Finite Group Databasebeta

← D17×#3552 #17941919

Subgroups — D17×#3552 #17941919

Order 4352.

7086 conjugacy classes of subgroups.

The subgroup lattice has 2610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543230C211yesmaximal, characteristic, complemented
2#14543229C211yesmaximal, characteristic, complemented
3#14543228C212yesmaximal, complemented
4#14543227C212yesmaximal, complemented
5#14543226C211yesmaximal, characteristic, complemented
6#14543225C211yesmaximal, characteristic, complemented
7#14543224C212yesmaximal, complemented
8#14543223C212yesmaximal, complemented
9#14543222C211yesmaximal, characteristic, complemented
10#14543221C211yesmaximal, characteristic, complemented
11#14543220C212yesmaximal, complemented
12#14543219C212yesmaximal, complemented
13#14543218C214yesmaximal, complemented
14#14543217C214yesmaximal, complemented
15#14543216C212yesmaximal, complemented
16#14543215C212yesmaximal, complemented
17#14543214C211yesmaximal, characteristic, complemented
18D17×#563C214yesmaximal, complemented
19D17×#557C211yesmaximal, characteristic, complemented
20D17×#556C211yesmaximal, characteristic, complemented
21D17×#554C212yesmaximal, complemented
22D17×#553C212yesmaximal, complemented
23D4×Q8×D17C211yesmaximal, characteristic, complemented
24D4×Q8×D17C212yesmaximal, complemented
25D17×#548C212yesmaximal, complemented
26D17×#547C211yesmaximal, characteristic, complemented
27D17×#544C212yesmaximal, complemented
28D17×#542C212yesmaximal, complemented
29D17×#541C212yesmaximal, complemented
30D17×#539C214yesmaximal, complemented
31D17×#536C212yesmaximal, complemented
32C2×C4⋊Q8×D17C211yesmaximal, characteristic, complemented
33D17×#529C211yesmaximal, characteristic, complemented
34D17×#529C211yesmaximal, characteristic, complemented
35C17×#3552C211yesmaximal, characteristic, complemented
36C2×#41×D17C2212yes—
37C22×Q8×D17C2212yes—
38C22×Q8×D17C2212yes—
39#11763563C2214yescomplemented
40#11763563C2214yescomplemented
41#11763562C2214yescomplemented
42#11763562C2214yescomplemented
43#11763561C2214yescomplemented
44#11763561C2214yescomplemented
45#11763561C2214yescomplemented
46#11763561C2214yescomplemented
47#11763560C2214yescomplemented
48#11763560C2214yescomplemented
49#11763560C2214yescomplemented
50#11763560C2214yescomplemented
51#11763559C2214yescomplemented
52#11763558C2214yescomplemented
53#11763558C2214yescomplemented
54#11763538C2211yescharacteristic, complemented
55#11763537C2212yescomplemented
56#11763537C2211yescharacteristic, complemented
57#11763536C2214yescomplemented
58#11763536C2212yescomplemented
59#11763535C2212yescomplemented
60#11763534C2212yescomplemented
61#11763534C2211yescharacteristic, complemented
62#11763533C2211yescharacteristic, complemented
63#11763532C2211yescharacteristic, complemented
64#11763531C2212yescomplemented
65#11763530C2212yescomplemented
66#11763529C2211yescharacteristic, complemented
67#11763528C2212yescomplemented
68#11763527C2212yescomplemented
69#11763526C2214yescomplemented
70#11763520C2212yescomplemented
71#11763519C2212yescomplemented
72#11763518C2214yescomplemented
73#11763517C2212yescomplemented
74#11763517C2212yescomplemented
75#11763516C2212yescomplemented
76#11763515C2214yescomplemented
77#11763514C2212yescomplemented
78#11763514C2212yescomplemented
79#11763513C2214yescomplemented
80#11763513C2214yescomplemented
81#11763512C2212yescomplemented
82#11763511C2212yescomplemented
83#11763510C2214yescomplemented
84#11763509C2212yescomplemented
85#11763508C2214yescomplemented
86#11763507C2212yescomplemented
87#11763506C2212yescomplemented
88#11763505C2212yescomplemented
89#11763504C2214yescomplemented
90#11763503C2212yescomplemented
91#11763502C2214yescomplemented
92Q8×D68C2212yescomplemented
93Q8×D68C2211yescharacteristic, complemented
94D4×Dic34C2212yescomplemented
95D4×Dic34C2214yescomplemented
96D4×Dic34C2212yescomplemented
97D4×Dic34C2211yescharacteristic, complemented
98#11763474C2211yescharacteristic, complemented
99#11763474C2212yescomplemented
100#11763474C2214yescomplemented
101#11763474C2212yescomplemented
102Q8×C22⋊D17C2212yescomplemented
103Q8×C22⋊D17C2212yescomplemented
104Q8×C22⋊D17C2212yescomplemented
105#11763472C2212yescomplemented
106#11763472C2214yescomplemented
107#11763472C2214yescomplemented
108#11763472C2214yescomplemented
109#11763472C2212yescomplemented
110#11763472C2212yescomplemented
111#11763471C2212yescomplemented
112#11763470C2212yescomplemented
113#11763469C2214yescomplemented
114#11763469C2212yescomplemented
115#11763468C2214yescomplemented
116#11763468C2212yescomplemented
117#11763467C2212yescomplemented
118#11763467C2214yescomplemented
119#11763466C2212yescomplemented
120#11763465C2212yescomplemented
121#11763465C2214yescomplemented
122#11763464C2211yescharacteristic, complemented
123#11763463C2211yescharacteristic, complemented
124#11763462C2211yescharacteristic, complemented
125#11763461C2212yescomplemented
126#11763460C2212yescomplemented
127#11763459C2212yescomplemented
128#11763458C2212yescomplemented
129#11763457C2214yescomplemented
130#11763440C2212yescomplemented
131#11763439C2214yescomplemented
132#11763439C2212yescomplemented
133#11763439C2212yescomplemented
134#11763438C2214yescomplemented
135#11763438C2214yescomplemented
136#11763437C2212yescomplemented
137#11763437C2212yescomplemented
138#11763436C2214yescomplemented
139#11763436C2212yescomplemented
140#11763436C2212yescomplemented
141#11763433C2212yescomplemented
142#11763432C2212yescomplemented
143#11763431C2212yescomplemented
144#11763430C2212yescomplemented
145#11763429C2214yescomplemented
146#11763428C2212yescomplemented
147#11763427C2214yescomplemented
148#11763426C2212yescomplemented
149#11763425C2214yescomplemented
150#11763424C2212yescomplemented
151#11763423C2214yescomplemented
152#11763422C2212yescomplemented
153#11763421C2212yescomplemented
154#11763420C2212yescomplemented
155#11763419C2212yescomplemented
156#11763419C2212yescomplemented
157#11763418C2214yescomplemented
158#11763418C2214yescomplemented
159#11763417C2212yescomplemented
160#11763417C2212yescomplemented
161#11763416C2214yescomplemented
162#11763416C2214yescomplemented
163#11763408C2214yescomplemented
164#11763407C2214yescomplemented
165#11763407C2214yescomplemented
166#11763406C2214yescomplemented
167#11763405C2214yescomplemented
168#11763405C2214yescomplemented
169#11763404C2214yescomplemented
170#11763403C2214yescomplemented
171#11763403C2214yescomplemented
172#11763402C2214yescomplemented
173#11763402C2214yescomplemented
174#11763401C2214yescomplemented
175#11763401C2214yescomplemented
176#11763400C2214yescomplemented
177#11763400C2214yescomplemented
178#11763385C2212yescomplemented
179#11763384C2212yescomplemented
180#11763384C2212yescomplemented
181#11763383C2212yescomplemented
182#11763382C2214yescomplemented
183#11763382C2214yescomplemented
184#11763381C2214yescomplemented
185#11763381C2214yescomplemented
186#11763380C2212yescomplemented
187#11763379C2212yescomplemented
188#11763379C2212yescomplemented
189C2×#10587555C2211yescharacteristic, complemented
190C2×#10587574C2212yescomplemented
191C2×#10587574C2212yescomplemented
192C2×#10587630C2212yescomplemented
193C4⋊Q8×D17C2212yes—
194C4⋊Q8×D17C2212yes—
195C4⋊Q8×D17C2211yescharacteristic
196C4⋊Q8×D17C2212yes—
197C4⋊Q8×D17C2214yes—
198C4⋊Q8×D17C2212yes—
199C4⋊Q8×D17C2212yes—
200C4⋊Q8×D17C2211yescharacteristic
201C4⋊Q8×D17C2211yescharacteristic, complemented
202C4⋊Q8×D17C2212yescomplemented
203C4⋊Q8×D17C2212yescomplemented
204C4⋊Q8×D17C2212yescomplemented
205C4⋊Q8×D17C2211yescharacteristic, complemented
206#11763346C2211yescharacteristic, complemented
207#11763346C2211yescharacteristic, complemented
208#11763345C2211yescharacteristic, complemented
209#11763345C2211yescharacteristic, complemented
210#11763344C2211yescharacteristic, complemented
211#11763344C2211yescharacteristic, complemented
212#11763343C2211yescharacteristic, complemented
213#11763343C2211yescharacteristic, complemented
214#11763342C2212yescomplemented
215#11763342C2212yescomplemented
216#11763341C2211yescharacteristic, complemented
217#11763341C2211yescharacteristic, complemented
218#11763340C2211yescharacteristic, complemented
