Finite Group Databasebeta

← #17941979

Subgroups — #17941979

Order 4352.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543377C212yesmaximal, complemented
2#14543373C212yesmaximal, complemented
3#14543345C212yesmaximal, complemented
4#14543337C214yesmaximal, complemented
5#14543319C212yesmaximal, complemented
6#14543304C212yesmaximal, complemented
7#14543299C212yesmaximal, complemented
8#14543255C211yesmaximal, characteristic, complemented
9#14543230C211yesmaximal, characteristic, complemented
10#14543226C211yesmaximal, characteristic, complemented
11#14543158C211yesmaximal, characteristic, complemented
12#14543150C211yesmaximal, characteristic, complemented
13#14543118C211yesmaximal, characteristic, complemented
14#14543108C211yesmaximal, characteristic, complemented
15#14543022C212yesmaximal, complemented
16#14543009C212yesmaximal, complemented
17#14542976C214yesmaximal, complemented
18#14542921C214yesmaximal, complemented
19#14542395C212yesmaximal, complemented
20#14542393C212yesmaximal, complemented
21#14542384C211yesmaximal, characteristic, complemented
22#14542380C211yesmaximal, characteristic, complemented
23D4×#63256C211yesmaximal, characteristic, complemented
24#14542274C211yesmaximal, characteristic, complemented
25#14542273C212yesmaximal, complemented
26#14542271C212yesmaximal, complemented
27#14542204C212yesmaximal, complemented
28#14542199C212yesmaximal, complemented
29#14542192C214yesmaximal, complemented
30#14542171C212yesmaximal, complemented
31#14542116C212yesmaximal, complemented
32#14542081C211yesmaximal, characteristic, complemented
33D17×#532C211yesmaximal, characteristic, complemented
34D17×#529C211yesmaximal, characteristic, complemented
35C17×#3554C211yesmaximal, characteristic, complemented
36C22×#63256C2212yescomplemented
37C2×#41×D17C2212yescomplemented
38C2×#41×D17C2212yescomplemented
39#11763563C2214yescomplemented
40#11763560C2214yescomplemented
41#11763560C2214yescomplemented
42#11763556C2214yescomplemented
43#11763556C2214yescomplemented
44#11763555C2214yescomplemented
45#11763555C2214yescomplemented
46#11763553C2214yescomplemented
47#11763551C2214yescomplemented
48#11763549C2214yescomplemented
49#11763549C2214yescomplemented
50#11763547C2214yescomplemented
51#11763547C2214yescomplemented
52#11763547C2214yescomplemented
53#11763547C2214yescomplemented
54#11763544C2211yescharacteristic, complemented
55#11763544C2212yescomplemented
56#11763544C2212yescomplemented
57#11763542C2212yescomplemented
58#11763537C2211yescharacteristic, complemented
59#11763533C2212yescomplemented
60#11763533C2211yescharacteristic, complemented
61#11763532C2211yescharacteristic, complemented
62#11763528C2212yescomplemented
63#11763520C2212yescomplemented
64#11763519C2212yescomplemented
65#11763519C2212yescomplemented
66#11763512C2214yescomplemented
67#11763512C2212yescomplemented
68#11763512C2212yescomplemented
69#11763512C2212yescomplemented
70#11763509C2214yescomplemented
71#11763509C2212yescomplemented
72#11763509C2212yescomplemented
73#11763509C2212yescomplemented
74#11763507C2214yescomplemented
75#11763504C2214yescomplemented
76#11763487C2214yescomplemented
77#11763487C2214yescomplemented
78#11763486C2214yescomplemented
79#11763486C2214yescomplemented
80#11763481C2211yescharacteristic, complemented
81#11763481C2211yescharacteristic, complemented
82#11763480C2212yescomplemented
83#11763479C2211yescharacteristic, complemented
84#11763478C2212yescomplemented
85Q8×D68C2211yescharacteristic, complemented
86#11763474C2212yescomplemented
87Q8×C22⋊D17C2212yescomplemented
88#11763471C2212yescomplemented
89#11763471C2212yescomplemented
90#11763470C2212yescomplemented
91#11763469C2212yescomplemented
92#11763469C2212yescomplemented
93#11763467C2212yescomplemented
94#11763466C2212yescomplemented
95#11763464C2211yescharacteristic, complemented
96#11763464C2212yescomplemented
97#11763462C2211yescharacteristic, complemented
98#11763462C2212yescomplemented
99#11763461C2212yescomplemented
100#11763461C2214yescomplemented
101#11763460C2214yescomplemented
102#11763456C2212yescomplemented
103#11763456C2214yescomplemented
104#11763455C2212yescomplemented
105#11763455C2214yescomplemented
106#11763454C2212yescomplemented
107#11763454C2212yescomplemented
108#11763452C2212yescomplemented
109#11763452C2212yescomplemented
110#11763452C2212yescomplemented
111#11763452C2214yescomplemented
112#11763452C2214yescomplemented
113#11763451C2214yescomplemented
114#11763451C2214yescomplemented
115#11763450C2212yescomplemented
116#11763450C2214yescomplemented
117#11763450C2214yescomplemented
118#11763447C2212yescomplemented
119#11763447C2212yescomplemented
120D4×D68C2211yescharacteristic, complemented
121D4×D68C2212yescomplemented
122D4×D68C2212yescomplemented
123D4×D68C2212yescomplemented
124#11763444C2212yescomplemented
125#11763444C2211yescharacteristic, complemented
126#11763444C2212yescomplemented
127#11763443C2212yescomplemented
128#11763443C2214yescomplemented
129#11763443C2214yescomplemented
130#11763439C2212yescomplemented
131#11763436C2212yescomplemented
132#11763434C2214yescomplemented
133#11763433C2212yescomplemented
134#11763431C2212yescomplemented
135#11763430C2212yescomplemented
136#11763430C2212yescomplemented
137#11763429C2214yescomplemented
138#11763428C2212yescomplemented
139#11763427C2214yescomplemented
140#11763424C2212yescomplemented
141#11763419C2212yescomplemented
142#11763417C2212yescomplemented
143#11763414C2212yescomplemented
144#11763412C2212yescomplemented
145#11763411C2214yescomplemented
146#11763410C2212yescomplemented
147#11763410C2212yescomplemented
148#11763410C2212yescomplemented
149#11763409C2214yescomplemented
150#11763407C2214yescomplemented
151#11763407C2214yescomplemented
152#11763406C2214yescomplemented
153#11763405C2214yescomplemented
154#11763405C2214yescomplemented
155#11763405C2214yescomplemented
156#11763400C2214yescomplemented
157#11763398C2214yescomplemented
158#11763398C2214yescomplemented
159#11763398C2214yescomplemented
160#11763395C2214yescomplemented
161#11763395C2214yescomplemented
162#11763395C2214yescomplemented
163#11763395C2214yescomplemented
164#11763393C2214yescomplemented
165#11763393C2214yescomplemented
166#11763392C2214yescomplemented
167#11763392C2214yescomplemented
168#11763391C2214yescomplemented
169#11763389C2214yescomplemented
170#11763389C2214yescomplemented
171#11763389C2212yescomplemented
172#11763388C2212yescomplemented
173#11763384C2212yescomplemented
174#11763384C2212yescomplemented
175#11763383C2212yescomplemented
176#11763378C2212yescomplemented
177#11763377C2212yescomplemented
178#11763377C2212yescomplemented
179#11763377C2212yescomplemented
180#11763375C2212yescomplemented
181#11763375C2212yescomplemented
182#11763373C2212yescomplemented
183#11763372C2212yescomplemented
184#11763370C2214yescomplemented
185#11763370C2214yescomplemented
186#11763370C2214yescomplemented
187#11763370C2214yescomplemented
188#11763367C2214yescomplemented
189#11763364C2211yescharacteristic, complemented
190#11763364C2211yescharacteristic, complemented
191#11763360C2211yescharacteristic, complemented
192#11763360C2211yescharacteristic, complemented
193#11763360C2212yescomplemented
194#11763360C2211yescharacteristic, complemented
195#11763360C2212yescomplemented
196#11763359C2211yescharacteristic, complemented
197#11763359C2211yescharacteristic, complemented
198#11763358C2212yescomplemented
199#11763358C2212yescomplemented
200#11763358C2214yescomplemented
201#11763357C2211yescharacteristic, complemented
202#11763357C2212yescomplemented
203#11763356C2212yescomplemented
204#11763356C2212yescomplemented
205#11763355C2212yescomplemented
206#11763354C2212yescomplemented
207#11763354C2214yescomplemented
208#11763354C2212yescomplemented
209C4⋊Q8×D17C2211yescharacteristic, complemented
210#127×D17C2211yescharacteristic, complemented
211#11763346C2211yescharacteristic, complemented
212#11763346C2211yescharacteristic, complemented
213#11763346C2212yescomplemented
214#11763346C2211yescharacteristic, complemented
215#11763345C2211yescharacteristic, complemented
216#11763345C2211yescharacteristic, complemented
217#11763345C2212yescomplemented
218#11763345C2214yescomplemented
219#11763345C2211yescharacteristic, complemented
220#11763344C2212yescomplemented
221#11763344C2212yescomplemented
222#11763344C2212yescomplemented
223#11763344C2214yescomplemented
224#11763344C2211yescharacteristic, complemented
225#11763343C2211yescharacteristic, complemented
226#11763342C2214yescomplemented
227#11763342C2212yescomplemented
