Finite Group Databasebeta

← #33982943

Subgroups — #33982943

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624532C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic
3#22622882C211yesmaximal, characteristic, complemented
4#22622879C211yesmaximal, characteristic, complemented
5#22622663C211yesmaximal, characteristic, complemented
6#22622658C211yesmaximal, characteristic, complemented
7#22622442C211yesmaximal, characteristic, complemented
8#22622439C211yesmaximal, characteristic, complemented
9#22622420C211yesmaximal, characteristic, complemented
10#22622416C211yesmaximal, characteristic, complemented
11#22622306C211yesmaximal, characteristic, complemented
12#22621958C211yesmaximal, characteristic, complemented
13#22621955C211yesmaximal, characteristic, complemented
14#22621950C211yesmaximal, characteristic, complemented
15#22621946C211yesmaximal, characteristic, complemented
16#22621756C211yesmaximal, characteristic, complemented
17#22621750C211yesmaximal, characteristic, complemented
18#22621376C211yesmaximal, characteristic, complemented
19#22621371C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22621187C211yesmaximal, characteristic, complemented
22#22621182C211yesmaximal, characteristic, complemented
23#22621118C211yesmaximal, characteristic, complemented
24#22620180C211yesmaximal, characteristic, complemented
25#22620179C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22619765C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29C2×#17988886C211yesmaximal, characteristic, complemented
30#22619064C211yesmaximal, characteristic, complemented
31C73×#3337C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989339—21no—
34#17989316C2211yescharacteristic, complemented
35#17989314C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic
37#17989295C2211yescharacteristic, complemented
38#17989294C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic
40#17989288—21no—
41#17989285C2211yescharacteristic
42#17989279C2211yescharacteristic, complemented
43#17989276C2211yescharacteristic, complemented
44#17989274—21no—
45#17989272C2211yescharacteristic, complemented
46#17989270—21no—
47#17989258C2211yescharacteristic
48#17989232—21no—
49#17989229—21no—
50#17989226—21no—
51D4×D292C2211yescharacteristic
52#17989221C2211yescharacteristic
53#17989221C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989215—21no—
56#17989215C2211yescharacteristic, complemented
57#17989200—21no—
58#17989197C2211yescharacteristic, complemented
59#17989195C2211yescharacteristic, complemented
60#17989194—21no—
61#17989193C2211yescharacteristic
62#17989190C2211yescharacteristic
63#17989181—21no—
64#17989176—21no—
65#17989173—21no—
66#17989139C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989117C2211yescharacteristic
69C2×#14556582C2211yescharacteristic, complemented
70#17989096—21no—
71#121×D73—21no—
72#17989061C2211yescharacteristic
73#17989059C2211yescharacteristic
74C2×#14556553C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988953C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988934C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988931C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988900C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic, complemented
108#17988886C2211yescharacteristic
109#17988886C2211yescharacteristic
110#17988886C2211yescharacteristic
111#17988886C2211yescharacteristic
112#17988886C2211yescharacteristic, complemented
113#17988886C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic, complemented
115#17988886C2211yescharacteristic, complemented
116#17988886C2211yescharacteristic, complemented
117#17988884C2211yescharacteristic
118#17988878C2211yescharacteristic
119#17988876C2211yescharacteristic
120#17988876C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988870C2211yescharacteristic, complemented
124#17988867C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic
126#17988866C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic, complemented
128#17988836C2211yescharacteristic, complemented
129#17988835C2211yescharacteristic, complemented
130#17988834C2211yescharacteristic, complemented
131#17988831C2211yescharacteristic, complemented
132#17988819C2211yescharacteristic, complemented
133#17988818C2211yescharacteristic, complemented
134#17988817C2211yescharacteristic, complemented
135#17988816C2211yescharacteristic, complemented
136#17988816C2211yescharacteristic, complemented
137#17988814C2211yescharacteristic, complemented
138#17988791C2211yescharacteristic
139#17988791C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic, complemented
141#17988790C2211yescharacteristic, complemented
142#17988788C2211yescharacteristic, complemented
143#17988787C2211yescharacteristic, complemented
144#17988786C2211yescharacteristic, complemented
145#17988786C2211yescharacteristic, complemented
146#17988785C2211yescharacteristic, complemented
