Finite Group Databasebeta

← #17941643

Subgroups — #17941643

Order 4352.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543106C212yesmaximal, complemented
2#14543096C212yesmaximal, complemented
3#14543083C212yesmaximal, complemented
4#14543073C212yesmaximal, complemented
5#14543056C212yesmaximal, complemented
6#14543046C211yesmaximal, characteristic, complemented
7#14543043C211yesmaximal, characteristic, complemented
8#14543032C211yesmaximal, characteristic, complemented
9#14543022C211yesmaximal, characteristic, complemented
10#14543009C212yesmaximal, complemented
11#14542991C214yesmaximal, complemented
12#14542972C214yesmaximal, complemented
13#14542952C214yesmaximal, complemented
14#14542935C214yesmaximal, complemented
15#14542923C214yesmaximal, complemented
16#14542390C214yesmaximal, complemented
17#14542351C212yesmaximal, complemented
18#14542348C212yesmaximal, complemented
19#41×D68C212yesmaximal, complemented
20#14542270C212yesmaximal, complemented
21#14542205C214yesmaximal, complemented
22#14542194C214yesmaximal, complemented
23#14542174C211yesmaximal, characteristic, complemented
24#14542114C212yesmaximal, complemented
25C2×#11763321C211yesmaximal, characteristic, complemented
26D17×#525C212yesmaximal, complemented
27C17×#3455C211yesmaximal, characteristic, complemented
28C22×#63252C2211yescharacteristic, complemented
29C2×#41×D17C2212yescomplemented
30C2×#41×D17C2212yescomplemented
31C23×C4×D17C2211yescharacteristic, complemented
32#11763563C2214yescomplemented
33#11763561C2214yescomplemented
34#11763561C2214yescomplemented
35#11763557C2214yescomplemented
36#11763556C2214yescomplemented
37#11763556C2214yescomplemented
38#11763555C2214yescomplemented
39#11763555C2214yescomplemented
40#11763553C2214yescomplemented
41#11763551C2214yescomplemented
42#11763550C2214yescomplemented
43#11763550C2214yescomplemented
44#11763549C2214yescomplemented
45#11763549C2214yescomplemented
46#11763547C2214yescomplemented
47#11763547C2214yescomplemented
48#11763541C2214yescomplemented
49#11763533C2212yescomplemented
50#11763532C2212yescomplemented
51#11763525C2212yescomplemented
52#11763524C2212yescomplemented
53#11763520C2212yescomplemented
54#11763519C2212yescomplemented
55#11763517C2214yescomplemented
56#11763515C2214yescomplemented
57#11763512C2212yescomplemented
58#11763512C2214yescomplemented
59#11763512C2212yescomplemented
60#11763511C2214yescomplemented
61#11763510C2214yescomplemented
62#11763510C2214yescomplemented
63#11763509C2212yescomplemented
64#11763509C2212yescomplemented
65#11763501C2214yescomplemented
66#11763500C2212yescomplemented
67#11763500C2212yescomplemented
68#11763499C2214yescomplemented
69#11763497C2212yescomplemented
70#11763497C2212yescomplemented
71#11763488C2214yescomplemented
72#11763488C2214yescomplemented
73#11763486C2214yescomplemented
74#11763486C2214yescomplemented
75#11763484C2214yescomplemented
76#11763484C2214yescomplemented
77#11763482C2214yescomplemented
78#11763482C2214yescomplemented
79#11763481C2212yescomplemented
80#11763479C2212yescomplemented
81Q8×D68C2212yescomplemented
82#11763474C2212yescomplemented
83#11763471C2212yescomplemented
84#11763471C2212yescomplemented
85#11763467C2212yescomplemented
86#11763467C2212yescomplemented
87#11763464C2212yescomplemented
88#11763463C2214yescomplemented
89#11763463C2212yescomplemented
90#11763462C2212yescomplemented
91#11763462C2212yescomplemented
92#11763459C2214yescomplemented
93#11763455C2214yescomplemented
94#11763454C2214yescomplemented
95#11763454C2214yescomplemented
96#11763454C2212yescomplemented
97#11763454C2212yescomplemented
98#11763452C2214yescomplemented
99#11763452C2212yescomplemented
100#11763452C2212yescomplemented
101#11763451C2214yescomplemented
102#11763451C2214yescomplemented
103#11763450C2214yescomplemented
104#11763450C2214yescomplemented
105#11763448C2214yescomplemented
106#11763448C2214yescomplemented
107D4×D68C2214yescomplemented
108D4×D68C2212yescomplemented
109#11763444C2212yescomplemented
110#11763443C2214yescomplemented
111#11763443C2214yescomplemented
112#11763439C2214yescomplemented
113#11763434C2214yescomplemented
114#11763432C2214yescomplemented
115#11763430C2212yescomplemented
116#11763430C2212yescomplemented
117#11763428C2214yescomplemented
118#11763425C2214yescomplemented
119#11763425C2214yescomplemented
120#11763421C2211yescharacteristic, complemented
121#11763421C2211yescharacteristic, complemented
122#11763415C2214yescomplemented
123#11763414C2211yescharacteristic, complemented
124#11763414C2211yescharacteristic, complemented
125#11763412C2214yescomplemented
126#11763411C2214yescomplemented
127#11763411C2214yescomplemented
128#11763407C2214yescomplemented
129#11763407C2214yescomplemented
130#11763406C2214yescomplemented
131#11763403C2214yescomplemented
132#11763403C2214yescomplemented
133#11763400C2214yescomplemented
134#11763400C2214yescomplemented
135#11763399C2214yescomplemented
136#11763398C2214yescomplemented
137#11763398C2214yescomplemented
138#11763398C2214yescomplemented
139#11763398C2214yescomplemented
140#11763397C2214yescomplemented
141#11763396C2214yescomplemented
142#11763395C2214yescomplemented
143#11763395C2214yescomplemented
144#11763393C2214yescomplemented
145#11763393C2214yescomplemented
146#11763389C2212yescomplemented
147#11763389C2212yescomplemented
148#11763389C2214yescomplemented
149#11763388C2212yescomplemented
150#11763388C2212yescomplemented
151#11763382C2212yescomplemented
152#11763382C2212yescomplemented
153#11763381C2214yescomplemented
154#11763377C2214yescomplemented
155#11763375C2214yescomplemented
156#11763375C2212yescomplemented
157#11763375C2212yescomplemented
158#11763374C2214yescomplemented
159#11763370C2214yescomplemented
160#11763370C2214yescomplemented
161#11763370C2214yescomplemented
162#11763369C2214yescomplemented
163#11763367C2214yescomplemented
164#11763366C2211yescharacteristic, complemented
165#11763359C2211yescharacteristic, complemented
166#11763359C2214yescomplemented
167#11763356C2214yescomplemented
168#11763356C2214yescomplemented
169#11763356C2214yescomplemented
170#11763346C2214yescomplemented
171#11763346C2214yescomplemented
172#11763346C2214yescomplemented
173#11763343C2214yescomplemented
174#11763337C2214yescomplemented
175#11763337C2214yescomplemented
176#11763337C2214yescomplemented
177#11763337C2214yescomplemented
178#11763322C2212yescomplemented
179#11763322C2212yescomplemented
180#11763321C2211yescharacteristic
181#11763321C2212yescomplemented
182#11763321C2212yescomplemented
183#11763321C2212yescomplemented
184#11763321C2212yescomplemented
185#11763321C2212yescomplemented
186#11763321C2212yescomplemented
187#11763321C2211yescharacteristic, complemented
188#11763321C2211yescharacteristic, complemented
189#11763321C2211yescharacteristic, complemented
190#11763321C2212yescomplemented
191#11763321C2212yescomplemented
192#11763321C2214yescomplemented
193#11763321C2214yescomplemented
194#11763320C2212yescomplemented
195#11763319C2212yescomplemented
196#11763319C2212yescomplemented
197#11763318C2214yescomplemented
198#11763318C2214yescomplemented
199#11763318C2214yescomplemented
200#11763318C2214yescomplemented
201#11763318C2214yescomplemented
202#11763318C2214yescomplemented
203#11763317C2214yescomplemented
204#11763316C2212yescomplemented
205#11763316C2212yescomplemented
206#11763315C2214yescomplemented
207C2×#10587572C2212yescomplemented
208#123×D17C2214yescomplemented
209C2×#10587583C2212yescomplemented
210C22⋊Q8×D17C2212yescomplemented
211C22⋊Q8×D17C2212yescomplemented
212C2×#10587581C2212yescomplemented
213#121×D17C2212yescomplemented
214#121×D17C2212yescomplemented
215C2×#10587568C2212yescomplemented
216#120×D17C2214yescomplemented
217C4×#63256C2214yescomplemented
218C4×#63252C2214yescomplemented
219C4×#63252C2212yescomplemented
220C2×C4×D68C2212yescomplemented
