Finite Group Databasebeta

← #33982695

Subgroups — #33982695

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624366C211yesmaximal, characteristic, complemented
2#22623876C211yesmaximal, characteristic, complemented
3#22622874C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622722C211yesmaximal, characteristic, complemented
6#22622700C211yesmaximal, characteristic, complemented
7#22622474C211yesmaximal, characteristic, complemented
8#22622402C211yesmaximal, characteristic, complemented
9#22622397C211yesmaximal, characteristic, complemented
10#22622310C211yesmaximal, characteristic, complemented
11#22622281C211yesmaximal, characteristic, complemented
12#22622074C211yesmaximal, characteristic, complemented
13#22622018C211yesmaximal, characteristic, complemented
14#22621962C211yesmaximal, characteristic, complemented
15#22621890C211yesmaximal, characteristic, complemented
16#22621779C211yesmaximal, characteristic, complemented
17#22621749C211yesmaximal, characteristic, complemented
18#22621397C211yesmaximal, characteristic, complemented
19#22621348C211yesmaximal, characteristic, complemented
20#22621284C211yesmaximal, characteristic, complemented
21#22621233C211yesmaximal, characteristic, complemented
22#22621185C211yesmaximal, characteristic, complemented
23#22621164C211yesmaximal, characteristic, complemented
24#22620206C211yesmaximal, characteristic, complemented
25#22620118C211yesmaximal, characteristic, complemented
26#22620072C211yesmaximal, characteristic, complemented
27#22619790C211yesmaximal, characteristic, complemented
28#22619760C211yesmaximal, characteristic, complemented
29C2×#17988876C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3344C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989338—21no—
34#17989322C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic, complemented
38#17989293C2211yescharacteristic
39#17989290—21no—
40#17989285C2211yescharacteristic, complemented
41#17989283C2211yescharacteristic
42#17989281C2211yescharacteristic
43#17989262—21no—
44#17989261—21no—
45#17989252C2211yescharacteristic, complemented
46#17989250—21no—
47#17989246—21no—
48#17989238C2211yescharacteristic
49#17989238C2211yescharacteristic, complemented
50#17989229—21no—
51#17989228C2211yescharacteristic
52#17989228C2211yescharacteristic
53D4×D292C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989214C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic
57#17989210C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989196—21no—
60#17989193C2211yescharacteristic
61#17989186—21no—
62#17989185—21no—
63#17989179—21no—
64#17989176—21no—
65#17989160—21no—
66C2×#14556590C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic
68#17989123C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989099—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989061C2211yescharacteristic
74C2×#14556553C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988986C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988952C2211yescharacteristic
81#17988948C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988935C2211yescharacteristic
86#17988925C2211yescharacteristic, complemented
87#17988920C2211yescharacteristic, complemented
88#17988916C2211yescharacteristic, complemented
89#17988914C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic
96#17988905C2211yescharacteristic
97#17988905C2211yescharacteristic
98#17988902C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic
107#17988886C2211yescharacteristic
108#17988886C2211yescharacteristic, complemented
109#17988886C2211yescharacteristic, complemented
110#17988884C2211yescharacteristic, complemented
111#17988876C2211yescharacteristic
112#17988876C2211yescharacteristic
113#17988876C2211yescharacteristic
114#17988876C2211yescharacteristic
115#17988876C2211yescharacteristic, complemented
116#17988876C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic, complemented
121#17988874C2211yescharacteristic
122#17988870C2211yescharacteristic, complemented
123#17988870C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic
126#17988866C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic, complemented
128#17988841C2211yescharacteristic, complemented
129#17988840C2211yescharacteristic
130#17988836C2211yescharacteristic, complemented
131#17988824C2211yescharacteristic, complemented
132#17988823C2211yescharacteristic
133#17988819C2211yescharacteristic, complemented
134#17988818C2211yescharacteristic
135#17988818C2211yescharacteristic
136#17988818C2211yescharacteristic, complemented
137#17988818C2211yescharacteristic, complemented
138#17988811C2211yescharacteristic, complemented
139#17988811C2211yescharacteristic, complemented
140#17988811C2211yescharacteristic, complemented
141#17988805C2211yescharacteristic
142#17988805C2211yescharacteristic, complemented
143#17988805C2211yescharacteristic, complemented
144#17988805C2211yescharacteristic, complemented
145#17988805C2211yescharacteristic, complemented
146#17988787C2211yescharacteristic
147#17988783C2211yescharacteristic