228#11763341C2211yescharacteristic, complemented
229#11763340C2211yescharacteristic, complemented
230#11763339C2212yescomplemented
231#11763338C2212yescomplemented
232#11763338C2211yescharacteristic, complemented
233#11763338C2214yescomplemented
234#11763337C2212yescomplemented
235#11763336C2214yescomplemented
236#11763336C2212yescomplemented
237#11763336C2214yescomplemented
238#126×D17C2212yescomplemented
239#125×D17C2211yescharacteristic, complemented
240#124×D17C2212yescomplemented
241#124×D17C2211yescharacteristic, complemented
242#11763322C2212yescomplemented
243#11763322C2211yescharacteristic, complemented
244#11763322C2211yescharacteristic, complemented
245#11763322C2214yescomplemented
246#11763322C2214yescomplemented
247#11763322C2214yescomplemented
248#11763322C2214yescomplemented
249#11763322C2212yescomplemented
250#11763321C2212yescomplemented
251#11763319C2214yescomplemented
252#11763319C2214yescomplemented
253#11763319C2212yescomplemented
254#11763317C2214yescomplemented
255#11763317C2214yescomplemented
256#11763317C2214yescomplemented
257#11763317C2214yescomplemented
258#123×D17C2212yescomplemented
259C22⋊Q8×D17C2211yescharacteristic, complemented
260#121×D17C2211yescharacteristic
261#121×D17C2212yescomplemented
262#121×D17C2212yescomplemented
263C4×#63256C2211yescharacteristic, complemented
264C4×#63256C2211yescharacteristic, complemented
265C4×#63256C2212yescomplemented
266C4×#63256C2212yescomplemented
267C4×#63256C2212yescomplemented
268#11763277C2212yescomplemented
269C4×#63254C2212yescomplemented
270C4×#63254C2212yescomplemented
271C4×Q8×D17C2211yescharacteristic, complemented
272C2×#10587579C2214yescomplemented
273C4×D4×D17C2212yescomplemented
274C4×D4×D17C2214yescomplemented
275C4×D4×D17C2212yescomplemented
276C4×D4×D17C2212yescomplemented
277C4×D4×D17C2212yescomplemented
278C4×D4×D17C2212yescomplemented
279C4×D4×D17C2211yescharacteristic, complemented
280#117×D17C2212yescomplemented
281C2×C42×D17C2211yescharacteristic, complemented
282C17×#562C2214yescomplemented
283C17×#559C2211yescharacteristic, complemented
284C17×#559C2212yescomplemented
285C17×#557C2211yescharacteristic, complemented
286C17×#554C2212yescomplemented
287C17×#550C2211yescharacteristic, complemented
288D4×Q8×C17C2211yescharacteristic, complemented
289C17×#548C2212yescomplemented
290C17×#547C2212yescomplemented
291C17×#542C2212yescomplemented
292C17×#542C2212yescomplemented
293C17×#540C2212yescomplemented
294C17×#539C2214yescomplemented
295C17×#536C2212yescomplemented
296C17×#533C2211yescharacteristic, complemented
297C17×#532C2211yescharacteristic, complemented
298C17×#529C2211yescharacteristic, complemented
299C2×#41×C17C2312yes—
300C2×#41×C17C2312yes—
301C22×Q8×C17C2312yes—
302#41×D17—48no—
303#41×D17—48no—
304C2×#63256—48no—
305C2×#63256C2311yescharacteristic
306C2×#63256C2312yes—
307C2×#63256C2311yescharacteristic
308C2×#63256C2314yes—
309C2×#63256C2312yes—
310C2×#63256C2312yes—
311C2×#63256C2312yes—
312C2×#63256C2312yes—
313C2×#63256C2314yes—
314C2×Q8×D17C2312yes—
315C2×Q8×D17C2311yescharacteristic
316C2×Q8×D17C2312yes—
317C2×#63254C2312yes—
318C2×#63254C2312yes—
319C2×#63254C2314yes—
320C2×#63254C2314yes—
321C2×D4×D17C2314yes—
322C2×D4×D17C2312yes—
323C2×D4×D17C2312yes—
324C2×D4×D17C2311yescharacteristic
325C2×D4×D17C2312yes—
326C2×D4×D17C2312yes—
327C2×D4×D17C2314yes—
328C2×D4×D17C2312yes—
329C2×D4×D17C2312yes—
330C2×D4×D17C2314yes—
331C2×D4×D17C2312yes—
332C2×#63252C2314yes—
333C2×#63252C2312yes—
334C2×#63252C2314yes—
335C2×#63252C2312yes—
336C2×#63252C2312yes—
337C22×D68C2314yes—
338C22×D68C2314yes—
339C22×D68C2312yes—
340C22×C4×D17C2311yescharacteristic
341C22×C4×D17C2312yes—
342C22×C4×D17C2311yescharacteristic
343C22×C4×D17C2311yescharacteristic
344C22×C4×D17C2314yes—
345C22×C4×D17C2314yes—
346C22×C4×D17C2314yes—
347C17×C4⋊Q8C2311yescharacteristic
348C17×C4⋊Q8C2312yes—
349C17×C4⋊Q8C2312yes—
350C17×C4⋊Q8C2311yescharacteristic
351C17×C4⋊Q8C2311yescharacteristic
352C17×#127C2311yescharacteristic
353C17×#127C2312yes—
354C17×#126C2312yes—
355C17×#126C2314yes—
356C17×#125C2311yescharacteristic
357C17×#125C2312yes—
358C17×#125C2314yes—
359C17×#125C2312yes—
360C17×#124C2312yes—
361C17×#124C2311yescharacteristic
362C17×#124C2312yes—
363C17×#124C2312yes—
364C17×#124C2314yes—
365C17×#124C2314yes—
366C17×#123C2314yes—
367C17×#123C2314yes—
368C17×#123C2312yes—
369C17×#123C2314yes—
370C17×#123C2314yes—
371C17×#123C2314yes—
372C17×#123C2314yes—
373C17×C22⋊Q8C2311yescharacteristic
374C17×C22⋊Q8C2314yes—
375C17×C22⋊Q8C2311yescharacteristic
376C17×C22⋊Q8C2312yes—
377C17×C22⋊Q8C2314yes—
378C17×C22⋊Q8C2311yescharacteristic
379C17×C22⋊Q8C2312yes—
380C17×C22⋊Q8C2314yes—
381C17×C22⋊Q8C2314yes—
382C17×C22⋊Q8C2314yes—
383C17×#121C2314yes—
384C17×#121C2312yes—
385C17×#121C2311yescharacteristic
386C17×#121C2312yes—
387C17×#121C2312yes—
388C17×#121C2314yes—
389C17×#121C2314yes—
390C4×Q8×C17C2312yes—
391C4×Q8×C17C2312yes—
392C4×Q8×C17C2311yescharacteristic
393C4×Q8×C17C2311yescharacteristic
394C4×Q8×C17C2311yescharacteristic
395C4×Q8×C17C2312yes—
396C4×D4×C17C2311yescharacteristic
397C4×D4×C17C2312yes—
398C4×D4×C17C2312yes—
399C4×D4×C17C2312yes—
400C4×D4×C17C2312yes—
401C4×D4×C17C2314yes—
402C4×D4×C17C2312yes—
403C4×D4×C17C2312yes—
404C4×D4×C17C2312yes—
405C17×#117C2312yes—
406C17×#117C2312yes—
407C2×C4⋊C4×C17C2314yes—
408C2×C42×C17C2311yescharacteristic
409#10587633C2312yes—
410#10587633C2312yes—
411#10587633C2314yes—
412#10587633C2312yes—
413#10587633C2314yes—
414#10587633C2312yes—
415#10587633C2311yescharacteristic
416#10587633C2311yescharacteristic
417#10587633C2311yescharacteristic
418#10587632C2312yes—
419#10587632C2314yes—
420#10587632C2312yes—
421#10587632C2311yescharacteristic
422#10587632C2314yes—
423#10587632C2311yescharacteristic
424#10587632C2314yes—
425#10587632C2311yescharacteristic
426#10587632C2314yes—
427#10587632C2312yes—
428#10587632C2314yes—
429Q8×Dic17C2311yescharacteristic
430Q8×Dic17C2311yescharacteristic
431Q8×Dic17C2312yes—
432Q8×Dic17C2311yescharacteristic
433Q8×Dic17C2312yes—
434#10587630C2312yes—
435#10587630C2314yes—
436#10587630C2312yes—
437#10587626C2312yes—
438#10587626C2314yes—
439#10587626C2314yes—
440#10587626C2312yes—
441#10587626C2312yes—
442#10587626C2312yes—
443#10587625C2314yes—
444#10587625C2312yes—
445#10587625C2314yes—
446#10587625C2314yes—
447#10587625C2314yes—
448#10587625C2314yes—
449#10587625C2314yes—
450#10587624C2312yes—
451#10587624C2314yes—
452#10587624C2312yes—
453#10587624C2312yes—
454#10587624C2312yes—
455#10587624C2312yes—
456#10587624C2314yes—
457#10587624C2314yes—
458#10587624C2312yes—
459#10587624C2311yescharacteristic
460#10587624C2314yes—
461#10587623C2314yes—
462#10587623C2314yes—
463#10587623C2314yes—
464#10587623C2314yes—
465#10587623C2314yes—
466#10587623C2314yes—
467#10587623C2314yes—
468#10587623C2314yes—
469#10587623C2314yes—
470#10587622C2314yes—
471#10587622C2312yes—
472#10587622C2311yescharacteristic
473#10587621C2312yes—
474D4×Dic17C2312yes—
475D4×Dic17C2311yescharacteristic
476D4×Dic17C2312yes—
477D4×Dic17C2314yes—
478D4×Dic17C2312yes—
479D4×Dic17C2312yes—
480#10587616C2314yes—
481#10587616C2312yes—
482#10587616C2314yes—
483#10587616C2311yescharacteristic
484#10587616C2314yes—
485#10587616C2311yescharacteristic
486#10587616C2314yes—
487#10587616C2314yes—
488#10587616C2312yes—
489#10587616C2312yes—
490#10587616C2311yescharacteristic
491#10587616C2312yes—
492#10587616C2314yes—
493#10587615C2314yes—
494#10587615C2314yes—
495#10587615C2314yes—
496#10587615C2314yes—
497#10587615C2312yes—
498#10587615C2314yes—
499#10587615C2314yes—
500C4×C22⋊D17C2312yes—
501C4×C22⋊D17C2314yes—
502C4×C22⋊D17C2314yes—
503C4×C22⋊D17C2312yes—
504C4×C22⋊D17C2314yes—
505C4×C22⋊D17C2312yes—
506C4×C22⋊D17C2314yes—
507C4×C22⋊D17C2314yes—
508C4×C22⋊D17C2314yes—
509C4×C22⋊D17C2314yes—
510C4×C22⋊D17C2314yes—
511C2×#63227C2314yes—
512C2×#63227C2314yes—
513#10587612C2312yes—
514#10587610C2312yes—
515#10587610C2314yes—
516#10587610C2314yes—
517#10587610C2311yescharacteristic
518C2×C4×Dic17C2311yescharacteristic
519C2×C4×Dic17C2311yescharacteristic
520C2×C4×Dic17C2311yescharacteristic
521C2×C4×Dic17C2314yes—
522#10587584C2312yes—
523#10587584C2314yes—
524#10587584C2314yes—
525#10587584C2314yes—
526#10587584C2314yes—
527#10587584C2314yes—
528#10587584C2314yes—
529#10587584C2312yes—
530#10587584C2312yes—
531#10587584C2312yes—
532#10587584C2312yes—
533#10587584C2314yes—
534#10587584C2312yes—
535#10587584C2312yes—
536#10587583C2312yes—
537#10587583C2314yes—
538#10587583C2314yes—
539#10587583C2312yes—
540#10587583C2314yes—
541#10587583C2311yescharacteristic