219#11763340C2211yescharacteristic, complemented
220#11763339C2212yescomplemented
221#11763339C2212yescomplemented
222#11763338C2211yescharacteristic, complemented
223#11763338C2211yescharacteristic, complemented
224#11763337C2212yescomplemented
225#11763337C2212yescomplemented
226#11763336C2212yescomplemented
227#11763336C2212yescomplemented
228#126×D17C2214yes—
229#126×D17C2214yes—
230#126×D17C2212yes—
231#126×D17C2212yes—
232#126×D17C2214yes—
233#125×D17C2214yes—
234#125×D17C2212yes—
235#125×D17C2214yes—
236#125×D17C2214yes—
237#125×D17C2211yescharacteristic
238#125×D17C2211yescharacteristic
239#124×D17C2211yescharacteristic
240#124×D17C2212yes—
241#124×D17C2214yes—
242#124×D17C2211yescharacteristic
243#123×D17C2214yes—
244#123×D17C2214yes—
245#123×D17C2212yes—
246#123×D17C2212yes—
247#123×D17C2214yes—
248C22⋊Q8×D17C2214yes—
249C22⋊Q8×D17C2214yes—
250C22⋊Q8×D17C2214yes—
251C22⋊Q8×D17C2214yes—
252C22⋊Q8×D17C2214yes—
253C22⋊Q8×D17C2214yes—
254C22⋊Q8×D17C2212yes—
255C22⋊Q8×D17C2212yes—
256C22⋊Q8×D17C2212yes—
257C22⋊Q8×D17C2211yescharacteristic
258C22⋊Q8×D17C2211yescharacteristic
259#121×D17C2214yes—
260#121×D17C2212yes—
261#121×D17C2211yescharacteristic
262#121×D17C2211yescharacteristic
263C4×Q8×D17C2212yes—
264C4×Q8×D17C2212yes—
265C4×Q8×D17C2211yescharacteristic
266C4×Q8×D17C2211yescharacteristic
267C4×Q8×D17C2212yes—
268C4×D4×D17C2214yes—
269C4×D4×D17C2214yes—
270C4×D4×D17C2212yes—
271C4×D4×D17C2211yescharacteristic
272C4×D4×D17C2211yescharacteristic
273C4×D4×D17C2212yes—
274C4×D4×D17C2212yes—
275#117×D17C2212yes—
276#117×D17C2212yes—
277#117×D17C2212yes—
278C2×C4⋊C4×D17C2212yes—
279C2×C4⋊C4×D17C2212yes—
280C2×C4⋊C4×D17C2212yes—
281C2×C42×D17C2211yescharacteristic
282C17×#563C2214yescomplemented
283C17×#557C2211yescharacteristic, complemented
284C17×#556C2211yescharacteristic, complemented
285C17×#554C2212yescomplemented
286C17×#553C2212yescomplemented
287D4×Q8×C17C2211yescharacteristic, complemented
288D4×Q8×C17C2212yescomplemented
289C17×#548C2212yescomplemented
290C17×#547C2211yescharacteristic, complemented
291C17×#544C2212yescomplemented
292C17×#542C2212yescomplemented
293C17×#541C2212yescomplemented
294C17×#539C2214yescomplemented
295C17×#536C2212yescomplemented
296C2×C17×C4⋊Q8C2211yescharacteristic, complemented
297C17×#529C2211yescharacteristic, complemented
298C17×#529C2211yescharacteristic, complemented
299C2×#41×C17C2312yes—
300C22×Q8×C17C2312yes—
301C22×Q8×C17C2312yes—
302#41×D17—48no—
303C2×#63256C2312yes—
304C2×Q8×D17—48no—
305C2×Q8×D17—48no—
306C2×Q8×D17C2311yescharacteristic
307C2×Q8×D17C2311yescharacteristic
308C2×Q8×D17C2312yes—
309C2×Q8×D17C2312yes—
310C2×Q8×D17C2312yes—
311C2×Q8×D17C2314yes—
312C2×Q8×D17C2312yes—
313C2×Q8×D17C2314yes—
314C2×Q8×D17C2312yes—
315C2×Q8×D17C2312yes—
316C2×Q8×D17C2314yes—
317C2×Q8×D17C2314yes—
318C2×#63254C2314yes—
319C2×#63254C2312yes—
320C2×D4×D17C2312yes—
321C2×D4×D17C2312yes—
322C2×D4×D17C2311yescharacteristic
323C2×D4×D17C2311yescharacteristic
324C2×D4×D17C2314yes—
325C2×#63252C2314yes—
326C2×#63252C2312yes—
327C22×C4×D17C2311yescharacteristic
328C22×C4×D17C2311yescharacteristic
329C22×C4×D17C2311yescharacteristic
330C22×C4×D17C2312yes—
331C22×C4×D17C2312yes—
332C22×C4×D17C2314yes—
333C22×C4×D17C2314yes—
334C22×C4×D17C2314yes—
335C22×Dic34C2312yes—
336C22×Dic34C2314yes—
337C22×Dic34C2312yes—
338C22×Dic34C2314yes—
339C17×C4⋊Q8C2311yescharacteristic
340C17×C4⋊Q8C2311yescharacteristic
341C17×C4⋊Q8C2312yes—
342C17×C4⋊Q8C2312yes—
343C17×C4⋊Q8C2314yes—
344C17×C4⋊Q8C2312yes—
345C17×C4⋊Q8C2312yes—
346C17×C4⋊Q8C2312yes—
347C17×#126C2312yes—
348C17×#126C2312yes—
349C17×#126C2314yes—
350C17×#126C2314yes—
351C17×#126C2314yes—
352C17×#125C2311yescharacteristic
353C17×#125C2311yescharacteristic
354C17×#125C2314yes—
355C17×#125C2314yes—
356C17×#125C2314yes—
357C17×#125C2312yes—
358C17×#124C2312yes—
359C17×#124C2314yes—
360C17×#124C2311yescharacteristic
361C17×#124C2311yescharacteristic
362C17×#123C2314yes—
363C17×#123C2312yes—
364C17×#123C2312yes—
365C17×#123C2314yes—
366C17×#123C2314yes—
367C17×C22⋊Q8C2312yes—
368C17×C22⋊Q8C2312yes—
369C17×C22⋊Q8C2314yes—
370C17×C22⋊Q8C2311yescharacteristic
371C17×C22⋊Q8C2314yes—
372C17×C22⋊Q8C2314yes—
373C17×C22⋊Q8C2314yes—
374C17×C22⋊Q8C2311yescharacteristic
375C17×C22⋊Q8C2314yes—
376C17×C22⋊Q8C2314yes—
377C17×C22⋊Q8C2312yes—
378C17×#121C2312yes—
379C17×#121C2311yescharacteristic
380C17×#121C2314yes—
381C17×#121C2311yescharacteristic
382C4×Q8×C17C2312yes—
383C4×Q8×C17C2311yescharacteristic
384C4×Q8×C17C2312yes—
385C4×Q8×C17C2311yescharacteristic
386C4×Q8×C17C2312yes—
387C4×D4×C17C2311yescharacteristic
388C4×D4×C17C2311yescharacteristic
389C4×D4×C17C2312yes—
390C4×D4×C17C2314yes—
391C4×D4×C17C2314yes—
392C4×D4×C17C2312yes—
393C4×D4×C17C2312yes—
394C17×#117C2312yes—
395C17×#117C2312yes—
396C17×#117C2312yes—
397C2×C4⋊C4×C17C2312yes—
398C2×C4⋊C4×C17C2312yes—
399C2×C4⋊C4×C17C2312yes—
400C2×C42×C17C2311yescharacteristic
401#10587633C2312yes—
402#10587633C2314yes—
403#10587633C2311yescharacteristic
404#10587633C2311yescharacteristic
405#10587632C2312yes—
406#10587632C2312yes—
407#10587632C2314yes—
408#10587632C2311yescharacteristic
409#10587632C2314yes—
410#10587632C2314yes—
411#10587632C2314yes—
412#10587632C2314yes—
413#10587632C2311yescharacteristic
414#10587632C2312yes—
415#10587632C2314yes—
416Q8×Dic17C2312yes—
417Q8×Dic17C2312yes—
418Q8×Dic17C2311yescharacteristic
419Q8×Dic17C2312yes—
420Q8×Dic17C2311yescharacteristic
421#10587630C2312yes—
422#10587630C2314yes—
423#10587630C2312yes—
424#10587630C2312yes—
425#10587630C2312yes—
426#10587630C2314yes—
427#10587630C2314yes—
428#10587630C2314yes—
429#10587630C2312yes—
430#10587630C2312yes—
431#10587630C2314yes—
432#10587625C2314yes—
433#10587625C2312yes—
434#10587625C2314yes—
435#10587625C2314yes—
436#10587625C2312yes—
437#10587624C2312yes—
438#10587624C2311yescharacteristic
439#10587624C2314yes—
440#10587624C2311yescharacteristic
441#10587622C2312yes—
442#10587622C2314yes—
443#10587622C2311yescharacteristic
444#10587622C2311yescharacteristic
445#10587621C2314yes—
446#10587621C2314yes—
447#10587621C2312yes—
448#10587621C2312yes—
449#10587621C2314yes—
450D4×Dic17C2311yescharacteristic
451D4×Dic17C2311yescharacteristic
452D4×Dic17C2312yes—
453D4×Dic17C2314yes—
454D4×Dic17C2314yes—
455D4×Dic17C2312yes—
456D4×Dic17C2312yes—
457#10587616C2312yes—
458#10587616C2311yescharacteristic
459#10587616C2314yes—
460#10587616C2311yescharacteristic
461#10587615C2314yes—
462#10587615C2314yes—
463#10587615C2312yes—
464#10587615C2312yes—
465#10587615C2314yes—
466C4×C22⋊D17C2312yes—
467C4×C22⋊D17C2312yes—
468C4×C22⋊D17C2312yes—
469C4×C22⋊D17C2314yes—
470C4×C22⋊D17C2312yes—
471C4×C22⋊D17C2314yes—
472C4×C22⋊D17C2314yes—
473C4×C22⋊D17C2314yes—
474C4×C22⋊D17C2314yes—
475C4×C22⋊D17C2312yes—
476C4×C22⋊D17C2312yes—
477#10587612C2312yes—
478#10587612C2312yes—
479#10587612C2312yes—
480C2×C4⋊Dic17C2312yes—
481C2×C4⋊Dic17C2312yes—
482C2×C4⋊Dic17C2312yes—
483#10587610C2312yes—
484#10587610C2312yes—
485#10587610C2314yes—
486#10587610C2311yescharacteristic
487#10587610C2314yes—
488#10587610C2314yes—
489#10587610C2314yes—
490#10587610C2311yescharacteristic
491#10587610C2312yes—
492#10587610C2314yes—
493#10587610C2314yes—
494C2×#63225C2314yes—
495C2×#63225C2314yes—
496C2×#63225C2314yes—
497C2×C4×Dic17C2311yescharacteristic
498C2×C4×Dic17C2311yescharacteristic
499C2×C4×Dic17C2311yescharacteristic
500#10587584C2314yes—
501#10587584C2314yes—
502#10587584C2314yes—
503#10587584C2314yes—
504#10587584C2314yes—
505#10587584C2314yes—
506#10587584C2312yes—
507#10587584C2312yes—
508#10587584C2312yes—
509#10587584C2312yes—
510#10587584C2312yes—
511#10587584C2312yes—
512#10587584C2314yes—
513#10587584C2314yes—
514#10587584C2314yes—
515#10587583C2312yes—
516#10587583C2312yes—
517#10587583C2314yes—
518#10587583C2311yescharacteristic
519#10587583C2314yes—
520#10587583C2314yes—
521#10587583C2314yes—
522#10587583C2311yescharacteristic
523#10587583C2312yes—
524#10587583C2314yes—
525#10587583C2314yes—
526#10587582C2314yes—
527#10587582C2314yes—
528#10587582C2314yes—
529#10587582C2314yes—
530#10587582C2312yes—
531#10587582C2314yes—
532#10587582C2314yes—
533#10587582C2314yes—
