Finite Group Databasebeta

← #33982792

Subgroups — #33982792

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#22624570C211yesmaximal, characteristic, complemented
2#22623879C211yesmaximal, characteristic, complemented
3#22622850C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622696C211yesmaximal, characteristic, complemented
6#22622690C211yesmaximal, characteristic, complemented
7#22622479C211yesmaximal, characteristic, complemented
8#22622467C211yesmaximal, characteristic, complemented
9#22622440C211yesmaximal, characteristic, complemented
10#22622429C211yesmaximal, characteristic, complemented
11#22622354C211yesmaximal, characteristic, complemented
12#22622339C211yesmaximal, characteristic, complemented
13#22622087C211yesmaximal, characteristic, complemented
14#22622068C211yesmaximal, characteristic, complemented
15#22621971C211yesmaximal, characteristic, complemented
16#22621945C211yesmaximal, characteristic, complemented
17#22621782C211yesmaximal, characteristic, complemented
18#22621399C211yesmaximal, characteristic, complemented
19#22621393C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22621233C211yesmaximal, characteristic, complemented
22#22621207C211yesmaximal, characteristic, complemented
23#22621126C211yesmaximal, characteristic, complemented
24#22620121C211yesmaximal, characteristic, complemented
25#22620116C211yesmaximal, characteristic, complemented
26#22620041C211yesmaximal, characteristic, complemented
27#22619761C211yesmaximal, characteristic, complemented
28#22619758C211yesmaximal, characteristic, complemented
29#22619715C211yesmaximal, characteristic, complemented
30#22619064C211yesmaximal, characteristic, complemented
31C73×#3296C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989319C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989308C2211yescharacteristic, complemented
38#17989305—21no—
39#17989302C2211yescharacteristic
40#17989302C2211yescharacteristic, complemented
41#17989301C2211yescharacteristic
42#17989293C2211yescharacteristic, complemented
43#17989285C2211yescharacteristic
44#17989281C2211yescharacteristic, complemented
45#17989275—21no—
46#17989271C2211yescharacteristic
47#17989263—21no—
48#17989260—21no—
49D4×Dic146C2211yescharacteristic
50#17989243—21no—
51#17989225C2211yescharacteristic
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989217C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic
57#17989210C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989208—21no—
60#17989206C2211yescharacteristic
61#17989203—21no—
62#17989196—21no—
63#17989180—21no—
64#17989174—21no—
65#17989172—21no—
66#17989140C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989123C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989114—21no—
71C2×#14556577—21no—
72#17989062C2211yescharacteristic
73#17989059C2211yescharacteristic
74#41×Dic73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988992C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988950C2211yescharacteristic
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988927C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic
99#17988908C2211yescharacteristic, complemented
100#17988905C2211yescharacteristic
101#17988899C2211yescharacteristic
102#17988896C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic, complemented
108#17988886C2211yescharacteristic, complemented
109#17988885C2211yescharacteristic
110#17988885C2211yescharacteristic
111#17988885C2211yescharacteristic, complemented
112#17988884C2211yescharacteristic, complemented
113#17988880C2211yescharacteristic, complemented
114#17988880C2211yescharacteristic, complemented
115#17988880C2211yescharacteristic, complemented
116#17988878C2211yescharacteristic, complemented
117#17988878C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic
121#17988875C2211yescharacteristic
122#17988875C2211yescharacteristic, complemented
123#17988872C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988867C2211yescharacteristic
126#17988866C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988842C2211yescharacteristic, complemented
132#17988839C2211yescharacteristic
133#17988835C2211yescharacteristic
134#17988835C2211yescharacteristic, complemented
135#17988823C2211yescharacteristic
136#17988823C2211yescharacteristic, complemented
137#17988821C2211yescharacteristic, complemented
138#17988819C2211yescharacteristic, complemented
139#17988818C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic
141#17988811C2211yescharacteristic, complemented
142#17988811C2211yescharacteristic, complemented
143#17988805C2211yescharacteristic, complemented
144#17988805C2211yescharacteristic, complemented
145#17988804C2211yescharacteristic
146#17988804C2211yescharacteristic, complemented
147#17988799C2211yescharacteristic, complemented
148#17988785C2211yescharacteristic
149#17988781C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988721C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988716C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988694C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic
162#17988688C2211yescharacteristic
163#17988685C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165C4×D584C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic
167#17988661C2211yescharacteristic
168#17988659C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic
170#17988655C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988646C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988627C2211yescharacteristic, complemented
177#17988625C2211yescharacteristic, complemented
178#17988625C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180#17988622C2211yescharacteristic, complemented
181#17988613C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988583C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#552×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#467×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C22×Dic146—21no—
205C22×C22⋊D73—21no—
206C2×D4×D73C2311yescharacteristic
207C2×#11924015C2311yescharacteristic
208C2×#11924015C2311yescharacteristic
209C2×D584C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924012C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C22×#10596831C2311yescharacteristic
215C2×C8×D73C2311yescharacteristic
216#14556591—21no—
217#14556591C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556590—21no—
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556587C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586D411yescharacteristic
234#14556585—21no—
235#14556585—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556582—21no—
242#14556582—21no—
243#14556582—21no—
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581D411yescharacteristic
251#14556580C2311yescharacteristic
252#14556580C2311yescharacteristic
253#14556579—21no—
254#14556578—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577D411yescharacteristic
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575D411yescharacteristic
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572D411yescharacteristic
281#14556571—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571—21no—
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568D411yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563D411yescharacteristic
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328C4×D292—21no—
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556549—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548C2311yescharacteristic
364#14556547—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73C2311yescharacteristic
367C2×C22⋊Dic73—21no—
368C2×C22⋊Dic73—21no—
369C2×#11924005—21no—
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C2×C4×Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