542#10587583C2312yes—
543#10587583C2312yes—
544#10587582C2314yes—
545#10587582C2314yes—
546#10587582C2314yes—
547#10587582C2314yes—
548#10587582C2314yes—
549#10587582C2314yes—
550#10587582C2312yes—
551#10587582C2314yes—
552#10587582C2314yes—
553#10587582C2314yes—
554#10587581C2314yes—
555#10587581C2312yes—
556#10587581C2312yes—
557#10587581C2312yes—
558#10587581C2311yescharacteristic
559#10587581C2312yes—
560#10587581C2311yescharacteristic
561#10587581C2314yes—
562#10587581C2314yes—
563#10587581C2312yes—
564#10587581C2314yes—
565#10587581C2314yes—
566#10587581C2314yes—
567#10587581C2311yescharacteristic
568#10587581C2312yes—
569#10587581C2314yes—
570#10587581C2312yes—
571#10587581C2312yes—
572#10587581C2312yes—
573#10587581C2314yes—
574#10587580C2312yes—
575#10587580C2314yes—
576#10587580C2312yes—
577#10587580C2314yes—
578#10587580C2314yes—
579#10587580C2314yes—
580#10587580C2314yes—
581#10587580C2312yes—
582#10587580C2314yes—
583#10587580C2314yes—
584#10587580C2314yes—
585#10587580C2314yes—
586#10587580C2314yes—
587#10587580C2312yes—
588#10587580C2312yes—
589#10587580C2312yes—
590#10587580C2314yes—
591#10587580C2314yes—
592#10587580C2314yes—
593#10587579C2312yes—
594#10587579C2311yescharacteristic
595#10587579C2314yes—
596#10587579C2314yes—
597#10587579C2312yes—
598#10587579C2314yes—
599#10587579C2314yes—
600#10587579C2314yes—
601#10587579C2312yes—
602#10587579C2311yescharacteristic
603#10587579C2312yes—
604#10587579C2312yes—
605#10587579C2312yes—
606#10587579C2312yes—
607#10587579C2312yes—
608#10587579C2314yes—
609#10587579C2314yes—
610#10587579C2312yes—
611#10587579C2312yes—
612#10587579C2311yescharacteristic
613#10587579C2314yes—
614#10587579C2312yes—
615#10587578C2312yes—
616#10587578C2312yes—
617#10587578C2312yes—
618#10587578C2314yes—
619#10587578C2312yes—
620#10587578C2312yes—
621#10587578C2312yes—
622#10587578C2312yes—
623#10587578C2311yescharacteristic
624#10587578C2311yescharacteristic
625#10587578C2312yes—
626#10587578C2314yes—
627#10587578C2312yes—
628C4⋊C4×D17C2312yes—
629C4⋊C4×D17C2314yes—
630C4⋊C4×D17C2311yescharacteristic
631C4⋊C4×D17C2312yes—
632C4⋊C4×D17C2312yes—
633C4⋊C4×D17C2312yes—
634C4⋊C4×D17C2311yescharacteristic
635C4⋊C4×D17C2312yes—
636C4⋊C4×D17C2312yes—
637C4⋊C4×D17C2312yes—
638C4⋊C4×D17C2312yes—
639#10587576C2314yes—
640#10587576C2312yes—
641#10587576C2311yescharacteristic
642#10587576C2311yescharacteristic
643#10587576C2311yescharacteristic
644#10587576C2311yescharacteristic
645#10587575C2314yes—
646#10587575C2312yes—
647#10587575C2312yes—
648#10587575C2314yes—
649#10587575C2314yes—
650#10587574C2314yes—
651#10587574C2312yes—
652#10587574C2312yes—
653#10587573C2312yes—
654#10587573C2311yescharacteristic
655#10587573C2312yes—
656#10587573C2312yes—
657#10587573C2312yes—
658#10587572C2314yes—
659#10587572C2314yes—
660#10587572C2312yes—
661#10587572C2312yes—
662#10587572C2312yes—
663#10587571C2314yes—
664#10587571C2314yes—
665#10587571C2314yes—
666#10587571C2312yes—
667#10587571C2314yes—
668#10587571C2312yes—
669#10587571C2314yes—
670#10587571C2314yes—
671#10587571C2314yes—
672#10587570C2314yes—
673#10587570C2314yes—
674#10587570C2314yes—
675#10587570C2314yes—
676#10587570C2314yes—
677#10587570C2314yes—
678#10587570C2314yes—
679#10587570C2314yes—
680#10587570C2314yes—
681#10587570C2314yes—
682#10587570C2314yes—
683#10587570C2314yes—
684#10587570C2312yes—
685#10587570C2314yes—
686#10587570C2314yes—
687#10587570C2314yes—
688#10587570C2314yes—
689#10587570C2314yes—
690#10587569C2314yes—
691#10587569C2314yes—
692#10587569C2314yes—
693#10587569C2314yes—
694#10587569C2314yes—
695#10587569C2312yes—
696#10587569C2314yes—
697#10587569C2314yes—
698#10587569C2314yes—
699#10587569C2312yes—
700#10587569C2314yes—
701#10587568C2314yes—
702#10587568C2314yes—
703#10587568C2314yes—
704#10587568C2314yes—
705#10587568C2314yes—
706#10587568C2314yes—
707#10587568C2314yes—
708#10587568C2314yes—
709#10587568C2314yes—
710#10587568C2312yes—
711#10587568C2312yes—
712#10587568C2314yes—
713#10587568C2314yes—
714#10587568C2314yes—
715#10587568C2314yes—
716#10587567C2314yes—
717#10587567C2312yes—
718#10587567C2312yes—
719#10587567C2314yes—
720#10587567C2314yes—
721#10587567C2314yes—
722#10587567C2314yes—
723#10587567C2312yes—
724#10587567C2314yes—
725#10587567C2314yes—
726#10587567C2312yes—
727#10587567C2312yes—
728#10587567C2312yes—
729#10587567C2312yes—
730C22⋊C4×D17C2314yes—
731C22⋊C4×D17C2312yes—
732C22⋊C4×D17C2314yes—
733C22⋊C4×D17C2314yes—
734C22⋊C4×D17C2314yes—
735C22⋊C4×D17C2314yes—
736C22⋊C4×D17C2312yes—
737C22⋊C4×D17C2312yes—
738C22⋊C4×D17C2314yes—
739C22⋊C4×D17C2312yes—
740C22⋊C4×D17C2312yes—
741#10587565C2312yes—
742#10587565C2314yes—
743#10587565C2314yes—
744#10587565C2314yes—
745#10587565C2314yes—
746#10587565C2312yes—
747#10587565C2312yes—
748#10587565C2314yes—
749#10587564C2314yes—
750#10587564C2312yes—
751#10587564C2314yes—
752#10587563C2314yes—
753#10587563C2312yes—
754#10587563C2312yes—
755#10587563C2314yes—
756#10587562C2312yes—
757#10587562C2314yes—
758#10587561C2312yes—
759#10587561C2312yes—
760#10587561C2314yes—
761#10587561C2314yes—
762#10587561C2311yescharacteristic
763#10587561C2312yes—
764#10587561C2312yes—
765#10587560C2312yes—
766#10587560C2311yescharacteristic
767#10587560C2312yes—
768#10587560C2311yescharacteristic
769C4×D68C2312yes—
770C4×D68C2311yescharacteristic
771C4×D68C2311yescharacteristic
772C4×D68C2312yes—
773C4×D68C2312yes—
774C4×D68C2311yescharacteristic
775C4×D68C2312yes—
776C4×D68C2314yes—
777C4×D68C2314yes—
778C4×D68C2312yes—
779C4×D68C2312yes—
780C4×D68C2314yes—
781C4×D68C2312yes—
782C4×D68C2312yes—
783C4×D68C2312yes—
784C4×D68C2312yes—
785C4×D68C2312yes—
786C4×D68C2312yes—
787#10587558C2312yes—
788#10587558C2312yes—
789#10587558C2312yes—
790#10587558C2312yes—
791C42×D17C2311yescharacteristic
792C42×D17C2311yescharacteristic
793C42×D17C2311yescharacteristic
794C42×D17C2311yescharacteristic
795C42×D17C2311yescharacteristic
796C42×D17C2311yescharacteristic
797C42×D17C2311yescharacteristic
798C42×D17C2311yescharacteristic
799C42×D17C2312yes—
800C42×D17C2312yes—
801C42×D17C2312yes—
802C42×D17C2314yes—
803#10587556C2311yescharacteristic
804#10587556C2312yes—
805#10587556C2314yes—
806#10587555C2312yes—
807#10587555C2311yescharacteristic
808#10587555C2311yescharacteristic
809C4×Dic34C2312yes—
810C4×Dic34C2312yes—
811C4×Dic34C2311yescharacteristic
812C4×Dic34C2312yes—
813C23×D17C2411yescharacteristic
814C23×D17C2412yes—
815C23×D17C2414yes—
816C23×D17C2414yes—
817C23×D17C2414yes—
818#41×C17—44no—
819#41×C17—44no—
820C2×Q8×C17—44no—
821C2×Q8×C17C2411yescharacteristic
822C2×Q8×C17C2411yescharacteristic
823C2×Q8×C17C2412yes—
824C2×Q8×C17C2411yescharacteristic
825C2×Q8×C17C2414yes—
826C2×Q8×C17C2412yes—
827C2×D4×C17C2412yes—
828C2×D4×C17C2411yescharacteristic
829C2×D4×C17C2412yes—
830C2×D4×C17C2414yes—
831C2×D4×C17C2412yes—
832C2×D4×C17C2414yes—
833C2×D4×C17C2414yes—
834C2×D4×C17C2412yes—
835C22×C4×C17C2411yescharacteristic
836C22×C4×C17C2412yes—
837C22×C4×C17C2411yescharacteristic
838C22×C4×C17C2411yescharacteristic
839C22×C4×C17C2414yes—
840C22×C4×C17C2414yes—
841C22×C4×C17C2414yes—
842C22×C4×C17C2414yes—
843C2×C22⋊D17C2414yes—
844C2×C22⋊D17C2412yes—
845C2×C22⋊D17C2414yes—
846C2×C22⋊D17C2414yes—
847C2×C22⋊D17C2414yes—
848C2×C22⋊D17C2414yes—
849C2×C22⋊D17C2412yes—
850C2×C22⋊D17C2412yes—
851C2×C22⋊D17C2414yes—
852C2×C22⋊D17C2412yes—
853C2×C22⋊D17C2414yes—
854C2×C22⋊D17C2414yes—
855C2×C22⋊D17C2414yes—
856C2×C22⋊D17C2414yes—
857C2×C22⋊D17C2412yes—
858C2×C22⋊D17C2414yes—
859C22×Dic17C2412yes—
860C22×Dic17C2414yes—
861C22×Dic17C2411yescharacteristic
862C22×Dic17C2411yescharacteristic
863C22×Dic17C2411yescharacteristic
864C22×Dic17C2414yes—
865#63256—24no—
866#63256—28no—
867#63256—24no—
868#63256—48no—
869#63256—48no—
870#63256—44no—
871#63256—44no—
872#63256—44no—
873#63256—44no—
874Q8×D17—42no—
875Q8×D17—44no—
876Q8×D17—44no—
877#63254—28no—
878#63254—44no—
879#63254—48no—
880#63254—48no—
881D4×D17—44no—
882D4×D17—42no—
883D4×D17—44no—
884D4×D17—44no—
885D4×D17—44no—
886D4×D17—44no—
887D4×D17—44no—
888D4×D17—44no—
889D4×D17—48no—
890D4×D17—48no—
891D4×D17—48no—
892#63252—44no—
893#63252—44no—
894#63252—44no—
895#63252—48no—
896#63252—48no—
897C2×D68—44no—
898C2×D68—48no—
899C2×D68—48no—
900C2×D68C2412yes—
901C2×D68C2411yescharacteristic
902C2×D68C2412yes—
903C2×D68C2412yes—
904C2×D68C2412yes—
905C2×D68C2414yes—
906C2×D68C2411yescharacteristic
907C2×D68C2412yes—
908C2×D68C2411yescharacteristic
909C2×D68C2412yes—
910C2×D68C2412yes—
911C2×D68C2414yes—
912C2×D68C2414yes—
913C2×D68C2414yes—
914C2×D68C2414yes—
915C2×D68C2414yes—