221C2×C4×D68C2212yescomplemented
222C2×C4×D68C2214yescomplemented
223C4×D4×D17C2214yescomplemented
224C4×D4×D17C2214yescomplemented
225C4×D4×D17C2214yescomplemented
226#117×D17C2212yescomplemented
227#117×D17C2212yescomplemented
228C17×#542C2212yescomplemented
229C17×#542C2212yescomplemented
230C17×#541C2211yescharacteristic, complemented
231C17×#541C2211yescharacteristic, complemented
232C17×#540C2211yescharacteristic, complemented
233C17×#540C2211yescharacteristic, complemented
234C17×#539C2214yescomplemented
235C17×#538C2214yescomplemented
236C17×#533C2211yescharacteristic, complemented
237C17×#532C2211yescharacteristic, complemented
238C17×#529C2214yescomplemented
239C17×#529C2214yescomplemented
240C17×#525C2212yescomplemented
241C4×#41×C17C2212yescomplemented
242C2×C17×#117C2211yescharacteristic, complemented
243C24×D17C2311yescharacteristic
244C2×#41×C17C2312yes—
245C23×C4×C17C2311yescharacteristic
246C22×C22⋊D17C2312yes—
247C23×Dic17C2311yescharacteristic
248#41×D17—48no—
249#41×D17—48no—
250C2×#63256C2312yes—
251C2×#63256C2314yes—
252C2×#63256C2312yescomplemented
253C2×Q8×D17C2312yes—
254C2×Q8×D17C2312yescomplemented
255C2×#63254C2314yes—
256C2×#63254C2314yes—
257C2×#63254C2312yes—
258C2×#63254C2312yescomplemented
259C2×D4×D17C2314yes—
260C2×D4×D17C2314yes—
261C2×D4×D17C2314yes—
262C2×D4×D17C2314yes—
263C2×D4×D17C2312yes—
264C2×D4×D17C2314yes—
265C2×D4×D17C2312yescomplemented
266C2×#63252—44no—
267C2×#63252C2312yes—
268C2×#63252C2314yes—
269C2×#63252C2311yescharacteristic
270C2×#63252C2314yes—
271C2×#63252C2312yes—
272C2×#63252C2311yescharacteristic
273C2×#63252C2311yescharacteristic
274C2×#63252C2312yes—
275C2×#63252C2311yescharacteristic
276C2×#63252C2314yescomplemented
277C22×D68C2312yes—
278C22×D68C2312yes—
279C22×D68C2314yes—
280C22×D68C2311yescharacteristic
281C22×C4×D17—44no—
282C22×C4×D17C2312yes—
283C22×C4×D17C2312yes—
284C22×C4×D17C2311yescharacteristic
285C22×C4×D17C2314yes—
286C22×C4×D17C2312yes—
287C22×C4×D17C2311yescharacteristic
288C22×C4×D17C2312yes—
289C22×C4×D17C2312yes—
290C22×C4×D17C2311yescharacteristic
291C22×C4×D17C2311yescharacteristic
292C22×C4×D17C2314yescomplemented
293C22×Dic34C2311yescharacteristic
294C17×C4⋊Q8C2311yescharacteristic, complemented
295C17×C4⋊Q8C2312yescomplemented
296C17×#127C2311yescharacteristic, complemented
297C17×#126C2314yes—
298C17×#126C2314yes—
299C17×#126C2314yescomplemented
300C17×#126C2314yescomplemented
301C17×#125C2314yescomplemented
302C17×#125C2314yescomplemented
303C17×#125C2311yescharacteristic, complemented
304C17×#125C2311yescharacteristic, complemented
305C17×#124C2314yes—
306C17×#124C2314yes—
307C17×#124C2312yescomplemented
308C17×#123C2314yes—
309C17×#123C2314yes—
310C17×#123C2314yes—
311C17×#123C2314yescomplemented
312C17×#123C2314yescomplemented
313C17×C22⋊Q8C2314yes—
314C17×C22⋊Q8C2312yes—
315C17×C22⋊Q8C2312yes—
316C17×C22⋊Q8C2314yescomplemented
317C17×C22⋊Q8C2314yescomplemented
318C17×#121C2314yes—
319C17×#121C2312yes—
320C17×#121C2312yes—
321C17×#121C2314yes—
322C17×#121C2314yes—
323C17×#120C2314yes—
324C4×Q8×C17C2312yescomplemented
325C4×Q8×C17C2312yescomplemented
326C4×Q8×C17C2314yescomplemented
327C4×D4×C17C2314yes—
328C4×D4×C17C2314yes—
329C4×D4×C17C2314yes—
330C4×D4×C17C2314yes—
331C4×D4×C17C2312yescomplemented
332C4×D4×C17C2312yescomplemented
333C4×D4×C17C2314yescomplemented
334C17×#117C2312yes—
335C17×#117C2312yes—
336C17×#117C2311yescharacteristic
337C17×#117C2311yescharacteristic
338C17×#117C2311yescharacteristic
339C17×#117C2311yescharacteristic
340C17×#117C2312yes—
341C17×#117C2314yescomplemented
342C2×C4⋊C4×C17C2312yes—
343C2×C22⋊C4×C17C2312yes—
344C2×C42×C17C2311yescharacteristic
345C2×C42×C17C2311yescharacteristic
346C2×C42×C17C2314yescomplemented
347#10587639C2314yes—
348#10587633C2314yes—
349#10587633C2314yes—
350#10587633C2314yescomplemented
351#10587632C2312yes—
352#10587632C2312yes—
353#10587632C2314yes—
354#10587632C2312yescomplemented
355#10587632C2314yescomplemented
356#10587632C2312yescomplemented
357#10587632C2314yescomplemented
358Q8×Dic17C2314yescomplemented
359#10587626C2314yes—
360#10587626C2314yes—
361#10587626C2314yes—
362#10587625C2314yes—
363#10587625C2314yes—
364#10587625C2314yes—
365#10587625C2314yes—
366#10587625C2314yes—
367#10587625C2314yescomplemented
368#10587624C2312yes—
369#10587624C2312yes—
370#10587624C2314yes—
371#10587624C2314yes—
372#10587624C2314yescomplemented
373#10587624C2312yescomplemented
374#10587624C2312yescomplemented
375#10587623C2314yes—
376#10587623C2314yes—
377#10587623C2314yes—
378#10587623C2314yes—
379#10587623C2314yes—
380#10587623C2314yes—
381#10587623C2314yes—
382#10587623C2314yescomplemented
383#10587621C2314yes—
384#10587621C2314yes—
385D4×Dic17C2314yes—
386D4×Dic17C2314yes—
387D4×Dic17C2314yescomplemented
388#10587616C2314yes—
389#10587616C2314yes—
390#10587616C2314yes—
391#10587616C2314yes—
392#10587616C2312yes—
393#10587616C2312yes—
394#10587616C2314yescomplemented
395#10587616C2314yescomplemented
396#10587615C2314yes—
397#10587615C2314yes—
398#10587615C2314yescomplemented
399C4×C22⋊D17C2314yes—
400C4×C22⋊D17C2314yes—
401C4×C22⋊D17C2314yes—
402C4×C22⋊D17C2314yes—
403C4×C22⋊D17C2314yes—
404C4×C22⋊D17C2314yes—
405C4×C22⋊D17C2314yes—
406C4×C22⋊D17C2314yescomplemented
407C4×C22⋊D17C2314yescomplemented
408C4×C22⋊D17C2314yescomplemented
409C2×#63227C2314yes—
410C2×#63227C2312yes—
411C2×#63227C2312yes—
412C2×#63227C2312yes—
413C2×#63227C2312yes—
414C2×#63227C2314yescomplemented
415#10587612C2312yes—
416#10587612C2314yescomplemented
417C2×C4⋊Dic17C2312yes—
418C2×C4⋊Dic17C2312yes—
419C2×C4⋊Dic17C2314yescomplemented
420#10587610C2314yes—
421#10587610C2312yes—
422#10587610C2312yes—
423#10587610C2314yescomplemented
424#10587584C2314yes—
425#10587584C2314yes—
426#10587584C2314yes—
427#10587584C2314yescomplemented
428#10587584C2314yescomplemented
429#10587584C2314yescomplemented
430#10587584C2314yescomplemented
431#10587584C2314yescomplemented
432#10587584C2314yescomplemented
433#10587584C2314yescomplemented
434#10587583C2312yes—
435#10587583C2314yes—
436#10587583C2312yes—
437#10587583C2312yes—
438#10587583C2312yes—
439#10587583C2312yes—
440#10587583C2312yes—
441#10587583C2312yes—
442#10587583C2312yes—
443#10587583C2312yes—
444#10587583C2312yes—
445#10587583C2314yescomplemented
446#10587583C2312yescomplemented
447#10587583C2314yescomplemented
448#10587583C2312yescomplemented
449#10587583C2314yescomplemented
450#10587582C2314yes—
451#10587582C2314yes—
452#10587582C2314yes—
453#10587582C2314yes—
454#10587582C2314yescomplemented
455#10587582C2314yescomplemented
456#10587582C2314yescomplemented
457#10587582C2314yescomplemented
458#10587582C2314yescomplemented
459#10587582C2314yescomplemented
460#10587581C2312yes—
461#10587581C2314yes—
462#10587581C2314yes—
463#10587581C2314yes—
464#10587581C2312yes—
465#10587581C2314yes—
466#10587581C2312yes—
467#10587581C2312yes—
468#10587581C2314yes—
469#10587581C2314yes—
470#10587581C2314yes—
471#10587581C2312yes—
472#10587581C2312yes—
473#10587581C2312yes—
474#10587581C2312yes—
475#10587581C2312yes—
476#10587581C2312yes—
477#10587581C2312yescomplemented
478#10587581C2312yescomplemented
479#10587581C2314yescomplemented
480#10587581C2314yescomplemented
481#10587581C2314yescomplemented
482#10587580C2314yes—
483#10587580C2314yes—
484#10587580C2314yes—
485#10587580C2314yes—
486#10587580C2314yes—
487#10587580C2314yes—
488#10587580C2314yes—
489#10587580C2314yes—
490#10587580C2314yes—
491#10587580C2314yescomplemented
492#10587580C2314yescomplemented
493#10587580C2314yescomplemented
494#10587580C2314yescomplemented
495#10587580C2314yescomplemented
496#10587580C2314yescomplemented
497#10587580C2314yescomplemented
498#10587579C2314yes—
499#10587579C2314yes—
500#10587579C2314yes—
501#10587579C2314yes—
502#10587579C2314yes—
503#10587579C2314yescomplemented
504#10587578C2314yes—
505#10587578C2312yes—
506#10587578C2312yes—