534#10587582C2314yes—
535#10587582C2314yes—
536#10587582C2314yes—
537#10587582C2312yes—
538#10587582C2314yes—
539#10587582C2314yes—
540#10587582C2314yes—
541#10587582C2314yes—
542#10587582C2314yes—
543#10587581C2312yes—
544#10587581C2311yescharacteristic
545#10587581C2314yes—
546#10587581C2311yescharacteristic
547#10587580C2314yes—
548#10587580C2314yes—
549#10587580C2314yes—
550#10587580C2314yes—
551#10587580C2312yes—
552#10587580C2312yes—
553#10587580C2312yes—
554#10587580C2312yes—
555#10587580C2314yes—
556#10587580C2314yes—
557#10587579C2311yescharacteristic
558#10587579C2311yescharacteristic
559#10587579C2312yes—
560#10587579C2314yes—
561#10587579C2312yes—
562#10587579C2314yes—
563#10587579C2312yes—
564#10587578C2312yes—
565#10587578C2312yes—
566#10587578C2312yes—
567#10587578C2312yes—
568#10587578C2312yes—
569#10587578C2312yes—
570C4⋊C4×D17C2314yes—
571C4⋊C4×D17C2312yes—
572C4⋊C4×D17C2312yes—
573C4⋊C4×D17C2312yes—
574C4⋊C4×D17C2314yes—
575C4⋊C4×D17C2312yes—
576C4⋊C4×D17C2311yescharacteristic
577C4⋊C4×D17C2312yes—
578C4⋊C4×D17C2312yes—
579C4⋊C4×D17C2314yes—
580C4⋊C4×D17C2312yes—
581C4⋊C4×D17C2314yes—
582C4⋊C4×D17C2314yes—
583C4⋊C4×D17C2312yes—
584C4⋊C4×D17C2312yes—
585C4⋊C4×D17C2314yes—
586C4⋊C4×D17C2312yes—
587C4⋊C4×D17C2311yescharacteristic
588C4⋊C4×D17C2312yes—
589C4⋊C4×D17C2312yes—
590C4⋊C4×D17C2312yes—
591C4⋊C4×D17C2312yes—
592C4⋊C4×D17C2311yescharacteristic
593C4⋊C4×D17C2314yes—
594C4⋊C4×D17C2312yes—
595C4⋊C4×D17C2314yes—
596C4⋊C4×D17C2312yes—
597C4⋊C4×D17C2311yescharacteristic
598C4⋊C4×D17C2314yes—
599C4⋊C4×D17C2314yes—
600C4⋊C4×D17C2314yes—
601C4⋊C4×D17C2312yes—
602C4⋊C4×D17C2312yes—
603#10587576C2312yes—
604#10587576C2312yes—
605#10587576C2314yes—
606#10587576C2314yes—
607#10587576C2314yes—
608#10587576C2314yes—
609#10587576C2311yescharacteristic
610#10587576C2311yescharacteristic
611#10587576C2311yescharacteristic
612#10587576C2311yescharacteristic
613#10587576C2314yes—
614#10587576C2314yes—
615#10587575C2314yes—
616#10587575C2314yes—
617#10587575C2314yes—
618#10587575C2314yes—
619#10587575C2314yes—
620#10587575C2314yes—
621#10587575C2314yes—
622#10587575C2314yes—
623#10587575C2314yes—
624#10587575C2314yes—
625#10587575C2312yes—
626#10587575C2312yes—
627#10587575C2312yes—
628#10587575C2312yes—
629#10587575C2314yes—
630#10587575C2314yes—
631#10587575C2314yes—
632#10587575C2314yes—
633#10587574C2312yes—
634#10587574C2312yes—
635#10587574C2314yes—
636#10587574C2312yes—
637#10587574C2314yes—
638#10587574C2314yes—
639#10587574C2314yes—
640#10587574C2312yes—
641#10587574C2312yes—
642#10587574C2312yes—
643#10587574C2314yes—
644#10587574C2314yes—
645#10587574C2314yes—
646#10587574C2312yes—
647#10587574C2314yes—
648#10587574C2312yes—
649#10587574C2314yes—
650#10587574C2314yes—
651#10587574C2312yes—
652#10587574C2314yes—
653#10587574C2312yes—
654#10587573C2314yes—
655#10587573C2312yes—
656#10587573C2314yes—
657#10587573C2312yes—
658#10587573C2312yes—
659#10587573C2311yescharacteristic
660#10587573C2314yes—
661#10587573C2312yes—
662#10587573C2312yes—
663#10587573C2311yescharacteristic
664#10587572C2314yes—
665#10587572C2314yes—
666#10587572C2312yes—
667#10587572C2312yes—
668#10587572C2314yes—
669#10587571C2314yes—
670#10587571C2314yes—
671#10587571C2314yes—
672#10587571C2314yes—
673#10587571C2314yes—
674#10587571C2314yes—
675#10587571C2312yes—
676#10587571C2312yes—
677#10587571C2312yes—
678#10587571C2312yes—
679#10587570C2314yes—
680#10587570C2312yes—
681#10587570C2314yes—
682#10587570C2314yes—
683#10587570C2312yes—
684#10587569C2314yes—
685#10587569C2314yes—
686#10587569C2314yes—
687#10587569C2314yes—
688#10587569C2312yes—
689#10587569C2312yes—
690#10587569C2312yes—
691#10587569C2312yes—
692#10587569C2314yes—
693#10587569C2314yes—
694#10587567C2312yes—
695#10587567C2312yes—
696#10587567C2312yes—
697#10587567C2314yes—
698#10587567C2312yes—
699#10587567C2314yes—
700#10587567C2314yes—
701#10587567C2314yes—
702#10587567C2314yes—
703#10587567C2312yes—
704#10587567C2312yes—
705C22⋊C4×D17C2314yes—
706C22⋊C4×D17C2312yes—
707C22⋊C4×D17C2312yes—
708C22⋊C4×D17C2312yes—
709C22⋊C4×D17C2312yes—
710C22⋊C4×D17C2312yes—
711C22⋊C4×D17C2312yes—
712C22⋊C4×D17C2314yes—
713C22⋊C4×D17C2314yes—
714C22⋊C4×D17C2312yes—
715C22⋊C4×D17C2312yes—
716C22⋊C4×D17C2314yes—
717C22⋊C4×D17C2312yes—
718C22⋊C4×D17C2312yes—
719#10587565C2314yes—
720#10587565C2314yes—
721#10587565C2314yes—
722#10587565C2314yes—
723#10587565C2314yes—
724#10587565C2314yes—
725#10587565C2312yes—
726#10587565C2312yes—
727#10587565C2312yes—
728#10587565C2312yes—
729#10587565C2312yes—
730#10587565C2312yes—
731#10587565C2314yes—
732#10587565C2314yes—
733#10587565C2314yes—
734#10587564C2314yes—
735#10587564C2314yes—
736#10587564C2314yes—
737#10587564C2314yes—
738#10587564C2312yes—
739#10587564C2314yes—
740#10587564C2314yes—
741#10587564C2314yes—
742#10587564C2314yes—
743#10587564C2314yes—
744#10587564C2314yes—
745#10587564C2312yes—
746#10587564C2314yes—
747#10587564C2314yes—
748#10587564C2314yes—
749#10587564C2314yes—
750#10587564C2314yes—
751#10587563C2314yes—
752#10587563C2312yes—
753#10587563C2312yes—
754#10587563C2312yes—
755#10587563C2312yes—
756#10587562C2314yes—
757#10587562C2314yes—
758#10587562C2312yes—
759#10587562C2312yes—
760#10587562C2314yes—
761#10587561C2312yes—
762#10587561C2314yes—
763#10587561C2311yescharacteristic
764#10587561C2311yescharacteristic
765C4×D68C2311yescharacteristic
766C4×D68C2311yescharacteristic
767C4×D68C2312yes—
768C4×D68C2314yes—
769C4×D68C2314yes—
770C4×D68C2312yes—
771C4×D68C2312yes—
772#10587558C2314yes—
773#10587558C2312yes—
774#10587558C2312yes—
775#10587558C2312yes—
776#10587558C2312yes—
777C42×D17C2311yescharacteristic
778C42×D17C2311yescharacteristic
779C42×D17C2311yescharacteristic
780C42×D17C2311yescharacteristic
781C42×D17C2311yescharacteristic
782C42×D17C2311yescharacteristic
783C42×D17C2311yescharacteristic
784C42×D17C2311yescharacteristic
785C42×D17C2312yes—
786C42×D17C2312yes—
787C42×D17C2314yes—
788C42×D17C2314yes—
789#10587556C2312yes—
790#10587556C2314yes—
791#10587556C2314yes—
792#10587556C2311yescharacteristic
793#10587556C2311yescharacteristic
794#10587556C2314yes—
795#10587555C2311yescharacteristic
796#10587555C2312yes—
797#10587555C2311yescharacteristic
798#10587555C2312yes—
799#10587555C2314yes—
800#10587555C2312yes—
801#10587555C2312yes—
802#10587555C2312yes—
803C4×Dic34C2312yes—
804C4×Dic34C2314yes—
805C4×Dic34C2314yes—
806C4×Dic34C2312yes—
807C4×Dic34C2311yescharacteristic
808C4×Dic34C2312yes—
809C4×Dic34C2314yes—
810C4×Dic34C2312yes—
811C4×Dic34C2312yes—
812C4×Dic34C2311yescharacteristic
813C23×D17C2412yes—
814C23×D17C2412yes—
815C23×D17C2411yescharacteristic
816#41×C17—44no—
817C2×Q8×C17—44no—
818C2×Q8×C17—44no—
819C2×Q8×C17C2411yescharacteristic
820C2×Q8×C17C2412yes—
821C2×Q8×C17C2411yescharacteristic
822C2×Q8×C17C2412yes—
823C2×Q8×C17C2414yes—
824C2×Q8×C17C2414yes—
825C2×D4×C17C2412yes—
826C2×D4×C17C2412yes—
827C2×D4×C17C2411yescharacteristic
828C2×D4×C17C2411yescharacteristic
829C2×D4×C17C2414yes—
830C22×C4×C17C2412yes—
831C22×C4×C17C2411yescharacteristic
832C22×C4×C17C2411yescharacteristic
833C22×C4×C17C2412yes—
834C22×C4×C17C2411yescharacteristic
835C22×C4×C17C2414yes—
836C22×C4×C17C2414yes—
837C22×C4×C17C2414yes—
838C2×C22⋊D17C2412yes—
839C2×C22⋊D17C2412yes—
840C2×C22⋊D17C2412yes—
841C2×C22⋊D17C2412yes—
842C2×C22⋊D17C2412yes—
843C2×C22⋊D17C2412yes—
844C2×C22⋊D17C2414yes—
845C2×C22⋊D17C2414yes—
846C22×Dic17C2411yescharacteristic
847C22×Dic17C2412yes—
848C22×Dic17C2412yes—
849C22×Dic17C2411yescharacteristic
850C22×Dic17C2411yescharacteristic
851C22×Dic17C2414yes—
852C22×Dic17C2414yes—
853C22×Dic17C2414yes—
854#63256—44no—
855Q8×D17—28no—
856Q8×D17—24no—
857Q8×D17—28no—
858Q8×D17—24no—
859Q8×D17—48no—
860Q8×D17—48no—
861Q8×D17—44no—
862Q8×D17—44no—
863Q8×D17—44no—
864Q8×D17—44no—
865Q8×D17—48no—
866Q8×D17—48no—
867#63254—44no—
868#63254—48no—
869D4×D17—28no—
870D4×D17—28no—
871D4×D17—24no—
872D4×D17—24no—
873D4×D17—48no—
874#63252—48no—
875#63252—44no—
876C2×D68C2411yescharacteristic
877C2×D68C2411yescharacteristic
878C2×D68C2412yes—
879C2×D68C2412yes—
880C2×D68C2414yes—
881C2×C4×D17—24no—
882C2×C4×D17—24no—
883C2×C4×D17—28no—
884C2×C4×D17—24no—
885C2×C4×D17—28no—