916C2×D68C2412yes—
917C2×D68C2412yes—
918C2×D68C2414yes—
919C2×D68C2412yes—
920C2×C4×D17—28no—
921C2×C4×D17—24no—
922C2×C4×D17—48no—
923C2×C4×D17—48no—
924C2×C4×D17—48no—
925C2×C4×D17—42no—
926C2×C4×D17—42no—
927C2×C4×D17C2411yescharacteristic
928C2×C4×D17C2412yes—
929C2×C4×D17C2412yes—
930C2×C4×D17C2414yes—
931C2×C4×D17C2412yes—
932C2×C4×D17C2411yescharacteristic
933C2×C4×D17C2412yes—
934C2×C4×D17C2411yescharacteristic
935C2×C4×D17C2411yescharacteristic
936C2×C4×D17C2411yescharacteristic
937C2×C4×D17C2412yes—
938C2×C4×D17C2411yescharacteristic
939C2×C4×D17C2411yescharacteristic
940C2×C4×D17C2412yes—
941C2×C4×D17C2412yes—
942C2×C4×D17C2414yes—
943C2×C4×D17C2414yes—
944C2×C4×D17C2414yes—
945C2×C4×D17C2414yes—
946C2×C4×D17C2414yes—
947C2×C4×D17C2414yes—
948C2×C4×D17C2411yescharacteristic
949C2×C4×D17C2411yescharacteristic
950C2×C4×D17C2411yescharacteristic
951C2×C4×D17C2411yescharacteristic
952C2×C4×D17C2414yes—
953C2×C4×D17C2412yes—
954C2×C4×D17C2412yes—
955C2×C4×D17C2412yes—
956C2×C4×D17C2414yes—
957C2×C4×D17C2412yes—
958C2×C4×D17C2411yescharacteristic
959C2×Dic34C2412yes—
960C2×Dic34C2411yescharacteristic
961C2×Dic34C2414yes—
962C2×Dic34C2414yes—
963C2×Dic34C2412yes—
964C2×Dic34C2412yes—
965C4⋊C4×C17C2412yes—
966C4⋊C4×C17C2412yes—
967C4⋊C4×C17C2412yes—
968C4⋊C4×C17C2414yes—
969C4⋊C4×C17C2412yes—
970C4⋊C4×C17C2412yes—
971C4⋊C4×C17C2411yescharacteristic
972C4⋊C4×C17C2412yes—
973C4⋊C4×C17C2414yes—
974C4⋊C4×C17C2412yes—
975C4⋊C4×C17C2412yes—
976C4⋊C4×C17C2414yes—
977C4⋊C4×C17C2412yes—
978C4⋊C4×C17C2414yes—
979C4⋊C4×C17C2412yes—
980C4⋊C4×C17C2411yescharacteristic
981C4⋊C4×C17C2411yescharacteristic
982C4⋊C4×C17C2412yes—
983C4⋊C4×C17C2412yes—
984C4⋊C4×C17C2411yescharacteristic
985C4⋊C4×C17C2412yes—
986C22⋊C4×C17C2414yes—
987C22⋊C4×C17C2414yes—
988C22⋊C4×C17C2412yes—
989C22⋊C4×C17C2414yes—
990C22⋊C4×C17C2412yes—
991C22⋊C4×C17C2412yes—
992C22⋊C4×C17C2414yes—
993C22⋊C4×C17C2412yes—
994C22⋊C4×C17C2414yes—
995C22⋊C4×C17C2414yes—
996C22⋊C4×C17C2412yes—
997C22⋊C4×C17C2412yes—
998C22⋊C4×C17C2414yes—
999C22⋊C4×C17C2412yes—
1000C42×C17C2414yes—
1001C42×C17C2411yescharacteristic
1002C42×C17C2411yescharacteristic
1003C42×C17C2412yes—
1004C42×C17C2412yes—
1005C42×C17C2411yescharacteristic
1006C42×C17C2412yes—
1007C42×C17C2411yescharacteristic
1008C22⋊Dic17C2412yes—
1009C22⋊Dic17C2414yes—
1010C22⋊Dic17C2412yes—
1011C22⋊Dic17C2414yes—
1012C22⋊Dic17C2414yes—
1013C22⋊Dic17C2414yes—
1014C22⋊Dic17C2412yes—
1015C22⋊Dic17C2412yes—
1016C22⋊Dic17C2414yes—
1017C22⋊Dic17C2412yes—
1018#63227C2412yes—
1019#63227C2412yes—
1020#63227C2412yes—
1021#63227C2412yes—
1022#63227C2412yes—
1023#63227C2412yes—
1024#63227C2412yes—
1025#63227C2412yes—
1026#63227C2412yes—
1027#63227C2412yes—
1028#63227C2412yes—
1029#63227C2414yes—
1030#63227C2414yes—
1031#63227C2412yes—
1032#63227C2414yes—
1033#63227C2412yes—
1034#63227C2414yes—
1035#63227C2414yes—
1036#63227C2412yes—
1037#63227C2412yes—
1038#63227C2412yes—
1039#63227C2412yes—
1040#63227C2412yes—
1041#63227C2414yes—
1042#63227C2414yes—
1043#63227C2412yes—
1044#63227C2412yes—
1045#63227C2412yes—
1046#63227C2414yes—
1047#63227C2414yes—
1048#63227C2412yes—
1049#63227C2414yes—
1050#63227C2412yes—
1051#63227C2412yes—
1052#63227C2414yes—
1053#63227C2414yes—
1054#63227C2414yes—
1055#63227C2414yes—
1056#63227C2414yes—
1057#63227C2412yes—
1058#63227C2412yes—
1059#63227C2414yes—
1060C4⋊Dic17C2411yescharacteristic
1061C4⋊Dic17C2412yes—
1062C4⋊Dic17C2411yescharacteristic
1063C4⋊Dic17C2412yes—
1064C4⋊Dic17C2411yescharacteristic
1065C4⋊Dic17C2414yes—
1066C4⋊Dic17C2411yescharacteristic
1067C4⋊Dic17C2412yes—
1068C4⋊Dic17C2412yes—
1069C4⋊Dic17C2412yes—
1070C4⋊Dic17C2412yes—
1071C4⋊Dic17C2414yes—
1072C4⋊Dic17C2412yes—
1073C4⋊Dic17C2412yes—
1074C4⋊Dic17C2412yes—
1075C4⋊Dic17C2412yes—
1076C4⋊Dic17C2412yes—
1077#63225C2414yes—
1078#63225C2412yes—
1079#63225C2412yes—
1080#63225C2414yes—
1081#63225C2412yes—
1082#63225C2412yes—
1083#63225C2412yes—
1084#63225C2412yes—
1085#63225C2414yes—
1086#63225C2414yes—
1087#63225C2414yes—
1088#63225C2414yes—
1089#63225C2412yes—
1090#63225C2412yes—
1091#63225C2412yes—
1092#63225C2412yes—
1093#63225C2412yes—
1094#63225C2412yes—
1095#63225C2414yes—
1096#63225C2412yes—
1097#63225C2412yes—
1098#63225C2414yes—
1099C4×Dic17C2411yescharacteristic
1100C4×Dic17C2412yes—
1101C4×Dic17C2414yes—
1102C4×Dic17C2414yes—
1103C4×Dic17C2411yescharacteristic
1104C4×Dic17C2412yes—
1105C4×Dic17C2412yes—
1106C4×Dic17C2411yescharacteristic
1107C4×Dic17C2411yescharacteristic
1108C4×Dic17C2411yescharacteristic
1109C4×Dic17C2411yescharacteristic
1110C4×Dic17C2411yescharacteristic
1111C4×Dic17C2411yescharacteristic
1112C4×Dic17C2411yescharacteristic
1113C4×Dic17C2411yescharacteristic
1114C4×Dic17C2411yescharacteristic
1115C4×Dic17C2411yescharacteristic
1116C4×Dic17C2412yes—
1117C4×Dic17C2412yes—
1118C4×Dic17C2412yes—
1119C4×Dic17C2414yes—
1120C4×Dic17C2412yes—
1121#62748—171nomaximal, Sylow
1122C23×C17C2512yes—
1123C23×C17C2514yes—
1124C23×C17C2511yescharacteristic
1125C22×D17—22no—
1126C22×D17—22no—
1127C22×D17—24no—
1128C22×D17—28no—
1129C22×D17—41no—
1130C22×D17—44no—
1131C22×D17—44no—
1132C22×D17—44no—
1133C22×D17—44no—
1134C22×D17—42no—
1135C22×D17—44no—
1136C22×D17—42no—
1137C22×D17—44no—
1138C22×D17—44no—
1139C22×D17—44no—
1140C22×D17C2512yes—
1141C22×D17C2514yes—
1142C22×D17C2512yes—
1143C22×D17C2512yes—
1144C22×D17C2511yescharacteristic
1145C22×D17C2511yescharacteristic
1146Q8×C17—22no—
1147Q8×C17—24no—
1148Q8×C17—22no—
1149Q8×C17—22no—
1150Q8×C17—44no—
1151Q8×C17—42no—
1152D4×C17—24no—
1153D4×C17—22no—
1154D4×C17—24no—
1155D4×C17—44no—
1156D4×C17—44no—
1157D4×C17—42no—
1158D4×C17—44no—
1159D4×C17—42no—
1160C2×C4×C17—24no—
1161C2×C4×C17—22no—
1162C2×C4×C17—22no—
1163C2×C4×C17—44no—
1164C2×C4×C17—44no—
1165C2×C4×C17—44no—
1166C2×C4×C17—41no—
1167C2×C4×C17—44no—
1168C2×C4×C17C2512yes—
1169C2×C4×C17C2512yes—
1170C2×C4×C17C2511yescharacteristic
1171C2×C4×C17C2511yescharacteristic
1172C2×C4×C17C2511yescharacteristic
1173C2×C4×C17C2511yescharacteristic
1174C2×C4×C17C2512yes—
1175C2×C4×C17C2512yes—
1176C2×C4×C17C2512yes—
1177C2×C4×C17C2514yes—
1178C2×C4×C17C2512yes—
1179C2×C4×C17C2512yes—
1180C2×C4×C17C2511yescharacteristic
1181C2×C4×C17C2511yescharacteristic
1182C22⋊D17—28no—
1183C22⋊D17—24no—
1184C22⋊D17—44no—
1185C22⋊D17—44no—
1186C22⋊D17—44no—
1187C22⋊D17—44no—
1188C22⋊D17—42no—
1189C22⋊D17—42no—
1190C22⋊D17—42no—
1191C22⋊D17—44no—
1192C22⋊D17—44no—
1193C22⋊D17—44no—
1194C22⋊D17—44no—
1195C22⋊D17—44no—
1196C22⋊D17—42no—
1197C22⋊D17—44no—
1198C2×Dic17—24no—
1199C2×Dic17—22no—
1200C2×Dic17—28no—
1201C2×Dic17—41no—
1202C2×Dic17—41no—
1203C2×Dic17—44no—
1204C2×Dic17C2511yescharacteristic
1205C2×Dic17C2512yes—
1206C2×Dic17C2511yescharacteristic
1207C2×Dic17C2512yes—
1208C2×Dic17C2514yes—
1209C2×Dic17C2512yes—
1210C2×Dic17C2512yes—
1211C2×Dic17C2511yescharacteristic
1212C2×Dic17C2512yes—
1213C2×Dic17C2511yescharacteristic
1214C2×Dic17C2511yescharacteristic
1215C2×Dic17C2511yescharacteristic
1216D68—24no—
1217D68—28no—
1218D68—24no—
1219D68—24no—
1220D68—24no—
1221D68—24no—
1222D68—22no—
1223D68—24no—
1224D68—22no—
1225D68—22no—
1226D68—24no—
1227D68—44no—
1228D68—44no—
1229D68—44no—
1230D68—44no—
1231D68—44no—
1232D68—42no—
1233D68—42no—
1234D68—44no—
1235D68—42no—
1236C4×D17—22no—
1237C4×D17—24no—
1238C4×D17—22no—
1239C4×D17—22no—
1240C4×D17—22no—
1241C4×D17—24no—
1242C4×D17—22no—
1243C4×D17—22no—
1244C4×D17—24no—
1245C4×D17—24no—
1246C4×D17—22no—
1247C4×D17—24no—
1248C4×D17—24no—
1249C4×D17—28no—
1250C4×D17—24no—
1251C4×D17—41no—
1252C4×D17—41no—
1253C4×D17—41no—
1254C4×D17—41no—
1255C4×D17—44no—
1256C4×D17—44no—
1257C4×D17—44no—
1258C4×D17—44no—
1259C4×D17—44no—
1260C4×D17—44no—
1261C4×D17—44no—
1262C4×D17—42no—
1263C4×D17—42no—
1264C4×D17—44no—
1265C4×D17—42no—
1266C4×D17—42no—
1267C4×D17H(5,𝔽2)14yes—
1268Dic34—24no—
1269Dic34—22no—
1270Dic34—42no—
1271Dic34—44no—
1272Dic34—44no—
1273Dic34—42no—
1274#3562—172no—
1275#3562—172no—
1276#3561—172no—
1277#3560—174no—
1278#3559—172no—
1279#3558—172no—
1280#3558—172no—
1281#3554—171no—
1282#3554D1711yescharacteristic, complemented
1283#3552—171no—
1284#3552—171no—
1285#3546—171no—
1286#3546—171no—
1287#3543—171no—
1288#3543—171no—
1289#3537—172no—
1290#3536—172no—
1291#3534—174no—
1292#3529—174no—
1293#3481—172no—
1294#3481—172no—
1295#3480—171no—
1296#3480—171no—
1297D4×#41—171no—
1298D4×#41—171no—
1299D4×#41—172no—
1300D4×#41—172no—
1301#3460—172no—
1302#3460—172no—
1303#3459—174no—
1304#3455—172no—
1305#3449—172no—
1306#3444—171no—
1307C2×#532—171no—
1308C2×#529—171no—
1309C22×C17—24no—
1310C22×C17—21no—