507#10587578C2314yescomplemented
508#10587578C2314yescomplemented
509#10587578C2312yescomplemented
510#10587578C2312yescomplemented
511C4⋊C4×D17C2312yes—
512C4⋊C4×D17C2312yes—
513C4⋊C4×D17C2314yes—
514C4⋊C4×D17C2314yes—
515C4⋊C4×D17C2314yescomplemented
516C4⋊C4×D17C2312yescomplemented
517C4⋊C4×D17C2312yescomplemented
518#10587576C2314yescomplemented
519#10587576C2314yescomplemented
520#10587576C2314yescomplemented
521#10587575C2314yescomplemented
522#10587575C2314yescomplemented
523#10587575C2314yescomplemented
524#10587575C2314yescomplemented
525#10587574C2314yescomplemented
526#10587574C2314yescomplemented
527#10587574C2314yescomplemented
528#10587572C2314yes—
529#10587572C2314yes—
530#10587572C2314yes—
531#10587572C2312yes—
532#10587572C2312yes—
533#10587572C2312yes—
534#10587572C2312yes—
535#10587572C2312yes—
536#10587572C2312yes—
537#10587572C2312yes—
538#10587572C2312yes—
539#10587572C2314yescomplemented
540#10587572C2314yescomplemented
541#10587572C2314yescomplemented
542#10587571C2314yes—
543#10587571C2314yes—
544#10587571C2314yes—
545#10587571C2314yes—
546#10587571C2314yes—
547#10587571C2314yes—
548#10587571C2314yescomplemented
549#10587571C2314yescomplemented
550#10587571C2314yescomplemented
551#10587571C2314yescomplemented
552#10587570C2314yes—
553#10587570C2314yes—
554#10587570C2314yes—
555#10587570C2314yes—
556#10587570C2314yes—
557#10587570C2314yes—
558#10587570C2314yes—
559#10587570C2314yes—
560#10587570C2314yes—
561#10587570C2314yes—
562#10587570C2314yes—
563#10587570C2314yes—
564#10587570C2314yes—
565#10587570C2314yescomplemented
566#10587570C2314yescomplemented
567#10587570C2314yescomplemented
568#10587569C2314yes—
569#10587569C2314yes—
570#10587569C2314yes—
571#10587569C2314yes—
572#10587569C2314yes—
573#10587569C2314yes—
574#10587569C2314yes—
575#10587569C2314yescomplemented
576#10587569C2314yescomplemented
577#10587569C2314yescomplemented
578#10587568C2312yes—
579#10587568C2314yes—
580#10587568C2314yes—
581#10587568C2314yes—
582#10587568C2312yes—
583#10587568C2314yes—
584#10587568C2314yes—
585#10587568C2312yes—
586#10587568C2314yes—
587#10587568C2314yes—
588#10587568C2312yes—
589#10587568C2312yes—
590#10587568C2312yes—
591#10587568C2312yes—
592#10587568C2312yes—
593#10587568C2314yes—
594#10587568C2314yes—
595#10587568C2314yescomplemented
596#10587568C2314yescomplemented
597#10587568C2314yescomplemented
598#10587567C2314yes—
599#10587567C2314yes—
600#10587567C2314yes—
601#10587567C2314yes—
602#10587567C2314yes—
603#10587567C2314yescomplemented
604C22⋊C4×D17C2314yes—
605C22⋊C4×D17C2314yes—
606C22⋊C4×D17C2314yes—
607C22⋊C4×D17C2314yes—
608C22⋊C4×D17C2314yes—
609C22⋊C4×D17C2314yes—
610C22⋊C4×D17C2314yes—
611C22⋊C4×D17C2314yescomplemented
612#10587565C2314yes—
613#10587565C2314yes—
614#10587565C2314yescomplemented
615#10587565C2314yescomplemented
616#10587564C2314yes—
617#10587564C2314yes—
618#10587564C2314yescomplemented
619#10587564C2314yescomplemented
620#10587564C2314yescomplemented
621#10587564C2314yescomplemented
622#10587563C2314yes—
623#10587563C2314yes—
624#10587562C2314yes—
625#10587562C2314yescomplemented
626#10587561C2314yes—
627#10587561C2314yes—
628#10587561C2312yescomplemented
629#10587561C2314yescomplemented
630#10587560C2314yes—
631#10587560C2311yescharacteristic, complemented
632C4×D68C2312yes—
633C4×D68C2312yes—
634C4×D68C2312yes—
635C4×D68C2312yes—
636C4×D68C2312yes—
637C4×D68C2314yes—
638C4×D68C2312yes—
639C4×D68C2312yes—
640C4×D68C2314yes—
641C4×D68C2312yes—
642C4×D68C2314yes—
643C4×D68C2312yes—
644C4×D68C2314yes—
645C4×D68C2314yes—
646C4×D68C2312yes—
647C4×D68C2312yes—
648C4×D68C2312yes—
649C4×D68C2312yes—
650C4×D68C2312yes—
651C4×D68C2312yes—
652C4×D68C2312yes—
653C4×D68C2312yescomplemented
654C4×D68C2312yescomplemented
655C4×D68C2314yescomplemented
656C4×D68C2314yescomplemented
657C4×D68C2314yescomplemented
658C4×D68C2314yescomplemented
659C4×D68C2314yescomplemented
660#10587558C2314yes—
661#10587558C2314yes—
662#10587558C2314yescomplemented
663#10587558C2314yescomplemented
664#10587558C2314yescomplemented
665C42×D17C2314yes—
666C42×D17C2314yescomplemented
667C42×D17C2314yescomplemented
668#10587556C2314yescomplemented
669#10587556C2311yescharacteristic, complemented
670#10587556C2311yescharacteristic, complemented
671#10587555C2311yescharacteristic, complemented
672#10587555C2314yescomplemented
673#10587555C2312yescomplemented
674C4×Dic34C2312yescomplemented
675C4×Dic34C2312yescomplemented
676C4×Dic34C2314yescomplemented
677C4×Dic34C2314yescomplemented
678C24×C17C2411yescharacteristic
679C23×D17—44no—
680C23×D17—42no—
681C23×D17C2412yes—
682C23×D17C2411yescharacteristic
683C23×D17C2412yes—
684C23×D17C2412yes—
685C23×D17C2414yes—
686C23×D17C2411yescharacteristic
687C23×D17C2414yes—
688#41×C17—28no—
689C2×Q8×C17C2412yes—
690C2×Q8×C17C2414yes—
691C2×D4×C17C2414yes—
692C2×D4×C17C2412yes—
693C2×D4×C17C2414yes—
694C2×D4×C17C2414yes—
695C2×D4×C17C2414yes—
696C22×C4×C17—24no—
697C22×C4×C17C2411yescharacteristic
698C22×C4×C17C2411yescharacteristic
699C22×C4×C17C2411yescharacteristic
700C22×C4×C17C2411yescharacteristic
701C22×C4×C17C2411yescharacteristic
702C22×C4×C17C2414yes—
703C22×C4×C17C2412yes—
704C22×C4×C17C2414yes—
705C22×C4×C17C2414yes—
706C22×C4×C17C2412yes—
707C22×C4×C17C2411yescharacteristic
708C2×C22⋊D17—44no—
709C2×C22⋊D17C2414yes—
710C2×C22⋊D17C2414yes—
711C2×C22⋊D17C2412yes—
712C2×C22⋊D17C2412yes—
713C2×C22⋊D17C2412yes—
714C2×C22⋊D17C2412yes—
715C2×C22⋊D17C2414yes—
716C2×C22⋊D17C2414yes—
717C2×C22⋊D17C2414yes—
718C2×C22⋊D17C2414yes—
719C2×C22⋊D17C2414yes—
720C2×C22⋊D17C2414yes—
721C2×C22⋊D17C2414yes—
722C2×C22⋊D17C2414yes—
723C2×C22⋊D17C2414yes—
724C22×Dic17—42no—
725C22×Dic17C2412yes—
726C22×Dic17C2412yes—
727C22×Dic17C2411yescharacteristic
728C22×Dic17C2412yes—
729C22×Dic17C2411yescharacteristic
730C22×Dic17C2414yes—
731C22×Dic17C2414yes—
732#63256—48no—
733#63256—44no—
734#63256—44no—
735Q8×D17—44no—
736Q8×D17—44no—
737#63254—44no—
738#63254—44no—
739#63254—48no—
740#63254—48no—
741D4×D17—44no—
742D4×D17—44no—
743D4×D17—48no—
744D4×D17—48no—
745D4×D17—48no—
746D4×D17—48no—
747D4×D17—48no—
748#63252—28no—
749#63252—42no—
750#63252—44no—
751#63252—42no—
752#63252—42no—
753#63252—44no—
754#63252—42no—
755#63252—48no—
756#63252—48no—
757#63252—48no—
758C2×D68—44no—
759C2×D68—48no—
760C2×D68—44no—
761C2×D68—42no—
762C2×D68C2412yes—
763C2×D68C2412yes—
764C2×D68C2412yes—
765C2×D68C2414yes—
766C2×D68C2412yes—
767C2×D68C2412yes—
768C2×D68C2411yescharacteristic
769C2×D68C2412yes—
770C2×D68C2411yescharacteristic
771C2×D68C2412yes—
772C2×D68C2412yes—
773C2×D68C2412yes—
774C2×D68C2412yes—
775C2×D68C2414yes—
776C2×D68C2414yes—
777C2×D68C2414yes—
778C2×D68C2414yes—
779C2×D68C2414yes—
780C2×D68C2414yes—
781C2×C4×D17—28no—
782C2×C4×D17—28no—
783C2×C4×D17—42no—
784C2×C4×D17—44no—
785C2×C4×D17—42no—
786C2×C4×D17—42no—
787C2×C4×D17—44no—
788C2×C4×D17—42no—
789C2×C4×D17—48no—
790C2×C4×D17—48no—
791C2×C4×D17—44no—
792C2×C4×D17C2412yes—
793C2×C4×D17C2412yes—
794C2×C4×D17C2412yes—
795C2×C4×D17C2412yes—
796C2×C4×D17C2412yes—
797C2×C4×D17C2414yes—
798C2×C4×D17C2412yes—
799C2×C4×D17C2412yes—
800C2×C4×D17C2412yes—
801C2×C4×D17C2414yes—
802C2×C4×D17C2412yes—
803C2×C4×D17C2412yes—
804C2×C4×D17C2412yes—
805C2×C4×D17C2412yes—
806C2×C4×D17C2414yes—
807C2×C4×D17C2414yes—
808C2×C4×D17C2414yes—
809C2×C4×D17C2414yes—
810C2×C4×D17C2414yes—
811C2×C4×D17C2414yes—
812C2×C4×D17C2414yes—
813C2×C4×D17C2414yes—
814C2×C4×D17C2414yes—
815C2×Dic34—42no—
816C2×Dic34C2412yes—
817C2×Dic34C2411yescharacteristic
818C2×Dic34C2412yes—
819C2×Dic34C2411yescharacteristic
820C2×Dic34C2414yes—
821C2×Dic34C2414yes—
822C2×Dic34C2414yes—
823C4⋊C4×C17C2414yes—
824C4⋊C4×C17C2414yes—
825C4⋊C4×C17C2414yes—
826C4⋊C4×C17C2414yes—
827C4⋊C4×C17C2414yes—
828C4⋊C4×C17C2412yes—
829C4⋊C4×C17C2412yes—
830C4⋊C4×C17C2412yes—
831C4⋊C4×C17C2412yes—
832C4⋊C4×C17C2414yes—