886C2×C4×D17—48no—
887C2×C4×D17—48no—
888C2×C4×D17—48no—
889C2×C4×D17C2412yes—
890C2×C4×D17C2414yes—
891C2×C4×D17C2414yes—
892C2×C4×D17C2412yes—
893C2×C4×D17C2412yes—
894C2×C4×D17C2412yes—
895C2×C4×D17C2411yescharacteristic
896C2×C4×D17C2411yescharacteristic
897C2×C4×D17C2411yescharacteristic
898C2×C4×D17C2411yescharacteristic
899C2×C4×D17C2411yescharacteristic
900C2×C4×D17C2411yescharacteristic
901C2×C4×D17C2411yescharacteristic
902C2×C4×D17C2412yes—
903C2×C4×D17C2411yescharacteristic
904C2×C4×D17C2411yescharacteristic
905C2×C4×D17C2411yescharacteristic
906C2×C4×D17C2412yes—
907C2×C4×D17C2412yes—
908C2×C4×D17C2412yes—
909C2×C4×D17C2412yes—
910C2×C4×D17C2412yes—
911C2×C4×D17C2414yes—
912C2×C4×D17C2414yes—
913C2×C4×D17C2414yes—
914C2×C4×D17C2414yes—
915C2×C4×D17C2414yes—
916C2×C4×D17C2414yes—
917C2×C4×D17C2411yescharacteristic
918C2×C4×D17C2411yescharacteristic
919C2×Dic34—48no—
920C2×Dic34—48no—
921C2×Dic34—44no—
922C2×Dic34—44no—
923C2×Dic34C2412yes—
924C2×Dic34C2411yescharacteristic
925C2×Dic34C2414yes—
926C2×Dic34C2412yes—
927C2×Dic34C2412yes—
928C2×Dic34C2414yes—
929C2×Dic34C2411yescharacteristic
930C2×Dic34C2412yes—
931C2×Dic34C2414yes—
932C2×Dic34C2414yes—
933C2×Dic34C2414yes—
934C2×Dic34C2414yes—
935C2×Dic34C2414yes—
936C2×Dic34C2414yes—
937C4⋊C4×C17C2414yes—
938C4⋊C4×C17C2412yes—
939C4⋊C4×C17C2414yes—
940C4⋊C4×C17C2414yes—
941C4⋊C4×C17C2411yescharacteristic
942C4⋊C4×C17C2412yes—
943C4⋊C4×C17C2412yes—
944C4⋊C4×C17C2412yes—
945C4⋊C4×C17C2414yes—
946C4⋊C4×C17C2412yes—
947C4⋊C4×C17C2411yescharacteristic
948C4⋊C4×C17C2412yes—
949C4⋊C4×C17C2414yes—
950C4⋊C4×C17C2414yes—
951C4⋊C4×C17C2414yes—
952C4⋊C4×C17C2414yes—
953C4⋊C4×C17C2411yescharacteristic
954C4⋊C4×C17C2412yes—
955C4⋊C4×C17C2412yes—
956C4⋊C4×C17C2412yes—
957C4⋊C4×C17C2412yes—
958C4⋊C4×C17C2412yes—
959C4⋊C4×C17C2411yescharacteristic
960C4⋊C4×C17C2412yes—
961C22⋊C4×C17C2412yes—
962C22⋊C4×C17C2412yes—
963C22⋊C4×C17C2412yes—
964C22⋊C4×C17C2412yes—
965C22⋊C4×C17C2412yes—
966C22⋊C4×C17C2414yes—
967C22⋊C4×C17C2414yes—
968C22⋊C4×C17C2414yes—
969C22⋊C4×C17C2412yes—
970C22⋊C4×C17C2412yes—
971C22⋊C4×C17C2414yes—
972C22⋊C4×C17C2412yes—
973C22⋊C4×C17C2412yes—
974C22⋊C4×C17C2412yes—
975C42×C17C2414yes—
976C42×C17C2411yescharacteristic
977C42×C17C2411yescharacteristic
978C42×C17C2412yes—
979C42×C17C2414yes—
980C42×C17C2412yes—
981C42×C17C2411yescharacteristic
982C42×C17C2411yescharacteristic
983C22⋊Dic17C2414yes—
984C22⋊Dic17C2412yes—
985C22⋊Dic17C2412yes—
986C22⋊Dic17C2412yes—
987C22⋊Dic17C2412yes—
988C22⋊Dic17C2412yes—
989C22⋊Dic17C2412yes—
990C22⋊Dic17C2414yes—
991C22⋊Dic17C2414yes—
992C22⋊Dic17C2412yes—
993C22⋊Dic17C2412yes—
994C22⋊Dic17C2414yes—
995C22⋊Dic17C2412yes—
996C22⋊Dic17C2412yes—
997#63227C2412yes—
998#63227C2414yes—
999#63227C2412yes—
1000#63227C2412yes—
1001#63227C2412yes—
1002#63227C2412yes—
1003#63227C2412yes—
1004#63227C2412yes—
1005#63227C2414yes—
1006#63227C2412yes—
1007#63227C2412yes—
1008#63227C2412yes—
1009#63227C2412yes—
1010#63227C2414yes—
1011#63227C2414yes—
1012#63227C2412yes—
1013#63227C2414yes—
1014#63227C2412yes—
1015#63227C2412yes—
1016#63227C2412yes—
1017#63227C2412yes—
1018#63227C2412yes—
1019#63227C2412yes—
1020#63227C2414yes—
1021#63227C2414yes—
1022#63227C2414yes—
1023#63227C2412yes—
1024#63227C2412yes—
1025C4⋊Dic17C2411yescharacteristic
1026C4⋊Dic17C2411yescharacteristic
1027C4⋊Dic17C2412yes—
1028C4⋊Dic17C2414yes—
1029C4⋊Dic17C2411yescharacteristic
1030C4⋊Dic17C2412yes—
1031C4⋊Dic17C2414yes—
1032C4⋊Dic17C2412yes—
1033C4⋊Dic17C2414yes—
1034C4⋊Dic17C2412yes—
1035C4⋊Dic17C2411yescharacteristic
1036C4⋊Dic17C2412yes—
1037C4⋊Dic17C2414yes—
1038C4⋊Dic17C2412yes—
1039C4⋊Dic17C2412yes—
1040C4⋊Dic17C2414yes—
1041C4⋊Dic17C2414yes—
1042C4⋊Dic17C2412yes—
1043C4⋊Dic17C2414yes—
1044C4⋊Dic17C2414yes—
1045C4⋊Dic17C2412yes—
1046C4⋊Dic17C2412yes—
1047C4⋊Dic17C2412yes—
1048C4⋊Dic17C2412yes—
1049#63225C2412yes—
1050#63225C2412yes—
1051#63225C2412yes—
1052#63225C2414yes—
1053#63225C2414yes—
1054#63225C2414yes—
1055#63225C2412yes—
1056#63225C2412yes—
1057#63225C2414yes—
1058#63225C2412yes—
1059#63225C2412yes—
1060#63225C2414yes—
1061#63225C2414yes—
1062#63225C2414yes—
1063#63225C2412yes—
1064#63225C2412yes—
1065#63225C2412yes—
1066#63225C2412yes—
1067#63225C2412yes—
1068#63225C2412yes—
1069#63225C2414yes—
1070#63225C2414yes—
1071#63225C2414yes—
1072#63225C2414yes—
1073#63225C2414yes—
1074#63225C2414yes—
1075#63225C2414yes—
1076#63225C2412yes—
1077#63225C2412yes—
1078#63225C2412yes—
1079#63225C2412yes—
1080#63225C2414yes—
1081#63225C2412yes—
1082#63225C2414yes—
1083#63225C2414yes—
1084#63225C2414yes—
1085#63225C2412yes—
1086#63225C2414yes—
1087#63225C2414yes—
1088#63225C2412yes—
1089C4×Dic17C2411yescharacteristic
1090C4×Dic17C2411yescharacteristic
1091C4×Dic17C2412yes—
1092C4×Dic17C2412yes—
1093C4×Dic17C2414yes—
1094C4×Dic17C2412yes—
1095C4×Dic17C2412yes—
1096C4×Dic17C2412yes—
1097C4×Dic17C2414yes—
1098C4×Dic17C2414yes—
1099C4×Dic17C2411yescharacteristic
1100C4×Dic17C2411yescharacteristic
1101C4×Dic17C2411yescharacteristic
1102C4×Dic17C2411yescharacteristic
1103C4×Dic17C2411yescharacteristic
1104C4×Dic17C2411yescharacteristic
1105C4×Dic17C2411yescharacteristic
1106C4×Dic17C2411yescharacteristic
1107C4×Dic17C2411yescharacteristic
1108C4×Dic17C2411yescharacteristic
1109C4×Dic17C2414yes—
1110C4×Dic17C2414yes—
1111C4×Dic17C2412yes—
1112C4×Dic17C2414yes—
1113C2×#3552—171nomaximal, Sylow
1114C23×C17C2512yes—
1115C23×C17C2512yes—
1116C23×C17C2511yescharacteristic
1117C22×D17—22no—
1118C22×D17—22no—
1119C22×D17—24no—
1120C22×D17—24no—
1121C22×D17—24no—
1122C22×D17—24no—
1123C22×D17—24no—
1124C22×D17—24no—
1125C22×D172−1+414yes—
1126C22×D17C2512yes—
1127C22×D17C2512yes—
1128C22×D17C2511yescharacteristic
1129C22×D17C2511yescharacteristic
1130Q8×C17—22no—
1131Q8×C17—24no—
1132Q8×C17—24no—
1133Q8×C17—22no—
1134Q8×C17—44no—
1135Q8×C17—44no—
1136D4×C17—24no—
1137D4×C17—24no—
1138D4×C17—22no—
1139D4×C17—22no—
1140D4×C17—44no—
1141C2×C4×C17—22no—
1142C2×C4×C17—22no—
1143C2×C4×C17—24no—
1144C2×C4×C17—22no—
1145C2×C4×C17—24no—
1146C2×C4×C17—44no—
1147C2×C4×C17—44no—
1148C2×C4×C17—44no—
1149C2×C4×C17C2512yes—
1150C2×C4×C17C2512yes—
1151C2×C4×C17C2512yes—
1152C2×C4×C17C2511yescharacteristic
1153C2×C4×C17C2511yescharacteristic
1154C2×C4×C17C2512yes—
1155C2×C4×C17C2511yescharacteristic
1156C2×C4×C17C2511yescharacteristic
1157C2×C4×C17C2514yes—
1158C2×C4×C17C2512yes—
1159C2×C4×C17C2514yes—
1160C2×C4×C17C2512yes—
1161C2×C4×C17C2511yescharacteristic
1162C2×C4×C17C2511yescharacteristic
1163C22⋊D17—24no—
1164C22⋊D17—24no—
1165C22⋊D17—24no—
1166C22⋊D17—24no—
1167C22⋊D17—24no—
1168C22⋊D17—24no—
1169C22⋊D17—44no—
1170C22⋊D17—44no—
1171C2×Dic17—22no—
1172C2×Dic17—22no—
1173C2×Dic17—24no—
1174C2×Dic17—22no—
1175C2×Dic17—24no—
1176C2×Dic17—44no—
1177C2×Dic17—44no—
1178C2×Dic17—44no—
1179C2×Dic17C2512yes—
1180C2×Dic17C2511yescharacteristic
1181C2×Dic17C2511yescharacteristic
1182C2×Dic17C2511yescharacteristic
1183C2×Dic17C2512yes—
1184C2×Dic17C2511yescharacteristic
1185C2×Dic17C2514yes—
1186C2×Dic17C2512yes—
1187C2×Dic17C2512yes—
1188C2×Dic17C2512yes—
1189C2×Dic17C2512yes—
1190C2×Dic17C2514yes—
1191C2×Dic17C2511yescharacteristic
1192C2×Dic17C2511yescharacteristic
1193D68—24no—
1194D68—24no—
1195D68—22no—
1196D68—22no—
1197D68—44no—
1198C4×D17—24no—
1199C4×D17—22no—
1200C4×D17—28no—
1201C4×D17—28no—
1202C4×D17—24no—
1203C4×D17—22no—
1204C4×D17—22no—
1205C4×D17—22no—
1206C4×D17—22no—
1207C4×D17—22no—
1208C4×D17—24no—
1209C4×D17—24no—
1210C4×D17—24no—
1211C4×D17—24no—
1212C4×D17—24no—
1213C4×D17—22no—
1214C4×D17—22no—
1215C4×D17—24no—
1216C4×D17—24no—
1217C4×D17—22no—
1218C4×D17—22no—
1219C4×D17—24no—
1220C4×D17—44no—
1221C4×D17—44no—
1222C4×D17—44no—
1223C4×D17—44no—
1224C4×D17—44no—
1225C4×D17—44no—
1226C4×D17H(5,𝔽2)14yes—
1227C4×D172−1+414yes—
1228Dic34—22no—
1229Dic34—24no—
1230Dic34—24no—
1231Dic34—22no—
1232Dic34—24no—
1233Dic34—28no—
1234Dic34—28no—
1235Dic34—24no—
1236Dic34—44no—
1237Dic34—44no—
1238Dic34—44no—
1239Dic34—44no—
1240Dic34—44no—
1241Dic34—44no—
1242#3552—174no—
1243#3552—171no—
1244#3552—171no—
1245#3552—172no—
1246#3552—172no—
1247#3552—171no—
1248#3552—172no—
1249#3552—172no—
1250#3552—171no—
1251#3552—172no—