148#17988748C2211yescharacteristic
149#17988737C2211yescharacteristic
150#17988737C2211yescharacteristic
151#17988735C2211yescharacteristic
152#17988723C2211yescharacteristic
153#17988723C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic
157#17988698C2211yescharacteristic
158#17988698C2211yescharacteristic, complemented
159#17988698C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic
161#17988690C2211yescharacteristic
162#17988690C2211yescharacteristic, complemented
163C4×#11924015C2211yescharacteristic
164C4×#11924015C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic
167#17988658C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988626C2211yescharacteristic, complemented
176#17988623C2211yescharacteristic, complemented
177C2×#14556522C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185C2×#14556513C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187C2×#14556511C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#483×C73C2211yescharacteristic, complemented
194#483×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#470×C73C2211yescharacteristic, complemented
198#467×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C22×Dic146—21no—
207C2×Q8×D73—21no—
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C22×C4×D73—21no—
212C2×#11924015C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×#11924015C2311yescharacteristic
215C2×#11924015C2311yescharacteristic
216C2×D584C2311yescharacteristic
217C2×D584C2311yescharacteristic
218C2×D584C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556590—21no—
224#14556590—21no—
225#14556590—21no—
226#14556590—21no—
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589—21no—
234#14556588C2311yescharacteristic
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586D411yescharacteristic
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584D411yescharacteristic
247#14556583—21no—
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581D411yescharacteristic
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556579—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575D411yescharacteristic
279#14556574—21no—
280#14556574—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571—21no—
290#14556570—21no—
291#14556570—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556568—21no—
301#14556568D411yescharacteristic
302#14556567—21no—
303#14556567—21no—
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556563—21no—
320#14556563D411yescharacteristic
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556549—21no—
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548C2311yescharacteristic
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556522C2311yescharacteristic
384#14556522C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×Q16×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73—21no—
441#125×C73—21no—
442#125×C73C2311yescharacteristic
443#123×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73C2311yescharacteristic
447C22⋊Q8×C73C2311yescharacteristic
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—22no—
481#11924029—41no—
482#11924028—82no—
483#11924028—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—82no—
491C2×Dic146C2×D411yescharacteristic
492Q8×D73—82no—
493C2×D292—22no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292—41no—
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—82no—
516C22×Dic73—21no—
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—82no—
534C2×C4×D73C2411yescharacteristic
535#11924015—22no—
536#11924015—41no—
537#11924015—41no—
538#11924015—41no—
539D584—22no—
540D584—41no—
541D584—41no—
542#11924011—41no—
543C2×#10596831—41no—
544C2×#10596831—41no—
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C8×D73—41no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2×D411yescharacteristic
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584C22⋊Dic73—21no—
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73—21no—
630C2×Q8×C73C2411yescharacteristic
631C2×Q8×C73C2411yescharacteristic
632C2×D4×C73C2×D411yescharacteristic
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73C2411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638Q16×C73—41no—
639M16×C73—41no—
640C2×C8×C73—41no—
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C42×C73—21no—
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73C22×D411yescharacteristic
676C23×C73C22×D411yescharacteristic
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—42no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—21no—
691Q8×C73—21no—
692Q8×C73—81no—
693D4×C73—22no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—42no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C2511yescharacteristic
714C22⋊D73—22no—
715C22⋊D73—41no—
716C22⋊D73—42no—
717C22⋊D73—42no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—22no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—41no—
726C2×Dic73—81no—
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—21no—
739D292—21no—
740D292—21no—
741D292—42no—
742D292—42no—
743D292—42no—
744D292—81no—
745D292—81no—