833C4⋊C4×C17C2414yes—
834C4⋊C4×C17C2412yes—
835C4⋊C4×C17C2412yes—
836C4⋊C4×C17C2414yes—
837C22⋊C4×C17C2414yes—
838C22⋊C4×C17C2414yes—
839C22⋊C4×C17C2414yes—
840C22⋊C4×C17C2414yes—
841C22⋊C4×C17C2414yes—
842C22⋊C4×C17C2414yes—
843C22⋊C4×C17C2414yes—
844C22⋊C4×C17C2412yes—
845C22⋊C4×C17C2412yes—
846C22⋊C4×C17C2414yes—
847C22⋊C4×C17C2414yes—
848C22⋊C4×C17C2412yes—
849C22⋊C4×C17C2412yes—
850C42×C17C2414yes—
851C42×C17C2414yes—
852C42×C17C2411yescharacteristic
853C42×C17C2411yescharacteristic
854C42×C17C2412yes—
855C42×C17C2411yescharacteristic
856C42×C17C2411yescharacteristic
857C42×C17C2414yes—
858C42×C17C2412yes—
859C22⋊Dic17C2414yes—
860C22⋊Dic17C2414yes—
861C22⋊Dic17C2414yes—
862C22⋊Dic17C2414yes—
863C22⋊Dic17C2414yes—
864C22⋊Dic17C2414yes—
865C22⋊Dic17C2414yes—
866#63227C2412yes—
867#63227C2414yes—
868#63227C2414yes—
869#63227C2414yes—
870#63227C2412yes—
871#63227C2414yes—
872#63227C2414yes—
873#63227C2414yes—
874#63227C2414yes—
875#63227C2414yes—
876#63227C2412yes—
877#63227C2412yes—
878#63227C2412yes—
879#63227C2412yes—
880#63227C2412yes—
881#63227C2412yes—
882#63227C2412yes—
883#63227C2414yes—
884#63227C2412yes—
885#63227C2412yes—
886#63227C2412yes—
887#63227C2412yes—
888#63227C2412yes—
889#63227C2412yes—
890#63227C2412yes—
891#63227C2414yes—
892#63227C2414yes—
893#63227C2414yes—
894#63227C2414yes—
895#63227C2414yes—
896#63227C2414yes—
897#63227C2414yes—
898#63227C2414yes—
899#63227C2414yes—
900#63227C2414yes—
901#63227C2414yes—
902#63227C2414yes—
903#63227C2414yes—
904C4⋊Dic17C2412yes—
905C4⋊Dic17C2414yes—
906C4⋊Dic17C2412yes—
907C4⋊Dic17C2412yes—
908C4⋊Dic17C2412yes—
909C4⋊Dic17C2414yes—
910C4⋊Dic17C2414yes—
911C4⋊Dic17C2414yes—
912C4⋊Dic17C2412yes—
913C4⋊Dic17C2412yes—
914C4⋊Dic17C2412yes—
915C4⋊Dic17C2412yes—
916C4⋊Dic17C2412yes—
917C4⋊Dic17C2412yes—
918C4⋊Dic17C2414yes—
919C4⋊Dic17C2414yes—
920#63225C2414yes—
921#63225C2414yes—
922#63225C2414yes—
923#63225C2414yes—
924#63225C2414yes—
925#63225C2414yes—
926#63225C2414yes—
927#63225C2414yes—
928#63225C2414yes—
929#63225C2414yes—
930#63225C2414yes—
931#63225C2414yes—
932#63225C2414yes—
933#63225C2414yes—
934C4×Dic17C2414yes—
935C4×Dic17C2414yes—
936C4×Dic17C2414yes—
937C4×Dic17C2414yes—
938C4×Dic17C2414yes—
939C4×Dic17C2414yes—
940C4×Dic17C2414yes—
941#62729—171nomaximal, Sylow
942C23×C17—22no—
943C23×C17—42no—
944C23×C17C2511yescharacteristic
945C23×C17C2511yescharacteristic
946C23×C17C2514yes—
947C23×C17C2511yescharacteristic
948C22×D17—24no—
949C22×D17—24no—
950C22×D17—24no—
951C22×D17—24no—
952C22×D17—24no—
953C22×D17—28no—
954C22×D17—41no—
955C22×D17—42no—
956C22×D17—41no—
957C22×D17—42no—
958C22×D17—42no—
959C22×D17—42no—
960C22×D17—44no—
961C22×D17—44no—
962C22×D17—42no—
963C22×D17—42no—
964C22×D17—44no—
965C22×D17—44no—
966C22×D17—44no—
967C22×D17—416no—
968C22×D17C2512yes—
969C22×D17C2514yes—
970C22×D17C2512yes—
971C22×D17C2512yes—
972C22×D17C2512yes—
973Q8×C17—24no—
974Q8×C17—44no—
975D4×C17—28no—
976D4×C17—24no—
977D4×C17—44no—
978D4×C17—44no—
979D4×C17—44no—
980C2×C4×C17—22no—
981C2×C4×C17—22no—
982C2×C4×C17—22no—
983C2×C4×C17—22no—
984C2×C4×C17—22no—
985C2×C4×C17—28no—
986C2×C4×C17—42no—
987C2×C4×C17—42no—
988C2×C4×C17—44no—
989C2×C4×C17—44no—
990C2×C4×C17H(5,𝔽2)14yes—
991C2×C4×C17C2512yes—
992C2×C4×C17C2512yes—
993C2×C4×C17C2512yes—
994C2×C4×C17C2514yes—
995C2×C4×C17C2514yes—
996C2×C4×C17C2514yes—
997C2×C4×C17C2512yes—
998C2×C4×C17C2511yescharacteristic
999C2×C4×C17C2511yescharacteristic
1000C2×C4×C17C2511yescharacteristic
1001C2×C4×C17C2511yescharacteristic
1002C22⋊D17—28no—
1003C22⋊D17—28no—
1004C22⋊D17—42no—
1005C22⋊D17—42no—
1006C22⋊D17—42no—
1007C22⋊D17—42no—
1008C22⋊D17—44no—
1009C22⋊D17—44no—
1010C22⋊D17—44no—
1011C22⋊D17—44no—
1012C22⋊D17—44no—
1013C22⋊D17—44no—
1014C22⋊D17—44no—
1015C22⋊D17—44no—
1016C22⋊D17—44no—
1017C2×Dic17—24no—
1018C2×Dic17—24no—
1019C2×Dic17—41no—
1020C2×Dic17—42no—
1021C2×Dic17—41no—
1022C2×Dic17—44no—
1023C2×Dic17—44no—
1024C2×Dic17C2514yes—
1025C2×Dic17C2514yes—
1026C2×Dic17C2512yes—
1027C2×Dic17C2514yes—
1028C2×Dic17C2512yes—
1029C2×Dic17C2512yes—
1030C2×Dic17C2512yes—
1031D68—24no—
1032D68—24no—
1033D68—24no—
1034D68—28no—
1035D68—24no—
1036D68—24no—
1037D68—42no—
1038D68—42no—
1039D68—44no—
1040D68—42no—
1041D68—42no—
1042D68—44no—
1043D68—41no—
1044D68—42no—
1045D68—41no—
1046D68—44no—
1047D68—44no—
1048D68—44no—
1049D68—44no—
1050C4×D17—28no—
1051C4×D17—24no—
1052C4×D17—24no—
1053C4×D17—24no—
1054C4×D17—24no—
1055C4×D17—24no—
1056C4×D17—24no—
1057C4×D17—24no—
1058C4×D17—24no—
1059C4×D17—28no—
1060C4×D17—42no—
1061C4×D17—42no—
1062C4×D17—42no—
1063C4×D17—42no—
1064C4×D17—44no—
1065C4×D17—44no—
1066C4×D17—44no—
1067C4×D17—44no—
1068C4×D17—44no—
1069C4×D17—44no—
1070C4×D17—44no—
1071C4×D17—44no—
1072C4×D17—44no—
1073Dic34—24no—
1074Dic34—41no—
1075Dic34—42no—
1076Dic34—41no—
1077Dic34—44no—
1078Dic34—44no—
1079Dic34—44no—
1080#3542—172no—
1081#3542—172no—
1082#3541—172no—
1083#3541—172no—
1084#3540—172no—
1085#3539—171no—
1086#3539—171no—
1087#3538—171no—
1088#3537—171no—
1089#3536—172no—
1090#3535—174no—
1091#3534—174no—
1092#3533—174no—
1093#3532—174no—
1094#3529—174no—
1095#3481—174no—
1096#3475—172no—
1097#3475—172no—
1098D4×#41—172no—
1099D4×#41—172no—
1100#3460—174no—
1101#3459—174no—
1102#3455—171no—
1103#3455D1711yescharacteristic, complemented
1104#3449—172no—
1105C2×#525—172no—
1106C2×#525—171no—
1107C22×C17—22no—
1108C22×C17—21no—
1109C22×C17—21no—
1110C22×C17—24no—
1111C22×C17—24no—
1112C22×C17—24no—
1113C22×C17—22no—
1114C22×C17—22no—
1115C22×C17—44no—
1116C22×C17C2×H(5,𝔽2)12yes—
1117C22×C17C2611yescharacteristic
1118C2×D17—22no—
1119C2×D17—22no—
1120C2×D17—22no—
1121C2×D17—22no—
1122C2×D17—22no—
1123C2×D17—24no—
1124C2×D17—22no—
1125C2×D17—22no—
1126C2×D17—24no—
1127C2×D17—24no—
1128C2×D17—22no—
1129C2×D17—22no—
1130C2×D17—22no—
1131C2×D17—22no—
1132C2×D17—44no—
1133C2×D17—48no—
1134C2×D17—48no—
1135C2×D17—44no—
1136C2×D17—88no—
1137C2×D17—84no—
1138C2×D17—88no—
1139C2×D17#58514yes—
1140C4×C17—21no—
1141C4×C17—21no—
1142C4×C17—24no—
1143C4×C17—22no—
1144C4×C17—24no—
1145C4×C17—22no—
1146C4×C17—24no—
1147C4×C17—22no—
1148C4×C17—22no—
1149C4×C17C2×H(5,𝔽2)12yes—
1150C4×C17C2×H(5,𝔽2)12yes—
1151Dic17—24no—
1152Dic17—22no—
1153Dic17—22no—
1154Dic17—22no—
1155Dic17—22no—
1156Dic17—24no—
1157Dic17—24no—
1158C22×#41—172no—
1159C22×#41—172no—
1160C22×#41—171no—
1161C24×C4—171no—
1162#563—174no—
1163#563—174no—
1164#563—174no—
1165#562—174no—
1166#562—174no—
1167#562—174no—
1168#562—174no—
1169#562—174no—
1170#562—174no—
1171H(3,𝔽4)—174no—
1172#560—174no—
1173#560—174no—
1174#560—174no—
1175#560—174no—
1176#560—174no—
1177#560—174no—
1178#559—174no—
1179#556—172no—
1180#556—172no—
1181#555—172no—
1182#555—172no—
1183#554—172no—
1184#554—174no—
1185#554—174no—
1186#554—172no—
1187#553—174no—
1188#553—174no—
1189#553—172no—
1190#553—172no—
1191#553—174no—
1192#553—174no—
1193#553—172no—
1194#553—172no—
1195#552—172no—
1196#552—172no—
1197#552—174no—
1198#552—172no—
1199#552—172no—
1200#552—174no—
1201#551—174no—
1202#551—174no—
1203#551—174no—
1204#551—174no—
1205#551—174no—
1206#551—174no—
1207#551—174no—
1208#551—174no—
1209#550—172no—
1210#550—172no—
1211D4×Q8—172no—
1212D4×Q8—172no—
1213#548—172no—
1214#548—172no—
1215#548—172no—
1216#548—172no—
1217#547—172no—
1218#547—172no—
1219#547—174no—
1220#547—174no—
1221#547—172no—
1222#547—172no—
1223#546—174no—
1224#546—172no—
1225#546—172no—
1226#546—174no—
1227#546—174no—
1228#546—174no—
1229#546—174no—
1230#546—174no—
1231#546—174no—
1232#546—174no—
1233#546—174no—
1234#546—174no—
1235#546—172no—
1236#546—172no—
1237D42—172no—
1238D42—174no—
1239D42—174no—
1240D42—174no—
1241D42—172no—
1242#544—174no—
1243#543—174no—
1244#542—174no—
1245#542—174no—
1246#542—174no—
1247#542—174no—
1248#542—172no—
1249#542—172no—
1250#542C2×D1712yescomplemented
1251#542C2×D1712yescomplemented
1252#541—171no—
1253#541—171no—
