Finite Group Databasebeta

← #33982719

Subgroups — #33982719

Order 18688.

1754 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624366C211yesmaximal, characteristic, complemented
2#22623866C211yesmaximal, characteristic, complemented
3#22622883C211yesmaximal, characteristic, complemented
4#22622835C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622695C211yesmaximal, characteristic, complemented
7#22622479C211yesmaximal, characteristic, complemented
8#22622401C211yesmaximal, characteristic, complemented
9#22622397C211yesmaximal, characteristic, complemented
10#22622390C211yesmaximal, characteristic, complemented
11#22622306C211yesmaximal, characteristic, complemented
12#22622070C211yesmaximal, characteristic, complemented
13#22622006C211yesmaximal, characteristic, complemented
14#22621973C211yesmaximal, characteristic, complemented
15#22621895C211yesmaximal, characteristic, complemented
16#22621783C211yesmaximal, characteristic, complemented
17#22621750C211yesmaximal, characteristic, complemented
18#22621400C211yesmaximal, characteristic, complemented
19#22621345C211yesmaximal, characteristic, complemented
20#22621279C211yesmaximal, characteristic, complemented
21#22621232C211yesmaximal, characteristic, complemented
22#22621188C211yesmaximal, characteristic, complemented
23#22621159C211yesmaximal, characteristic, complemented
24#22620203C211yesmaximal, characteristic, complemented
25#22620121C211yesmaximal, characteristic, complemented
26#22620072C211yesmaximal, characteristic, complemented
27#22619798C211yesmaximal, characteristic, complemented
28#22619757C211yesmaximal, characteristic, complemented
29C2×#17988876C211yesmaximal, characteristic, complemented
30#22619064C211yesmaximal, characteristic, complemented
31C73×#3335C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989338—21no—
34#17989320C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989298C2211yescharacteristic
38#17989295C2211yescharacteristic
39#17989285C2211yescharacteristic
40#17989285C2211yescharacteristic
41#17989283C2211yescharacteristic, complemented
42#17989282—21no—
43#17989272C2211yescharacteristic
44#17989264—21no—
45#17989260—21no—
46#17989252C2211yescharacteristic, complemented
47#17989250—21no—
48#17989246—21no—
49#17989238C2211yescharacteristic, complemented
50#17989234C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989225—21no—
53#17989221C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989214C2211yescharacteristic, complemented
56#17989211C2211yescharacteristic
57#17989210C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989196—21no—
60#17989190C2211yescharacteristic
61#17989186—21no—
62#17989183—21no—
63#17989179—21no—
64#17989173—21no—
65#17989160—21no—
66C2×#14556590C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic, complemented
68#17989118C2211yescharacteristic
69#17989117C2211yescharacteristic
70#17989094—21no—
71#123×D73—21no—
72#17989068C2211yescharacteristic
73#17989059C2211yescharacteristic
74C2×#14556553C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic
81#17988949C2211yescharacteristic, complemented
82#17988945C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988931C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988923C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic
96#17988905C2211yescharacteristic, complemented
97#17988903C2211yescharacteristic
98#17988900C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic
106#17988887C2211yescharacteristic, complemented
107#17988886C2211yescharacteristic
108#17988886C2211yescharacteristic
109#17988886C2211yescharacteristic, complemented
110#17988886C2211yescharacteristic, complemented
111#17988886C2211yescharacteristic, complemented
112#17988876C2211yescharacteristic
113#17988876C2211yescharacteristic
114#17988876C2211yescharacteristic
115#17988876C2211yescharacteristic
116#17988876C2211yescharacteristic
117#17988876C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic, complemented
121#17988874C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988871C2211yescharacteristic, complemented
124#17988871C2211yescharacteristic, complemented
125#17988865C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic, complemented
127#17988864C2211yescharacteristic
128#17988844C2211yescharacteristic, complemented
129#17988841C2211yescharacteristic
130#17988838C2211yescharacteristic, complemented
131#17988835C2211yescharacteristic, complemented
132#17988826C2211yescharacteristic, complemented
133#17988823C2211yescharacteristic, complemented
134#17988821C2211yescharacteristic
135#17988819C2211yescharacteristic
136#17988817C2211yescharacteristic, complemented
137#17988816C2211yescharacteristic, complemented
138#17988812C2211yescharacteristic, complemented
139#17988809C2211yescharacteristic, complemented
140#17988807C2211yescharacteristic, complemented
141#17988805C2211yescharacteristic
142#17988805C2211yescharacteristic, complemented
143#17988804C2211yescharacteristic, complemented
144#17988803C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988785C2211yescharacteristic
147#17988781C2211yescharacteristic
148#17988747C2211yescharacteristic
149#17988737C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988734C2211yescharacteristic
152#17988723C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988716C2211yescharacteristic, complemented
156#17988698C2211yescharacteristic
157#17988698C2211yescharacteristic
158#17988698C2211yescharacteristic, complemented
159#17988697C2211yescharacteristic, complemented