147#17988785C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic
149#17988740C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988737C2211yescharacteristic
152#17988737C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988716C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic
157#17988690C2211yescharacteristic, complemented
158#17988690C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic
161#17988686C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic
164C4×#11924017C2211yescharacteristic
165#17988674C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988646C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988630C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178C2×#14556524C2211yescharacteristic, complemented
179#17988613C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988591C2211yescharacteristic
183#17988590C2211yescharacteristic
184C2×#14556513C2211yescharacteristic
185C2×#14556513C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#553×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#427×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924012C2311yescharacteristic
220C2×#11924011C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591—21no—
224#14556591—21no—
225#14556591C2311yescharacteristic
226#14556590—21no—
227#14556590—21no—
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556589C2311yescharacteristic
232#14556588C2311yescharacteristic
233#14556587C2311yescharacteristic
234#14556587C2311yescharacteristic
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584D411yescharacteristic
245#14556583—21no—
246#14556583—21no—
247#14556583—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582—21no—
252#14556582—21no—
253#14556582—21no—
254#14556582—21no—
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556582C2311yescharacteristic
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581D411yescharacteristic
270#14556579—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577D411yescharacteristic
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556575—21no—
278#14556575—21no—
279#14556575D411yescharacteristic
280#14556574—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572D411yescharacteristic
284#14556571—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556567C2311yescharacteristic
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563D411yescharacteristic
318#14556562—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556—21no—
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556550—21no—
356#14556550C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73—21no—
365C2×C4⋊Dic73C2311yescharacteristic
366C2×C4⋊Dic73C2311yescharacteristic
367C2×#11924007—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#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
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×SD16×C73C2311yescharacteristic
436C22×C8×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438#126×C73—21no—
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#123×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×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—
480C23×D73—21no—
481#11924028—82no—
482#11924027—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×D292—22no—
490C2×D292—22no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—41no—
498C2×D292—41no—
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—41no—
513D4×D73—82no—
514D4×D73—82no—
515D4×D73—82no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73C2×D411yescharacteristic
520C22×Dic73C2×D411yescharacteristic
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—82no—
531C2×C4×D73C2411yescharacteristic
532#11924017—22no—
533#11924017—41no—
534#11924017—41no—
535#11924016—41no—
536#11924015—22no—
537#11924015—41no—
538#11924015—41no—
539#11924012—41no—
540#11924011—41no—
541C2×#10596831—41no—
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C8×D73—41no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73C2×D411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639SD16×C73—41no—
640C2×C8×C73—41no—
641C2×C8×C73—41no—
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73C2×D411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C42×C73—21no—
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×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—42no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73—81no—
688C22×D73—81no—
689C22×D73—81no—
690C22×D73C22×D411yescharacteristic
691Q8×C73—21no—
692Q8×C73—21no—
693D4×C73—22no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—42no—
697D4×C73—81no—
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—21no—
709C2×C4×C73—42no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C2511yescharacteristic
717C22⋊D73—22no—
718C22⋊D73—41no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—42no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C2×Dic73—22no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—41no—
