Finite Group Databasebeta

← #33982793

Subgroups — #33982793

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624572C211yesmaximal, characteristic, complemented
2#22623882C211yesmaximal, characteristic, complemented
3#22622847C211yesmaximal, characteristic, complemented
4#22622829C211yesmaximal, characteristic, complemented
5#22622697C211yesmaximal, characteristic, complemented
6#22622691C211yesmaximal, characteristic, complemented
7#22622477C211yesmaximal, characteristic, complemented
8#22622457C211yesmaximal, characteristic, complemented
9#22622447C211yesmaximal, characteristic, complemented
10#22622428C211yesmaximal, characteristic, complemented
11#22622351C211yesmaximal, characteristic, complemented
12#22622341C211yesmaximal, characteristic, complemented
13#22622088C211yesmaximal, characteristic, complemented
14#22622068C211yesmaximal, characteristic, complemented
15#22621964C211yesmaximal, characteristic, complemented
16#22621953C211yesmaximal, characteristic, complemented
17#22621778C211yesmaximal, characteristic, complemented
18#22621762C211yesmaximal, characteristic, complemented
19#22621403C211yesmaximal, characteristic, complemented
20#22621392C211yesmaximal, characteristic, complemented
21#22621256C211yesmaximal, characteristic, complemented
22#22621229C211yesmaximal, characteristic, complemented
23#22621213C211yesmaximal, characteristic, complemented
24#22621127C211yesmaximal, characteristic, complemented
25#22620122C211yesmaximal, characteristic, complemented
26#22620115C211yesmaximal, characteristic, complemented
27#22620045C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619712C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3081C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989333—21no—
34#17989320C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic, complemented
37#17989308—21no—
38#17989305C2211yescharacteristic
39#17989302C2211yescharacteristic
40#17989300C2211yescharacteristic
41#17989300C2211yescharacteristic, complemented
42#17989298C2211yescharacteristic, complemented
43#17989290C2211yescharacteristic, complemented
44#17989285C2211yescharacteristic
45#17989276C2211yescharacteristic
46#17989272C2211yescharacteristic, complemented
47#17989269—21no—
48#17989266—21no—
49#17989263—21no—
50D4×Dic146C2211yescharacteristic
51#17989246—21no—
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989227—21no—
55D4×C22⋊D73C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989211—21no—
58#17989211C2211yescharacteristic, complemented
59#17989210—21no—
60#17989208C2211yescharacteristic
61#17989208C2211yescharacteristic, complemented
62#17989202C2211yescharacteristic
63#17989198—21no—
64#17989183—21no—
65#17989175—21no—
66#17989170—21no—
67#17989142C2211yescharacteristic, complemented
68#17989134C2211yescharacteristic
69#17989122C2211yescharacteristic, complemented
70#17989117—21no—
71#17989115C2211yescharacteristic
72C2×#14556577—21no—
73#17989059C2211yescharacteristic
74C4×#11924027C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988950C2211yescharacteristic
83#17988949C2211yescharacteristic, complemented
84#17988945C2211yescharacteristic, complemented
85#17988944C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988911C2211yescharacteristic
99#17988911C2211yescharacteristic, complemented
100#17988909C2211yescharacteristic
101#17988909C2211yescharacteristic, complemented
102#17988909C2211yescharacteristic, complemented
103#17988905C2211yescharacteristic
104#17988899C2211yescharacteristic
105#17988893C2211yescharacteristic, complemented
106#17988893C2211yescharacteristic, complemented
107#17988891C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic, complemented
109#17988885C2211yescharacteristic
110#17988885C2211yescharacteristic
111#17988885C2211yescharacteristic
112#17988884C2211yescharacteristic, complemented
113#17988883C2211yescharacteristic, complemented
114#17988883C2211yescharacteristic, complemented
115#17988881C2211yescharacteristic, complemented
116#17988877C2211yescharacteristic
117#17988876C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic, complemented
120#17988874C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988869C2211yescharacteristic, complemented
123#17988868C2211yescharacteristic, complemented
124#17988868C2211yescharacteristic, complemented
125#17988867C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic
127#17988846C2211yescharacteristic, complemented
128#17988839C2211yescharacteristic
129#17988833C2211yescharacteristic
130#17988833C2211yescharacteristic, complemented
131#17988828C2211yescharacteristic, complemented
132#17988824C2211yescharacteristic, complemented
133#17988823C2211yescharacteristic
134#17988822C2211yescharacteristic, complemented
135#17988817C2211yescharacteristic, complemented
136#17988817C2211yescharacteristic, complemented
137#17988815C2211yescharacteristic
138#17988815C2211yescharacteristic, complemented
139#17988810C2211yescharacteristic, complemented