160#17988691C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic
162#17988690C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic
164#17988674C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic
166C4×D584C2211yescharacteristic
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic
171C8×C22⋊D73C2211yescharacteristic
172#17988646C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988627C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178C2×#14556522C2211yescharacteristic, complemented
179#17988613C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988586C2211yescharacteristic
184#17988584C2211yescharacteristic
185C2×#14556513C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#554×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#498×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic
194#481×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic
198#465×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201C2×#106×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C22×Dic146—21no—
206C2×Q8×D73—21no—
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C2×#11924018C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×#11924015C2311yescharacteristic
215C2×D584C2311yescharacteristic
216C2×D584C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924012C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222#14556590—21no—
223#14556590—21no—
224#14556590—21no—
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556589—21no—
232#14556587C2311yescharacteristic
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586D411yescharacteristic
242#14556585—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584D411yescharacteristic
246#14556583—21no—
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581D411yescharacteristic
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556579C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577D411yescharacteristic
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575D411yescharacteristic
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556572—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570—21no—
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563D411yescharacteristic
318#14556562—21no—
319#14556562—21no—
320#14556561—21no—
321#14556559—21no—
322#14556559—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553—21no—
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556550—21no—
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556549—21no—
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548C2311yescharacteristic
364#14556547—21no—
365C2×C4⋊Dic73C2311yescharacteristic
366C2×#11924007—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#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
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C2×SD16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C22×C8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#125×C73—21no—
442#123×C73—21no—
443#123×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448C22⋊Q8×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#106×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924028—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—82no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491Q8×D73—82no—
492C2×D292—22no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—41no—
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⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—82no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73C2×D411yescharacteristic
515C22×Dic73C2×D411yescharacteristic
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×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—82no—
528C2×C4×D73C2411yescharacteristic
529#11924018—41no—
530#11924017—41no—
531#11924015—22no—
532#11924015—41no—
533D584—22no—
534D584—41no—
535#11924013—41no—
536#11924012—41no—
537#11924011—41no—
538C2×#10596831—41no—
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C8×D73—41no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589C22⋊Dic73C2×D411yescharacteristic
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#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×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628#41×C73—82no—
629C2×Q8×C73—21no—
630C2×Q8×C73—21no—
631C2×Q8×C73C2411yescharacteristic
632C2×D4×C73—21no—
633C2×D4×C73—21no—
634C2×D4×C73C2×D411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73C2411yescharacteristic
642C22×C4×C73C2411yescharacteristic
643SD16×C73—41no—
644C2×C8×C73—41no—
645C2×C8×C73—41no—
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
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×C73—21no—
658C4⋊C4×C73—21no—
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—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73C22×D411yescharacteristic
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—42no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—81no—
691Q8×C73—81no—
692D4×C73—22no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—42no—
696D4×C73—81no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—42no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C2511yescharacteristic
718C22⋊D73—22no—
719C22⋊D73—41no—
720C22⋊D73—42no—
721C22⋊D73—42no—
722C22⋊D73—42no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C22⋊D73—81no—
727C2×Dic73—22no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—41no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743D292—21no—
744D292—21no—
745D292—21no—