733C2×Dic73—81no—
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—42no—
750D292—81no—
751D292—81no—
752D292—81no—
753D292—81no—
754D2922−1+412yes—
755C4×D73—21no—
756C4×D73—21no—
757C4×D73—42no—
758C4×D73—42no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766Dic146—21no—
767Dic146—21no—
768Dic146—41no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—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—
805C2×D73—162no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73C2×2−1+411yescharacteristic
818C4×C73#58511yescharacteristic
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—21no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831#62164—731nomaximal, Sylow
832C2×C73—22no—
833C2×C73—41no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C2×#57711yescharacteristic
837C2×C73#358511yescharacteristic
838D73—41no—
839D73—42no—
840D73—81no—
841D73—81no—
842#3563—731no—
843#3519—731no—
844#3388—731no—
845#3388—731no—
846#3368—731no—
847#3368—731no—
848#3348—731no—
849#3348—731no—
850#3346—731no—
851#3346—731no—
852#3337—731no—
853#3337D7311yescharacteristic, complemented
854#3310—731no—
855#3310—731no—
856#3310—731no—
857#3310—731no—
858#3295—731no—
859#3295—731no—
860#3260—731no—
861#3260—731no—
862#3246—731no—
863#3241—731no—
864#3241—731no—
865#3234—731no—
866#3123—731no—
867#3123—731no—
868#3110—731no—
869#3081—731no—
870#3081—731no—
871C2×#478—731no—
872#2992—731no—
873C73#6216411yescharacteristic, complemented, Sylow
874#564—1461no—
875#563—1461no—
876#557—731no—
877#557—731no—
878#555—731no—
879#554—731no—
880#554—731no—
881#554—731no—
882#553—731no—
883#553—1461no—
884#553C2×D7311yescharacteristic
885#552—731no—
886#552—731no—
887#552—731no—
888#552—1461no—
889#552—1461no—
890#552C2×D7311yescharacteristic, complemented
891#550—731no—
892#546—1461no—
893#546—1461no—
894#546—1461no—
895D42—731no—
896D42—731no—
897D42—731no—
898#544—731no—
899#544—731no—
900#544—1461no—
901#541—731no—
902#541—731no—
903#541—1461no—
904#541—1461no—
905#540—731no—
906#540—731no—
907#539—1461no—
908#538—1461no—
909#538—1461no—
910#533—731no—
911#532—731no—
912#529—731no—
913C2×#125—731no—
914#525—1461no—
915C2×#121—1461no—
916#518—731no—
917#518—731no—
918C2×C4×D4—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#501—731no—
923#499—731no—
924#499C2×D7311yescharacteristic, complemented
925#490—731no—
926#490—731no—
927#490—731no—
928#490—731no—
929#486—731no—
930#486—731no—
931#485—731no—
932#485—731no—
933#485—731no—
934#485C2×D7311yescharacteristic, complemented
935#484—731no—
936#484C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482C2×D7311yescharacteristic, complemented
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#480—731no—
946#480—731no—
947#480—731no—
948#480C2×D7311yescharacteristic, complemented
949#479—731no—
950#479—731no—
951#479—731no—
952#479C2×D7311yescharacteristic, complemented
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478C2×D7311yescharacteristic, complemented
969#476—731no—
970#476—731no—
971#476—731no—
972#476—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#474—731no—
979#468—731no—
980#468—731no—
981#468—731no—
982#468—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465C2×D7311yescharacteristic, complemented
990#465C2×D7311yescharacteristic, complemented
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#460—731no—
998#460—731no—
999#460—731no—
1000#460—731no—
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#450—731no—
1007#446—731no—
1008#446—731no—
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×SD16—731no—
1020C4×SD16C2×D7311yescharacteristic, complemented
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024#435—731no—
1025C8×D4—731no—
1026C8×D4C2×D7311yescharacteristic, complemented
1027#433—731no—
1028#433—731no—
1029#432—731no—
1030#428—731no—
1031#428—731no—
1032#427—731no—
1033#427C2×D7311yescharacteristic, complemented
1034C2×#107—731no—
1035C2×#106C2×D7311yescharacteristic, complemented
1036#424—731no—
1037#424—731no—
1038C2×C4⋊C8—731no—
1039#418—731no—
1040#418—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#102—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×D4—731no—
1048C22×D4—731no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4—1461no—
1052C22×D4—1461no—
1053C23×C4—1461no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×SD16—731no—
1059C2×SD16—731no—
1060C2×SD16—731no—
1061C2×SD16C22×D7311yescharacteristic
1062C2×M16—731no—
1063C2×M16—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C22×C8C22×D7311yescharacteristic
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077#127—731no—
1078#127—731no—
1079#127—731no—
1080#126—21no—
1081#126—21no—
1082#126—731no—
1083#126—731no—
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#125—21no—
1093#125—731no—
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#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125—1461no—
