Finite Group Databasebeta

← #33982791

Subgroups — #33982791

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#22624580C211yesmaximal, characteristic, complemented
2#22623892C211yesmaximal, characteristic, complemented
3#22622847C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622702C211yesmaximal, characteristic, complemented
6#22622687C211yesmaximal, characteristic, complemented
7#22622473C211yesmaximal, characteristic, complemented
8#22622468C211yesmaximal, characteristic, complemented
9#22622442C211yesmaximal, characteristic, complemented
10#22622427C211yesmaximal, characteristic, complemented
11#22622351C211yesmaximal, characteristic, complemented
12#22622340C211yesmaximal, characteristic, complemented
13#22622083C211yesmaximal, characteristic, complemented
14#22622069C211yesmaximal, characteristic, complemented
15#22621963C211yesmaximal, characteristic, complemented
16#22621949C211yesmaximal, characteristic, complemented
17#22621782C211yesmaximal, characteristic, complemented
18#22621767C211yesmaximal, characteristic, complemented
19#22621400C211yesmaximal, characteristic, complemented
20#22621394C211yesmaximal, characteristic, complemented
21#22621258C211yesmaximal, characteristic, complemented
22#22621234C211yesmaximal, characteristic, complemented
23#22621219C211yesmaximal, characteristic, complemented
24#22621129C211yesmaximal, characteristic, complemented
25#22620122C211yesmaximal, characteristic, complemented
26#22620120C211yesmaximal, characteristic, complemented
27#22620040C211yesmaximal, characteristic, complemented
28#22619757C211yesmaximal, characteristic, complemented
29#22619755C211yesmaximal, characteristic, complemented
30#22619067C211yesmaximal, characteristic, complemented
31C73×#3076C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989333—21no—
34#17989322C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic
37#17989309—21no—
38#17989305C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic
40#17989300C2211yescharacteristic
41#17989300C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic, complemented
43#17989290C2211yescharacteristic
44#17989281C2211yescharacteristic, complemented
45#17989278—21no—
46#17989276C2211yescharacteristic, complemented
47#17989275C2211yescharacteristic
48#17989261—21no—
49#17989261—21no—
50D4×Dic146C2211yescharacteristic
51#17989246—21no—
52#17989233—21no—
53#17989225C2211yescharacteristic
54#17989225C2211yescharacteristic
55D4×D292C2211yescharacteristic
56#17989214C2211yescharacteristic, complemented
57#17989214C2211yescharacteristic, complemented
58#17989211C2211yescharacteristic, complemented
59#17989211C2211yescharacteristic, complemented
60#17989209—21no—
61#17989209C2211yescharacteristic
62#17989209C2211yescharacteristic
63#17989207—21no—
64#17989195—21no—
65#17989183—21no—
66#17989170—21no—
67#17989170—21no—
68#17989137C2211yescharacteristic
69#17989121—21no—
70#17989121C2211yescharacteristic
71#17989121C2211yescharacteristic, complemented
72C2×#14556579—21no—
73#17989059C2211yescharacteristic
74#17989059C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988997C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988953C2211yescharacteristic
82#17988953C2211yescharacteristic
83#17988948C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic
97#17988913C2211yescharacteristic, complemented
98#17988911C2211yescharacteristic, complemented
99#17988911C2211yescharacteristic, complemented
100#17988911C2211yescharacteristic, complemented
101#17988911C2211yescharacteristic, complemented
102#17988911C2211yescharacteristic, complemented
103#17988907C2211yescharacteristic
104#17988902C2211yescharacteristic
105#17988894C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988888C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic, complemented
110#17988887C2211yescharacteristic
111#17988886C2211yescharacteristic, complemented
112#17988885C2211yescharacteristic
113#17988883C2211yescharacteristic, complemented
114#17988881C2211yescharacteristic, complemented
115#17988878C2211yescharacteristic, complemented
116#17988876C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic
119#17988874C2211yescharacteristic, complemented
120#17988874C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988866C2211yescharacteristic, complemented
123#17988866C2211yescharacteristic, complemented
124#17988865C2211yescharacteristic
125#17988864C2211yescharacteristic, complemented
126#17988864C2211yescharacteristic, complemented
127#17988844C2211yescharacteristic, complemented
128#17988841C2211yescharacteristic
129#17988836C2211yescharacteristic, complemented
130#17988834C2211yescharacteristic
131#17988827C2211yescharacteristic, complemented
132#17988824C2211yescharacteristic
133#17988823C2211yescharacteristic, complemented
134#17988823C2211yescharacteristic, complemented
135#17988819C2211yescharacteristic, complemented
136#17988817C2211yescharacteristic
137#17988816C2211yescharacteristic, complemented
138#17988816C2211yescharacteristic, complemented
139#17988812C2211yescharacteristic, complemented
140#17988812C2211yescharacteristic, complemented
141#17988809C2211yescharacteristic, complemented
142#17988805C2211yescharacteristic, complemented
143#17988805C2211yescharacteristic, complemented