746D292—21no—
747D292—21no—
748D292—42no—
749D292—81no—
750D292—81no—
751D2922−1+412yes—
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—42no—
755C4×D73—42no—
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—
765Dic146—21no—
766Dic146—21no—
767Dic146—41no—
768Dic146—42no—
769Dic146—42no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73#57712yes—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—22no—
794C2×D73—21no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C2×D73—162no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73C2×2−1+411yescharacteristic
817C4×C73#58511yescharacteristic
818Dic73—21no—
819Dic73—21no—
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—22no—
832C2×C73—41no—
833C2×C73—81no—
834C2×C73#348911yescharacteristic
835C2×C73C2×#57711yescharacteristic
836C2×C73#358511yescharacteristic
837D73—41no—
838D73—42no—
839D73—81no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335D7311yescharacteristic, complemented
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554C2×D7311yescharacteristic, complemented
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#547C2×D7311yescharacteristic
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#499—731no—
923#498C2×D7311yescharacteristic, complemented
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#483C2×D7311yescharacteristic, complemented
936#483C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481C2×D7311yescharacteristic
945#481C2×D7311yescharacteristic, complemented
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476C2×D7311yescharacteristic, complemented
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#465C2×D7311yescharacteristic
989#465C2×D7311yescharacteristic, complemented
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16C2×D7311yescharacteristic, complemented
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4C2×D7311yescharacteristic, complemented
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106C2×D7311yescharacteristic, complemented
1034C2×#106C2×D7311yescharacteristic, complemented
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—21no—
1045C2×#41—731no—
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×C8C22×D7311yescharacteristic
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
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—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—731no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124—1461no—
1115#123—21no—
1116#123—21no—
1117#123—731no—
1118#123—731no—
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—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8C22×D7311yescharacteristic
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—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×D4—1461no—
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—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—1461no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4C22×D7311yescharacteristic
1232C2×C4⋊C4C22×D7311yescharacteristic
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258#106C22×D7311yescharacteristic
1259#106C22×D7311yescharacteristic
1260#106C22×D7311yescharacteristic
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#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⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97—731no—
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—82no—
1322#41—2921no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—5842no—
1328C2×Q8—5842no—
1329C2×Q8—731no—
1330C2×Q8—731no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—2921no—
1340C2×D4—2921no—
1341C2×D4—5842no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1462no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1462no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4D4×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—5842no—
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×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—41no—
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—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
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⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—731no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—2922no—
1518C23—2922no—
1519C23—2922no—
1520C23—5841no—
1521C23—5841no—
1522C23—5841no—
1523C23—731no—
1524C23—1461no—
1525C23—1461no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—81no—
1532Q8—81no—
1533Q8—2921no—
1534Q8—2922no—
1535Q8—2922no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—22no—
1542D4—21no—
1543D4—21no—
1544D4—42no—
1545D4—81no—
1546D4—2922no—
1547D4—2922no—
1548D4—2922no—
1549D4—2921no—
1550D4—2922no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—732no—
1558D4—1462no—
1559D4—1461no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—42no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—2922no—
1581C2×C4—2922no—
1582C2×C4—2921no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—731no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—5844no—
1639C22—11682no—
1640C22—1462no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22#1798939312yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—81no—
1674C2—2922no—
1675C2—2921no—
1676C2—5841no—
1677C2—5841no—
1678C2#2262360511yescharacteristic
1679C2C2×#1798939311yescharacteristic
1680C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3335C2
socleC22×C73C23×D4
hypercenter#3335D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3335