1252#3552—172no—
1253#3552—172no—
1254#3552—174no—
1255#3552—172no—
1256#3552—171no—
1257#3552—171no—
1258#3552—171no—
1259#3552D1711yescharacteristic, direct product factor
1260C2×#563—174no—
1261C2×#557—171no—
1262C2×#556—171no—
1263C2×#554—172no—
1264C2×#553—172no—
1265C2×D4×Q8—171no—
1266C2×D4×Q8—172no—
1267C2×#548—172no—
1268C2×#547—171no—
1269C2×#544—172no—
1270C2×#542—172no—
1271C2×#541—172no—
1272C2×#539—174no—
1273C2×#536—172no—
1274C22×C4⋊Q8—171no—
1275C2×#529—171no—
1276C2×#529—171no—
1277C22×C17—21no—
1278C22×C17—21no—
1279C22×C17—22no—
1280C22×C17—22no—
1281C22×C17—22no—
1282C22×C17—22no—
1283C22×C17—22no—
1284C22×C17—22no—
1285C22×C17C2×2−1+412yes—
1286C22×C17C2611yescharacteristic
1287C2×D17—21no—
1288C2×D17—21no—
1289C2×D17—28no—
1290C2×D17—22no—
1291C2×D17—22no—
1292C2×D17—22no—
1293C2×D17—22no—
1294C2×D17—22no—
1295C2×D17—22no—
1296C2×D17—48no—
1297C2×D17—48no—
1298C2×D17C2×H(5,𝔽2)12yes—
1299C2×D17C2×2−1+412yes—
1300C2×D17C2×2−1+412yes—
1301C2×D17C2×2−1+412yes—
1302C4×C17—22no—
1303C4×C17—24no—
1304C4×C17—24no—
1305C4×C17—21no—
1306C4×C17—22no—
1307C4×C17—22no—
1308C4×C17—21no—
1309C4×C17—21no—
1310C4×C17—21no—
1311C4×C17—22no—
1312C4×C17—22no—
1313C4×C17—22no—
1314C4×C17C2×H(5,𝔽2)12yes—
1315C4×C17C2×2−1+412yes—
1316Dic17—22no—
1317Dic17—24no—
1318Dic17—24no—
1319Dic17—21no—
1320Dic17—22no—
1321Dic17—22no—
1322Dic17—21no—
1323Dic17—21no—
1324Dic17—21no—
1325Dic17—22no—
1326Dic17—22no—
1327Dic17—22no—
1328Dic17C2×H(5,𝔽2)12yes—
1329Dic17C2×2−1+412yes—
1330C22×#41—172no—
1331C23×Q8—172no—
1332C23×Q8—172no—
1333#563—174no—
1334#563—174no—
1335#563—174no—
1336#563—174no—
1337#563—174no—
1338#563—174no—
1339#563—174no—
1340#563—174no—
1341#563—174no—
1342#563—174no—
1343#563—174no—
1344#563—174no—
1345#563—174no—
1346#563—174no—
1347#563—174no—
1348#563C2×D1714yescomplemented
1349#557—172no—
1350#557—171no—
1351#557—174no—
1352#557—172no—
1353#557—172no—
1354#557—172no—
1355#557—171no—
1356#557—171no—
1357#557C2×D1711yescharacteristic, complemented
1358#556—171no—
1359#556—174no—
1360#556—172no—
1361#556—172no—
1362#556—172no—
1363#556—171no—
1364#556—171no—
1365#556—172no—
1366#556C2×D1711yescharacteristic, complemented
1367#554—172no—
1368#554—174no—
1369#554—174no—
1370#554—174no—
1371#554—172no—
1372#554—172no—
1373#554—172no—
1374#554—172no—
1375#554—174no—
1376#554—172no—
1377#554—172no—
1378#554C2×D1712yescomplemented
1379#553—174no—
1380#553—172no—
1381#553—174no—
1382#553—174no—
1383#553—172no—
1384#553—172no—
1385#553—172no—
1386#553—174no—
1387#553—172no—
1388#553—172no—
1389#553—172no—
1390#553C2×D1712yescomplemented
1391D4×Q8—172no—
1392D4×Q8—172no—
1393D4×Q8—172no—
1394D4×Q8—172no—
1395D4×Q8—174no—
1396D4×Q8—172no—
1397D4×Q8—171no—
1398D4×Q8—172no—
1399D4×Q8—172no—
1400D4×Q8—172no—
1401D4×Q8—174no—
1402D4×Q8—174no—
1403D4×Q8—174no—
1404D4×Q8—171no—
1405D4×Q8—172no—
1406D4×Q8—172no—
1407D4×Q8—174no—
1408D4×Q8—172no—
1409D4×Q8—171no—
1410D4×Q8C2×D1711yescharacteristic, complemented
1411D4×Q8C2×D1712yescomplemented
1412#548—172no—
1413#548—172no—
1414#548—174no—
1415#548—172no—
1416#548—172no—
1417#548—174no—
1418#548—174no—
1419#548—172no—
1420#548—172no—
1421#548—174no—
1422#548—172no—
1423#548C2×D1712yescomplemented
1424#547—172no—
1425#547—171no—
1426#547—174no—
1427#547—172no—
1428#547—172no—
1429#547—171no—
1430#547—171no—
1431#547—172no—
1432#547C2×D1711yescharacteristic, complemented
1433#544—174no—
1434#544—172no—
1435#544—172no—
1436#544—174no—
1437#544—172no—
1438#544—172no—
1439#544—174no—
1440#544—174no—
1441#544—172no—
1442#544—172no—
1443#544—172no—
1444#544C2×D1712yescomplemented
1445#542—172no—
1446#542—174no—
1447#542—174no—
1448#542—172no—
1449#542—174no—
1450#542—174no—
1451#542—172no—
1452#542—172no—
1453#542—172no—
1454#542—172no—
1455#542—172no—
1456#542C2×D1712yescomplemented
1457#541—172no—
1458#541—174no—
1459#541—174no—
1460#541—174no—
1461#541—174no—
1462#541—172no—
1463#541—172no—
1464#541—172no—
1465#541—172no—
1466#541—172no—
1467#541—172no—
1468#541C2×D1712yescomplemented
1469#539—174no—
1470#539—174no—
1471#539—174no—
1472#539—174no—
1473#539—174no—
1474#539—174no—
1475#539—174no—
1476#539—174no—
1477#539—174no—
1478#539—174no—
1479#539—174no—
1480#539—174no—
1481#539—174no—
1482#539—174no—
1483#539—174no—
1484#539C2×D1714yescomplemented
1485#536—172no—
1486#536—172no—
1487#536—172no—
1488#536—172no—
1489#536—172no—
1490#536—172no—
1491#536—174no—
1492#536—174no—
1493#536—174no—
1494#536—174no—
1495#536—172no—
1496#536C2×D1712yescomplemented
1497C2×C4⋊Q8—172no—
1498C2×C4⋊Q8—172no—
1499C2×C4⋊Q8—172no—
1500C2×C4⋊Q8—171no—
1501C2×C4⋊Q8—171no—
1502C2×C4⋊Q8—172no—
1503C2×C4⋊Q8—171no—
1504C2×C4⋊Q8—171no—
1505C2×C4⋊Q8—172no—
1506C2×C4⋊Q8—172no—
1507C2×C4⋊Q8—172no—
1508C2×C4⋊Q8—172no—
1509C2×C4⋊Q8—172no—
1510C2×C4⋊Q8—174no—
1511C2×C4⋊Q8—172no—
1512C2×C4⋊Q8—172no—
1513C2×C4⋊Q8—171no—
1514C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1515#529—172no—
1516#529—172no—
1517#529—171no—
1518#529—171no—
1519#529—171no—
1520#529—171no—
1521#529—172no—
1522#529—172no—
1523#529—171no—
1524#529—171no—
1525#529—171no—
1526#529—171no—
1527#529—171no—
1528#529—171no—
1529#529—172no—
1530#529—172no—
1531#529—171no—
1532#529—171no—
1533#529—172no—
1534#529—172no—
1535#529—171no—
1536#529—171no—
1537#529C2×D1711yescharacteristic, complemented
1538#529C2×D1711yescharacteristic, complemented
1539C2×#126—172no—
1540C2×#126—172no—
1541C2×#126—174no—
1542C2×#126—174no—
1543C2×#126—174no—
1544C2×#125—171no—
1545C2×#125—171no—
1546C2×#125—174no—
1547C2×#125—174no—
1548C2×#125—174no—
1549C2×#125—172no—
1550C2×#124—171no—
1551C2×#124—171no—
1552C2×#124—172no—
1553C2×#124—174no—
1554C2×#123—172no—
1555C2×#123—172no—
1556C2×#123—174no—
1557C2×#123—174no—
1558C2×#123—174no—
1559C2×C22⋊Q8—171no—
1560C2×C22⋊Q8—171no—
1561C2×C22⋊Q8—174no—
1562C2×C22⋊Q8—174no—
1563C2×C22⋊Q8—174no—
1564C2×C22⋊Q8—174no—
1565C2×C22⋊Q8—172no—
1566C2×C22⋊Q8—172no—
1567C2×C22⋊Q8—174no—
1568C2×C22⋊Q8—172no—
1569C2×C22⋊Q8—174no—
1570C2×#121—171no—
1571C2×#121—171no—
1572C2×#121—174no—
1573C2×#121—172no—
1574C2×C4×Q8—171no—
1575C2×C4×Q8—171no—
1576C2×C4×Q8—172no—
1577C2×C4×Q8—172no—
1578C2×C4×Q8—172no—
1579C2×C4×D4—171no—
1580C2×C4×D4—171no—
1581C2×C4×D4—172no—
1582C2×C4×D4—172no—
1583C2×C4×D4—174no—
1584C2×C4×D4—174no—
1585C2×C4×D4—172no—
1586C2×#117—172no—
1587C2×#117—172no—
1588C2×#117—172no—
1589C22×C4⋊C4—172no—
1590C22×C4⋊C4—172no—
1591C22×C4⋊C4—172no—
1592C22×C42—171no—
1593C2×C17—22no—
1594C2×C17—42no—
1595C2×C17—42no—
1596C2×C17C22×H(5,𝔽2)11yescharacteristic
1597C2×C17C22×2−1+411yescharacteristic
1598C2×C17C22×2−1+411yescharacteristic
1599D17—22no—
1600D17—42no—
1601D17—42no—
1602D17#355214yesdirect product factor
1603C2×#41—172no—
1604C2×#41—174no—
1605C2×#41—172no—
1606C2×#41—174no—
1607C2×#41—172no—
1608C2×#41—688no—
1609C2×#41C22×D1712yes—
1610C22×Q8—171no—
1611C22×Q8—171no—
1612C22×Q8—172no—
1613C22×Q8—172no—
1614C22×Q8—174no—
1615C22×Q8—174no—
1616C22×Q8—174no—
1617C22×Q8—172no—
1618C22×Q8—172no—
1619C22×Q8—174no—
1620C22×Q8—172no—
1621C22×Q8—172no—
1622C22×Q8—174no—
1623C22×Q8—172no—
1624C22×Q8—174no—
1625C22×Q8—172no—
1626C22×Q8—688no—
1627C22×Q8—688no—
1628C22×Q8C22×D1712yes—
1629C22×Q8C22×D1712yes—
1630C22×D4—172no—
1631C22×D4—172no—
1632C22×D4—171no—
1633C22×D4—171no—
1634C22×D4—174no—
1635C23×C4—171no—
1636C23×C4—171no—
1637C23×C4—172no—
1638C23×C4—172no—
1639C23×C4—171no—
1640C23×C4—174no—
1641C23×C4—174no—
1642C23×C4—174no—
1643C4⋊Q8—172no—
1644C4⋊Q8—172no—
1645C4⋊Q8—174no—
1646C4⋊Q8—172no—
1647C4⋊Q8—172no—
1648C4⋊Q8—174no—
1649C4⋊Q8—172no—
1650C4⋊Q8—172no—
1651C4⋊Q8—174no—
1652C4⋊Q8—174no—
1653C4⋊Q8—174no—
1654C4⋊Q8—174no—
1655C4⋊Q8—174no—
1656C4⋊Q8—174no—
1657C4⋊Q8—172no—
1658C4⋊Q8—172no—
1659C4⋊Q8—172no—
1660C4⋊Q8—172no—
1661C4⋊Q8—172no—
1662C4⋊Q8—172no—
1663C4⋊Q8—174no—
1664C4⋊Q8—172no—
1665C4⋊Q8—172no—
1666C4⋊Q8—174no—
1667C4⋊Q8—174no—
1668C4⋊Q8—174no—
1669C4⋊Q8—172no—
1670C4⋊Q8—172no—
1671C4⋊Q8—174no—
1672C4⋊Q8—174no—
1673C4⋊Q8—174no—
1674C4⋊Q8—174no—
1675C4⋊Q8—172no—
1676C4⋊Q8—172no—
1677C4⋊Q8—171no—
1678C4⋊Q8—171no—
1679C4⋊Q8—172no—
1680C4⋊Q8—172no—
1681C4⋊Q8—172no—
1682C4⋊Q8—174no—
1683C4⋊Q8C22×D1712yes—
1684C4⋊Q8C22×D1712yes—
