Finite Group Databasebeta

← #33982717

Subgroups — #33982717

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#22624377C211yesmaximal, characteristic, complemented
2#22623874C211yesmaximal, characteristic, complemented
3#22622830C211yesmaximal, characteristic, complemented
4#22622725C211yesmaximal, characteristic, complemented
5#22622699C211yesmaximal, characteristic, complemented
6#22622473C211yesmaximal, characteristic, complemented
7#22622400C211yesmaximal, characteristic, complemented
8#22622400C211yesmaximal, characteristic, complemented
9#22622393C211yesmaximal, characteristic, complemented
10#22622309C211yesmaximal, characteristic, complemented
11#22622291C211yesmaximal, characteristic, complemented
12#22622069C211yesmaximal, characteristic, complemented
13#22622017C211yesmaximal, characteristic, complemented
14#22621972C211yesmaximal, characteristic, complemented
15#22621889C211yesmaximal, characteristic, complemented
16#22621778C211yesmaximal, characteristic, complemented
17#22621757C211yesmaximal, characteristic, complemented
18#22621400C211yesmaximal, characteristic, complemented
19#22621348C211yesmaximal, characteristic, complemented
20#22621285C211yesmaximal, characteristic, complemented
21#22621230C211yesmaximal, characteristic, complemented
22#22621187C211yesmaximal, characteristic, complemented
23#22621162C211yesmaximal, characteristic, complemented
24#22620204C211yesmaximal, characteristic, complemented
25#22620119C211yesmaximal, characteristic, complemented
26#22620073C211yesmaximal, characteristic, complemented
27#22619794C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#476×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3388C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989341—21no—
34#17989322C2211yescharacteristic
35#17989310C2211yescharacteristic, complemented
36#17989297C2211yescharacteristic
37#17989297C2211yescharacteristic, complemented
38#17989290C2211yescharacteristic
39#17989290C2211yescharacteristic
40#17989290C2211yescharacteristic, complemented
41#17989285—21no—
42#17989275C2211yescharacteristic
43#17989264—21no—
44#17989264—21no—
45Q8×D292C2211yescharacteristic, complemented
46#17989252—21no—
47#17989249—21no—
48#17989240C2211yescharacteristic
49#17989240C2211yescharacteristic, complemented
50#17989232C2211yescharacteristic
51#17989232C2211yescharacteristic
52#17989228—21no—
53D4×D292C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989217C2211yescharacteristic, complemented
56#17989211C2211yescharacteristic
57#17989209C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989195—21no—
60#17989193C2211yescharacteristic
61#17989186—21no—
62#17989185—21no—
63#17989185—21no—
64#17989177—21no—
65#17989162—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic
68#17989124C2211yescharacteristic, complemented
69#17989122C2211yescharacteristic
70#17989100—21no—
71C2×#14556576—21no—
72#17989066C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988997C2211yescharacteristic, complemented
77#17988983C2211yescharacteristic, complemented
78#17988953C2211yescharacteristic
79#17988949C2211yescharacteristic, complemented
80#17988947C2211yescharacteristic, complemented
81#17988947C2211yescharacteristic, complemented
82#17988944C2211yescharacteristic, complemented
83#17988934C2211yescharacteristic
84#17988930C2211yescharacteristic, complemented
85#17988926C2211yescharacteristic, complemented
86#17988924C2211yescharacteristic, complemented
87#17988924C2211yescharacteristic, complemented
88#17988919C2211yescharacteristic, complemented
89#17988916C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic
92#17988914C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic
96#17988907C2211yescharacteristic
97#17988907C2211yescharacteristic
98#17988907C2211yescharacteristic, complemented
99#17988907C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988902C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988891C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic
106#17988886C2211yescharacteristic, complemented
107#17988884C2211yescharacteristic, complemented
108#17988884C2211yescharacteristic, complemented
109#17988884C2211yescharacteristic, complemented
110#17988878C2211yescharacteristic, complemented
111#17988878C2211yescharacteristic, complemented
112#17988877C2211yescharacteristic
113#17988877C2211yescharacteristic
114#17988876C2211yescharacteristic, complemented
115#17988876C2211yescharacteristic, complemented
116#17988875C2211yescharacteristic
117#17988875C2211yescharacteristic
118#17988874C2211yescharacteristic, complemented
119#17988874C2211yescharacteristic, complemented
120#17988873C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988867C2211yescharacteristic
124#17988866C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic, complemented
126#17988844C2211yescharacteristic, complemented
127#17988841C2211yescharacteristic
128#17988841C2211yescharacteristic, complemented
129#17988836C2211yescharacteristic, complemented
130#17988827C2211yescharacteristic, complemented
131#17988824C2211yescharacteristic
132#17988824C2211yescharacteristic, complemented
133#17988819C2211yescharacteristic
134#17988819C2211yescharacteristic
135#17988819C2211yescharacteristic, complemented
136#17988817C2211yescharacteristic, complemented
137#17988817C2211yescharacteristic, complemented
138#17988812C2211yescharacteristic, complemented
139#17988809C2211yescharacteristic, complemented
140#17988809C2211yescharacteristic, complemented
141#17988805C2211yescharacteristic, complemented
142#17988805C2211yescharacteristic, complemented