1254#541C2×D1711yescharacteristic, complemented
1255#541C2×D1711yescharacteristic, complemented
1256#540—174no—
1257#540—174no—
1258#540—174no—
1259#540—174no—
1260#540—171no—
1261#540—171no—
1262#540C2×D1711yescharacteristic, complemented
1263#540C2×D1711yescharacteristic, complemented
1264#539—174no—
1265#539—174no—
1266#539—174no—
1267#539—174no—
1268#539—174no—
1269#539—174no—
1270#539—174no—
1271#539C2×D1714yescomplemented
1272#538—174no—
1273#538—174no—
1274#538—174no—
1275#538—174no—
1276#538—174no—
1277#538—174no—
1278#538—174no—
1279#538—174no—
1280#538—174no—
1281#538—174no—
1282#538—174no—
1283#538C2×D1714yescomplemented
1284#537—172no—
1285#537—172no—
1286#537—174no—
1287#537—172no—
1288#537—172no—
1289#536—174no—
1290#536—172no—
1291#536—172no—
1292#535—174no—
1293#535—172no—
1294#535—172no—
1295#535—174no—
1296#535—174no—
1297#534—174no—
1298#534—174no—
1299#534—174no—
1300#534—174no—
1301#534—174no—
1302#533—171no—
1303#533C2×D1711yescharacteristic, complemented
1304#532—174no—
1305#532—174no—
1306#532—174no—
1307#532—171no—
1308#532—174no—
1309#532C2×D1711yescharacteristic, complemented
1310#529—174no—
1311#529—174no—
1312#529—174no—
1313#529—174no—
1314#529—174no—
1315#529—174no—
1316#529—174no—
1317#529—174no—
1318#529C2×D1714yescomplemented
1319#529C2×D1714yescomplemented
1320#525—172no—
1321#525—172no—
1322#525—172no—
1323#525—174no—
1324#525—172no—
1325#525—172no—
1326#525—172no—
1327#525—172no—
1328#525—174no—
1329#525—174no—
1330#525—174no—
1331#525—174no—
1332#525—174no—
1333#525—174no—
1334#525—174no—
1335#525—171no—
1336#525—172no—
1337#525—172no—
1338#525—172no—
1339#525—172no—
1340#525—172no—
1341#525—171no—
1342#525—171no—
1343#525—171no—
1344#525—172no—
1345#525—172no—
1346#525—172no—
1347#525—174no—
1348#525—174no—
1349#525C2×D1712yescomplemented
1350C2×#123—174no—
1351C2×#123—172no—
1352C2×C22⋊Q8—172no—
1353C2×C22⋊Q8—172no—
1354C2×C22⋊Q8—172no—
1355C2×#121—172no—
1356C2×#121—172no—
1357C2×#121—172no—
1358C2×#120—174no—
1359C2×#120—172no—
1360C4×#41—174no—
1361C4×#41—172no—
1362C4×#41—174no—
1363C4×#41C2×D1712yescomplemented
1364C2×C4×D4—174no—
1365C2×C4×D4—174no—
1366C2×C4×D4—174no—
1367C2×C4×D4—172no—
1368C2×C4×D4—172no—
1369C2×C4×D4—174no—
1370C2×#117—172no—
1371C2×#117—172no—
1372C2×#117C2×D1711yescharacteristic, complemented
1373C2×C17—22no—
1374C2×C17—41no—
1375C2×C17—41no—
1376C2×C17—44no—
1377C2×C17C22×H(5,𝔽2)11yescharacteristic
1378C2×C17C2×#58512yes—
1379D17—24no—
1380D17—42no—
1381D17—42no—
1382D17—44no—
1383D17—42no—
1384C25—171no—
1385C2×#41—174no—
1386C2×#41—172no—
1387C2×#41—172no—
1388C2×#41—174no—
1389C2×#41—172no—
1390C2×#41—174no—
1391C2×#41—172no—
1392C2×#41—172no—
1393C2×#41—174no—
1394C2×#41—171no—
1395C2×#41—172no—
1396C2×#41—174no—
1397C2×#41—171no—
1398C2×#41—174no—
1399C2×#41—171no—
1400C2×#41—172no—
1401C2×#41—171no—
1402C2×#41—684no—
1403C2×#41—688no—
1404C2×#41—688no—
1405C2×#41C22×D1712yes—
1406C22×Q8—172no—
1407C22×Q8—172no—
1408C22×Q8—171no—
1409C22×D4—172no—
1410C22×D4—174no—
1411C22×D4—174no—
1412C22×D4—174no—
1413C22×D4—174no—
1414C22×D4—172no—
1415C22×D4—174no—
1416C22×D4—172no—
1417C22×D4—172no—
1418C22×D4—172no—
1419C22×D4—174no—
1420C22×D4—171no—
1421C23×C4—171no—
1422C23×C4—172no—
1423C23×C4—172no—
1424C23×C4—171no—
1425C23×C4—174no—
1426C23×C4—172no—
1427C23×C4—174no—
1428C23×C4—171no—
1429C23×C4—172no—
1430C23×C4—172no—
1431C23×C4—171no—
1432C23×C4—171no—
1433C23×C4—684no—
1434C23×C4C22×D1711yescharacteristic
1435C4⋊Q8—174no—
1436C4⋊Q8—174no—
1437C4⋊Q8—174no—
1438C4⋊Q8—171no—
1439C4⋊Q8—174no—
1440C4⋊Q8—172no—
1441C4⋊Q8C22×D1711yescharacteristic, complemented
1442C4⋊Q8C22×D1712yescomplemented
1443#127—174no—
1444#127—174no—
1445#127—174no—
1446#127—174no—
1447#127—171no—
1448#127C22×D1711yescharacteristic, complemented
1449#126—174no—
1450#126—174no—
1451#126—174no—
1452#126—174no—
1453#126—174no—
1454#126—174no—
1455#126—174no—
1456#126—174no—
1457#126—174no—
1458#126—174no—
1459#126—174no—
1460#126—174no—
1461#126—174no—
1462#126—174no—
1463#126—174no—
1464#126—174no—
1465#126C22×D1714yes—
1466#126C22×D1714yes—
1467#126C22×D1714yescomplemented
1468#126C22×D1714yescomplemented
1469#125—174no—
1470#125—174no—
1471#125—174no—
1472#125—174no—
1473#125—174no—
1474#125—174no—
1475#125—174no—
1476#125—174no—
1477#125—171no—
1478#125—171no—
1479#125C22×D1714yescomplemented
1480#125C22×D1714yescomplemented
1481#125C22×D1711yescharacteristic, complemented
1482#125C22×D1711yescharacteristic, complemented
1483#124—174no—
1484#124—174no—
1485#124—174no—
1486#124—174no—
1487#124—174no—
1488#124—174no—
1489#124—174no—
1490#124—174no—
1491#124—174no—
1492#124—174no—
1493#124—174no—
1494#124—174no—
1495#124—174no—
1496#124—174no—
1497#124—174no—
1498#124—174no—
1499#124—172no—
1500#124C22×D1714yes—
1501#124C22×D1714yes—
1502#124C22×D1712yescomplemented
1503#123—174no—
1504#123—174no—
1505#123—174no—
1506#123—174no—
1507#123—174no—
1508#123—174no—
1509#123—174no—
1510#123—174no—
1511#123—174no—
1512#123—174no—
1513#123—174no—
1514#123—174no—
1515#123—174no—
1516#123—174no—
1517#123—174no—
1518#123—174no—
1519#123—174no—
1520#123—174no—
1521#123—174no—
1522#123—174no—
1523#123—174no—
1524#123—172no—
1525#123—172no—
1526#123—174no—
1527#123—172no—
1528#123—172no—
1529#123—174no—
1530#123—172no—
1531#123—172no—
1532#123—172no—
1533#123—174no—
1534#123—172no—
1535#123—174no—
1536#123—174no—
1537#123—174no—
1538#123—174no—
1539#123—174no—
1540#123—174no—
1541#123—174no—
1542#123—174no—
1543#123—174no—
1544#123—174no—
1545#123—174no—
1546#123—174no—
1547#123—174no—
1548#123C22×D1714yes—
1549#123C22×D1714yes—
1550#123C22×D1714yes—
1551#123C22×D1714yescomplemented
1552#123C22×D1714yescomplemented
1553C22⋊Q8—172no—
1554C22⋊Q8—172no—
1555C22⋊Q8—172no—
1556C22⋊Q8—172no—
1557C22⋊Q8—174no—
1558C22⋊Q8—174no—
1559C22⋊Q8—174no—
1560C22⋊Q8—172no—
1561C22⋊Q8—172no—
1562C22⋊Q8—174no—
1563C22⋊Q8—174no—
1564C22⋊Q8—172no—
1565C22⋊Q8—174no—
1566C22⋊Q8—172no—
1567C22⋊Q8—172no—
1568C22⋊Q8—172no—
1569C22⋊Q8—172no—
1570C22⋊Q8—172no—
1571C22⋊Q8—172no—
1572C22⋊Q8—172no—
1573C22⋊Q8—174no—
1574C22⋊Q8—172no—
1575C22⋊Q8—172no—
1576C22⋊Q8—174no—
1577C22⋊Q8—172no—
1578C22⋊Q8—172no—
1579C22⋊Q8—174no—
1580C22⋊Q8—174no—
1581C22⋊Q8—174no—
1582C22⋊Q8—174no—
1583C22⋊Q8—174no—
1584C22⋊Q8—174no—
1585C22⋊Q8—174no—
1586C22⋊Q8—174no—
1587C22⋊Q8—174no—
1588C22⋊Q8—174no—
1589C22⋊Q8—174no—
1590C22⋊Q8—174no—
1591C22⋊Q8—174no—
1592C22⋊Q8—174no—
1593C22⋊Q8—174no—
1594C22⋊Q8—174no—
1595C22⋊Q8—174no—
1596C22⋊Q8C22×D1712yes—
1597C22⋊Q8C22×D1712yes—
1598C22⋊Q8C22×D1714yes—
1599C22⋊Q8C22×D1714yescomplemented
1600C22⋊Q8C22×D1714yescomplemented
1601#121—174no—
1602#121—172no—
1603#121—172no—
1604#121—174no—
1605#121—174no—
1606#121—174no—
1607#121—172no—
1608#121—172no—
1609#121—174no—
1610#121—174no—
1611#121—174no—
1612#121—174no—
1613#121—174no—
1614#121—172no—
1615#121—172no—
1616#121—174no—
1617#121—174no—
1618#121—174no—
1619#121—174no—
1620#121—174no—
1621#121—174no—
1622#121—172no—
1623#121—172no—
1624#121—172no—
1625#121—172no—
1626#121—172no—
1627#121—172no—
1628#121—172no—
1629#121—172no—
1630#121—172no—
1631#121—172no—
1632#121—174no—
1633#121—172no—
1634#121—172no—
1635#121—174no—
1636#121—174no—
1637#121—174no—
1638#121—174no—
1639#121—174no—
1640#121—174no—
1641#121—174no—
1642#121—174no—
1643#121—174no—
1644#121—174no—
1645#121—174no—
1646#121—174no—
1647#121—174no—
1648#121—174no—
1649#121—174no—
1650#121—174no—
1651#121—174no—
1652#121—174no—
1653#121—174no—
1654#121—174no—
1655#121—174no—
1656#121—174no—
1657#121—174no—
1658#121—174no—
1659#121—174no—
1660#121C22×D1712yes—
1661#121C22×D1712yes—
1662#121C22×D1714yes—
1663#121C22×D1714yes—
1664#121C22×D1714yes—
1665#120—174no—
1666#120—174no—
1667#120—174no—
1668#120—174no—
1669#120—174no—
1670#120—174no—
1671#120—174no—
1672#120—174no—
1673#120—174no—
1674#120—172no—
1675#120—172no—