140#17988810C2211yescharacteristic, complemented
141#17988808C2211yescharacteristic, complemented
142#17988803C2211yescharacteristic, complemented
143#17988803C2211yescharacteristic, complemented
144#17988802C2211yescharacteristic
145#17988802C2211yescharacteristic, complemented
146#17988801C2211yescharacteristic, complemented
147#17988786C2211yescharacteristic
148#17988781C2211yescharacteristic
149#17988750C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988738C2211yescharacteristic
152#17988733C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988721C2211yescharacteristic
155#17988716C2211yescharacteristic, complemented
156#17988714C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic
160#17988693C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic
165#17988678C2211yescharacteristic
166C4×#11924016C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic
169#17988658C2211yescharacteristic
170#17988657C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic
172#17988656C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988624C2211yescharacteristic, complemented
180#17988624C2211yescharacteristic, complemented
181#17988624C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988580C2211yescharacteristic
186#17988580C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic
190#478×C73C2211yescharacteristic
191#478×C73C2211yescharacteristic
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#476×C73C2211yescharacteristic
195#476×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic
197#474×C73C2211yescharacteristic, complemented
198#428×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C22×Dic146—21no—
206C22×C22⋊D73—21no—
207C2×D4×D73C2311yescharacteristic
208C2×Dic292C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556590—21no—
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556587C2311yescharacteristic
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586D411yescharacteristic
238#14556585—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584D411yescharacteristic
243#14556583—21no—
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581D411yescharacteristic
252#14556580—21no—
253#14556580—21no—
254#14556579—21no—
255#14556579—21no—
256#14556579C2311yescharacteristic
257#14556579C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576D411yescharacteristic
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573D411yescharacteristic
284#14556572—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556571C2311yescharacteristic
291#14556570—21no—
292#14556570—21no—
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569D411yescharacteristic
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564D411yescharacteristic
318#14556563—21no—
319#14556563—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556560—21no—
324#14556560—21no—
325#14556559—21no—
326Q8×Dic73—21no—
327Q8×Dic73—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556—21no—
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556550—21no—
357#14556550—21no—
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556548—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548C2311yescharacteristic
368#14556547—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C2×C22⋊Dic73—21no—
372C2×#11924005—21no—
373C2×#11924005—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73—21no—
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73—21no—
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#125×C73—21no—
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C4×D4×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73C2311yescharacteristic
449C4×D4×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452#117×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456C2×C22⋊C4×C73—21no—
457C2×C22⋊C4×C73—21no—
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—82no—
480#11924027—22no—
481#11924027—41no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—82no—
488C2×Dic146C2×D411yescharacteristic
489C2×Dic146C2411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292C2×D411yescharacteristic
495C2×D292C2411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—82no—
506C2×C22⋊D73C2×D411yescharacteristic
507C2×C22⋊D73C2×D411yescharacteristic
508D4×D73—22no—
509D4×D73—41no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522C2×C4×D73C2411yescharacteristic
523Dic292—41no—
524#11924017—41no—
525#11924017—41no—
526#11924016—22no—
527#11924016—41no—
528D584—41no—
529#11924013—22no—
530#11924013—41no—
531#11924011—41no—
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C8×D73—41no—
537C8×D73—41no—
538C8×D73—41no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007C2×D411yescharacteristic
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73C2×D411yescharacteristic
582C22⋊Dic73C2×D411yescharacteristic
583#11924005—21no—
584#11924005—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#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C24×C73—21no—
626C2×Q8×C73—21no—