1685C4⋊Q8C22×D1711yescharacteristic
1686C4⋊Q8C22×D1711yescharacteristic
1687C4⋊Q8C22×D1712yes—
1688C4⋊Q8C22×D1712yes—
1689C4⋊Q8C22×D1712yes—
1690C4⋊Q8C22×D1714yes—
1691#126—172no—
1692#126—172no—
1693#126—172no—
1694#126—172no—
1695#126—172no—
1696#126—172no—
1697#126—174no—
1698#126—174no—
1699#126—174no—
1700#126—174no—
1701#126—174no—
1702#126—174no—
1703#126—174no—
1704#126—174no—
1705#126—174no—
1706#126—172no—
1707#126—172no—
1708#126—172no—
1709#126—172no—
1710#126—172no—
1711#126—172no—
1712#126—174no—
1713#126—174no—
1714#126—174no—
1715#126—174no—
1716#126—174no—
1717#126—174no—
1718#126—174no—
1719#126—174no—
1720#126—174no—
1721#126—172no—
1722#126—172no—
1723#126—174no—
1724#126—174no—
1725#126—174no—
1726#126C22×D1712yes—
1727#126C22×D1712yes—
1728#126C22×D1714yes—
1729#126C22×D1714yes—
1730#126C22×D1714yes—
1731#125—172no—
1732#125—172no—
1733#125—171no—
1734#125—171no—
1735#125—172no—
1736#125—172no—
1737#125—171no—
1738#125—171no—
1739#125—174no—
1740#125—174no—
1741#125—174no—
1742#125—174no—
1743#125—174no—
1744#125—174no—
1745#125—174no—
1746#125—174no—
1747#125—174no—
1748#125—174no—
1749#125—174no—
1750#125—174no—
1751#125—174no—
1752#125—174no—
1753#125—174no—
1754#125—174no—
1755#125—174no—
1756#125—174no—
1757#125—174no—
1758#125—174no—
1759#125—172no—
1760#125—172no—
1761#125—171no—
1762#125—171no—
1763#125—174no—
1764#125—174no—
1765#125—174no—
1766#125—172no—
1767#125C22×D1711yescharacteristic
1768#125C22×D1711yescharacteristic
1769#125C22×D1714yes—
1770#125C22×D1714yes—
1771#125C22×D1714yes—
1772#125C22×D1712yes—
1773#124—171no—
1774#124—171no—
1775#124—172no—
1776#124—174no—
1777#124—171no—
1778#124—171no—
1779#124—172no—
1780#124—174no—
1781#124—172no—
1782#124—172no—
1783#124—172no—
1784#124—172no—
1785#124—174no—
1786#124—174no—
1787#124—174no—
1788#124—174no—
1789#124—174no—
1790#124—174no—
1791#124—171no—
1792#124—171no—
1793#124—172no—
1794#124—174no—
1795#124C22×D1711yescharacteristic
1796#124C22×D1711yescharacteristic
1797#124C22×D1712yes—
1798#124C22×D1714yes—
1799#123—172no—
1800#123—172no—
1801#123—174no—
1802#123—174no—
1803#123—174no—
1804#123—172no—
1805#123—172no—
1806#123—174no—
1807#123—174no—
1808#123—174no—
1809#123—172no—
1810#123—172no—
1811#123—172no—
1812#123—172no—
1813#123—174no—
1814#123—174no—
1815#123—174no—
1816#123—174no—
1817#123—174no—
1818#123—174no—
1819#123—172no—
1820#123—172no—
1821#123—172no—
1822#123—172no—
1823#123—172no—
1824#123—172no—
1825#123—174no—
1826#123—174no—
1827#123—174no—
1828#123—174no—
1829#123—174no—
1830#123—174no—
1831#123—174no—
1832#123—174no—
1833#123—174no—
1834#123C22×D1712yes—
1835#123C22×D1712yes—
1836#123C22×D1714yes—
1837#123C22×D1714yes—
1838#123C22×D1714yes—
1839C22⋊Q8—171no—
1840C22⋊Q8—171no—
1841C22⋊Q8—174no—
1842C22⋊Q8—174no—
1843C22⋊Q8—174no—
1844C22⋊Q8—174no—
1845C22⋊Q8—172no—
1846C22⋊Q8—172no—
1847C22⋊Q8—174no—
1848C22⋊Q8—172no—
1849C22⋊Q8—174no—
1850C22⋊Q8—171no—
1851C22⋊Q8—171no—
1852C22⋊Q8—174no—
1853C22⋊Q8—174no—
1854C22⋊Q8—174no—
1855C22⋊Q8—174no—
1856C22⋊Q8—172no—
1857C22⋊Q8—172no—
1858C22⋊Q8—174no—
1859C22⋊Q8—172no—
1860C22⋊Q8—174no—
1861C22⋊Q8—172no—
1862C22⋊Q8—171no—
1863C22⋊Q8—172no—
1864C22⋊Q8—171no—
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—174no—
1874C22⋊Q8—174no—
1875C22⋊Q8—174no—
1876C22⋊Q8—174no—
1877C22⋊Q8—174no—
1878C22⋊Q8—172no—
1879C22⋊Q8—174no—
1880C22⋊Q8—172no—
1881C22⋊Q8—174no—
1882C22⋊Q8—174no—
1883C22⋊Q8—174no—
1884C22⋊Q8—174no—
1885C22⋊Q8—172no—
1886C22⋊Q8—174no—
1887C22⋊Q8—174no—
1888C22⋊Q8—174no—
1889C22⋊Q8—172no—
1890C22⋊Q8—172no—
1891C22⋊Q8—174no—
1892C22⋊Q8—174no—
1893C22⋊Q8—174no—
1894C22⋊Q8—174no—
1895C22⋊Q8—174no—
1896C22⋊Q8—174no—
1897C22⋊Q8—174no—
1898C22⋊Q8—174no—
1899C22⋊Q8—174no—
1900C22⋊Q8—174no—
1901C22⋊Q8—174no—
1902C22⋊Q8—174no—
1903C22⋊Q8—174no—
1904C22⋊Q8—174no—
1905C22⋊Q8—174no—
1906C22⋊Q8C22×D1711yescharacteristic
1907C22⋊Q8C22×D1711yescharacteristic
1908C22⋊Q8C22×D1714yes—
1909C22⋊Q8C22×D1714yes—
1910C22⋊Q8C22×D1714yes—
1911C22⋊Q8C22×D1714yes—
1912C22⋊Q8C22×D1712yes—
1913C22⋊Q8C22×D1712yes—
1914C22⋊Q8C22×D1714yes—
1915C22⋊Q8C22×D1712yes—
1916C22⋊Q8C22×D1714yes—
1917#121—171no—
1918#121—172no—
1919#121—171no—
1920#121—172no—
1921#121—174no—
1922#121—174no—
1923#121—174no—
1924#121—172no—
1925#121—174no—
1926#121—171no—
1927#121—171no—
1928#121—174no—
1929#121—172no—
1930#121—171no—
1931#121—171no—
1932#121—174no—
1933#121—172no—
1934#121—172no—
1935#121—172no—
1936#121—174no—
1937#121—174no—
1938#121—174no—
1939#121C22×D1711yescharacteristic
1940#121C22×D1711yescharacteristic
1941#121C22×D1714yes—
1942#121C22×D1712yes—
1943C4×Q8—171no—
1944C4×Q8—171no—
1945C4×Q8—172no—
1946C4×Q8—172no—
1947C4×Q8—172no—
1948C4×Q8—172no—
1949C4×Q8—171no—
1950C4×Q8—172no—
1951C4×Q8—171no—
1952C4×Q8—174no—
1953C4×Q8—172no—
1954C4×Q8—174no—
1955C4×Q8—172no—
1956C4×Q8—174no—
1957C4×Q8—172no—
1958C4×Q8—172no—
1959C4×Q8—171no—
1960C4×Q8—172no—
1961C4×Q8—171no—
1962C4×Q8—174no—
1963C4×Q8—172no—
1964C4×Q8—174no—
1965C4×Q8—172no—
1966C4×Q8—174no—
1967C4×Q8—172no—
1968C4×Q8C22×D1711yescharacteristic
1969C4×Q8C22×D1711yescharacteristic
1970C4×Q8C22×D1712yes—
1971C4×Q8C22×D1712yes—
1972C4×Q8C22×D1712yes—
1973C4×D4—171no—
1974C4×D4—171no—
1975C4×D4—172no—
1976C4×D4—172no—
1977C4×D4—174no—
1978C4×D4—174no—
1979C4×D4—172no—
1980C4×D4—172no—
1981C4×D4—172no—
1982C4×D4—172no—
1983C4×D4—172no—
1984C4×D4—172no—
1985C4×D4—172no—
1986C4×D4—174no—
1987C4×D4—174no—
1988C4×D4—174no—
1989C4×D4—174no—
1990C4×D4—174no—
1991C4×D4—171no—
1992C4×D4—171no—
1993C4×D4—172no—
1994C4×D4—172no—
1995C4×D4—174no—
1996C4×D4—174no—
1997C4×D4—172no—
1998C4×D4—172no—
1999C4×D4—172no—
2000C4×D4—172no—
2001C4×D4—172no—
2002C4×D4—172no—
2003C4×D4—172no—
2004C4×D4—174no—
2005C4×D4—174no—
2006C4×D4—174no—
2007C4×D4—174no—
2008C4×D4—174no—
2009C4×D4—171no—
2010C4×D4—171no—
2011C4×D4—172no—
2012C4×D4—172no—
2013C4×D4—174no—
2014C4×D4—174no—
2015C4×D4—172no—
2016C4×D4C22×D1711yescharacteristic
2017C4×D4C22×D1711yescharacteristic
2018C4×D4C22×D1712yes—
2019C4×D4C22×D1712yes—
2020C4×D4C22×D1714yes—
2021C4×D4C22×D1714yes—
2022C4×D4C22×D1712yes—
2023#117—172no—
2024#117—172no—
2025#117—172no—
2026#117—172no—
2027#117—172no—
2028#117—172no—
2029#117—172no—
2030#117—172no—
2031#117—172no—
2032#117—172no—
2033#117—172no—
2034#117—172no—
2035#117—172no—
2036#117—174no—
2037#117—172no—
2038#117—172no—
2039#117—172no—
2040#117—172no—
2041#117—174no—
2042#117C22×D1712yes—
2043#117C22×D1712yes—
2044#117C22×D1712yes—
2045C2×C4⋊C4—174no—
2046C2×C4⋊C4—172no—
2047C2×C4⋊C4—174no—
2048C2×C4⋊C4—172no—
2049C2×C4⋊C4—174no—
2050C2×C4⋊C4—172no—
2051C2×C4⋊C4—171no—
2052C2×C4⋊C4—172no—
2053C2×C4⋊C4—172no—
2054C2×C4⋊C4—174no—
2055C2×C4⋊C4—172no—
2056C2×C4⋊C4—174no—
2057C2×C4⋊C4—174no—
2058C2×C4⋊C4—172no—
2059C2×C4⋊C4—174no—
2060C2×C4⋊C4—172no—
2061C2×C4⋊C4—172no—
2062C2×C4⋊C4—174no—
2063C2×C4⋊C4—172no—
2064C2×C4⋊C4—172no—
2065C2×C4⋊C4—174no—
2066C2×C4⋊C4—172no—
2067C2×C4⋊C4—172no—
2068C2×C4⋊C4—171no—
2069C2×C4⋊C4—172no—
2070C2×C4⋊C4—172no—
2071C2×C4⋊C4—172no—
2072C2×C4⋊C4—172no—
2073C2×C4⋊C4—171no—
2074C2×C4⋊C4—174no—
2075C2×C4⋊C4—172no—
2076C2×C4⋊C4—174no—
2077C2×C4⋊C4—172no—
2078C2×C4⋊C4—171no—
2079C2×C4⋊C4—174no—
2080C2×C4⋊C4—174no—
2081C2×C4⋊C4—174no—
2082C2×C4⋊C4—172no—
2083C2×C4⋊C4—172no—
2084C2×C4⋊C4C22×D1712yes—
2085C2×C4⋊C4C22×D1712yes—
2086C2×C4⋊C4C22×D1712yes—
2087C2×C22⋊C4—174no—
2088C2×C22⋊C4—172no—
2089C2×C22⋊C4—172no—
2090C2×C22⋊C4—172no—
2091C2×C22⋊C4—172no—
2092C2×C22⋊C4—172no—
2093C2×C22⋊C4—172no—
2094C2×C22⋊C4—174no—
2095C2×C22⋊C4—174no—
2096C2×C22⋊C4—172no—
2097C2×C22⋊C4—172no—
2098C2×C22⋊C4—174no—
2099C2×C22⋊C4—172no—
2100C2×C22⋊C4—172no—
2101C2×C42—171no—
2102C2×C42—171no—
2103C2×C42—171no—
2104C2×C42—171no—
2105C2×C42—171no—
2106C2×C42—172no—
2107C2×C42—172no—
2108C2×C42—174no—
2109C2×C42—171no—
2110C2×C42—174no—
2111C2×C42—171no—
2112C2×C42—171no—
2113C2×C42—171no—
2114C2×C42—171no—
2115C2×C42—171no—
2116C2×C42C22×D1711yescharacteristic
2117C17C2×#355211yescharacteristic, complemented, Sylow
2118C24—171no—
2119C24—172no—
2120C24—172no—
2121#41—44no—
2122#41—684no—
2123#41—688no—
2124#41—684no—
2125#41—688no—
2126#41—684no—
2127C2×Q8—44no—
2128C2×Q8—44no—
2129C2×Q8—172no—