1311C22×C17—22no—
1312C22×C17—21no—
1313C22×C17—24no—
1314C22×C17—21no—
1315C22×C17—22no—
1316C22×C17—22no—
1317C22×C17—24no—
1318C22×C17C2611yescharacteristic
1319C2×D17—21no—
1320C2×D17—21no—
1321C2×D17—21no—
1322C2×D17—21no—
1323C2×D17—22no—
1324C2×D17—22no—
1325C2×D17—24no—
1326C2×D17—22no—
1327C2×D17—22no—
1328C2×D17—22no—
1329C2×D17—22no—
1330C2×D17—22no—
1331C2×D17—24no—
1332C2×D17—24no—
1333C2×D17—22no—
1334C2×D17—22no—
1335C2×D17—44no—
1336C2×D17—88no—
1337C2×D17—84no—
1338C2×D17—88no—
1339C2×D17—88no—
1340C2×D17C2×H(5,𝔽2)12yes—
1341C2×D17#58512yes—
1342C4×C17—22no—
1343C4×C17—24no—
1344C4×C17—21no—
1345C4×C17—22no—
1346C4×C17—22no—
1347C4×C17—21no—
1348C4×C17—22no—
1349C4×C17—21no—
1350C4×C17—21no—
1351C4×C17—22no—
1352C4×C17—22no—
1353C4×C17—22no—
1354C4×C17C2×H(5,𝔽2)12yes—
1355C4×C17#58512yes—
1356Dic17—24no—
1357Dic17—21no—
1358Dic17—22no—
1359Dic17—22no—
1360Dic17—21no—
1361Dic17—22no—
1362Dic17—22no—
1363Dic17—21no—
1364Dic17—21no—
1365Dic17—21no—
1366Dic17—22no—
1367Dic17C2×H(5,𝔽2)12yes—
1368C22×#41—172no—
1369C22×#41—172no—
1370C22×#41—172no—
1371#563—174no—
1372#563—174no—
1373#563—174no—
1374#562—174no—
1375#562—174no—
1376#562—174no—
1377#562—174no—
1378#562—174no—
1379#562C2×D1714yescomplemented
1380H(3,𝔽4)—174no—
1381#560—174no—
1382#560—174no—
1383#560—174no—
1384#560—174no—
1385#560—174no—
1386#560—174no—
1387#559—171no—
1388#559—172no—
1389#559—172no—
1390#559—172no—
1391#559C2×D1711yescharacteristic, complemented
1392#559C2×D1712yescomplemented
1393#557—171no—
1394#557C2×D1711yescharacteristic, complemented
1395#556—171no—
1396#556—172no—
1397#556—172no—
1398#556—171no—
1399#554—172no—
1400#554—172no—
1401#554—172no—
1402#554C2×D1712yescomplemented
1403#553—174no—
1404#553—172no—
1405#553—172no—
1406#553—172no—
1407#553—174no—
1408#553—172no—
1409#553—172no—
1410#553—172no—
1411#553—174no—
1412#553—174no—
1413#551—174no—
1414#551—174no—
1415#551—174no—
1416#551—174no—
1417#550—172no—
1418#550—171no—
1419#550—171no—
1420#550—171no—
1421#550—172no—
1422#550C2×D1711yescharacteristic, complemented
1423D4×Q8—172no—
1424D4×Q8—172no—
1425D4×Q8—171no—
1426D4×Q8C2×D1711yescharacteristic, complemented
1427#548—172no—
1428#548—172no—
1429#548—172no—
1430#548—172no—
1431#548—172no—
1432#548—172no—
1433#548—172no—
1434#548C2×D1712yescomplemented
1435#547—172no—
1436#547—171no—
1437#547—172no—
1438#547—174no—
1439#547—172no—
1440#547—171no—
1441#547—174no—
1442#547C2×D1712yescomplemented
1443#546—172no—
1444#546—172no—
1445#546—174no—
1446#546—172no—
1447#546—174no—
1448#546—172no—
1449#546—172no—
1450#546—174no—
1451#546—174no—
1452#546—174no—
1453#546—172no—
1454#546—174no—
1455#546—174no—
1456#546—172no—
1457#546—172no—
1458#546—174no—
1459#546—172no—
1460#546—172no—
1461D42—172no—
1462D42—171no—
1463D42—172no—
1464D42—174no—
1465D42—174no—
1466D42—172no—
1467D42—172no—
1468D42—171no—
1469D42—172no—
1470D42—172no—
1471#544—172no—
1472#544—172no—
1473#543—174no—
1474#542—172no—
1475#542—172no—
1476#542—174no—
1477#542—174no—
1478#542—172no—
1479#542—172no—
1480#542—172no—
1481#542—172no—
1482#542C2×D1712yescomplemented
1483#542C2×D1712yescomplemented
1484#541—172no—
1485#541—172no—
1486#540—174no—
1487#540—172no—
1488#540—174no—
1489#540—172no—
1490#540—172no—
1491#540—172no—
1492#540—172no—
1493#540C2×D1712yescomplemented
1494#539—174no—
1495#539—174no—
1496#539—174no—
1497#539—174no—
1498#539—174no—
1499#539—174no—
1500#539—174no—
1501#539C2×D1714yescomplemented
1502#538—174no—
1503#538—174no—
1504#538—174no—
1505#538—174no—
1506#538—174no—
1507#538—174no—
1508#538—174no—
1509#538—174no—
1510#538—174no—
1511#538—174no—
1512#538—174no—
1513#538—174no—
1514#537—174no—
1515#537—174no—
1516#537—172no—
1517#537—172no—
1518#536—172no—
1519#536—172no—
1520#536—172no—
1521#536C2×D1712yescomplemented
1522#535—172no—
1523#535—172no—
1524#535—172no—
1525#535—172no—
1526#535—172no—
1527#535—172no—
1528#535—172no—
1529#535—172no—
1530#534—174no—
1531#534—174no—
1532#534—174no—
1533#534—174no—
1534#534—174no—
1535#533—171no—
1536#533—171no—
1537#533C2×D1711yescharacteristic, complemented
1538#532—172no—
1539#532—171no—
1540#532—171no—
1541#532—171no—
1542#532—172no—
1543#532—172no—
1544#532—171no—
1545#532—172no—
1546#532—172no—
1547#532—172no—
1548#532—174no—
1549#532—172no—
1550#532—172no—
1551#532—174no—
1552#532—172no—
1553#532—172no—
1554#532—171no—
1555#532—171no—
1556#532C2×D1711yescharacteristic, complemented
1557C2×C4⋊Q8—171no—
1558C2×#127—171no—
1559#529—172no—
1560#529—174no—
1561#529—171no—
1562#529—172no—
1563#529—172no—
1564#529—174no—
1565#529—172no—
1566#529—171no—
1567#529—174no—
1568#529—172no—
1569#529—172no—
1570#529—174no—
1571#529—174no—
1572#529—171no—
1573#529—172no—
1574#529—171no—
1575#529—171no—
1576#529—174no—
1577#529—171no—
1578#529—171no—
1579#529—171no—
1580#529—171no—
1581#529—172no—
1582#529—172no—
1583#529—171no—
1584#529—172no—
1585#529—171no—
1586#529C2×D1711yescharacteristic, complemented
1587C2×#126—172no—
1588C2×#125—171no—
1589C2×#124—171no—
1590C2×#124—172no—
1591#525—174no—
1592#525—174no—
1593#525—174no—
1594#525—174no—
1595#525—171no—
1596#525—171no—
1597#525—172no—
1598#525—174no—
1599#525—174no—
1600#525—172no—
1601#525—174no—
1602#525—174no—
1603#525—172no—
1604#525—174no—
1605#525—174no—
1606#525—172no—
1607C2×#123—172no—
1608C2×C22⋊Q8—171no—
1609C2×#121—171no—
1610C2×#121—172no—
1611C2×#121—172no—
1612C4×#41—171no—
1613C4×#41—171no—
1614C4×#41—172no—
1615C4×#41—172no—
1616C4×#41—172no—
1617C4×#41—172no—
1618C4×#41—172no—
1619C4×#41—172no—
1620C2×C4×Q8—171no—
1621C2×C4×D4—172no—
1622C2×C4×D4—171no—
1623C2×C4×D4—172no—
1624C2×C4×D4—172no—
1625C2×C4×D4—174no—
1626C2×C4×D4—172no—
1627C2×C4×D4—172no—
1628C2×C4×D4—174no—
1629C2×#117—172no—
1630C22×C42—171no—
1631C2×C17—41no—
1632C2×C17—42no—
1633C2×C17—44no—
1634C2×C17C22×H(5,𝔽2)11yescharacteristic
1635C2×C17C2×#58511yescharacteristic
1636C2×C17C2×#58511yescharacteristic
1637D17—22no—
1638D17—22no—
1639D17—42no—
1640D17—44no—
1641D17—42no—
1642D17—42no—
1643C2×#41—171no—
1644C2×#41—172no—
1645C2×#41—171no—
1646C2×#41—172no—
1647C2×#41—172no—
1648C2×#41—174no—
1649C2×#41—172no—
1650C2×#41—172no—
1651C2×#41—174no—
1652C2×#41—172no—
1653C2×#41—172no—
1654C2×#41—174no—
1655C2×#41—174no—
1656C2×#41—172no—
1657C2×#41—174no—
1658C2×#41—172no—
1659C2×#41—172no—
1660C2×#41—174no—
1661C2×#41—688no—
1662C2×#41—688no—
1663C2×#41—688no—
1664C2×#41C22×D1712yes—
1665C2×#41C22×D1712yes—
1666C22×Q8—171no—
1667C22×Q8—172no—
1668C22×Q8—172no—
1669C22×Q8C22×D1712yes—
1670C22×D4—172no—
1671C22×D4—171no—
1672C22×D4—172no—
1673C22×D4—172no—
1674C22×D4—174no—
1675C22×D4—172no—
1676C22×D4—172no—
1677C22×D4—174no—
1678C22×D4—172no—
1679C22×D4—174no—
1680C22×D4—172no—
1681C22×D4—174no—
1682C22×D4—174no—
1683C22×D4—172no—
1684C23×C4—172no—
1685C23×C4—171no—
1686C23×C4—174no—
1687C23×C4—174no—
1688C23×C4—174no—
1689C23×C4—171no—
1690C23×C4—171no—
1691C4⋊Q8—172no—
1692C4⋊Q8—172no—
1693C4⋊Q8—174no—
1694C4⋊Q8—172no—
1695C4⋊Q8—172no—
1696C4⋊Q8—174no—
1697C4⋊Q8—171no—
1698C4⋊Q8—171no—
1699C4⋊Q8—172no—
1700C4⋊Q8C22×D1711yescharacteristic
1701C4⋊Q8C22×D1711yescharacteristic
1702C4⋊Q8C22×D1711yescharacteristic
1703C4⋊Q8C22×D1712yes—
1704C4⋊Q8C22×D1712yes—
1705#127—172no—
1706#127—172no—
1707#127—172no—
1708#127—172no—
1709#127—174no—
1710#127—174no—
1711#127—171no—
1712#127—171no—
1713#127—172no—
1714#127—172no—
1715#127C22×D1711yescharacteristic
1716#127C22×D1712yes—
1717#126—172no—
1718#126—172no—
1719#126—172no—
1720#126—172no—
1721#126—172no—
1722#126—172no—
1723#126—172no—
1724#126—174no—
1725#126—174no—
1726#126—174no—
1727#126—174no—
1728#126—174no—
1729#126—174no—
1730#126—174no—
1731#126—172no—
1732#126—172no—
1733#126—172no—
1734#126—174no—
1735#126—174no—
1736#126—174no—
1737#126—174no—
1738#126—174no—
1739#126—172no—
1740#126—174no—
1741#126C22×D1712yes—
1742#126C22×D1714yes—
1743#125—172no—
1744#125—171no—
1745#125—171no—
1746#125—172no—
1747#125—171no—
1748#125—171no—
1749#125—172no—
1750#125—174no—
1751#125—174no—
1752#125—174no—
1753#125—174no—
1754#125—171no—
1755#125—174no—
1756#125—172no—
1757#125C22×D1711yescharacteristic
1758#125C22×D1712yes—
1759#125C22×D1714yes—
1760#125C22×D1712yes—
1761#124—171no—
1762#124—172no—
1763#124—171no—
1764#124—171no—
1765#124—172no—
1766#124—174no—
1767#124—172no—
1768#124—172no—
1769#124—174no—
1770#124—171no—
1771#124—172no—
1772#124—174no—
1773#124—172no—
1774#124—172no—
1775#124—174no—
1776#124—174no—
1777#124—174no—
1778#124—174no—
1779#124—174no—
1780#124—174no—
1781#124—174no—
1782#124—171no—
1783#124—172no—
1784#124—172no—