627C2×Q8×C73—21no—
628C2×D4×C73—22no—
629C2×D4×C73—21no—
630C2×D4×C73—41no—
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
653C4⋊C4×C73C2×D411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—42no—
675C23×C73—81no—
676C23×C73—81no—
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—81no—
686Q8×C73—81no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—42no—
691D4×C732−1+412yes—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
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—81no—
701C2×C4×C73—81no—
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×C73C2511yescharacteristic
711C22⋊D73—41no—
712C22⋊D73—41no—
713C22⋊D73—42no—
714C22⋊D73—42no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—42no—
728C2×Dic73—42no—
729C2×Dic73—81no—
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736D292—21no—
737D292—21no—
738D292—21no—
739D292—21no—
740D292—41no—
741D292—81no—
742D292—81no—
743D292—81no—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—41no—
749C4×D73—41no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756Dic146—21no—
757Dic146—21no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
761Dic146—42no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—22no—
777C22×C73—21no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—162no—
784C22×C73C23×D411yescharacteristic
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—41no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081D7311yescharacteristic, complemented
863#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544C2×D7311yescharacteristic, complemented
892#542—731no—
893#542—731no—
894#542—731no—
895#542—731no—
896#542—1461no—
897#542—1461no—
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518C2×D7311yescharacteristic
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501—731no—
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#484—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478C2×D7311yescharacteristic
950#478C2×D7311yescharacteristic
951#478C2×D7311yescharacteristic, complemented
952#478C2×D7311yescharacteristic, complemented
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476C2×D7311yescharacteristic
962#476C2×D7311yescharacteristic, complemented
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474C2×D7311yescharacteristic
970#474C2×D7311yescharacteristic, complemented
971#470—731no—
972#469—731no—
973#468—731no—
974#468—731no—
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435—731no—
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#432—731no—
1022#428—731no—
1023#428C2×D7311yescharacteristic, complemented
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427C2×D7311yescharacteristic, complemented
1028#424—731no—
1029#424C2×D7311yescharacteristic, complemented
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418C2×D7311yescharacteristic
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102C2×D7311yescharacteristic
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—1461no—
1042C22×D4C22×D7311yescharacteristic
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16C22×D7311yescharacteristic
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065C4⋊Q8C22×D7311yescharacteristic
1066C4⋊Q8C22×D7311yescharacteristic
1067#127—731no—
1068#126—731no—
1069#126—731no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—21no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125C22×D7311yescharacteristic
1094#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#123—731no—
1114#123—731no—
1115#123—1461no—
1116#123—1461no—
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—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
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—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4C22×D7311yescharacteristic
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221#117C22×D7311yescharacteristic
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C22⋊C4—21no—
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—731no—
1233C2×C42—1461no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102C22×D7311yescharacteristic
1293#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97—731no—
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—21no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—731no—
1321C2×Q8—731no—
1322C2×Q8—731no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8—1461no—
1328C2×D4—22no—
1329C2×D4—21no—
1330C2×D4—41no—
1331C2×D4—2921no—
1332C2×D4—5842no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1462no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—731no—
1358C22×C4—731no—
1359C22×C4—731no—
1360C22×C4—731no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381C2×C8—41no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4D4×D7311yescharacteristic
1435C4⋊C4D4×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C4⋊C4C23×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—81no—
1510C23—81no—