2130C2×Q8—171no—
2131C2×Q8—172no—
2132C2×Q8—174no—
2133C2×Q8—171no—
2134C2×Q8—172no—
2135C2×Q8—174no—
2136C2×Q8—172no—
2137C2×Q8—174no—
2138C2×Q8—174no—
2139C2×Q8—174no—
2140C2×Q8—174no—
2141C2×Q8—174no—
2142C2×Q8—174no—
2143C2×Q8—344no—
2144C2×Q8—344no—
2145C2×Q8—348no—
2146C2×Q8—348no—
2147C2×Q8—684no—
2148C2×Q8—684no—
2149C2×Q8—688no—
2150C2×Q8—688no—
2151C2×Q8—688no—
2152C2×Q8—688no—
2153C2×Q8—684no—
2154C2×Q8—684no—
2155C2×Q8—684no—
2156C2×Q8—684no—
2157C2×Q8—688no—
2158C2×Q8—688no—
2159C2×Q8C23×D1711yescharacteristic
2160C2×Q8C23×D1711yescharacteristic
2161C2×Q8C23×D1712yes—
2162C2×Q8C23×D1712yes—
2163C2×Q8C23×D1714yes—
2164C2×Q8C23×D1714yes—
2165C2×D4—172no—
2166C2×D4—172no—
2167C2×D4—172no—
2168C2×D4—172no—
2169C2×D4—172no—
2170C2×D4—172no—
2171C2×D4—174no—
2172C2×D4—174no—
2173C2×D4—172no—
2174C2×D4—172no—
2175C2×D4—171no—
2176C2×D4—171no—
2177C2×D4—174no—
2178C2×D4—344no—
2179C2×D4—344no—
2180C2×D4—348no—
2181C2×D4—348no—
2182C2×D4—688no—
2183C2×D4C23×D1712yes—
2184C2×D4C23×D1712yes—
2185C2×D4C23×D1711yescharacteristic
2186C2×D4C23×D1711yescharacteristic
2187C2×D4C23×D1714yes—
2188C22×C4—171no—
2189C22×C4—171no—
2190C22×C4—171no—
2191C22×C4—171no—
2192C22×C4—171no—
2193C22×C4—172no—
2194C22×C4—172no—
2195C22×C4—174no—
2196C22×C4—174no—
2197C22×C4—174no—
2198C22×C4—172no—
2199C22×C4—172no—
2200C22×C4—172no—
2201C22×C4—171no—
2202C22×C4—171no—
2203C22×C4—172no—
2204C22×C4—171no—
2205C22×C4—171no—
2206C22×C4—171no—
2207C22×C4—171no—
2208C22×C4—171no—
2209C22×C4—171no—
2210C22×C4—171no—
2211C22×C4—171no—
2212C22×C4—172no—
2213C22×C4—174no—
2214C22×C4—174no—
2215C22×C4—172no—
2216C22×C4—172no—
2217C22×C4—172no—
2218C22×C4—172no—
2219C22×C4—172no—
2220C22×C4—174no—
2221C22×C4—174no—
2222C22×C4—174no—
2223C22×C4—174no—
2224C22×C4—174no—
2225C22×C4—174no—
2226C22×C4—344no—
2227C22×C4—348no—
2228C22×C4—344no—
2229C22×C4—348no—
2230C22×C4—344no—
2231C22×C4—688no—
2232C22×C4—688no—
2233C22×C4—688no—
2234C22×C4C23×D1711yescharacteristic
2235C22×C4C23×D1711yescharacteristic
2236C22×C4C23×D1711yescharacteristic
2237C22×C4C23×D1712yes—
2238C22×C4C23×D1712yes—
2239C22×C4C23×D1714yes—
2240C22×C4C23×D1714yes—
2241C22×C4C23×D1714yes—
2242C4⋊C4—172no—
2243C4⋊C4—171no—
2244C4⋊C4—174no—
2245C4⋊C4—172no—
2246C4⋊C4—174no—
2247C4⋊C4—172no—
2248C4⋊C4—174no—
2249C4⋊C4—174no—
2250C4⋊C4—174no—
2251C4⋊C4—174no—
2252C4⋊C4—172no—
2253C4⋊C4—174no—
2254C4⋊C4—174no—
2255C4⋊C4—174no—
2256C4⋊C4—174no—
2257C4⋊C4—174no—
2258C4⋊C4—174no—
2259C4⋊C4—174no—
2260C4⋊C4—172no—
2261C4⋊C4—172no—
2262C4⋊C4—171no—
2263C4⋊C4—172no—
2264C4⋊C4—172no—
2265C4⋊C4—172no—
2266C4⋊C4—172no—
2267C4⋊C4—172no—
2268C4⋊C4—172no—
2269C4⋊C4—172no—
2270C4⋊C4—172no—
2271C4⋊C4—172no—
2272C4⋊C4—172no—
2273C4⋊C4—172no—
2274C4⋊C4—172no—
2275C4⋊C4—172no—
2276C4⋊C4—171no—
2277C4⋊C4—174no—
2278C4⋊C4—174no—
2279C4⋊C4—174no—
2280C4⋊C4—172no—
2281C4⋊C4—172no—
2282C4⋊C4—172no—
2283C4⋊C4—174no—
2284C4⋊C4—174no—
2285C4⋊C4—174no—
2286C4⋊C4—172no—
2287C4⋊C4—172no—
2288C4⋊C4—172no—
2289C4⋊C4—172no—
2290C4⋊C4—171no—
2291C4⋊C4—174no—
2292C4⋊C4—174no—
2293C4⋊C4—174no—
2294C4⋊C4—174no—
2295C4⋊C4—174no—
2296C4⋊C4—174no—
2297C4⋊C4—174no—
2298C4⋊C4—174no—
2299C4⋊C4—174no—
2300C4⋊C4—172no—
2301C4⋊C4—172no—
2302C4⋊C4—172no—
2303C4⋊C4—172no—
2304C4⋊C4—172no—
2305C4⋊C4—172no—
2306C4⋊C4C23×D1711yescharacteristic
2307C4⋊C4C23×D1712yes—
2308C4⋊C4C23×D1712yes—
2309C4⋊C4C23×D1714yes—
2310C4⋊C4C23×D1712yes—
2311C4⋊C4C23×D1714yes—
2312C4⋊C4C23×D1714yes—
2313C4⋊C4C23×D1712yes—
2314C4⋊C4C23×D1711yescharacteristic
2315C4⋊C4C23×D1712yes—
2316C4⋊C4C23×D1712yes—
2317C4⋊C4C23×D1712yes—
2318C4⋊C4C23×D1712yes—
2319C4⋊C4C23×D1711yescharacteristic
2320C4⋊C4C23×D1714yes—
2321C4⋊C4C23×D1712yes—
2322C4⋊C4C23×D1714yes—
2323C4⋊C4C23×D1712yes—
2324C4⋊C4C23×D1711yescharacteristic
2325C4⋊C4C23×D1714yes—
2326C4⋊C4C23×D1714yes—
2327C4⋊C4C23×D1714yes—
2328C4⋊C4C23×D1712yes—
2329C4⋊C4C23×D1712yes—
2330C22⋊C4—174no—
2331C22⋊C4—172no—
2332C22⋊C4—172no—
2333C22⋊C4—172no—
2334C22⋊C4—172no—
2335C22⋊C4—172no—
2336C22⋊C4—172no—
2337C22⋊C4—174no—
2338C22⋊C4—174no—
2339C22⋊C4—172no—
2340C22⋊C4—172no—
2341C22⋊C4—174no—
2342C22⋊C4—172no—
2343C22⋊C4—172no—
2344C22⋊C4—174no—
2345C22⋊C4—174no—
2346C22⋊C4—172no—
2347C22⋊C4—172no—
2348C22⋊C4—172no—
2349C22⋊C4—172no—
2350C22⋊C4—172no—
2351C22⋊C4—172no—
2352C22⋊C4—172no—
2353C22⋊C4—172no—
2354C22⋊C4—172no—
2355C22⋊C4—172no—
2356C22⋊C4—172no—
2357C22⋊C4—172no—
2358C22⋊C4—174no—
2359C22⋊C4—174no—
2360C22⋊C4—174no—
2361C22⋊C4—174no—
2362C22⋊C4—172no—
2363C22⋊C4—172no—
2364C22⋊C4—172no—
2365C22⋊C4—172no—
2366C22⋊C4—174no—
2367C22⋊C4—174no—
2368C22⋊C4—172no—
2369C22⋊C4—172no—
2370C22⋊C4—172no—
2371C22⋊C4—172no—
2372C22⋊C4C23×D1714yes—
2373C22⋊C4C23×D1712yes—
2374C22⋊C4C23×D1712yes—
2375C22⋊C4C23×D1712yes—
2376C22⋊C4C23×D1712yes—
2377C22⋊C4C23×D1712yes—
2378C22⋊C4C23×D1712yes—
2379C22⋊C4C23×D1714yes—
2380C22⋊C4C23×D1714yes—
2381C22⋊C4C23×D1712yes—
2382C22⋊C4C23×D1712yes—
2383C22⋊C4C23×D1714yes—
2384C22⋊C4C23×D1712yes—
2385C22⋊C4C23×D1712yes—
2386C42—171no—
2387C42—171no—
2388C42—171no—
2389C42—171no—
2390C42—171no—
2391C42—171no—
2392C42—171no—
2393C42—171no—
2394C42—171no—
2395C42—171no—
2396C42—171no—
2397C42—171no—
2398C42—172no—
2399C42—172no—
2400C42—172no—
2401C42—172no—
2402C42—172no—
2403C42—172no—
2404C42—174no—
2405C42—174no—
2406C42—174no—
2407C42—174no—
2408C42—174no—
2409C42—174no—
2410C42C23×D1711yescharacteristic
2411C42C23×D1711yescharacteristic
2412C42C23×D1711yescharacteristic
2413C42C23×D1711yescharacteristic
2414C42C23×D1712yes—
2415C42C23×D1712yes—
2416C42C23×D1714yes—
2417C42C23×D1714yes—
2418C23—171no—
2419C23—174no—
2420C23—171no—
2421C23—172no—
2422C23—172no—
2423C23—342no—
2424C23—342no—
2425C23—344no—
2426C23—344no—
2427C23—344no—
2428C23—344no—
2429C23—344no—
2430C23—344no—
2431C23C24×D1712yes—
2432C23C24×D1712yes—
2433C23C24×D1711yescharacteristic
2434Q8—24no—
2435Q8—22no—
2436Q8—24no—
2437Q8—22no—
2438Q8—44no—
2439Q8—44no—
2440Q8—344no—
2441Q8—348no—
2442Q8—348no—
2443Q8—344no—
2444Q8—342no—
2445Q8—344no—
2446Q8—344no—
2447Q8—342no—
2448Q8—684no—
2449Q8—684no—
2450Q8—684no—
2451Q8—684no—
2452Q8—684no—
2453Q8—684no—
2454D4—24no—
2455D4—24no—
2456D4—22no—
2457D4—22no—
2458D4—44no—
2459D4—344no—
2460D4—344no—
2461D4—344no—
2462D4—344no—
2463D4—344no—
2464D4—344no—
2465D4—344no—
2466D4—344no—
2467D4—342no—
2468D4—342no—
2469D4—684no—
2470D4—684no—
2471D4—684no—
2472C2×C4—22no—
2473C2×C4—22no—
2474C2×C4—24no—
2475C2×C4—22no—
2476C2×C4—24no—
2477C2×C4—44no—
2478C2×C4—44no—
2479C2×C4—44no—
2480C2×C4—171no—
2481C2×C4—171no—
2482C2×C4—174no—
2483C2×C4—174no—
2484C2×C4—172no—
2485C2×C4—172no—
2486C2×C4—172no—
2487C2×C4—171no—
2488C2×C4—171no—
2489C2×C4—171no—
2490C2×C4—172no—
2491C2×C4—171no—
2492C2×C4—172no—
2493C2×C4—174no—
2494C2×C4—174no—
2495C2×C4—172no—
2496C2×C4—342no—
2497C2×C4—344no—
2498C2×C4—342no—
2499C2×C4—344no—
2500C2×C4—344no—
2501C2×C4—342no—
2502C2×C4—342no—
2503C2×C4—344no—
2504C2×C4—342no—
2505C2×C4—342no—
2506C2×C4—342no—
2507C2×C4—342no—
2508C2×C4—348no—
2509C2×C4—344no—
2510C2×C4—348no—
2511C2×C4—344no—
2512C2×C4—344no—
2513C2×C4—344no—
2514C2×C4—342no—
2515C2×C4—344no—
2516C2×C4—342no—
2517C2×C4—344no—
2518C2×C4—342no—
2519C2×C4—342no—
2520C2×C4—344no—
2521C2×C4—342no—
2522C2×C4—344no—
2523C2×C4—684no—
2524C2×C4—684no—
2525C2×C4—684no—
2526C2×C4—684no—
2527C2×C4—684no—
2528C2×C4—684no—
2529C2×C4—684no—
2530C2×C4—684no—
2531C2×C4—684no—
2532C2×C4C24×D1712yes—
2533C2×C4C24×D1712yes—
2534C2×C4C24×D1712yes—
2535C2×C4C24×D1711yescharacteristic
2536C2×C4C24×D1711yescharacteristic
2537C2×C4C24×D1711yescharacteristic
2538C2×C4C24×D1712yes—
2539C2×C4C24×D1711yescharacteristic
2540C2×C4C24×D1712yes—
2541C2×C4C24×D1714yes—
2542C2×C4C24×D1714yes—
2543C2×C4C24×D1712yes—
2544C2×C4C24×D1711yescharacteristic
2545C2×C4C24×D1711yescharacteristic
2546C22—21no—
2547C22—21no—
2548C22—22no—
2549C22—22no—
2550C22—22no—
2551C22—22no—
2552C22—22no—
2553C22—22no—
2554C22—172no—
2555C22—172no—
2556C22—172no—
2557C22—172no—
2558C22—348no—
2559C22—341no—
2560C22—341no—
2561C22—342no—
2562C22—342no—
2563C22—342no—
2564C22—342no—
2565C22—342no—
2566C22—342no—
2567C22—688no—
2568C22—688no—
2569C222−1+4×D1712yes—
2570C22C25×D1711yescharacteristic