1785#124—172no—
1786#124—174no—
1787#124—172no—
1788#124—174no—
1789#124C22×D1711yescharacteristic
1790#124C22×D1712yes—
1791#124C22×D1712yes—
1792#124C22×D1714yes—
1793#124C22×D1712yes—
1794#124C22×D1714yes—
1795#123—172no—
1796#123—172no—
1797#123—174no—
1798#123—174no—
1799#123—174no—
1800#123—174no—
1801#123—174no—
1802#123—174no—
1803#123—172no—
1804#123—172no—
1805#123—172no—
1806#123—172no—
1807#123—172no—
1808#123—172no—
1809#123—174no—
1810#123—174no—
1811#123—174no—
1812#123—174no—
1813#123—174no—
1814#123—174no—
1815#123—174no—
1816#123—174no—
1817#123—174no—
1818#123—174no—
1819#123—174no—
1820#123—174no—
1821#123—174no—
1822#123—172no—
1823#123—172no—
1824#123—172no—
1825#123—172no—
1826#123—172no—
1827#123—174no—
1828#123—174no—
1829#123—174no—
1830#123—174no—
1831#123—174no—
1832#123—174no—
1833#123—174no—
1834#123—174no—
1835#123—174no—
1836#123—174no—
1837#123—174no—
1838#123C22×D1712yes—
1839#123C22×D1714yes—
1840#123C22×D1714yes—
1841#123C22×D1714yes—
1842#123C22×D1714yes—
1843#123C22×D1714yes—
1844#123C22×D1714yes—
1845C22⋊Q8—171no—
1846C22⋊Q8—172no—
1847C22⋊Q8—171no—
1848C22⋊Q8—171no—
1849C22⋊Q8—174no—
1850C22⋊Q8—174no—
1851C22⋊Q8—174no—
1852C22⋊Q8—174no—
1853C22⋊Q8—172no—
1854C22⋊Q8—172no—
1855C22⋊Q8—174no—
1856C22⋊Q8—171no—
1857C22⋊Q8—174no—
1858C22⋊Q8—172no—
1859C22⋊Q8—174no—
1860C22⋊Q8—172no—
1861C22⋊Q8—171no—
1862C22⋊Q8—172no—
1863C22⋊Q8—172no—
1864C22⋊Q8—174no—
1865C22⋊Q8—174no—
1866C22⋊Q8—174no—
1867C22⋊Q8—174no—
1868C22⋊Q8—174no—
1869C22⋊Q8—174no—
1870C22⋊Q8—174no—
1871C22⋊Q8—174no—
1872C22⋊Q8—174no—
1873C22⋊Q8—172no—
1874C22⋊Q8—174no—
1875C22⋊Q8—174no—
1876C22⋊Q8—172no—
1877C22⋊Q8—174no—
1878C22⋊Q8—172no—
1879C22⋊Q8—174no—
1880C22⋊Q8—174no—
1881C22⋊Q8C22×D1711yescharacteristic
1882C22⋊Q8C22×D1711yescharacteristic
1883C22⋊Q8C22×D1711yescharacteristic
1884C22⋊Q8C22×D1712yes—
1885C22⋊Q8C22×D1714yes—
1886C22⋊Q8C22×D1714yes—
1887C22⋊Q8C22×D1714yes—
1888C22⋊Q8C22×D1714yes—
1889C22⋊Q8C22×D1712yes—
1890C22⋊Q8C22×D1714yes—
1891#121—171no—
1892#121—172no—
1893#121—174no—
1894#121—172no—
1895#121—172no—
1896#121—174no—
1897#121—174no—
1898#121—174no—
1899#121—172no—
1900#121—174no—
1901#121—174no—
1902#121—172no—
1903#121—174no—
1904#121—172no—
1905#121—174no—
1906#121—172no—
1907#121—174no—
1908#121—174no—
1909#121—171no—
1910#121—172no—
1911#121—172no—
1912#121—171no—
1913#121—171no—
1914#121—172no—
1915#121—174no—
1916#121—174no—
1917#121—174no—
1918#121—174no—
1919#121—172no—
1920#121—174no—
1921#121—174no—
1922#121—171no—
1923#121—172no—
1924#121—172no—
1925#121—172no—
1926#121—172no—
1927#121—172no—
1928#121—171no—
1929#121—171no—
1930#121—174no—
1931#121—174no—
1932#121—174no—
1933#121—174no—
1934#121—172no—
1935#121—174no—
1936#121—172no—
1937#121—174no—
1938#121—174no—
1939#121—172no—
1940#121—172no—
1941#121—174no—
1942#121—172no—
1943#121—174no—
1944#121—174no—
1945#121—174no—
1946#121—174no—
1947#121—174no—
1948#121—174no—
1949#121—174no—
1950#121—174no—
1951#121—174no—
1952#121—174no—
1953#121—174no—
1954#121—174no—
1955#121—174no—
1956#121—174no—
1957#121—174no—
1958#121—174no—
1959#121—174no—
1960#121C22×D1711yescharacteristic
1961#121C22×D1712yes—
1962#121C22×D1712yes—
1963#121C22×D1714yes—
1964#121C22×D1714yes—
1965#121C22×D1712yes—
1966#121C22×D1714yes—
1967#120—174no—
1968#120—174no—
1969#120—174no—
1970#120—174no—
1971#120—174no—
1972#120—174no—
1973#120—174no—
1974#120—174no—
1975#120—174no—
1976#120—172no—
1977#120—172no—
1978#120—174no—
1979#120—174no—
1980#120—174no—
1981#120—174no—
1982#120—174no—
1983#120—174no—
1984#120—174no—
1985#120—174no—
1986#120—174no—
1987#120—174no—
1988#120—174no—
1989#120—174no—
1990#120—174no—
1991C4×Q8—171no—
1992C4×Q8—172no—
1993C4×Q8—171no—
1994C4×Q8—171no—
1995C4×Q8—172no—
1996C4×Q8—171no—
1997C4×Q8—172no—
1998C4×Q8—172no—
1999C4×Q8—172no—
2000C4×Q8—172no—
2001C4×Q8—171no—
2002C4×Q8—172no—
2003C4×Q8—172no—
2004C4×Q8—172no—
2005C4×Q8C22×D1711yescharacteristic
2006C4×Q8C22×D1711yescharacteristic
2007C4×Q8C22×D1711yescharacteristic
2008C4×Q8C22×D1712yes—
2009C4×Q8C22×D1712yes—
2010C4×Q8C22×D1712yes—
2011C4×D4—171no—
2012C4×D4—172no—
2013C4×D4—174no—
2014C4×D4—172no—
2015C4×D4—172no—
2016C4×D4—172no—
2017C4×D4—172no—
2018C4×D4—172no—
2019C4×D4—172no—
2020C4×D4—174no—
2021C4×D4—174no—
2022C4×D4—174no—
2023C4×D4—174no—
2024C4×D4—174no—
2025C4×D4—174no—
2026C4×D4—174no—
2027C4×D4—174no—
2028C4×D4—172no—
2029C4×D4—171no—
2030C4×D4—172no—
2031C4×D4—172no—
2032C4×D4—172no—
2033C4×D4—174no—
2034C4×D4—172no—
2035C4×D4—174no—
2036C4×D4—174no—
2037C4×D4—174no—
2038C4×D4—174no—
2039C4×D4—174no—
2040C4×D4—174no—
2041C4×D4—172no—
2042C4×D4—172no—
2043C4×D4—172no—
2044C4×D4—172no—
2045C4×D4—172no—
2046C4×D4—171no—
2047C4×D4—171no—
2048C4×D4—174no—
2049C4×D4—172no—
2050C4×D4—172no—
2051C4×D4—172no—
2052C4×D4—174no—
2053C4×D4—174no—
2054C4×D4—172no—
2055C4×D4—174no—
2056C4×D4—174no—
2057C4×D4—174no—
2058C4×D4—174no—
2059C4×D4—172no—
2060C4×D4—172no—
2061C4×D4—172no—
2062C4×D4—172no—
2063C4×D4—174no—
2064C4×D4—172no—
2065C4×D4—171no—
2066C4×D4—172no—
2067C4×D4—172no—
2068C4×D4—174no—
2069C4×D4—172no—
2070C4×D4—172no—
2071C4×D4—172no—
2072C4×D4—172no—
2073C4×D4—172no—
2074C4×D4—172no—
2075C4×D4—171no—
2076C4×D4—171no—
2077C4×D4—172no—
2078C4×D4—174no—
2079C4×D4—174no—
2080C4×D4—172no—
2081C4×D4—172no—
2082C4×D4C22×D1711yescharacteristic
2083C4×D4C22×D1712yes—
2084C4×D4C22×D1712yes—
2085C4×D4C22×D1712yes—
2086C4×D4C22×D1714yes—
2087C4×D4C22×D1712yes—
2088C4×D4C22×D1712yes—
2089C4×D4C22×D1712yes—
2090C4×D4C22×D1712yes—
2091#117—172no—
2092#117—172no—
2093#117—172no—
2094#117—171no—
2095#117—171no—
2096#117—172no—
2097#117—174no—
2098#117—172no—
2099#117—172no—
2100#117—172no—
2101#117—172no—
2102#117—172no—
2103#117—172no—
2104#117—174no—
2105#117—172no—
2106#117—172no—
2107#117—174no—
2108#117—174no—
2109#117—172no—
2110#117—172no—
2111#117—172no—
2112#117—172no—
2113#117C22×D1712yes—
2114#117C22×D1712yes—
2115C2×C4⋊C4—172no—
2116C2×C4⋊C4—172no—
2117C2×C4⋊C4—172no—
2118C2×C4⋊C4—172no—
2119C2×C4⋊C4—171no—
2120C2×C4⋊C4—172no—
2121C2×C4⋊C4—172no—
2122C2×C4⋊C4—172no—
2123C2×C4⋊C4—174no—
2124C2×C4⋊C4—171no—
2125C2×C4⋊C4—172no—
2126C2×C4⋊C4C22×D1714yes—
2127C2×C22⋊C4—174no—
2128C2×C22⋊C4—174no—
2129C2×C22⋊C4—172no—
2130C2×C22⋊C4—172no—
2131C2×C22⋊C4—174no—
2132C2×C22⋊C4—174no—
2133C2×C22⋊C4—172no—
2134C2×C22⋊C4—172no—
2135C2×C22⋊C4—172no—
2136C2×C22⋊C4—174no—
2137C2×C22⋊C4—174no—
2138C2×C22⋊C4—174no—
2139C2×C22⋊C4—174no—
2140C2×C42—174no—
2141C2×C42—171no—
2142C2×C42—171no—
2143C2×C42—171no—
2144C2×C42—171no—
2145C2×C42—172no—
2146C2×C42—171no—
2147C2×C42—171no—
2148C2×C42—171no—
2149C2×C42—172no—
2150C2×C42—172no—
2151C2×C42—174no—
2152C2×C42—171no—
2153C2×C42—171no—
2154C2×C42—171no—
2155C2×C42—171no—
2156C2×C42C22×D1711yescharacteristic
2157C17#6274811yescharacteristic, complemented, Sylow
2158C24—171no—
2159C24—174no—
2160C24—172no—
2161C24—174no—
2162C24—174no—
2163#41—44no—
2164#41—44no—
2165#41—348no—
2166#41—344no—
2167#41—348no—
2168#41—344no—
2169#41—684no—
2170#41—684no—
2171#41—684no—
2172#41—688no—
2173#41—688no—
2174#41—688no—
2175#41—688no—
2176#41—688no—
2177#41—684no—
2178#41—684no—
2179#41—688no—
2180#41—684no—
2181#41—684no—
2182#41—684no—
2183C2×Q8—44no—
2184C2×Q8—171no—
2185C2×Q8—172no—
2186C2×Q8—172no—
2187C2×Q8—172no—
2188C2×Q8—174no—
2189C2×Q8—174no—
2190C2×Q8—682no—
2191C2×Q8—684no—
2192C2×Q8—684no—
2193C2×Q8C23×D1711yescharacteristic
2194C2×Q8C23×D1711yescharacteristic
2195C2×Q8C23×D1712yes—
2196C2×Q8C23×D1711yescharacteristic
2197C2×Q8C23×D1712yes—
2198C2×Q8C23×D1714yes—
2199C2×D4—172no—
2200C2×D4—174no—
2201C2×D4—172no—
2202C2×D4—174no—
2203C2×D4—174no—
2204C2×D4—174no—
2205C2×D4—172no—
2206C2×D4—172no—
2207C2×D4—172no—
2208C2×D4—174no—
2209C2×D4—174no—
2210C2×D4—174no—
2211C2×D4—174no—
2212C2×D4—174no—
2213C2×D4—174no—
2214C2×D4—174no—
2215C2×D4—172no—
2216C2×D4—172no—
2217C2×D4—172no—
2218C2×D4—171no—
2219C2×D4—172no—
2220C2×D4—172no—
2221C2×D4—174no—
2222C2×D4—172no—
2223C2×D4—171no—
2224C2×D4—172no—
2225C2×D4—171no—
2226C2×D4—172no—
2227C2×D4—172no—
2228C2×D4—174no—
2229C2×D4—174no—
2230C2×D4—174no—
2231C2×D4—172no—
2232C2×D4—174no—
2233C2×D4—174no—
2234C2×D4—174no—
2235C2×D4—684no—
2236C2×D4—688no—
2237C2×D4—688no—
2238C2×D4—684no—
2239C2×D4—682no—
2240C2×D4—684no—
2241C2×D4—684no—
2242C2×D4—684no—
2243C2×D4—684no—
2244C2×D4—684no—
2245C2×D4—684no—
2246C2×D4—688no—
2247C2×D4—688no—
2248C2×D4—688no—
2249C2×D4C23×D1711yescharacteristic
2250C2×D4C23×D1712yes—
2251C2×D4C23×D1712yes—
2252C2×D4C23×D1714yes—
2253C2×D4C23×D1712yes—
2254C2×D4C23×D1712yes—
2255C2×D4C23×D1714yes—