746D292—81no—
747D292—81no—
748D292—81no—
749D2922−1+412yes—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—42no—
753C4×D73—42no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766Dic146—41no—
767Dic146—42no—
768Dic146—42no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73#57712yes—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—22no—
791C2×D73—21no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C2×D73—162no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73C2×2−1+411yescharacteristic
818C4×C73#58511yescharacteristic
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—21no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—41no—
833C2×C73#348911yescharacteristic
834C2×C73C2×#57711yescharacteristic
835C2×C73#358511yescharacteristic
836D73—41no—
837D73—42no—
838D73—81no—
839D73—81no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344D7311yescharacteristic, complemented
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554C2×D7311yescharacteristic
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552C2×D7311yescharacteristic
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547—731no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501C2×D7311yescharacteristic, complemented
922#499—731no—
923#498—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489—731no—
928#488—731no—
929#486—731no—
930#485—731no—
931#485C2×D7311yescharacteristic, complemented
932#484—731no—
933#484C2×D7311yescharacteristic, complemented
934#483—731no—
935#483C2×D7311yescharacteristic, complemented
936#483C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#481—731no—
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479C2×D7311yescharacteristic, complemented
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476—731no—
971#475—731no—
972#475—731no—
973#475—731no—
974#475C2×D7311yescharacteristic, complemented
975#474—731no—
976#474—731no—
977#474—731no—
978#470C2×D7311yescharacteristic, complemented
979#469—731no—
980#469—731no—
981#468—731no—
982#467C2×D7311yescharacteristic, complemented
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441C2×D7311yescharacteristic, complemented
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435C2×D7311yescharacteristic
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428C2×D7311yescharacteristic, complemented
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106C2×D7311yescharacteristic, complemented
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—1461no—
1052C23×C4—1461no—
1053C2×Q16C22×D7311yescharacteristic
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8—731no—
1061C2×M16—731no—
1062C2×M16C22×D7311yescharacteristic
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—21no—
1081#126—731no—
1082#126—731no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—21no—
1094#125—21no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125C22×D7311yescharacteristic
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—731no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124—1461no—
1115#123—21no—
1116#123—731no—
1117#123—731no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8C22×D7311yescharacteristic
1158C22⋊Q8C22×D7311yescharacteristic
1159C22⋊Q8C22×D7311yescharacteristic
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—731no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4C22×D7311yescharacteristic
1217#117—21no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117C22×D7311yescharacteristic
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4C22×D7311yescharacteristic
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107C22×D7311yescharacteristic
1247#107C22×D7311yescharacteristic
1248#107C22×D7311yescharacteristic
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106C22×D7311yescharacteristic
1260#106C22×D7311yescharacteristic
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103C22×D7311yescharacteristic
1280#103C22×D7311yescharacteristic
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—5842no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8C23×D7311yescharacteristic
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—2921no—
1338C2×D4—2921no—
1339C2×D4—5842no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—1461no—
1347C2×D4—1462no—
1348C2×D4—1462no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4D4×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—5842no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—41no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—41no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—731no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—731no—
1509C42—731no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—2922no—
1517C23—2922no—
1518C23—2922no—
1519C23—5841no—
1520C23—5841no—
1521C23—5841no—
1522C23—731no—
1523C23—1461no—
1524C23—1461no—
1525C23—1461no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—81no—
1534Q8—2921no—
1535Q8—2922no—
1536Q8—2922no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—5841no—
1541D4—22no—
1542D4—2922no—
1543D4—2922no—