1115#125—1461no—
1116#125—1461no—
1117#125—1461no—
1118#125C22×D7311yescharacteristic
1119#125C22×D7311yescharacteristic
1120#124—731no—
1121#124—1461no—
1122#124—1461no—
1123#124—1461no—
1124#123—21no—
1125#123—21no—
1126#123—731no—
1127#123—731no—
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—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155#121—21no—
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#120—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181#120—1461no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—1461no—
1189C4×Q8—1461no—
1190C4×Q8—1461no—
1191C4×Q8C22×D7311yescharacteristic
1192C4×D4—21no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—21no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117C22×D7311yescharacteristic
1227#117C22×D7311yescharacteristic
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C4⋊C4C22×D7311yescharacteristic
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C22⋊C4—1461no—
1241C2×C42—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265#106C22×D7311yescharacteristic
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⋊C8—731no—
1275C4⋊C8C22×D7311yescharacteristic
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
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#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8C22×D7311yescharacteristic
1313C22⋊C8C22×D7311yescharacteristic
1314#97—731no—
1315#97—731no—
1316#97—731no—
1317#97—731no—
1318C4×C8—731no—
1319C4×C8C22×D7311yescharacteristic
1320C24—1461no—
1321C24—1461no—
1322C24—1461no—
1323#41—5842no—
1324#41—5842no—
1325C2×Q8—731no—
1326C2×Q8—731no—
1327C2×Q8—1461no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8C23×D7311yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—2921no—
1335C2×D4—2921no—
1336C2×D4—2921no—
1337C2×D4—5842no—
1338C2×D4—5842no—
1339C2×D4—5842no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—1462no—
1346C2×D4—1462no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1462no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4D4×D7311yescharacteristic
1362C2×D4C23×D7311yescharacteristic
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×C4C23×D7311yescharacteristic
1383C22×C4C23×D7311yescharacteristic
1384SD16—41no—
1385SD16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390SD16—1462no—
1391SD16—1462no—
1392M16—2921no—
1393M16—2921no—
1394C2×C8—41no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—731no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8C23×D7311yescharacteristic
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C4⋊C4—21no—
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—731no—
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—1461no—
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⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4D4×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C4⋊C4C23×D7311yescharacteristic
1464C4⋊C4C23×D7311yescharacteristic
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
1478C22⋊C4—731no—
1479C22⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1500C22⋊C4D4×D7311yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—731no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42—1461no—
1516C42C23×D7311yescharacteristic
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—2922no—
1522C23—5841no—
1523C23—5841no—
1524C23—5841no—
1525C23—5841no—
1526C23—5841no—
1527C23—731no—
1528C23—1461no—
1529C23—1461no—
1530C23—1461no—
1531C23C2×D4×D7311yescharacteristic
1532C23C2×D4×D7311yescharacteristic
1533Q8—21no—
1534Q8—21no—
1535Q8—2921no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—1461no—
1541Q8—1461no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—42no—
1546D4—81no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2921no—
1551D4—2922no—
1552D4—2922no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—5841no—
1559D4—5841no—
1560D4—5841no—
1561D4—732no—
1562D4—1462no—
1563D4—1461no—
1564D4—1461no—
1565D4—1461no—
1566D4—1461no—
1567D4—1461no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—42no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—2922no—
1583C2×C4—2922no—
1584C2×C4—2921no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—5841no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—731no—
1601C2×C4—731no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1462no—
1608C2×C4—1461no—
1609C2×C4—1461no—
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C2×D4×D7311yescharacteristic
1614C2×C4C24×D7311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C8—1461no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—2921no—
1639C22—5844no—
1640C22—11682no—
1641C22—11682no—
1642C22—1461no—
1643C22—1462no—
1644C22—1461no—
1645C22—1461no—
1646C22#1798939412yes—
1647C22C22×D4×D7311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4—1461no—