143#17988804C2211yescharacteristic
144#17988803C2211yescharacteristic, complemented
145#17988803C2211yescharacteristic, complemented
146#17988787C2211yescharacteristic
147#17988783C2211yescharacteristic
148#17988746C2211yescharacteristic
149#17988736C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988733C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988700C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic
158#17988697C2211yescharacteristic
159#17988692C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic
164#17988660C2211yescharacteristic, complemented
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic
169#17988652C2211yescharacteristic, complemented
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988628C2211yescharacteristic, complemented
175#17988622C2211yescharacteristic, complemented
176#106×D73C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988585C2211yescharacteristic
184#17988580C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#557×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#499×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#479×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic
196#478×C73C2211yescharacteristic
197#476×C73C2211yescharacteristic
198#475×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202C4×SD16×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73—21no—
207C2×Q8×D73—21no—
208C22×D292—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924018C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924015C2311yescharacteristic
215C2×#11924015C2311yescharacteristic
216C2×D584C2311yescharacteristic
217C2×D584C2311yescharacteristic
218C2×#11924013C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C2×#11924011C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225#14556591C2311yescharacteristic
226#14556591C2311yescharacteristic
227#14556591C2311yescharacteristic
228#14556590—21no—
229#14556590—21no—
230#14556590—21no—
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#14556586—21no—
243#14556586—21no—
244#14556586D411yescharacteristic
245#14556586D411yescharacteristic
246#14556585—21no—
247#14556585—21no—
248#14556583—21no—
249#14556583—21no—
250#14556582—21no—
251#14556582D411yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556580—21no—
256#14556580—21no—
257#14556580D411yescharacteristic
258#14556580C2311yescharacteristic
259#14556579—21no—
260#14556579—21no—
261#14556579—21no—
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556576—21no—
265#14556576—21no—
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#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576D411yescharacteristic
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556575—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571—21no—
290#14556571C2311yescharacteristic
291#14556571C2311yescharacteristic
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#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567D411yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566D411yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556565—21no—
321#14556565—21no—
322#14556565—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553—21no—
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556548C2311yescharacteristic
363#14556547—21no—
364C2×#11924007—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×#11924005—21no—
373C2×#11924005—21no—
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C42×D73C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C4⋊Q8×C73—21no—
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#125×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C4×Q8×C73—21no—
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C2×C4⋊C4×C73—21no—
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—82no—
481#11924029—82no—
482#11924027—22no—
483#11924027—41no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2411yescharacteristic
490Q8×D73—82no—
491Q8×D73—82no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—82no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2×D411yescharacteristic
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511D4×D73—22no—
512D4×D73—22no—
513D4×D73—41no—
514D4×D73—41no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
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—82no—
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536#11924018—41no—
537#11924017—41no—
538#11924015—41no—
539#11924015—41no—
540D584—41no—
541D584—41no—
542#11924013—22no—
543#11924011—41no—
544#11924011—41no—
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C8×D73—41no—
550C8×D73—41no—
551C8×D73—41no—
552C8×D73—41no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
579#11924007—21no—
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584C22⋊Dic73—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
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#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2411yescharacteristic
631C2×Q8×C73—21no—
632C2×Q8×C73—21no—
633C2×Q8×C73C2×D411yescharacteristic
634C2×Q8×C73C2411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639SD16×C73—22no—
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73—21no—
672C42×C73C2411yescharacteristic
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—42no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73C22×D411yescharacteristic
686C22×D73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—41no—
691Q8×C73—42no—
692Q8×C73—81no—
693D4×C73—21no—
694D4×C732−1+412yes—
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—81no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C2511yescharacteristic