2571C4—22no—
2572C4—21no—
2573C4—24no—
2574C4—24no—
2575C4—22no—
2576C4—21no—
2577C4—21no—
2578C4—21no—
2579C4—22no—
2580C4—22no—
2581C4—22no—
2582C4—22no—
2583C4—172no—
2584C4—172no—
2585C4—342no—
2586C4—341no—
2587C4—344no—
2588C4—342no—
2589C4—344no—
2590C4—341no—
2591C4—341no—
2592C4—341no—
2593C4—342no—
2594C4—342no—
2595C4—342no—
2596C4—342no—
2597C4H(5,𝔽2)×D1712yes—
2598C42−1+4×D1712yes—
2599C2—22no—
2600C2—42no—
2601C2—42no—
2602C2—174no—
2603C2—342no—
2604C2—682no—
2605C2—682no—
2606C2C2×H(5,𝔽2)×D1711yescharacteristic
2607C2C2×2−1+4×D1711yescharacteristic
2608C2C2×2−1+4×D1711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3552C2
hypercenter#3552D17
hypocenterC17C2×#3552
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #14543230C2semidirect
2. #14543229C2semidirect
3. #14543228C2semidirect
4. #14543227C2semidirect
5. #14543226C2semidirect
6. #14543225C2semidirect
7. #14543224C2semidirect
8. #14543223C2semidirect
9. #14543222C2semidirect
10. #14543221C2semidirect
11. #14543220C2semidirect
12. #14543219C2semidirect
13. #14543218C2semidirect
14. #14543217C2semidirect
15. #14543216C2semidirect
16. #14543215C2semidirect
17. #14543214C2semidirect
18. D17×#563C2semidirect
19. D17×#557C2semidirect
20. D17×#556C2semidirect
21. D17×#554C2semidirect
22. D17×#553C2semidirect
23. D4×Q8×D17C2semidirect
24. D4×Q8×D17C2semidirect
25. D17×#548C2semidirect
26. D17×#547C2semidirect
27. D17×#544C2semidirect
28. D17×#542C2semidirect
29. D17×#541C2semidirect
30. D17×#539C2semidirect
31. D17×#536C2semidirect
32. C2×C4⋊Q8×D17C2semidirect
33. D17×#529C2semidirect
34. D17×#529C2semidirect
35. C17×#3552C2semidirect
39. #11763563C22semidirect
40. #11763563C22semidirect
41. #11763562C22semidirect
42. #11763562C22semidirect
43. #11763561C22semidirect
44. #11763561C22semidirect
45. #11763561C22semidirect
46. #11763561C22semidirect
47. #11763560C22semidirect
48. #11763560C22semidirect
49. #11763560C22semidirect
50. #11763560C22semidirect
51. #11763559C22semidirect
52. #11763558C22semidirect
53. #11763558C22semidirect
54. #11763538C22semidirect
55. #11763537C22semidirect
56. #11763537C22semidirect
57. #11763536C22semidirect
58. #11763536C22semidirect
59. #11763535C22semidirect
60. #11763534C22semidirect
61. #11763534C22semidirect
62. #11763533C22semidirect
63. #11763532C22semidirect
64. #11763531C22semidirect
65. #11763530C22semidirect
66. #11763529C22semidirect
67. #11763528C22semidirect
68. #11763527C22semidirect
69. #11763526C22semidirect
70. #11763520C22semidirect
71. #11763519C22semidirect
72. #11763518C22semidirect
73. #11763517C22semidirect
74. #11763517C22semidirect
75. #11763516C22semidirect
76. #11763515C22semidirect
77. #11763514C22semidirect
78. #11763514C22semidirect
79. #11763513C22semidirect
80. #11763513C22semidirect
81. #11763512C22semidirect
82. #11763511C22semidirect
83. #11763510C22semidirect
84. #11763509C22semidirect
85. #11763508C22semidirect
86. #11763507C22semidirect
87. #11763506C22semidirect
88. #11763505C22semidirect
89. #11763504C22semidirect
90. #11763503C22semidirect
91. #11763502C22semidirect
92. Q8×D68C22semidirect
93. Q8×D68C22semidirect
94. D4×Dic34C22semidirect
95. D4×Dic34C22semidirect
96. D4×Dic34C22semidirect
97. D4×Dic34C22semidirect
98. #11763474C22semidirect
99. #11763474C22semidirect
100. #11763474C22semidirect
101. #11763474C22semidirect
102. Q8×C22⋊D17C22semidirect
103. Q8×C22⋊D17C22semidirect
104. Q8×C22⋊D17C22semidirect
105. #11763472C22semidirect
106. #11763472C22semidirect
107. #11763472C22semidirect
108. #11763472C22semidirect
109. #11763472C22semidirect
110. #11763472C22semidirect
111. #11763471C22semidirect
112. #11763470C22semidirect
113. #11763469C22semidirect
114. #11763469C22semidirect
115. #11763468C22semidirect
116. #11763468C22semidirect
117. #11763467C22semidirect
118. #11763467C22semidirect
119. #11763466C22semidirect
120. #11763465C22semidirect
121. #11763465C22semidirect
122. #11763464C22semidirect
123. #11763463C22semidirect
124. #11763462C22semidirect
125. #11763461C22semidirect
126. #11763460C22semidirect
127. #11763459C22semidirect
128. #11763458C22semidirect
129. #11763457C22semidirect
130. #11763440C22semidirect
131. #11763439C22semidirect
132. #11763439C22semidirect
133. #11763439C22semidirect
134. #11763438C22semidirect
135. #11763438C22semidirect
136. #11763437C22semidirect
137. #11763437C22semidirect
138. #11763436C22semidirect
139. #11763436C22semidirect
140. #11763436C22semidirect
141. #11763433C22semidirect
142. #11763432C22semidirect
143. #11763431C22semidirect
144. #11763430C22semidirect
145. #11763429C22semidirect
146. #11763428C22semidirect
147. #11763427C22semidirect
148. #11763426C22semidirect
149. #11763425C22semidirect
150. #11763424C22semidirect
151. #11763423C22semidirect
152. #11763422C22semidirect
153. #11763421C22semidirect
154. #11763420C22semidirect
155. #11763419C22semidirect
156. #11763419C22semidirect
157. #11763418C22semidirect
158. #11763418C22semidirect
159. #11763417C22semidirect
160. #11763417C22semidirect
161. #11763416C22semidirect
162. #11763416C22semidirect
163. #11763408C22semidirect
164. #11763407C22semidirect
165. #11763407C22semidirect
166. #11763406C22semidirect
167. #11763405C22semidirect
168. #11763405C22semidirect
169. #11763404C22semidirect
170. #11763403C22semidirect
171. #11763403C22semidirect
172. #11763402C22semidirect
173. #11763402C22semidirect
174. #11763401C22semidirect
175. #11763401C22semidirect
176. #11763400C22semidirect
177. #11763400C22semidirect
178. #11763385C22semidirect
179. #11763384C22semidirect
180. #11763384C22semidirect
181. #11763383C22semidirect
182. #11763382C22semidirect
183. #11763382C22semidirect
184. #11763381C22semidirect
185. #11763381C22semidirect
186. #11763380C22semidirect
187. #11763379C22semidirect
188. #11763379C22semidirect
189. C2×#10587555C22semidirect
190. C2×#10587574C22semidirect
191. C2×#10587574C22semidirect
192. C2×#10587630C22semidirect
201. C4⋊Q8×D17C22semidirect
202. C4⋊Q8×D17C22semidirect
203. C4⋊Q8×D17C22semidirect
204. C4⋊Q8×D17C22semidirect
205. C4⋊Q8×D17C22semidirect
206. #11763346C22semidirect
207. #11763346C22semidirect
208. #11763345C22semidirect
209. #11763345C22semidirect
210. #11763344C22semidirect
211. #11763344C22semidirect
212. #11763343C22semidirect
213. #11763343C22semidirect
214. #11763342C22semidirect
215. #11763342C22semidirect
216. #11763341C22semidirect
217. #11763341C22semidirect
218. #11763340C22semidirect
219. #11763340C22semidirect
220. #11763339C22semidirect
221. #11763339C22semidirect
222. #11763338C22semidirect
223. #11763338C22semidirect
224. #11763337C22semidirect
225. #11763337C22semidirect
226. #11763336C22semidirect
227. #11763336C22semidirect
282. C17×#563C22semidirect
283. C17×#557C22semidirect
284. C17×#556C22semidirect
285. C17×#554C22semidirect
286. C17×#553C22semidirect
287. D4×Q8×C17C22semidirect
288. D4×Q8×C17C22semidirect
289. C17×#548C22semidirect
290. C17×#547C22semidirect
291. C17×#544C22semidirect
292. C17×#542C22semidirect
293. C17×#541C22semidirect
294. C17×#539C22semidirect
295. C17×#536C22semidirect
296. C2×C17×C4⋊Q8C22semidirect
297. C17×#529C22semidirect
298. C17×#529C22semidirect
1259. #3552D17direct (N × H)
1348. #563C2×D17semidirect
1357. #557C2×D17semidirect
1366. #556C2×D17semidirect
1378. #554C2×D17semidirect
1390. #553C2×D17semidirect
1410. D4×Q8C2×D17semidirect
1411. D4×Q8C2×D17semidirect
1423. #548C2×D17semidirect
1432. #547C2×D17semidirect
1444. #544C2×D17semidirect
1456. #542C2×D17semidirect
1468. #541C2×D17semidirect
1484. #539C2×D17semidirect
1496. #536C2×D17semidirect
1514. C2×C4⋊Q8C2×D17semidirect
1537. #529C2×D17semidirect
1538. #529C2×D17semidirect
1602. D17#3552direct (N × H)
2117. C17C2×#3552semidirect

Maximal subgroups

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

subgroupindex
#145432302
#145432292
#145432282
#145432272
#145432262
#145432252
#145432242
#145432232
#145432222
#145432212
#145432202
#145432192
#145432182
#145432172
#145432162
#145432152
#145432142
D17×#5632
D17×#5572
D17×#5562
D17×#5542
D17×#5532
D4×Q8×D172
D17×#5482
D17×#5472
D17×#5442
D17×#5422
D17×#5412
D17×#5392
D17×#5362
C2×C4⋊Q8×D172
D17×#5292
C17×#35522
C2×#355217