144#17988803C2211yescharacteristic, complemented
145#17988803C2211yescharacteristic, complemented
146#17988802C2211yescharacteristic
147#17988788C2211yescharacteristic
148#17988783C2211yescharacteristic
149#17988749C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988732C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988722C2211yescharacteristic
155#17988716C2211yescharacteristic, complemented
156#17988716C2211yescharacteristic, complemented
157#17988698C2211yescharacteristic, complemented
158#17988697C2211yescharacteristic
159#17988696C2211yescharacteristic
160#17988692C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic
165#17988678C2211yescharacteristic
166#17988674C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988658C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic
172#17988657C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988626C2211yescharacteristic, complemented
180#17988624C2211yescharacteristic, complemented
181#17988622C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988612C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988590C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#477×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic
196#475×C73C2211yescharacteristic, complemented
197#474×C73C2211yescharacteristic
198#427×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200C2×C4⋊C8×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic
203C2×#11924028—21no—
204C22×Dic146—21no—
205C22×D292—21no—
206C2×D4×D73C2311yescharacteristic
207C2×D4×D73C2311yescharacteristic
208C2×#11924018C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556590—21no—
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556589—21no—
227#14556589—21no—
228#14556588C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556585—21no—
236#14556585—21no—
237#14556585—21no—
238#14556585—21no—
239#14556585—21no—
240#14556585D411yescharacteristic
241#14556585D411yescharacteristic
242#14556584—21no—
243#14556584—21no—
244#14556583—21no—
245#14556583D411yescharacteristic
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580—21no—
255#14556580—21no—
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579—21no—
260#14556579—21no—
261#14556579—21no—
262#14556579—21no—
263#14556579—21no—
264#14556579—21no—
265#14556579—21no—
266#14556579D411yescharacteristic
267#14556579C2311yescharacteristic
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—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#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574D411yescharacteristic
284#14556574D411yescharacteristic
285#14556573—21no—
286#14556573—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570D411yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556565—21no—
313#14556565—21no—
314#14556565D411yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556563—21no—
323#14556563—21no—
324#14556561—21no—
325#14556561—21no—
326#14556559—21no—
327#14556559—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335C4×D292—21no—
336C4×D292—21no—
337C4×D292—21no—
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
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#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548C2311yescharacteristic
367#14556548C2311yescharacteristic
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×#11924005—21no—
372C2×#11924005—21no—
373C2×#11924005—21no—
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
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#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C22×C8×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442C22⋊Q8×C73—21no—
443C22⋊Q8×C73—21no—
444C4×Q8×C73—21no—
445C4×Q8×C73—21no—
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452#117×C73—21no—
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455#117×C73C2311yescharacteristic
456C2×C42×C73—21no—
457C2×C42×C73C2311yescharacteristic
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#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—82no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×D292—21no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—82no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73C2×D411yescharacteristic
506C2×C22⋊D73C2×D411yescharacteristic
507D4×D73—22no—
508D4×D73—22no—
509D4×D73—41no—
510D4×D73—41no—
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×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524#11924018—41no—
525#11924017—41no—
526#11924017—41no—
527#11924016—22no—
528#11924015—41no—
529D584—41no—
530D584—41no—
531#11924013—22no—
532#11924011—41no—
533#11924011—41no—
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C8×D73—41no—
539C8×D73—41no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73C2×D411yescharacteristic
546C4⋊Dic73C2×D411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551#11924007—21no—
552#11924007—21no—
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
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73C2×D411yescharacteristic
579C22⋊Dic73C2×D411yescharacteristic
580#11924005—21no—
581#11924005—21no—
582#11924005—21no—
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#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625#41×C73—22no—
626#41×C73—41no—
627C2×Q8×C73—21no—
628C2×Q8×C73—21no—