Complements

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

NH ≅ G/Ntype
1. #22624366C2semidirect
2. #22623866C2semidirect
3. #22622883C2semidirect
4. #22622835C2semidirect
5. #22622726C2semidirect
6. #22622695C2semidirect
7. #22622479C2semidirect
8. #22622401C2semidirect
9. #22622397C2semidirect
10. #22622390C2semidirect
11. #22622306C2semidirect
12. #22622070C2semidirect
13. #22622006C2semidirect
14. #22621973C2semidirect
15. #22621895C2semidirect
16. #22621783C2semidirect
17. #22621750C2semidirect
18. #22621400C2semidirect
19. #22621345C2semidirect
20. #22621279C2semidirect
21. #22621232C2semidirect
22. #22621188C2semidirect
23. #22621159C2semidirect
24. #22620203C2semidirect
25. #22620121C2semidirect
26. #22620072C2semidirect
27. #22619798C2semidirect
28. #22619757C2semidirect
29. C2×#17988876C2semidirect
30. #22619064C2semidirect
31. C73×#3335C2semidirect
35. #17989313C22semidirect
36. #17989308C22semidirect
41. #17989283C22semidirect
46. #17989252C22semidirect
49. #17989238C22semidirect
54. #17989218C22semidirect
55. #17989214C22semidirect
57. #17989210C22semidirect
58. #17989209C22semidirect
66. C2×#14556590C22semidirect
67. #17989123C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988987C22semidirect
81. #17988949C22semidirect
82. #17988945C22semidirect
83. #17988945C22semidirect
84. #17988942C22semidirect
86. #17988931C22semidirect
87. #17988927C22semidirect
88. #17988923C22semidirect
89. #17988922C22semidirect
90. #17988919C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988908C22semidirect
96. #17988905C22semidirect
98. #17988900C22semidirect
99. #17988900C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988896C22semidirect
103. #17988892C22semidirect
104. #17988889C22semidirect
106. #17988887C22semidirect
109. #17988886C22semidirect
110. #17988886C22semidirect
111. #17988886C22semidirect
117. #17988876C22semidirect
118. #17988876C22semidirect
119. #17988876C22semidirect
120. #17988876C22semidirect
121. #17988874C22semidirect
122. #17988871C22semidirect
123. #17988871C22semidirect
124. #17988871C22semidirect
125. #17988865C22semidirect
126. #17988865C22semidirect
128. #17988844C22semidirect
130. #17988838C22semidirect
131. #17988835C22semidirect
132. #17988826C22semidirect
133. #17988823C22semidirect
136. #17988817C22semidirect
137. #17988816C22semidirect
138. #17988812C22semidirect
139. #17988809C22semidirect
140. #17988807C22semidirect
142. #17988805C22semidirect
143. #17988804C22semidirect
144. #17988803C22semidirect
145. #17988801C22semidirect
154. #17988717C22semidirect
155. #17988716C22semidirect
158. #17988698C22semidirect
159. #17988697C22semidirect
160. #17988691C22semidirect
162. #17988690C22semidirect
164. #17988674C22semidirect
167. #17988661C22semidirect
168. #17988659C22semidirect
169. #17988658C22semidirect
172. #17988646C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988627C22semidirect
176. #17988626C22semidirect
177. #17988622C22semidirect
178. C2×#14556522C22semidirect
179. #17988613C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
188. #554×C73C22semidirect
190. #498×C73C22semidirect
191. #483×C73C22semidirect
192. #483×C73C22semidirect
194. #481×C73C22semidirect
195. #476×C73C22semidirect
196. #475×C73C22semidirect
198. #465×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. C2×#106×C73C22semidirect
202. C2×#106×C73C22semidirect
852. #3335D73semidirect
872. C73#62156semidirect
880. #554C2×D73semidirect
923. #498C2×D73semidirect
935. #483C2×D73semidirect
936. #483C2×D73semidirect
945. #481C2×D73semidirect
970. #476C2×D73semidirect
974. #475C2×D73semidirect
989. #465C2×D73semidirect
1018. C4×SD16C2×D73semidirect
1025. C8×D4C2×D73semidirect
1033. C2×#106C2×D73semidirect
1034. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243662
#226238662
#226228832
#226228352
#226227262
#226226952
#226224792
#226224012
#226223972
#226223902
#226223062
#226220702
#226220062
#226219732
#226218952
#226217832
#226217502
#226214002
#226213452
#226212792
#226212322
#226211882
#226211592
#226202032
#226201212
#226200722
#226197982
#226197572
C2×#179888762
#226190642
C73×#33352
#6215673