2256C2×D4C23×D1714yes—
2257C22×C4—171no—
2258C22×C4—171no—
2259C22×C4—174no—
2260C22×C4—172no—
2261C22×C4—171no—
2262C22×C4—171no—
2263C22×C4—174no—
2264C22×C4—171no—
2265C22×C4—171no—
2266C22×C4—171no—
2267C22×C4—171no—
2268C22×C4—171no—
2269C22×C4—171no—
2270C22×C4—171no—
2271C22×C4—172no—
2272C22×C4—172no—
2273C22×C4—172no—
2274C22×C4—174no—
2275C22×C4—172no—
2276C22×C4—172no—
2277C22×C4—172no—
2278C22×C4—172no—
2279C22×C4—171no—
2280C22×C4—171no—
2281C22×C4—171no—
2282C22×C4—171no—
2283C22×C4—172no—
2284C22×C4—172no—
2285C22×C4—172no—
2286C22×C4—174no—
2287C22×C4—172no—
2288C22×C4—174no—
2289C22×C4—174no—
2290C22×C4—174no—
2291C22×C4—174no—
2292C22×C4—174no—
2293C22×C4—174no—
2294C22×C4—174no—
2295C22×C4—348no—
2296C22×C4—344no—
2297C22×C4—682no—
2298C22×C4—688no—
2299C22×C4—688no—
2300C22×C4—688no—
2301C22×C4—682no—
2302C22×C4C23×D1711yescharacteristic
2303C22×C4C23×D1711yescharacteristic
2304C22×C4C23×D1712yes—
2305C22×C4C23×D1711yescharacteristic
2306C22×C4C23×D1714yes—
2307C22×C4C23×D1714yes—
2308C22×C4C23×D1714yes—
2309C22×C4C23×D1714yes—
2310C4⋊C4—171no—
2311C4⋊C4—172no—
2312C4⋊C4—172no—
2313C4⋊C4—171no—
2314C4⋊C4—172no—
2315C4⋊C4—172no—
2316C4⋊C4—172no—
2317C4⋊C4—172no—
2318C4⋊C4—172no—
2319C4⋊C4—172no—
2320C4⋊C4—172no—
2321C4⋊C4—172no—
2322C4⋊C4—172no—
2323C4⋊C4—174no—
2324C4⋊C4—174no—
2325C4⋊C4—174no—
2326C4⋊C4—172no—
2327C4⋊C4—172no—
2328C4⋊C4—174no—
2329C4⋊C4—174no—
2330C4⋊C4—174no—
2331C4⋊C4—172no—
2332C4⋊C4—172no—
2333C4⋊C4—172no—
2334C4⋊C4—171no—
2335C4⋊C4—171no—
2336C4⋊C4—174no—
2337C4⋊C4—172no—
2338C4⋊C4—174no—
2339C4⋊C4—172no—
2340C4⋊C4—174no—
2341C4⋊C4—172no—
2342C4⋊C4—172no—
2343C4⋊C4—172no—
2344C4⋊C4—172no—
2345C4⋊C4—172no—
2346C4⋊C4—172no—
2347C4⋊C4—174no—
2348C4⋊C4—172no—
2349C4⋊C4C23×D1711yescharacteristic
2350C4⋊C4C23×D1712yes—
2351C4⋊C4C23×D1712yes—
2352C4⋊C4C23×D1712yes—
2353C4⋊C4C23×D1711yescharacteristic
2354C4⋊C4C23×D1712yes—
2355C4⋊C4C23×D1712yes—
2356C4⋊C4C23×D1712yes—
2357C4⋊C4C23×D1712yes—
2358C4⋊C4C23×D1712yes—
2359C4⋊C4C23×D1714yes—
2360C4⋊C4C23×D1714yes—
2361C4⋊C4C23×D1711yescharacteristic
2362C4⋊C4C23×D1711yescharacteristic
2363C4⋊C4C23×D1712yes—
2364C4⋊C4C23×D1714yes—
2365C4⋊C4C23×D1714yes—
2366C4⋊C4C23×D1712yes—
2367C4⋊C4C23×D1712yes—
2368C4⋊C4C23×D1712yes—
2369C4⋊C4C23×D1712yes—
2370C22⋊C4—172no—
2371C22⋊C4—174no—
2372C22⋊C4—172no—
2373C22⋊C4—172no—
2374C22⋊C4—174no—
2375C22⋊C4—172no—
2376C22⋊C4—174no—
2377C22⋊C4—174no—
2378C22⋊C4—172no—
2379C22⋊C4—174no—
2380C22⋊C4—172no—
2381C22⋊C4—172no—
2382C22⋊C4—172no—
2383C22⋊C4—172no—
2384C22⋊C4—172no—
2385C22⋊C4—172no—
2386C22⋊C4—172no—
2387C22⋊C4—172no—
2388C22⋊C4—174no—
2389C22⋊C4—172no—
2390C22⋊C4—172no—
2391C22⋊C4—172no—
2392C22⋊C4—172no—
2393C22⋊C4—172no—
2394C22⋊C4—174no—
2395C22⋊C4—174no—
2396C22⋊C4—172no—
2397C22⋊C4—174no—
2398C22⋊C4—174no—
2399C22⋊C4—174no—
2400C22⋊C4—174no—
2401C22⋊C4—174no—
2402C22⋊C4—174no—
2403C22⋊C4—174no—
2404C22⋊C4—174no—
2405C22⋊C4—172no—
2406C22⋊C4—172no—
2407C22⋊C4—172no—
2408C22⋊C4—174no—
2409C22⋊C4—172no—
2410C22⋊C4—174no—
2411C22⋊C4—172no—
2412C22⋊C4—172no—
2413C22⋊C4—174no—
2414C22⋊C4—172no—
2415C22⋊C4—172no—
2416C22⋊C4—174no—
2417C22⋊C4—172no—
2418C22⋊C4—172no—
2419C22⋊C4—172no—
2420C22⋊C4—172no—
2421C22⋊C4—174no—
2422C22⋊C4C23×D1712yes—
2423C22⋊C4C23×D1712yes—
2424C22⋊C4C23×D1712yes—
2425C22⋊C4C23×D1714yes—
2426C22⋊C4C23×D1712yes—
2427C22⋊C4C23×D1714yes—
2428C22⋊C4C23×D1714yes—
2429C22⋊C4C23×D1714yes—
2430C22⋊C4C23×D1714yes—
2431C22⋊C4C23×D1712yes—
2432C22⋊C4C23×D1714yes—
2433C22⋊C4C23×D1714yes—
2434C22⋊C4C23×D1712yes—
2435C22⋊C4C23×D1712yes—
2436C42—171no—
2437C42—172no—
2438C42—171no—
2439C42—172no—
2440C42—172no—
2441C42—171no—
2442C42—171no—
2443C42—172no—
2444C42—171no—
2445C42—171no—
2446C42—171no—
2447C42—171no—
2448C42—171no—
2449C42—171no—
2450C42—171no—
2451C42—171no—
2452C42—172no—
2453C42—172no—
2454C42—172no—
2455C42—174no—
2456C42—174no—
2457C42—174no—
2458C42C23×D1711yescharacteristic
2459C42C23×D1711yescharacteristic
2460C42C23×D1711yescharacteristic
2461C42C23×D1711yescharacteristic
2462C42C23×D1712yes—
2463C42C23×D1712yes—
2464C42C23×D1712yes—
2465C42C23×D1714yes—
2466C23—171no—
2467C23—171no—
2468C23—172no—
2469C23—172no—
2470C23—172no—
2471C23—174no—
2472C23—342no—
2473C23—342no—
2474C23—344no—
2475C23—348no—
2476C23—681no—
2477C23—684no—
2478C23—684no—
2479C23—684no—
2480C23—684no—
2481C23—682no—
2482C23—684no—
2483C23—684no—
2484C23—684no—
2485C23—682no—
2486C23—684no—
2487C23C24×D1712yes—
2488C23C24×D1714yes—
2489C23C24×D1711yescharacteristic
2490Q8—22no—
2491Q8—24no—
2492Q8—22no—
2493Q8—22no—
2494Q8—44no—
2495Q8—42no—
2496Q8—344no—
2497Q8—342no—
2498Q8—684no—
2499Q8—684no—
2500Q8—682no—
2501Q8—682no—
2502D4—24no—
2503D4—22no—
2504D4—24no—
2505D4—44no—
2506D4—44no—
2507D4—42no—
2508D4—42no—
2509D4—44no—
2510D4—344no—
2511D4—344no—
2512D4—348no—
2513D4—344no—
2514D4—344no—
2515D4—344no—
2516D4—344no—
2517D4—348no—
2518D4—342no—
2519D4—344no—
2520D4—342no—
2521D4—342no—
2522D4—344no—
2523D4—684no—
2524D4—684no—
2525D4—684no—
2526D4—684no—
2527D4—684no—
2528D4—682no—
2529D4—682no—
2530D4—682no—
2531D4—684no—
2532D4—684no—
2533D4—684no—
2534D4—684no—
2535D4—684no—
2536D4—684no—
2537D4—682no—
2538D4—684no—
2539D4—684no—
2540D4—684no—
2541D4—684no—
2542D4—682no—
2543D4—682no—
2544D4—682no—
2545D4—684no—
2546C2×C4—24no—
2547C2×C4—22no—
2548C2×C4—22no—
2549C2×C4—44no—
2550C2×C4—44no—
2551C2×C4—44no—
2552C2×C4—41no—
2553C2×C4—44no—
2554C2×C4—171no—
2555C2×C4—174no—
2556C2×C4—171no—
2557C2×C4—171no—
2558C2×C4—172no—
2559C2×C4—172no—
2560C2×C4—172no—
2561C2×C4—171no—
2562C2×C4—172no—
2563C2×C4—171no—
2564C2×C4—171no—
2565C2×C4—174no—
2566C2×C4—172no—
2567C2×C4—342no—
2568C2×C4—344no—
2569C2×C4—344no—
2570C2×C4—348no—
2571C2×C4—344no—
2572C2×C4—342no—
2573C2×C4—344no—
2574C2×C4—342no—
2575C2×C4—342no—
2576C2×C4—344no—
2577C2×C4—342no—
2578C2×C4—348no—
2579C2×C4—342no—
2580C2×C4—344no—
2581C2×C4—342no—
2582C2×C4—342no—
2583C2×C4—344no—
2584C2×C4—344no—
2585C2×C4—684no—
2586C2×C4—684no—
2587C2×C4—684no—
2588C2×C4—684no—
2589C2×C4—684no—
2590C2×C4—684no—
2591C2×C4—681no—
2592C2×C4—681no—
2593C2×C4—681no—
2594C2×C4—681no—
2595C2×C4—682no—
2596C2×C4—684no—
2597C2×C4—682no—
2598C2×C4—682no—
2599C2×C4—682no—
2600C2×C4—684no—
2601C2×C4—681no—
2602C2×C4—681no—
2603C2×C4—684no—
2604C2×C4C24×D1712yes—
2605C2×C4C24×D1712yes—
2606C2×C4C24×D1711yescharacteristic
2607C2×C4C24×D1711yescharacteristic
2608C2×C4C24×D1711yescharacteristic
2609C2×C4C24×D1711yescharacteristic
2610C2×C4C24×D1712yes—
2611C2×C4C24×D1712yes—
2612C2×C4C24×D1712yes—
2613C2×C4C24×D1714yes—
2614C2×C4C24×D1712yes—
2615C2×C4C24×D1712yes—
2616C2×C4C24×D1711yescharacteristic
2617C2×C4C24×D1711yescharacteristic
2618C22—22no—
2619C22—21no—
2620C22—24no—
2621C22—21no—
2622C22—24no—
2623C22—22no—
2624C22—21no—
2625C22—24no—
2626C22—22no—
2627C22—172no—
2628C22—172no—
2629C22—341no—
2630C22—341no—
2631C22—341no—
2632C22—341no—
2633C22—342no—
2634C22—342no—
2635C22—344no—
2636C22—342no—
2637C22—342no—
2638C22—342no—
2639C22—344no—
2640C22—342no—
2641C22—342no—
2642C22—342no—
2643C22—344no—
2644C22—342no—
2645C22—684no—
2646C22—1364no—
2647C22—1368no—
2648C22—1368no—
2649C22—1368no—
2650C22C25×D1711yescharacteristic
2651C4—21no—
2652C4—22no—
2653C4—22no—
2654C4—24no—
2655C4—22no—
2656C4—22no—
2657C4—22no—
2658C4—21no—
2659C4—21no—
2660C4—22no—
2661C4—21no—
2662C4—22no—
2663C4—172no—
2664C4—342no—
2665C4—341no—
2666C4—344no—
2667C4—341no—
2668C4—341no—
2669C4—342no—
2670C4—341no—
2671C4—342no—
2672C4—342no—
2673C4—341no—
2674C4—342no—
2675C4H(5,𝔽2)×D1712yes—
2676C4#1176364612yes—
2677C2—41no—
2678C2—42no—
2679C2—44no—
2680C2—342no—
2681C2—342no—
2682C2—682no—
2683C2—682no—
2684C2—682no—
2685C2—684no—
2686C2C2×H(5,𝔽2)×D1711yescharacteristic
2687C2D17×#58511yescharacteristic
2688C2C2×#1176364611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3554C2
hypercenter#3554D17
hypocenterC17#62748
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3554

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #14543377C2semidirect
2. #14543373C2semidirect
3. #14543345C2semidirect
4. #14543337C2semidirect
5. #14543319C2semidirect
6. #14543304C2semidirect
7. #14543299C2semidirect
8. #14543255C2semidirect
9. #14543230C2semidirect
10. #14543226C2semidirect
11. #14543158C2semidirect
12. #14543150C2semidirect
13. #14543118C2semidirect
14. #14543108C2semidirect
15. #14543022C2semidirect
16. #14543009C2semidirect
17. #14542976C2semidirect
18. #14542921C2semidirect
19. #14542395C2semidirect
20. #14542393C2semidirect
21. #14542384C2semidirect
22. #14542380C2semidirect
23. D4×#63256C2semidirect