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73—21no—
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73C2×D411yescharacteristic
636C22×C4×C73C2×D411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638C2×C8×C73—41no—
639C2×C8×C73—41no—
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×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C42×C73—21no—
664C42×C73—21no—
665C42×C73—21no—
666C42×C73—21no—
667C42×C73—21no—
668C42×C73C2×D411yescharacteristic
669C42×C73C2×D411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73C22×D411yescharacteristic
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—42no—
679C22×D73—81no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688Q8×C73—81no—
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—21no—
701C2×C4×C73—41no—
702C2×C4×C73—41no—
703C2×C4×C73—42no—
704C2×C4×C73—42no—
705C2×C4×C73—81no—
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—41no—
713C22⋊D73—41no—
714C22⋊D73—42no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—81no—
725C2×Dic73—81no—
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—41no—
739D292—42no—
740D292—81no—
741D292—81no—
742D292—81no—
743D292—81no—
744D292—81no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—81no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
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×C73C23×D411yescharacteristic
781C2×D73—21no—
782C2×D73—21no—
783C2×D73—21no—
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
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×C73—41no—
810C4×C73C2×2−1+411yescharacteristic
811C4×C73#58511yescharacteristic
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73#348911yescharacteristic
827C2×C73#358411yescharacteristic
828C2×C73#358511yescharacteristic
829D73—41no—
830D73—41no—
831D73—81no—
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#3081—731no—
863#3076D7311yescharacteristic, complemented
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#544—731no—
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#533C2×D7311yescharacteristic, complemented
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41C2×D7311yescharacteristic
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#479C2×D7311yescharacteristic, complemented
943#479C2×D7311yescharacteristic, complemented
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478C2×D7311yescharacteristic
952#478C2×D7311yescharacteristic
953#477—731no—
954#477—731no—
955#477C2×D7311yescharacteristic, complemented
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476C2×D7311yescharacteristic
963#475—731no—
964#475C2×D7311yescharacteristic, complemented
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474C2×D7311yescharacteristic
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#428—731no—
1024#427—731no—
1025#427—731no—
1026#427C2×D7311yescharacteristic, complemented
1027#427C2×D7311yescharacteristic, complemented
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8C2×D7311yescharacteristic, complemented
1031#418—731no—
1032#418—731no—
1033#416C2×D7311yescharacteristic
1034#416C2×D7311yescharacteristic
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
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×M16—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8C22×D7311yescharacteristic
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
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—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—1461no—
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—21no—
1172C4×Q8—21no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
1181C4×Q8C22×D7311yescharacteristic
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—731no—
1195C4×D4—731no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
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—731no—
1225C2×C4⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—21no—
1233C2×C42C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
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#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
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—1461no—
1313C24—1461no—
1314#41—22no—
1315#41—41no—
1316#41—5842no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—731no—
1321C2×Q8—731no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—2921no—
1330C2×D4—2921no—
1331C2×D4—5842no—
1332C2×D4—731no—
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—1462no—
1345C2×D4—1462no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4D4×D7311yescharacteristic
1369C22×C4D4×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—2921no—
1380M16—2921no—
1381C2×C8—41no—
1382C2×C8—41no—
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—21no—
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—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
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⋊C4—1461no—
1435C4⋊C4—1461no—
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—731no—
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—731no—
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⋊C4—1461no—
1487C22⋊C4—1461no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—731no—
1494C42—731no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42D4×D7311yescharacteristic