1676#120—174no—
1677#120—172no—
1678#120—172no—
1679#120—172no—
1680#120—174no—
1681#120—172no—
1682#120—172no—
1683#120—174no—
1684#120—172no—
1685#120—174no—
1686#120—174no—
1687#120—174no—
1688#120—174no—
1689#120—174no—
1690#120—174no—
1691#120—174no—
1692#120—174no—
1693#120—174no—
1694#120C22×D1714yes—
1695C4×Q8—174no—
1696C4×Q8—174no—
1697C4×Q8—172no—
1698C4×Q8—172no—
1699C4×Q8—174no—
1700C4×Q8C22×D1714yescomplemented
1701C4×Q8C22×D1712yescomplemented
1702C4×Q8C22×D1712yescomplemented
1703C4×D4—174no—
1704C4×D4—174no—
1705C4×D4—174no—
1706C4×D4—174no—
1707C4×D4—174no—
1708C4×D4—174no—
1709C4×D4—174no—
1710C4×D4—174no—
1711C4×D4—174no—
1712C4×D4—174no—
1713C4×D4—174no—
1714C4×D4—174no—
1715C4×D4—174no—
1716C4×D4—174no—
1717C4×D4—174no—
1718C4×D4—174no—
1719C4×D4—174no—
1720C4×D4—174no—
1721C4×D4—174no—
1722C4×D4—174no—
1723C4×D4—174no—
1724C4×D4—174no—
1725C4×D4—174no—
1726C4×D4—174no—
1727C4×D4—174no—
1728C4×D4—172no—
1729C4×D4—172no—
1730C4×D4—174no—
1731C4×D4—172no—
1732C4×D4—172no—
1733C4×D4—172no—
1734C4×D4—172no—
1735C4×D4—174no—
1736C4×D4—174no—
1737C4×D4—172no—
1738C4×D4—172no—
1739C4×D4—174no—
1740C4×D4—172no—
1741C4×D4—172no—
1742C4×D4—172no—
1743C4×D4—172no—
1744C4×D4—172no—
1745C4×D4—172no—
1746C4×D4—172no—
1747C4×D4—172no—
1748C4×D4—174no—
1749C4×D4—174no—
1750C4×D4—174no—
1751C4×D4—174no—
1752C4×D4—174no—
1753C4×D4—174no—
1754C4×D4—172no—
1755C4×D4—172no—
1756C4×D4C22×D1714yes—
1757C4×D4C22×D1714yes—
1758C4×D4C22×D1714yes—
1759C4×D4C22×D1714yes—
1760C4×D4C22×D1714yescomplemented
1761C4×D4C22×D1712yescomplemented
1762C4×D4C22×D1712yescomplemented
1763#117—172no—
1764#117—174no—
1765#117—172no—
1766#117—172no—
1767#117—172no—
1768#117—172no—
1769#117—174no—
1770#117—174no—
1771#117—174no—
1772#117—174no—
1773#117—174no—
1774#117—174no—
1775#117—174no—
1776#117—174no—
1777#117—174no—
1778#117—174no—
1779#117C22×D1712yes—
1780#117C22×D1712yes—
1781#117C22×D1712yes—
1782#117C22×D1711yescharacteristic
1783#117C22×D1711yescharacteristic
1784#117C22×D1711yescharacteristic
1785#117C22×D1711yescharacteristic
1786#117C22×D1714yescomplemented
1787C2×C4⋊C4—172no—
1788C2×C4⋊C4—172no—
1789C2×C4⋊C4—174no—
1790C2×C4⋊C4—172no—
1791C2×C4⋊C4—172no—
1792C2×C4⋊C4—172no—
1793C2×C4⋊C4—172no—
1794C2×C4⋊C4—174no—
1795C2×C4⋊C4—174no—
1796C2×C4⋊C4—174no—
1797C2×C4⋊C4C22×D1712yes—
1798C2×C22⋊C4—172no—
1799C2×C22⋊C4—172no—
1800C2×C22⋊C4—172no—
1801C2×C22⋊C4—172no—
1802C2×C22⋊C4—174no—
1803C2×C22⋊C4—174no—
1804C2×C22⋊C4—174no—
1805C2×C22⋊C4—174no—
1806C2×C22⋊C4—174no—
1807C2×C22⋊C4—174no—
1808C2×C22⋊C4—174no—
1809C2×C22⋊C4—174no—
1810C2×C22⋊C4—174no—
1811C2×C22⋊C4—174no—
1812C2×C22⋊C4C22×D1712yes—
1813C2×C42—174no—
1814C2×C42—174no—
1815C2×C42—174no—
1816C2×C42C22×D1711yescharacteristic
1817C2×C42C22×D1711yescharacteristic
1818C2×C42C22×D1714yescomplemented
1819C17#6272911yescharacteristic, complemented, Sylow
1820C24—171no—
1821C24—172no—
1822C24—174no—
1823C24—172no—
1824C24—172no—
1825C24—174no—
1826C24—171no—
1827C24—682no—
1828C24—684no—
1829C24C23×D1711yescharacteristic
1830#41—28no—
1831#41—348no—
1832#41—682no—
1833#41—684no—
1834#41—682no—
1835#41—684no—
1836#41—682no—
1837#41—682no—
1838#41—688no—
1839#41—688no—
1840#41—688no—
1841#41—688no—
1842#41—688no—
1843#41—684no—
1844#41—684no—
1845#41—688no—
1846#41—684no—
1847#41—684no—
1848C2×Q8—172no—
1849C2×Q8—174no—
1850C2×Q8—171no—
1851C2×Q8—172no—
1852C2×Q8—174no—
1853C2×Q8—171no—
1854C2×Q8—174no—
1855C2×Q8—682no—
1856C2×Q8—684no—
1857C2×Q8—684no—
1858C2×Q8C23×D1712yes—
1859C2×Q8C23×D1714yes—
1860C2×D4—174no—
1861C2×D4—174no—
1862C2×D4—174no—
1863C2×D4—174no—
1864C2×D4—174no—
1865C2×D4—174no—
1866C2×D4—174no—
1867C2×D4—172no—
1868C2×D4—172no—
1869C2×D4—174no—
1870C2×D4—174no—
1871C2×D4—172no—
1872C2×D4—174no—
1873C2×D4—172no—
1874C2×D4—174no—
1875C2×D4—172no—
1876C2×D4—172no—
1877C2×D4—174no—
1878C2×D4—172no—
1879C2×D4—172no—
1880C2×D4—172no—
1881C2×D4—172no—
1882C2×D4—172no—
1883C2×D4—174no—
1884C2×D4—174no—
1885C2×D4—174no—
1886C2×D4—172no—
1887C2×D4—172no—
1888C2×D4—174no—
1889C2×D4—171no—
1890C2×D4—174no—
1891C2×D4—172no—
1892C2×D4—174no—
1893C2×D4—171no—
1894C2×D4—682no—
1895C2×D4—688no—
1896C2×D4—684no—
1897C2×D4—684no—
1898C2×D4—684no—
1899C2×D4—684no—
1900C2×D4—688no—
1901C2×D4—684no—
1902C2×D4—688no—
1903C2×D4—688no—
1904C2×D4—688no—
1905C2×D4—688no—
1906C2×D4C23×D1714yes—
1907C2×D4C23×D1712yes—
1908C2×D4C23×D1714yes—
1909C2×D4C23×D1714yes—
1910C2×D4C23×D1714yes—
1911C22×C4—24no—
1912C22×C4—172no—
1913C22×C4—172no—
1914C22×C4—174no—
1915C22×C4—174no—
1916C22×C4—171no—
1917C22×C4—172no—
1918C22×C4—171no—
1919C22×C4—174no—
1920C22×C4—172no—
1921C22×C4—172no—
1922C22×C4—172no—
1923C22×C4—172no—
1924C22×C4—172no—
1925C22×C4—172no—
1926C22×C4—174no—
1927C22×C4—172no—
1928C22×C4—172no—
1929C22×C4—174no—
1930C22×C4—174no—
1931C22×C4—174no—
1932C22×C4—174no—
1933C22×C4—174no—
1934C22×C4—172no—
1935C22×C4—174no—
1936C22×C4—172no—
1937C22×C4—174no—
1938C22×C4—174no—
1939C22×C4—172no—
1940C22×C4—174no—
1941C22×C4—172no—
1942C22×C4—348no—
1943C22×C4—348no—
1944C22×C4—682no—
1945C22×C4—684no—
1946C22×C4—682no—
1947C22×C4—684no—
1948C22×C4—682no—
1949C22×C4—682no—
1950C22×C4—688no—
1951C22×C4—688no—
1952C22×C4—684no—
1953C22×C4—682no—
1954C22×C4C23×D1711yescharacteristic
1955C22×C4C23×D1711yescharacteristic
1956C22×C4C23×D1711yescharacteristic
1957C22×C4C23×D1714yes—
1958C22×C4C23×D1711yescharacteristic
1959C22×C4C23×D1711yescharacteristic
1960C22×C4C23×D1712yes—
1961C22×C4C23×D1712yes—
1962C22×C4C23×D1714yes—
1963C22×C4C23×D1714yes—
1964C22×C4C23×D1711yescharacteristic
1965C4⋊C4—172no—
1966C4⋊C4—172no—
1967C4⋊C4—172no—
1968C4⋊C4—172no—
1969C4⋊C4—174no—
1970C4⋊C4—174no—
1971C4⋊C4—172no—
1972C4⋊C4—172no—
1973C4⋊C4—174no—
1974C4⋊C4—174no—
1975C4⋊C4—174no—
1976C4⋊C4—174no—
1977C4⋊C4—172no—
1978C4⋊C4—172no—
1979C4⋊C4—174no—
1980C4⋊C4—174no—
1981C4⋊C4—174no—
1982C4⋊C4—174no—
1983C4⋊C4—174no—
1984C4⋊C4—174no—
1985C4⋊C4—174no—
1986C4⋊C4—172no—
1987C4⋊C4—172no—
1988C4⋊C4—174no—
1989C4⋊C4—174no—
1990C4⋊C4—174no—
1991C4⋊C4—174no—
1992C4⋊C4—174no—
1993C4⋊C4—174no—
1994C4⋊C4—174no—
1995C4⋊C4C23×D1712yes—
1996C4⋊C4C23×D1712yes—
1997C4⋊C4C23×D1714yes—
1998C4⋊C4C23×D1714yes—
1999C4⋊C4C23×D1714yes—
2000C4⋊C4C23×D1712yes—
2001C4⋊C4C23×D1712yes—
2002C4⋊C4C23×D1712yes—
2003C4⋊C4C23×D1712yes—
2004C4⋊C4C23×D1714yes—
2005C4⋊C4C23×D1714yes—
2006C4⋊C4C23×D1714yes—
2007C4⋊C4C23×D1714yes—
2008C4⋊C4C23×D1714yes—
2009C22⋊C4—174no—
2010C22⋊C4—174no—
2011C22⋊C4—174no—
2012C22⋊C4—174no—
2013C22⋊C4—174no—
2014C22⋊C4—174no—
2015C22⋊C4—174no—
2016C22⋊C4—172no—
2017C22⋊C4—172no—
2018C22⋊C4—172no—
2019C22⋊C4—172no—
2020C22⋊C4—174no—
2021C22⋊C4—174no—
2022C22⋊C4—174no—
2023C22⋊C4—172no—
2024C22⋊C4—172no—
2025C22⋊C4—172no—
2026C22⋊C4—172no—
2027C22⋊C4—174no—
2028C22⋊C4—174no—
2029C22⋊C4—174no—
2030C22⋊C4—174no—
2031C22⋊C4—172no—
2032C22⋊C4—172no—
2033C22⋊C4—172no—
2034C22⋊C4—172no—
2035C22⋊C4—174no—
2036C22⋊C4—174no—
2037C22⋊C4—174no—
2038C22⋊C4—174no—
2039C22⋊C4—172no—
2040C22⋊C4—172no—
2041C22⋊C4—174no—
2042C22⋊C4—174no—
2043C22⋊C4—174no—
2044C22⋊C4—174no—
2045C22⋊C4—174no—
2046C22⋊C4—174no—
2047C22⋊C4—172no—
2048C22⋊C4—172no—
2049C22⋊C4—174no—
2050C22⋊C4—174no—
2051C22⋊C4—174no—
2052C22⋊C4—174no—
2053C22⋊C4—174no—
2054C22⋊C4C23×D1714yes—
2055C22⋊C4C23×D1714yes—
2056C22⋊C4C23×D1714yes—
2057C22⋊C4C23×D1714yes—
2058C22⋊C4C23×D1714yes—
2059C22⋊C4C23×D1714yes—
2060C22⋊C4C23×D1714yes—
2061C22⋊C4C23×D1712yes—
2062C22⋊C4C23×D1712yes—
2063C22⋊C4C23×D1712yes—
2064C22⋊C4C23×D1712yes—
2065C22⋊C4C23×D1714yes—
2066C22⋊C4C23×D1714yes—
2067C42—174no—
2068C42—174no—
2069C42—174no—
2070C42—174no—
2071C42—174no—
2072C42—174no—
2073C42—174no—
2074C42C23×D1711yescharacteristic
2075C42C23×D1711yescharacteristic
2076C42C23×D1711yescharacteristic
2077C42C23×D1711yescharacteristic
2078C42C23×D1714yes—
2079C42C23×D1714yes—
2080C42C23×D1712yes—
2081C42C23×D1714yes—