712C22⋊D73—42no—
713C22⋊D73—42no—
714C22⋊D73—42no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—42no—
721C2×Dic73—81no—
722C2×Dic73C22×D411yescharacteristic
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727D292—22no—
728D292—22no—
729D292—21no—
730D292—21no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—21no—
735D292—41no—
736D292—42no—
737D292—42no—
738D292—81no—
739D292—81no—
740D292—81no—
741D292—81no—
742D292—81no—
743D292—81no—
744D292—81no—
745C4×D73—22no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—41no—
753C4×D73—42no—
754C4×D73—42no—
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—21no—
767Dic146—21no—
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—22no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73C23×D411yescharacteristic
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
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—84no—
803C2×D73—162no—
804C2×D73#57712yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—21no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73C2×2−1+411yescharacteristic
819C4×C73#58511yescharacteristic
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—42no—
832C2×C73#348911yescharacteristic
833C2×C73C2×#57711yescharacteristic
834C2×C73#358511yescharacteristic
835D73—22no—
836D73—41no—
837D73—41no—
838D73—81no—
839D73—81no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388D7311yescharacteristic, complemented
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
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#557C2×D7311yescharacteristic, complemented
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#552—731no—
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#501C2×D7311yescharacteristic, complemented
921#501C2×D7311yescharacteristic, complemented
922#499C2×D7311yescharacteristic, complemented
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#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483—731no—
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#479C2×D7311yescharacteristic, complemented
951#479C2×D7311yescharacteristic, complemented
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478C2×D7311yescharacteristic
959#478C2×D7311yescharacteristic
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#476C2×D7311yescharacteristic
971#475—731no—
972#475—731no—
973#475—731no—
974#475C2×D7311yescharacteristic, complemented
975#474—731no—
976#474—731no—
977#474—731no—
978#470—731no—
979#469—731no—
980#469—731no—
981#468—731no—
982#467—731no—
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#446C2×D7311yescharacteristic, complemented
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441—731no—
1013#440—731no—
1014#440C2×D7311yescharacteristic
1015#440C2×D7311yescharacteristic
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16C2×D7311yescharacteristic
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
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×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8—731no—
1061C2×M16—731no—
1062C2×M16—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C4⋊Q8—21no—
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⋊Q8C22×D7311yescharacteristic
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—731no—
1081#126—731no—
1082#126—1461no—
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—1461no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125C22×D7311yescharacteristic
1103#125C22×D7311yescharacteristic
1104#125C22×D7311yescharacteristic
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—731no—
1116#123—731no—
1117#123—1461no—
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—21no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
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⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
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—21no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—731no—
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—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—731no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
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#107C22×D7311yescharacteristic
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#106—731no—
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⋊C8C22×D7311yescharacteristic
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
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#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313#97—731no—
1314#97—731no—
1315#97C22×D7311yescharacteristic
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—5842no—
1328C2×Q8—5842no—
1329C2×Q8—731no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8D4×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—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1462no—
1357C2×D4—1462no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—5842no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
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×C4—1461no—
1384C22×C4—1461no—
1385Q16—2921no—
1386SD16—22no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—2921no—
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—21no—
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—1461no—
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⋊C4D4×D7311yescharacteristic
1452C4⋊C4D4×D7311yescharacteristic
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—731no—
1464C22⋊C4—731no—
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⋊C4—1461no—