1503C42D4×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—2922no—
1508C23—2922no—
1509C23—5841no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—731no—
1514C23—731no—
1515C23—1461no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—2922no—
1524Q8—2921no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—42no—
1533D4—2922no—
1534D4—2921no—
1535D4—2922no—
1536D4—2922no—
1537D4—2921no—
1538D4—2921no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—1461no—
1548D4—1461no—
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—21no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—81no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
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—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—11682no—
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—41no—
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—2921no—
1660C2—2921no—
1661C2—5841no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360711yescharacteristic
1665C2#2262470011yescharacteristic
1666C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3076C2
socleC22×C73C23×D4
hypercenter#3076D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3076

Complements

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

NH ≅ G/Ntype
1. #22624580C2semidirect
2. #22623892C2semidirect
3. #22622847C2semidirect
4. #22622833C2semidirect
5. #22622702C2semidirect
6. #22622687C2semidirect
7. #22622473C2semidirect
8. #22622468C2semidirect
9. #22622442C2semidirect
10. #22622427C2semidirect
11. #22622351C2semidirect
12. #22622340C2semidirect
13. #22622083C2semidirect
14. #22622069C2semidirect
15. #22621963C2semidirect
16. #22621949C2semidirect
17. #22621782C2semidirect
18. #22621767C2semidirect
19. #22621400C2semidirect
20. #22621394C2semidirect
21. #22621258C2semidirect
22. #22621234C2semidirect
23. #22621219C2semidirect
24. #22621129C2semidirect
25. #22620122C2semidirect
26. #22620120C2semidirect
27. #22620040C2semidirect
28. #22619757C2semidirect
29. #22619755C2semidirect
30. #22619067C2semidirect
31. C73×#3076C2semidirect
35. #17989314C22semidirect
38. #17989305C22semidirect
41. #17989300C22semidirect
42. #17989293C22semidirect
44. #17989281C22semidirect
46. #17989276C22semidirect
56. #17989214C22semidirect
57. #17989214C22semidirect
58. #17989211C22semidirect
59. #17989211C22semidirect
71. #17989121C22semidirect
75. #17988997C22semidirect
76. #17988997C22semidirect
77. #17988995C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988984C22semidirect
83. #17988948C22semidirect
84. #17988948C22semidirect
85. #17988943C22semidirect
86. #17988943C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988928C22semidirect
90. #17988927C22semidirect
91. #17988926C22semidirect
92. #17988921C22semidirect
93. #17988916C22semidirect
95. #17988914C22semidirect
97. #17988913C22semidirect
98. #17988911C22semidirect
99. #17988911C22semidirect
100. #17988911C22semidirect
101. #17988911C22semidirect
102. #17988911C22semidirect
105. #17988894C22semidirect
106. #17988890C22semidirect
108. #17988888C22semidirect
109. #17988888C22semidirect
111. #17988886C22semidirect
113. #17988883C22semidirect
114. #17988881C22semidirect
115. #17988878C22semidirect
116. #17988876C22semidirect
117. #17988876C22semidirect
119. #17988874C22semidirect
120. #17988874C22semidirect
121. #17988871C22semidirect
122. #17988866C22semidirect
123. #17988866C22semidirect
125. #17988864C22semidirect
126. #17988864C22semidirect
127. #17988844C22semidirect
129. #17988836C22semidirect
131. #17988827C22semidirect
133. #17988823C22semidirect
134. #17988823C22semidirect
135. #17988819C22semidirect
137. #17988816C22semidirect
138. #17988816C22semidirect
139. #17988812C22semidirect
140. #17988812C22semidirect
141. #17988809C22semidirect
142. #17988805C22semidirect
143. #17988805C22semidirect
144. #17988803C22semidirect
145. #17988803C22semidirect
155. #17988716C22semidirect
156. #17988716C22semidirect
157. #17988698C22semidirect
160. #17988692C22semidirect
162. #17988686C22semidirect
163. #17988685C22semidirect
166. #17988674C22semidirect
167. #17988669C22semidirect
169. #17988658C22semidirect
170. #17988658C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988647C22semidirect
177. #17988644C22semidirect
178. #17988628C22semidirect
179. #17988626C22semidirect
180. #17988624C22semidirect
181. #17988622C22semidirect
182. #17988612C22semidirect
183. #17988612C22semidirect
188. #533×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
194. #477×C73C22semidirect
196. #475×C73C22semidirect
198. #427×C73C22semidirect
199. #427×C73C22semidirect
200. C2×C4⋊C8×C73C22semidirect
863. #3076D73semidirect
865. C73#62159semidirect
902. #533C2×D73semidirect
942. #479C2×D73semidirect
943. #479C2×D73semidirect
955. #477C2×D73semidirect
964. #475C2×D73semidirect
1026. #427C2×D73semidirect
1027. #427C2×D73semidirect
1030. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245802
#226238922
#226228472
#226228332
#226227022
#226226872
#226224732
#226224682
#226224422
#226224272
#226223512
#226223402
#226220832
#226220692
#226219632
#226219492
#226217822
#226217672
#226214002
#226213942
#226212582
#226212342
#226212192
#226211292
#226201222
#226201202
#226200402
#226197572
#226197552
#226190672
C73×#30762
#6215973