1544D4—2922no—
1545D4—2922no—
1546D4—2922no—
1547D4—2921no—
1548D4—5841no—
1549D4—5841no—
1550D4—5841no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—732no—
1556D4—1462no—
1557D4—1461no—
1558D4—1461no—
1559D4—1461no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—42no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—2922no—
1580C2×C4—2922no—
1581C2×C4—2921no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—5841no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—731no—
1601C2×C4—731no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—2921no—
1628C22—2921no—
1629C22—2921no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—5844no—
1639C22—11682no—
1640C22—1462no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22#1798939612yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—2922no—
1674C2—2921no—
1675C2—5841no—
1676C2—5841no—
1677C2—5841no—
1678C2#2262360511yescharacteristic
1679C2C2×#1798939611yescharacteristic
1680C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3344C2
socleC22×C73C23×D4
hypercenter#3344D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #22624366C2semidirect
2. #22623876C2semidirect
3. #22622874C2semidirect
4. #22622827C2semidirect
5. #22622722C2semidirect
6. #22622700C2semidirect
7. #22622474C2semidirect
8. #22622402C2semidirect
9. #22622397C2semidirect
10. #22622310C2semidirect
11. #22622281C2semidirect
12. #22622074C2semidirect
13. #22622018C2semidirect
14. #22621962C2semidirect
15. #22621890C2semidirect
16. #22621779C2semidirect
17. #22621749C2semidirect
18. #22621397C2semidirect
19. #22621348C2semidirect
20. #22621284C2semidirect
21. #22621233C2semidirect
22. #22621185C2semidirect
23. #22621164C2semidirect
24. #22620206C2semidirect
25. #22620118C2semidirect
26. #22620072C2semidirect
27. #22619790C2semidirect
28. #22619760C2semidirect
29. C2×#17988876C2semidirect
30. #22619071C2semidirect
31. C73×#3344C2semidirect
35. #17989313C22semidirect
36. #17989308C22semidirect
37. #17989295C22semidirect
40. #17989285C22semidirect
45. #17989252C22semidirect
49. #17989238C22semidirect
54. #17989218C22semidirect
55. #17989214C22semidirect
57. #17989210C22semidirect
58. #17989209C22semidirect
66. C2×#14556590C22semidirect
68. #17989123C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988986C22semidirect
79. #17988984C22semidirect
81. #17988948C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988943C22semidirect
86. #17988925C22semidirect
87. #17988920C22semidirect
88. #17988916C22semidirect
89. #17988914C22semidirect
90. #17988913C22semidirect
92. #17988911C22semidirect
93. #17988907C22semidirect
94. #17988907C22semidirect
98. #17988902C22semidirect
99. #17988900C22semidirect
100. #17988896C22semidirect
101. #17988896C22semidirect
102. #17988894C22semidirect
104. #17988890C22semidirect
105. #17988890C22semidirect
108. #17988886C22semidirect
109. #17988886C22semidirect
110. #17988884C22semidirect
115. #17988876C22semidirect
116. #17988876C22semidirect
117. #17988876C22semidirect
118. #17988876C22semidirect
119. #17988876C22semidirect
120. #17988876C22semidirect
122. #17988870C22semidirect
123. #17988870C22semidirect
124. #17988870C22semidirect
126. #17988866C22semidirect
127. #17988866C22semidirect
128. #17988841C22semidirect
130. #17988836C22semidirect
131. #17988824C22semidirect
133. #17988819C22semidirect
136. #17988818C22semidirect
137. #17988818C22semidirect
138. #17988811C22semidirect
139. #17988811C22semidirect
140. #17988811C22semidirect
142. #17988805C22semidirect
143. #17988805C22semidirect
144. #17988805C22semidirect
145. #17988805C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
158. #17988698C22semidirect
159. #17988698C22semidirect
162. #17988690C22semidirect
164. C4×#11924015C22semidirect
165. #17988672C22semidirect
167. #17988658C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
171. #17988650C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988626C22semidirect
176. #17988623C22semidirect
177. C2×#14556522C22semidirect
178. #106×D73C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #483×C73C22semidirect
194. #483×C73C22semidirect
195. #479×C73C22semidirect
196. #475×C73C22semidirect
197. #470×C73C22semidirect
198. #467×C73C22semidirect
199. #441×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#106×C73C22semidirect
850. #3344D73semidirect
872. C73#62156semidirect
921. #501C2×D73semidirect
931. #485C2×D73semidirect
933. #484C2×D73semidirect
935. #483C2×D73semidirect
936. #483C2×D73semidirect
951. #479C2×D73semidirect
974. #475C2×D73semidirect
978. #470C2×D73semidirect
982. #467C2×D73semidirect
1012. #441C2×D73semidirect
1030. #428C2×D73semidirect
1034. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243662
#226238762
#226228742
#226228272
#226227222
#226227002
#226224742
#226224022
#226223972
#226223102
#226222812
#226220742
#226220182
#226219622
#226218902
#226217792
#226217492
#226213972
#226213482
#226212842
#226212332
#226211852
#226211642
#226202062
#226201182
#226200722
#226197902
#226197602
C2×#179888762
#226190712
C73×#33442
#6215673