24. #14542274C2semidirect
25. #14542273C2semidirect
26. #14542271C2semidirect
27. #14542204C2semidirect
28. #14542199C2semidirect
29. #14542192C2semidirect
30. #14542171C2semidirect
31. #14542116C2semidirect
32. #14542081C2semidirect
33. D17×#532C2semidirect
34. D17×#529C2semidirect
35. C17×#3554C2semidirect
36. C22×#63256C22semidirect
37. C2×#41×D17C22semidirect
38. C2×#41×D17C22semidirect
39. #11763563C22semidirect
40. #11763560C22semidirect
41. #11763560C22semidirect
42. #11763556C22semidirect
43. #11763556C22semidirect
44. #11763555C22semidirect
45. #11763555C22semidirect
46. #11763553C22semidirect
47. #11763551C22semidirect
48. #11763549C22semidirect
49. #11763549C22semidirect
50. #11763547C22semidirect
51. #11763547C22semidirect
52. #11763547C22semidirect
53. #11763547C22semidirect
54. #11763544C22semidirect
55. #11763544C22semidirect
56. #11763544C22semidirect
57. #11763542C22semidirect
58. #11763537C22semidirect
59. #11763533C22semidirect
60. #11763533C22semidirect
61. #11763532C22semidirect
62. #11763528C22semidirect
63. #11763520C22semidirect
64. #11763519C22semidirect
65. #11763519C22semidirect
66. #11763512C22semidirect
67. #11763512C22semidirect
68. #11763512C22semidirect
69. #11763512C22semidirect
70. #11763509C22semidirect
71. #11763509C22semidirect
72. #11763509C22semidirect
73. #11763509C22semidirect
74. #11763507C22semidirect
75. #11763504C22semidirect
76. #11763487C22semidirect
77. #11763487C22semidirect
78. #11763486C22semidirect
79. #11763486C22semidirect
80. #11763481C22semidirect
81. #11763481C22semidirect
82. #11763480C22semidirect
83. #11763479C22semidirect
84. #11763478C22semidirect
85. Q8×D68C22semidirect
86. #11763474C22semidirect
87. Q8×C22⋊D17C22semidirect
88. #11763471C22semidirect
89. #11763471C22semidirect
90. #11763470C22semidirect
91. #11763469C22semidirect
92. #11763469C22semidirect
93. #11763467C22semidirect
94. #11763466C22semidirect
95. #11763464C22semidirect
96. #11763464C22semidirect
97. #11763462C22semidirect
98. #11763462C22semidirect
99. #11763461C22semidirect
100. #11763461C22semidirect
101. #11763460C22semidirect
102. #11763456C22semidirect
103. #11763456C22semidirect
104. #11763455C22semidirect
105. #11763455C22semidirect
106. #11763454C22semidirect
107. #11763454C22semidirect
108. #11763452C22semidirect
109. #11763452C22semidirect
110. #11763452C22semidirect
111. #11763452C22semidirect
112. #11763452C22semidirect
113. #11763451C22semidirect
114. #11763451C22semidirect
115. #11763450C22semidirect
116. #11763450C22semidirect
117. #11763450C22semidirect
118. #11763447C22semidirect
119. #11763447C22semidirect
120. D4×D68C22semidirect
121. D4×D68C22semidirect
122. D4×D68C22semidirect
123. D4×D68C22semidirect
124. #11763444C22semidirect
125. #11763444C22semidirect
126. #11763444C22semidirect
127. #11763443C22semidirect
128. #11763443C22semidirect
129. #11763443C22semidirect
130. #11763439C22semidirect
131. #11763436C22semidirect
132. #11763434C22semidirect
133. #11763433C22semidirect
134. #11763431C22semidirect
135. #11763430C22semidirect
136. #11763430C22semidirect
137. #11763429C22semidirect
138. #11763428C22semidirect
139. #11763427C22semidirect
140. #11763424C22semidirect
141. #11763419C22semidirect
142. #11763417C22semidirect
143. #11763414C22semidirect
144. #11763412C22semidirect
145. #11763411C22semidirect
146. #11763410C22semidirect
147. #11763410C22semidirect
148. #11763410C22semidirect
149. #11763409C22semidirect
150. #11763407C22semidirect
151. #11763407C22semidirect
152. #11763406C22semidirect
153. #11763405C22semidirect
154. #11763405C22semidirect
155. #11763405C22semidirect
156. #11763400C22semidirect
157. #11763398C22semidirect
158. #11763398C22semidirect
159. #11763398C22semidirect
160. #11763395C22semidirect
161. #11763395C22semidirect
162. #11763395C22semidirect
163. #11763395C22semidirect
164. #11763393C22semidirect
165. #11763393C22semidirect
166. #11763392C22semidirect
167. #11763392C22semidirect
168. #11763391C22semidirect
169. #11763389C22semidirect
170. #11763389C22semidirect
171. #11763389C22semidirect
172. #11763388C22semidirect
173. #11763384C22semidirect
174. #11763384C22semidirect
175. #11763383C22semidirect
176. #11763378C22semidirect
177. #11763377C22semidirect
178. #11763377C22semidirect
179. #11763377C22semidirect
180. #11763375C22semidirect
181. #11763375C22semidirect
182. #11763373C22semidirect
183. #11763372C22semidirect
184. #11763370C22semidirect
185. #11763370C22semidirect
186. #11763370C22semidirect
187. #11763370C22semidirect
188. #11763367C22semidirect
189. #11763364C22semidirect
190. #11763364C22semidirect
191. #11763360C22semidirect
192. #11763360C22semidirect
193. #11763360C22semidirect
194. #11763360C22semidirect
195. #11763360C22semidirect
196. #11763359C22semidirect
197. #11763359C22semidirect
198. #11763358C22semidirect
199. #11763358C22semidirect
200. #11763358C22semidirect
201. #11763357C22semidirect
202. #11763357C22semidirect
203. #11763356C22semidirect
204. #11763356C22semidirect
205. #11763355C22semidirect
206. #11763354C22semidirect
207. #11763354C22semidirect
208. #11763354C22semidirect
209. C4⋊Q8×D17C22semidirect
210. #127×D17C22semidirect
211. #11763346C22semidirect
212. #11763346C22semidirect
213. #11763346C22semidirect
214. #11763346C22semidirect
215. #11763345C22semidirect
216. #11763345C22semidirect
217. #11763345C22semidirect
218. #11763345C22semidirect
219. #11763345C22semidirect
220. #11763344C22semidirect
221. #11763344C22semidirect
222. #11763344C22semidirect
223. #11763344C22semidirect
224. #11763344C22semidirect
225. #11763343C22semidirect
226. #11763342C22semidirect
227. #11763342C22semidirect
228. #11763341C22semidirect
229. #11763340C22semidirect
230. #11763339C22semidirect
231. #11763338C22semidirect
232. #11763338C22semidirect
233. #11763338C22semidirect
234. #11763337C22semidirect
235. #11763336C22semidirect
236. #11763336C22semidirect
237. #11763336C22semidirect
238. #126×D17C22semidirect
239. #125×D17C22semidirect
240. #124×D17C22semidirect
241. #124×D17C22semidirect
242. #11763322C22semidirect
243. #11763322C22semidirect
244. #11763322C22semidirect
245. #11763322C22semidirect
246. #11763322C22semidirect
247. #11763322C22semidirect
248. #11763322C22semidirect
249. #11763322C22semidirect
250. #11763321C22semidirect
251. #11763319C22semidirect
252. #11763319C22semidirect
253. #11763319C22semidirect
254. #11763317C22semidirect
255. #11763317C22semidirect
256. #11763317C22semidirect
257. #11763317C22semidirect
258. #123×D17C22semidirect
259. C22⋊Q8×D17C22semidirect
261. #121×D17C22semidirect
262. #121×D17C22semidirect
263. C4×#63256C22semidirect
264. C4×#63256C22semidirect
265. C4×#63256C22semidirect
266. C4×#63256C22semidirect
267. C4×#63256C22semidirect
268. #11763277C22semidirect
269. C4×#63254C22semidirect
270. C4×#63254C22semidirect
271. C4×Q8×D17C22semidirect
272. C2×#10587579C22semidirect
273. C4×D4×D17C22semidirect
274. C4×D4×D17C22semidirect
275. C4×D4×D17C22semidirect
276. C4×D4×D17C22semidirect
277. C4×D4×D17C22semidirect
278. C4×D4×D17C22semidirect
279. C4×D4×D17C22semidirect
280. #117×D17C22semidirect
281. C2×C42×D17C22semidirect
282. C17×#562C22semidirect
283. C17×#559C22semidirect
284. C17×#559C22semidirect
285. C17×#557C22semidirect
286. C17×#554C22semidirect
287. C17×#550C22semidirect
288. D4×Q8×C17C22semidirect
289. C17×#548C22semidirect
290. C17×#547C22semidirect
291. C17×#542C22semidirect
292. C17×#542C22semidirect
293. C17×#540C22semidirect
294. C17×#539C22semidirect
295. C17×#536C22semidirect
296. C17×#533C22semidirect
297. C17×#532C22semidirect
298. C17×#529C22semidirect
1282. #3554D17semidirect
1379. #562C2×D17semidirect
1391. #559C2×D17semidirect
1392. #559C2×D17semidirect
1394. #557C2×D17semidirect
1402. #554C2×D17semidirect
1422. #550C2×D17semidirect
1426. D4×Q8C2×D17semidirect
1434. #548C2×D17semidirect
1442. #547C2×D17semidirect
1482. #542C2×D17semidirect
1483. #542C2×D17semidirect
1493. #540C2×D17semidirect
1501. #539C2×D17semidirect
1521. #536C2×D17semidirect
1537. #533C2×D17semidirect
1556. #532C2×D17semidirect
1586. #529C2×D17semidirect
2157. C17#62748semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#145433772
#145433732
#145433452
#145433372
#145433192
#145433042
#145432992
#145432552
#145432302
#145432262
#145431582
#145431502
#145431182
#145431082
#145430222
#145430092
#145429762
#145429212
#145423952
#145423932
#145423842
#145423802
D4×#632562
#145422742
#145422732
#145422712
#145422042
#145421992
#145421922
#145421712
#145421162
#145420812
D17×#5322
D17×#5292
C17×#35542
#6274817