1670C4—1461no—
1671C42−1+4×D7311yescharacteristic
1672C4#1798942311yescharacteristic
1673C2—22no—
1674C2—41no—
1675C2—81no—
1676C2—2922no—
1677C2—2921no—
1678C2—5841no—
1679C2—5841no—
1680C2#2262360511yescharacteristic
1681C2C2×#1798939411yescharacteristic
1682C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3337C2
socleC22×C73C23×D4
prime radical#22623959C2
hypercenter#3337D73
hypocenterC73#62164
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #22624532C2semidirect
3. #22622882C2semidirect
4. #22622879C2semidirect
5. #22622663C2semidirect
6. #22622658C2semidirect
7. #22622442C2semidirect
8. #22622439C2semidirect
9. #22622420C2semidirect
10. #22622416C2semidirect
11. #22622306C2semidirect
12. #22621958C2semidirect
13. #22621955C2semidirect
14. #22621950C2semidirect
15. #22621946C2semidirect
16. #22621756C2semidirect
17. #22621750C2semidirect
18. #22621376C2semidirect
19. #22621371C2semidirect
20. #22621242C2semidirect
21. #22621187C2semidirect
22. #22621182C2semidirect
23. #22621118C2semidirect
24. #22620180C2semidirect
25. #22620179C2semidirect
26. #22620027C2semidirect
27. #22619765C2semidirect
28. #22619761C2semidirect
29. C2×#17988886C2semidirect
30. #22619064C2semidirect
31. C73×#3337C2semidirect
34. #17989316C22semidirect
35. #17989314C22semidirect
37. #17989295C22semidirect
38. #17989294C22semidirect
42. #17989279C22semidirect
43. #17989276C22semidirect
45. #17989272C22semidirect
54. #17989217C22semidirect
56. #17989215C22semidirect
58. #17989197C22semidirect
59. #17989195C22semidirect
66. #17989139C22semidirect
69. C2×#14556582C22semidirect
75. #17988997C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988987C22semidirect
80. #17988953C22semidirect
81. #17988950C22semidirect
82. #17988950C22semidirect
83. #17988950C22semidirect
84. #17988934C22semidirect
85. #17988932C22semidirect
86. #17988931C22semidirect
87. #17988928C22semidirect
88. #17988926C22semidirect
89. #17988922C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988911C22semidirect
93. #17988907C22semidirect
94. #17988906C22semidirect
95. #17988906C22semidirect
96. #17988903C22semidirect
97. #17988902C22semidirect
98. #17988900C22semidirect
99. #17988898C22semidirect
100. #17988897C22semidirect
101. #17988892C22semidirect
102. #17988891C22semidirect
104. #17988890C22semidirect
105. #17988890C22semidirect
106. #17988889C22semidirect
107. #17988889C22semidirect
112. #17988886C22semidirect
113. #17988886C22semidirect
114. #17988886C22semidirect
115. #17988886C22semidirect
116. #17988886C22semidirect
120. #17988876C22semidirect
121. #17988875C22semidirect
122. #17988871C22semidirect
123. #17988870C22semidirect
124. #17988867C22semidirect
126. #17988866C22semidirect
127. #17988866C22semidirect
128. #17988836C22semidirect
129. #17988835C22semidirect
130. #17988834C22semidirect
131. #17988831C22semidirect
132. #17988819C22semidirect
133. #17988818C22semidirect
134. #17988817C22semidirect
135. #17988816C22semidirect
136. #17988816C22semidirect
137. #17988814C22semidirect
139. #17988791C22semidirect
140. #17988791C22semidirect
141. #17988790C22semidirect
142. #17988788C22semidirect
143. #17988787C22semidirect
144. #17988786C22semidirect
145. #17988786C22semidirect
146. #17988785C22semidirect
147. #17988785C22semidirect
154. #17988717C22semidirect
155. #17988716C22semidirect
157. #17988690C22semidirect
158. #17988690C22semidirect
159. #17988687C22semidirect
162. #17988686C22semidirect
165. #17988674C22semidirect
167. #17988661C22semidirect
168. #17988659C22semidirect
169. #17988658C22semidirect
170. #17988655C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988646C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988630C22semidirect
176. #17988628C22semidirect
177. #17988622C22semidirect
178. C2×#14556524C22semidirect
179. #17988613C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
189. #552×C73C22semidirect
190. #499×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #478×C73C22semidirect
197. #465×C73C22semidirect
198. #465×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #427×C73C22semidirect
202. C2×#106×C73C22semidirect
853. #3337D73semidirect
873. C73#62164semidirect
890. #552C2×D73semidirect
924. #499C2×D73semidirect
934. #485C2×D73semidirect
936. #484C2×D73semidirect
940. #482C2×D73semidirect
948. #480C2×D73semidirect
952. #479C2×D73semidirect
968. #478C2×D73semidirect
989. #465C2×D73semidirect
990. #465C2×D73semidirect
1020. C4×SD16C2×D73semidirect
1026. C8×D4C2×D73semidirect
1033. #427C2×D73semidirect
1035. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245322
#226239592
#226228822
#226228792
#226226632
#226226582
#226224422
#226224392
#226224202
#226224162
#226223062
#226219582
#226219552
#226219502
#226219462
#226217562
#226217502
#226213762
#226213712
#226212422
#226211872
#226211822
#226211182
#226201802
#226201792
#226200272
#226197652
#226197612
C2×#179888862
#226190642
C73×#33372
#6216473