1511C23—2922no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—731no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—2921no—
1522Q8—2922no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—2921no—
1536D4—2922no—
1537D4—2922no—
1538D4—2921no—
1539D4—2921no—
1540D4—2922no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4#1455663912yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—2921no—
1568C2×C4—2921no—
1569C2×C4—2922no—
1570C2×C4—2922no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—162no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—11682no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663911yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—2921no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360711yescharacteristic
1665C2#2262469911yescharacteristic
1666C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3081C2
socleC22×C73C23×D4
hypercenter#3081D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3081

Complements

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

NH ≅ G/Ntype
1. #22624572C2semidirect
2. #22623882C2semidirect
3. #22622847C2semidirect
4. #22622829C2semidirect
5. #22622697C2semidirect
6. #22622691C2semidirect
7. #22622477C2semidirect
8. #22622457C2semidirect
9. #22622447C2semidirect
10. #22622428C2semidirect
11. #22622351C2semidirect
12. #22622341C2semidirect
13. #22622088C2semidirect
14. #22622068C2semidirect
15. #22621964C2semidirect
16. #22621953C2semidirect
17. #22621778C2semidirect
18. #22621762C2semidirect
19. #22621403C2semidirect
20. #22621392C2semidirect
21. #22621256C2semidirect
22. #22621229C2semidirect
23. #22621213C2semidirect
24. #22621127C2semidirect
25. #22620122C2semidirect
26. #22620115C2semidirect
27. #22620045C2semidirect
28. #22619759C2semidirect
29. #22619712C2semidirect
30. #22619068C2semidirect
31. C73×#3081C2semidirect
35. #17989314C22semidirect
36. #17989311C22semidirect
41. #17989300C22semidirect
42. #17989298C22semidirect
43. #17989290C22semidirect
46. #17989272C22semidirect
56. #17989217C22semidirect
58. #17989211C22semidirect
61. #17989208C22semidirect
67. #17989142C22semidirect
69. #17989122C22semidirect
75. #17988997C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988983C22semidirect
83. #17988949C22semidirect
84. #17988945C22semidirect
85. #17988944C22semidirect
86. #17988940C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988930C22semidirect
90. #17988928C22semidirect
91. #17988928C22semidirect
92. #17988924C22semidirect
93. #17988917C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988913C22semidirect
97. #17988913C22semidirect
99. #17988911C22semidirect
101. #17988909C22semidirect
102. #17988909C22semidirect
105. #17988893C22semidirect
106. #17988893C22semidirect
107. #17988891C22semidirect
108. #17988890C22semidirect
112. #17988884C22semidirect
113. #17988883C22semidirect
114. #17988883C22semidirect
115. #17988881C22semidirect
117. #17988876C22semidirect
118. #17988876C22semidirect
119. #17988876C22semidirect
120. #17988874C22semidirect
121. #17988871C22semidirect
122. #17988869C22semidirect
123. #17988868C22semidirect
124. #17988868C22semidirect
125. #17988867C22semidirect
127. #17988846C22semidirect
130. #17988833C22semidirect
131. #17988828C22semidirect
132. #17988824C22semidirect
134. #17988822C22semidirect
135. #17988817C22semidirect
136. #17988817C22semidirect
138. #17988815C22semidirect
139. #17988810C22semidirect
140. #17988810C22semidirect
141. #17988808C22semidirect
142. #17988803C22semidirect
143. #17988803C22semidirect
145. #17988802C22semidirect
146. #17988801C22semidirect
155. #17988716C22semidirect
156. #17988714C22semidirect
157. #17988697C22semidirect
160. #17988693C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
166. C4×#11924016C22semidirect
167. #17988669C22semidirect
170. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988652C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988648C22semidirect
176. #17988647C22semidirect
177. #17988643C22semidirect
178. #17988626C22semidirect
179. #17988624C22semidirect
180. #17988624C22semidirect
181. #17988624C22semidirect
182. #17988612C22semidirect
183. C4⋊C8×D73C22semidirect
188. #544×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
195. #476×C73C22semidirect
197. #474×C73C22semidirect
198. #428×C73C22semidirect
199. #427×C73C22semidirect
200. #424×C73C22semidirect
862. #3081D73semidirect
865. C73#62159semidirect
891. #544C2×D73semidirect
951. #478C2×D73semidirect
952. #478C2×D73semidirect
962. #476C2×D73semidirect
970. #474C2×D73semidirect
1023. #428C2×D73semidirect
1027. #427C2×D73semidirect
1029. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245722
#226238822
#226228472
#226228292
#226226972
#226226912
#226224772
#226224572
#226224472
#226224282
#226223512
#226223412
#226220882
#226220682
#226219642
#226219532
#226217782
#226217622
#226214032
#226213922
#226212562
#226212292
#226212132
#226211272
#226201222
#226201152
#226200452
#226197592
#226197122
#226190682
C73×#30812
#6215973