2082C42C23×D1712yes—
2083C23—22no—
2084C23—42no—
2085C23—172no—
2086C23—172no—
2087C23—172no—
2088C23—174no—
2089C23—172no—
2090C23—344no—
2091C23—344no—
2092C23—344no—
2093C23—348no—
2094C23—344no—
2095C23—344no—
2096C23—681no—
2097C23—682no—
2098C23—681no—
2099C23—682no—
2100C23—682no—
2101C23—682no—
2102C23—684no—
2103C23—684no—
2104C23—682no—
2105C23—682no—
2106C23—684no—
2107C23—684no—
2108C23—684no—
2109C23—6816no—
2110C23C24×D1711yescharacteristic
2111C23C24×D1711yescharacteristic
2112C23C24×D1714yes—
2113C23C24×D1711yescharacteristic
2114Q8—24no—
2115Q8—44no—
2116Q8—344no—
2117Q8—681no—
2118Q8—682no—
2119Q8—681no—
2120Q8—684no—
2121Q8—684no—
2122Q8—684no—
2123D4—28no—
2124D4—24no—
2125D4—44no—
2126D4—44no—
2127D4—44no—
2128D4—344no—
2129D4—344no—
2130D4—348no—
2131D4—344no—
2132D4—344no—
2133D4—348no—
2134D4—348no—
2135D4—344no—
2136D4—681no—
2137D4—682no—
2138D4—681no—
2139D4—684no—
2140D4—684no—
2141D4—682no—
2142D4—684no—
2143D4—682no—
2144D4—684no—
2145D4—682no—
2146D4—684no—
2147D4—682no—
2148D4—684no—
2149D4—682no—
2150D4—682no—
2151D4—684no—
2152D4—682no—
2153D4—682no—
2154D4—684no—
2155D4—684no—
2156D4—684no—
2157D4—684no—
2158D4—684no—
2159D4—684no—
2160D4—684no—
2161D4—684no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—28no—
2168C2×C4—42no—
2169C2×C4—44no—
2170C2×C4—42no—
2171C2×C4—44no—
2172C2×C4—174no—
2173C2×C4—174no—
2174C2×C4—172no—
2175C2×C4—172no—
2176C2×C4—174no—
2177C2×C4—172no—
2178C2×C4—172no—
2179C2×C4—348no—
2180C2×C4—344no—
2181C2×C4—344no—
2182C2×C4—344no—
2183C2×C4—344no—
2184C2×C4—344no—
2185C2×C4—344no—
2186C2×C4—344no—
2187C2×C4—344no—
2188C2×C4—344no—
2189C2×C4—344no—
2190C2×C4—348no—
2191C2×C4—682no—
2192C2×C4—682no—
2193C2×C4—682no—
2194C2×C4—682no—
2195C2×C4—684no—
2196C2×C4—684no—
2197C2×C4—684no—
2198C2×C4—684no—
2199C2×C4—684no—
2200C2×C4—684no—
2201C2×C4—684no—
2202C2×C4—684no—
2203C2×C4—684no—
2204C2×C4—681no—
2205C2×C4—682no—
2206C2×C4—681no—
2207C2×C4—684no—
2208C2×C4—684no—
2209C2×C4#1058769614yes—
2210C2×C4C24×D1712yes—
2211C2×C4C24×D1714yes—
2212C2×C4C24×D1714yes—
2213C2×C4C24×D1712yes—
2214C2×C4C24×D1712yes—
2215C2×C4C24×D1712yes—
2216C2×C4C24×D1714yes—
2217C2×C4C24×D1711yescharacteristic
2218C2×C4C24×D1711yescharacteristic
2219C2×C4C24×D1711yescharacteristic
2220C2×C4C24×D1711yescharacteristic
2221C22—22no—
2222C22—21no—
2223C22—21no—
2224C22—24no—
2225C22—24no—
2226C22—24no—
2227C22—22no—
2228C22—22no—
2229C22—44no—
2230C22—174no—
2231C22—342no—
2232C22—342no—
2233C22—342no—
2234C22—342no—
2235C22—342no—
2236C22—344no—
2237C22—342no—
2238C22—342no—
2239C22—344no—
2240C22—344no—
2241C22—342no—
2242C22—342no—
2243C22—342no—
2244C22—342no—
2245C22—688no—
2246C22—684no—
2247C22—688no—
2248C22—684no—
2249C22—1364no—
2250C22—1368no—
2251C22—1368no—
2252C22C2×#1058769612yes—
2253C22C25×D1711yescharacteristic
2254C4—21no—
2255C4—21no—
2256C4—24no—
2257C4—22no—
2258C4—22no—
2259C4—24no—
2260C4—22no—
2261C4—24no—
2262C4—22no—
2263C4—342no—
2264C4—342no—
2265C4—342no—
2266C4—342no—
2267C4—344no—
2268C4—344no—
2269C4—344no—
2270C4C2×#1058769612yes—
2271C4C2×#1058769612yes—
2272C2—22no—
2273C2—41no—
2274C2—41no—
2275C2—44no—
2276C2—344no—
2277C2—682no—
2278C2—682no—
2279C2—684no—
2280C2—682no—
2281C2C22×#1058769611yescharacteristic
2282C2D17×#58512yes—
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC17×#3455C2
hypercenter#3455D17
hypocenterC17#62729
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #14543106C2semidirect
2. #14543096C2semidirect
3. #14543083C2semidirect
4. #14543073C2semidirect
5. #14543056C2semidirect
6. #14543046C2semidirect
7. #14543043C2semidirect
8. #14543032C2semidirect
9. #14543022C2semidirect
10. #14543009C2semidirect
11. #14542991C2semidirect
12. #14542972C2semidirect
13. #14542952C2semidirect
14. #14542935C2semidirect
15. #14542923C2semidirect
16. #14542390C2semidirect
17. #14542351C2semidirect
18. #14542348C2semidirect
19. #41×D68C2semidirect
20. #14542270C2semidirect
21. #14542205C2semidirect
22. #14542194C2semidirect
23. #14542174C2semidirect
24. #14542114C2semidirect
25. C2×#11763321C2semidirect
26. D17×#525C2semidirect
27. C17×#3455C2semidirect
28. C22×#63252C22semidirect
29. C2×#41×D17C22semidirect
30. C2×#41×D17C22semidirect
31. C23×C4×D17C22semidirect
32. #11763563C22semidirect
33. #11763561C22semidirect
34. #11763561C22semidirect
35. #11763557C22semidirect
36. #11763556C22semidirect
37. #11763556C22semidirect
38. #11763555C22semidirect
39. #11763555C22semidirect
40. #11763553C22semidirect
41. #11763551C22semidirect
42. #11763550C22semidirect
43. #11763550C22semidirect
44. #11763549C22semidirect
45. #11763549C22semidirect
46. #11763547C22semidirect
47. #11763547C22semidirect
48. #11763541C22semidirect
49. #11763533C22semidirect
50. #11763532C22semidirect
51. #11763525C22semidirect
52. #11763524C22semidirect
53. #11763520C22semidirect
54. #11763519C22semidirect
55. #11763517C22semidirect
56. #11763515C22semidirect
57. #11763512C22semidirect
58. #11763512C22semidirect
59. #11763512C22semidirect
60. #11763511C22semidirect
61. #11763510C22semidirect
62. #11763510C22semidirect
63. #11763509C22semidirect
64. #11763509C22semidirect
65. #11763501C22semidirect
66. #11763500C22semidirect
67. #11763500C22semidirect
68. #11763499C22semidirect
69. #11763497C22semidirect
70. #11763497C22semidirect
71. #11763488C22semidirect
72. #11763488C22semidirect
73. #11763486C22semidirect
74. #11763486C22semidirect
75. #11763484C22semidirect
76. #11763484C22semidirect
77. #11763482C22semidirect
78. #11763482C22semidirect
79. #11763481C22semidirect
80. #11763479C22semidirect
81. Q8×D68C22semidirect
82. #11763474C22semidirect
83. #11763471C22semidirect
84. #11763471C22semidirect
85. #11763467C22semidirect
86. #11763467C22semidirect
87. #11763464C22semidirect
88. #11763463C22semidirect
89. #11763463C22semidirect
90. #11763462C22semidirect
91. #11763462C22semidirect
92. #11763459C22semidirect
93. #11763455C22semidirect
94. #11763454C22semidirect
95. #11763454C22semidirect
96. #11763454C22semidirect
97. #11763454C22semidirect
98. #11763452C22semidirect
99. #11763452C22semidirect
100. #11763452C22semidirect
101. #11763451C22semidirect
102. #11763451C22semidirect
103. #11763450C22semidirect
104. #11763450C22semidirect
105. #11763448C22semidirect
106. #11763448C22semidirect
107. D4×D68C22semidirect
108. D4×D68C22semidirect
109. #11763444C22semidirect
110. #11763443C22semidirect
111. #11763443C22semidirect
112. #11763439C22semidirect
113. #11763434C22semidirect
114. #11763432C22semidirect
115. #11763430C22semidirect
116. #11763430C22semidirect
117. #11763428C22semidirect
118. #11763425C22semidirect
119. #11763425C22semidirect
120. #11763421C22semidirect
121. #11763421C22semidirect
122. #11763415C22semidirect
123. #11763414C22semidirect
124. #11763414C22semidirect
125. #11763412C22semidirect
126. #11763411C22semidirect
127. #11763411C22semidirect
128. #11763407C22semidirect
129. #11763407C22semidirect
130. #11763406C22semidirect
131. #11763403C22semidirect
132. #11763403C22semidirect
133. #11763400C22semidirect
134. #11763400C22semidirect
135. #11763399C22semidirect
136. #11763398C22semidirect
137. #11763398C22semidirect
138. #11763398C22semidirect
139. #11763398C22semidirect
140. #11763397C22semidirect
141. #11763396C22semidirect
142. #11763395C22semidirect
143. #11763395C22semidirect
144. #11763393C22semidirect
145. #11763393C22semidirect
146. #11763389C22semidirect
147. #11763389C22semidirect
148. #11763389C22semidirect
149. #11763388C22semidirect
150. #11763388C22semidirect
151. #11763382C22semidirect
152. #11763382C22semidirect
153. #11763381C22semidirect
154. #11763377C22semidirect
155. #11763375C22semidirect
156. #11763375C22semidirect
157. #11763375C22semidirect
158. #11763374C22semidirect
159. #11763370C22semidirect
160. #11763370C22semidirect
161. #11763370C22semidirect
162. #11763369C22semidirect