1501C22⋊C4—1461no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42C23×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—2922no—
1518C23—2922no—
1519C23—2922no—
1520C23—5841no—
1521C23—5841no—
1522C23—5841no—
1523C23—731no—
1524C23—731no—
1525C23—731no—
1526C23—1461no—
1527C23—1461no—
1528C23—1461no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—42no—
1533Q8—81no—
1534Q8—2922no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—21no—
1542D4—2921no—
1543D4—2922no—
1544D4—2922no—
1545D4—2922no—
1546D4—2922no—
1547D4—2922no—
1548D4—5841no—
1549D4—5841no—
1550D4—5841no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—1462no—
1556D4—1462no—
1557D4—1461no—
1558D4—1461no—
1559D4—1461no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4#1455663912yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—2922no—
1575C2×C4—2921no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—5841no—
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—731no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—1462no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4C2×D4×D7311yescharacteristic
1608C2×C4C2×D4×D7311yescharacteristic
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—22no—
1623C22—41no—
1624C22—41no—
1625C22—2921no—
1626C22—2921no—
1627C22—2921no—
1628C22—2921no—
1629C22—2921no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—5844no—
1635C22—732no—
1636C22—11682no—
1637C22—1461no—
1638C22—1461no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4C2×#1455663911yescharacteristic
1670C4#1798942411yescharacteristic
1671C2—42no—
1672C2—2921no—
1673C2—2921no—
1674C2—5841no—
1675C2—5841no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360811yescharacteristic
1679C2#577×D7311yescharacteristic
1680C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3388C2
socleC22×C73C23×D4
hypercenter#3388D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #22624377C2semidirect
2. #22623874C2semidirect
3. #22622830C2semidirect
4. #22622725C2semidirect
5. #22622699C2semidirect
6. #22622473C2semidirect
7. #22622400C2semidirect
8. #22622400C2semidirect
9. #22622393C2semidirect
10. #22622309C2semidirect
11. #22622291C2semidirect
12. #22622069C2semidirect
13. #22622017C2semidirect
14. #22621972C2semidirect
15. #22621889C2semidirect
16. #22621778C2semidirect
17. #22621757C2semidirect
18. #22621400C2semidirect
19. #22621348C2semidirect
20. #22621285C2semidirect
21. #22621230C2semidirect
22. #22621187C2semidirect
23. #22621162C2semidirect
24. #22620204C2semidirect
25. #22620119C2semidirect
26. #22620073C2semidirect
27. #22619794C2semidirect
28. #22619761C2semidirect
29. #476×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3388C2semidirect
35. #17989310C22semidirect
37. #17989297C22semidirect
40. #17989290C22semidirect
45. Q8×D292C22semidirect
49. #17989240C22semidirect
54. #17989217C22semidirect
55. #17989217C22semidirect
57. #17989209C22semidirect
58. #17989209C22semidirect
66. C4⋊Q8×D73C22semidirect
68. #17989124C22semidirect
75. #17988997C22semidirect
76. #17988997C22semidirect
77. #17988983C22semidirect
79. #17988949C22semidirect
80. #17988947C22semidirect
81. #17988947C22semidirect
82. #17988944C22semidirect
84. #17988930C22semidirect
85. #17988926C22semidirect
86. #17988924C22semidirect
87. #17988924C22semidirect
88. #17988919C22semidirect
89. #17988916C22semidirect
90. #17988916C22semidirect
92. #17988914C22semidirect
93. #17988914C22semidirect
94. #17988913C22semidirect
98. #17988907C22semidirect
99. #17988907C22semidirect
100. #17988902C22semidirect
101. #17988902C22semidirect
102. #17988893C22semidirect
103. #17988891C22semidirect
104. #17988890C22semidirect
106. #17988886C22semidirect
107. #17988884C22semidirect
108. #17988884C22semidirect
109. #17988884C22semidirect
110. #17988878C22semidirect
111. #17988878C22semidirect
114. #17988876C22semidirect
115. #17988876C22semidirect
118. #17988874C22semidirect
119. #17988874C22semidirect
120. #17988873C22semidirect
121. #17988871C22semidirect
122. #17988871C22semidirect
124. #17988866C22semidirect
125. #17988866C22semidirect
126. #17988844C22semidirect
128. #17988841C22semidirect
129. #17988836C22semidirect
130. #17988827C22semidirect
132. #17988824C22semidirect
135. #17988819C22semidirect
136. #17988817C22semidirect
137. #17988817C22semidirect
138. #17988812C22semidirect
139. #17988809C22semidirect
140. #17988809C22semidirect
141. #17988805C22semidirect
142. #17988805C22semidirect
144. #17988803C22semidirect
145. #17988803C22semidirect
154. #17988718C22semidirect
155. #17988700C22semidirect
156. #17988700C22semidirect
159. #17988692C22semidirect
160. #17988685C22semidirect
161. C4×#11924017C22semidirect
162. C4×#11924015C22semidirect
164. #17988660C22semidirect
165. #17988660C22semidirect
167. #17988657C22semidirect
169. #17988652C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
173. #17988628C22semidirect
174. #17988628C22semidirect
175. #17988622C22semidirect
176. #106×D73C22semidirect
177. #106×D73C22semidirect
178. #106×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
188. #557×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #499×C73C22semidirect
193. #479×C73C22semidirect
194. #479×C73C22semidirect
198. #475×C73C22semidirect
199. #446×C73C22semidirect
843. #3388D73semidirect
872. C73#62156semidirect
876. #557C2×D73semidirect
920. #501C2×D73semidirect
921. #501C2×D73semidirect
922. #499C2×D73semidirect
950. #479C2×D73semidirect
951. #479C2×D73semidirect
974. #475C2×D73semidirect
1007. #446C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243772
#226238742
#226228302
#226227252
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