163. #11763367C22semidirect
164. #11763366C22semidirect
165. #11763359C22semidirect
166. #11763359C22semidirect
167. #11763356C22semidirect
168. #11763356C22semidirect
169. #11763356C22semidirect
170. #11763346C22semidirect
171. #11763346C22semidirect
172. #11763346C22semidirect
173. #11763343C22semidirect
174. #11763337C22semidirect
175. #11763337C22semidirect
176. #11763337C22semidirect
177. #11763337C22semidirect
178. #11763322C22semidirect
179. #11763322C22semidirect
181. #11763321C22semidirect
182. #11763321C22semidirect
183. #11763321C22semidirect
184. #11763321C22semidirect
185. #11763321C22semidirect
186. #11763321C22semidirect
187. #11763321C22semidirect
188. #11763321C22semidirect
189. #11763321C22semidirect
190. #11763321C22semidirect
191. #11763321C22semidirect
192. #11763321C22semidirect
193. #11763321C22semidirect
194. #11763320C22semidirect
195. #11763319C22semidirect
196. #11763319C22semidirect
197. #11763318C22semidirect
198. #11763318C22semidirect
199. #11763318C22semidirect
200. #11763318C22semidirect
201. #11763318C22semidirect
202. #11763318C22semidirect
203. #11763317C22semidirect
204. #11763316C22semidirect
205. #11763316C22semidirect
206. #11763315C22semidirect
207. C2×#10587572C22semidirect
208. #123×D17C22semidirect
209. C2×#10587583C22semidirect
210. C22⋊Q8×D17C22semidirect
211. C22⋊Q8×D17C22semidirect
212. C2×#10587581C22semidirect
213. #121×D17C22semidirect
214. #121×D17C22semidirect
215. C2×#10587568C22semidirect
216. #120×D17C22semidirect
217. C4×#63256C22semidirect
218. C4×#63252C22semidirect
219. C4×#63252C22semidirect
220. C2×C4×D68C22semidirect
221. C2×C4×D68C22semidirect
222. C2×C4×D68C22semidirect
223. C4×D4×D17C22semidirect
224. C4×D4×D17C22semidirect
225. C4×D4×D17C22semidirect
226. #117×D17C22semidirect
227. #117×D17C22semidirect
228. C17×#542C22semidirect
229. C17×#542C22semidirect
230. C17×#541C22semidirect
231. C17×#541C22semidirect
232. C17×#540C22semidirect
233. C17×#540C22semidirect
234. C17×#539C22semidirect
235. C17×#538C22semidirect
236. C17×#533C22semidirect
237. C17×#532C22semidirect
238. C17×#529C22semidirect
239. C17×#529C22semidirect
240. C17×#525C22semidirect
241. C4×#41×C17C22semidirect
242. C2×C17×#117C22semidirect
252. C2×#63256C23semidirect
254. C2×Q8×D17C23semidirect
258. C2×#63254C23semidirect
265. C2×D4×D17C23semidirect
276. C2×#63252C23semidirect
292. C22×C4×D17C23semidirect
294. C17×C4⋊Q8C23semidirect
295. C17×C4⋊Q8C23semidirect
296. C17×#127C23semidirect
299. C17×#126C23semidirect
300. C17×#126C23semidirect
301. C17×#125C23semidirect
302. C17×#125C23semidirect
303. C17×#125C23semidirect
304. C17×#125C23semidirect
307. C17×#124C23semidirect
311. C17×#123C23semidirect
312. C17×#123C23semidirect
316. C17×C22⋊Q8C23semidirect
317. C17×C22⋊Q8C23semidirect
324. C4×Q8×C17C23semidirect
325. C4×Q8×C17C23semidirect
326. C4×Q8×C17C23semidirect
331. C4×D4×C17C23semidirect
332. C4×D4×C17C23semidirect
333. C4×D4×C17C23semidirect
341. C17×#117C23semidirect
346. C2×C42×C17C23semidirect
350. #10587633C23semidirect
354. #10587632C23semidirect
355. #10587632C23semidirect
356. #10587632C23semidirect
357. #10587632C23semidirect
358. Q8×Dic17C23semidirect
367. #10587625C23semidirect
372. #10587624C23semidirect
373. #10587624C23semidirect
374. #10587624C23semidirect
382. #10587623C23semidirect
387. D4×Dic17C23semidirect
394. #10587616C23semidirect
395. #10587616C23semidirect
398. #10587615C23semidirect
406. C4×C22⋊D17C23semidirect
407. C4×C22⋊D17C23semidirect
408. C4×C22⋊D17C23semidirect
414. C2×#63227C23semidirect
416. #10587612C23semidirect
419. C2×C4⋊Dic17C23semidirect
423. #10587610C23semidirect
427. #10587584C23semidirect
428. #10587584C23semidirect
429. #10587584C23semidirect
430. #10587584C23semidirect
431. #10587584C23semidirect
432. #10587584C23semidirect
433. #10587584C23semidirect
445. #10587583C23semidirect
446. #10587583C23semidirect
447. #10587583C23semidirect
448. #10587583C23semidirect
449. #10587583C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
456. #10587582C23semidirect
457. #10587582C23semidirect
458. #10587582C23semidirect
459. #10587582C23semidirect
477. #10587581C23semidirect
478. #10587581C23semidirect
479. #10587581C23semidirect
480. #10587581C23semidirect
481. #10587581C23semidirect
491. #10587580C23semidirect
492. #10587580C23semidirect
493. #10587580C23semidirect
494. #10587580C23semidirect
495. #10587580C23semidirect
496. #10587580C23semidirect
497. #10587580C23semidirect
503. #10587579C23semidirect
507. #10587578C23semidirect
508. #10587578C23semidirect
509. #10587578C23semidirect
510. #10587578C23semidirect
515. C4⋊C4×D17C23semidirect
516. C4⋊C4×D17C23semidirect
517. C4⋊C4×D17C23semidirect
518. #10587576C23semidirect
519. #10587576C23semidirect
520. #10587576C23semidirect
521. #10587575C23semidirect
522. #10587575C23semidirect
523. #10587575C23semidirect
524. #10587575C23semidirect
525. #10587574C23semidirect
526. #10587574C23semidirect
527. #10587574C23semidirect
539. #10587572C23semidirect
540. #10587572C23semidirect
541. #10587572C23semidirect
548. #10587571C23semidirect
549. #10587571C23semidirect
550. #10587571C23semidirect
551. #10587571C23semidirect
565. #10587570C23semidirect
566. #10587570C23semidirect
567. #10587570C23semidirect
575. #10587569C23semidirect
576. #10587569C23semidirect
577. #10587569C23semidirect
595. #10587568C23semidirect
596. #10587568C23semidirect
597. #10587568C23semidirect
603. #10587567C23semidirect
611. C22⋊C4×D17C23semidirect
614. #10587565C23semidirect
615. #10587565C23semidirect
618. #10587564C23semidirect
619. #10587564C23semidirect
620. #10587564C23semidirect
621. #10587564C23semidirect
625. #10587562C23semidirect
628. #10587561C23semidirect
629. #10587561C23semidirect
631. #10587560C23semidirect
653. C4×D68C23semidirect
654. C4×D68C23semidirect
655. C4×D68C23semidirect
656. C4×D68C23semidirect
657. C4×D68C23semidirect
658. C4×D68C23semidirect
659. C4×D68C23semidirect
662. #10587558C23semidirect
663. #10587558C23semidirect
664. #10587558C23semidirect
666. C42×D17C23semidirect
667. C42×D17C23semidirect
668. #10587556C23semidirect
669. #10587556C23semidirect
670. #10587556C23semidirect
671. #10587555C23semidirect
672. #10587555C23semidirect
673. #10587555C23semidirect
674. C4×Dic34C23semidirect
675. C4×Dic34C23semidirect
676. C4×Dic34C23semidirect
677. C4×Dic34C23semidirect
1103. #3455D17semidirect
1250. #542C2×D17semidirect
1251. #542C2×D17semidirect
1254. #541C2×D17semidirect
1255. #541C2×D17semidirect
1262. #540C2×D17semidirect
1263. #540C2×D17semidirect
1271. #539C2×D17semidirect
1283. #538C2×D17semidirect
1303. #533C2×D17semidirect
1309. #532C2×D17semidirect
1318. #529C2×D17semidirect
1319. #529C2×D17semidirect
1349. #525C2×D17semidirect
1363. C4×#41C2×D17semidirect
1372. C2×#117C2×D17semidirect
1441. C4⋊Q8C22×D17semidirect
1442. C4⋊Q8C22×D17semidirect
1448. #127C22×D17semidirect
1467. #126C22×D17semidirect
1468. #126C22×D17semidirect
1479. #125C22×D17semidirect
1480. #125C22×D17semidirect
1481. #125C22×D17semidirect
1482. #125C22×D17semidirect
1502. #124C22×D17semidirect
1551. #123C22×D17semidirect
1552. #123C22×D17semidirect
1599. C22⋊Q8C22×D17semidirect
1600. C22⋊Q8C22×D17semidirect
1700. C4×Q8C22×D17semidirect
1701. C4×Q8C22×D17semidirect
1702. C4×Q8C22×D17semidirect
1760. C4×D4C22×D17semidirect
1761. C4×D4C22×D17semidirect
1762. C4×D4C22×D17semidirect
1786. #117C22×D17semidirect
1818. C2×C42C22×D17semidirect
1819. C17#62729semidirect

Maximal subgroups

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

subgroupindex
#145431062
#145430962
#145430832
#145430732
#145430562
#145430462
#145430432
#145430322
#145430222
#145430092
#145429912
#145429722
#145429522
#145429352
#145429232
#145423902
#145423512
#145423482
#41×D682
#145422702
#145422052
#145421942
#145421742
#145421142
C2×#117633212
D17×#5252
C17×#34552
#6272917