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×C73C2311yescharacteristic
436C22×D4×C73C2311yescharacteristic
437C2×Q16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924027—82no—
480C2×Dic146—21no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—82no—
488C2×Dic146C2×D411yescharacteristic
489C2×D292—21no—
490C2×D292C2411yescharacteristic
491C2×D292C2411yescharacteristic
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—82no—
501C2×C22⋊D73C2×D411yescharacteristic
502C2×C22⋊D73C2×D411yescharacteristic
503D4×D73—22no—
504D4×D73—41no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73C2×D411yescharacteristic
511C22×Dic73C2×D411yescharacteristic
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73C2411yescharacteristic
519#11924015—41no—
520#11924015—41no—
521D584—41no—
522#11924013—22no—
523#11924013—41no—
524#11924012—41no—
525#11924011—41no—
526C2×#10596831—41no—
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C8×D73—41no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73C2×D411yescharacteristic
543C4⋊Dic73C2×D411yescharacteristic
544C4⋊Dic73C2×D411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
564#11924007C2×D411yescharacteristic
565#11924007C2×D411yescharacteristic
566#11924007C2×D411yescharacteristic
567#11924007C2×D411yescharacteristic
568#11924007C2×D411yescharacteristic
569C22⋊Dic73—21no—
570C22⋊Dic73—21no—
571C22⋊Dic73—21no—
572C22⋊Dic73—21no—
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73C2×D411yescharacteristic
580C22⋊Dic73C2×D411yescharacteristic
581C22⋊Dic73C2×D411yescharacteristic
582C22⋊Dic73C2×D411yescharacteristic
583#11924005—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C24×C73—21no—
621#41×C73—22no—
622#41×C73—41no—
623C2×Q8×C73C2411yescharacteristic
624C2×Q8×C73C2411yescharacteristic
625C2×D4×C73—22no—
626C2×D4×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—41no—
630C2×D4×C73C2×D411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73C2411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638Q16×C73—41no—
639SD16×C73—22no—
640SD16×C73—41no—
641C2×C8×C73—41no—
642C2×C8×C73—41no—
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—42no—
675C23×C73—81no—
676C23×C73—81no—
677C23×C73C22×D411yescharacteristic
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—21no—
688Q8×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—41no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—81no—
696D4×C732−1+412yes—
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—42no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C2511yescharacteristic
715C22⋊D73—41no—
716C22⋊D73—41no—
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—41no—
732C2×Dic73—41no—
733C2×Dic73—42no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745D292—21no—
746D292—21no—
747D292—21no—
748D292—21no—
749D292—81no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758Dic146—41no—
759Dic146—42no—
760Dic146—81no—
761Dic146—81no—
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—21no—
777C22×C73—21no—
778C22×C73—22no—
779C22×C73—21no—
780C22×C73—21no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—162no—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73C2×2−1+411yescharacteristic
809C4×C73#58511yescharacteristic
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—41no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—41no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296D7311yescharacteristic, complemented
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#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—1461no—
881#552C2×D7311yescharacteristic, complemented
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—1461no—
888#546C2×D7311yescharacteristic
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#533—731no—
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501—731no—
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488C2×D7311yescharacteristic, complemented
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#484—731no—
929#483C2×D7311yescharacteristic, complemented
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#482C2×D7311yescharacteristic, complemented
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478C2×D7311yescharacteristic
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#468—731no—
974#468—731no—
975#467C2×D7311yescharacteristic, complemented
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465C2×D7311yescharacteristic, complemented
983#464—731no—
984#464—731no—
985#464C2×D7311yescharacteristic, complemented
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452C2×D7311yescharacteristic
994#450—731no—
995#450C2×D7311yescharacteristic
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×SD16C2×D7311yescharacteristic
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435—731no—
1017C8×D4—731no—
1018C8×D4C2×D7311yescharacteristic, complemented
1019#433—731no—
1020#433—731no—
1021#432—731no—
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427—731no—
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416C2×D7311yescharacteristic
1035C2×#102—731no—
1036C2×#102C2×D7311yescharacteristic
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—1461no—
1042C22×D4C22×D7311yescharacteristic
1043C2×Q16C22×D7311yescharacteristic
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
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—731no—
1063C4⋊Q8—731no—
1064C4⋊Q8—1461no—
1065C4⋊Q8—1461no—
1066C4⋊Q8—1461no—
1067#127—731no—
1068#126—21no—
1069#126—731no—
1070#126—731no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—21no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—731no—
1097#124—731no—
1098#124—1461no—
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#124C22×D7311yescharacteristic
1113#123—21no—
1114#123—21no—
1115#123—731no—
1116#123—731no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
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#121C22×D7311yescharacteristic
1167#120—21no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×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—731no—
1215#117—731no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C22⋊C4—21no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—731no—
1233C2×C42—1461no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
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#106—731no—
1255#106—731no—
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⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
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#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97—731no—
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—21no—
1313C24—1461no—
1314#41—22no—
1315#41—41no—
1316#41—5842no—
1317C2×Q8—5842no—
1318C2×Q8—731no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8C23×D7311yescharacteristic
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—22no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—41no—
1333C2×D4—2921no—
1334C2×D4—5842no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—731no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1462no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4D4×D7311yescharacteristic
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
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×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—2921no—
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—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—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⋊C4—1461no—
1437C4⋊C4D4×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—81no—
1510C23—81no—
1511C23—2922no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—1461no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—2921no—
1524Q8—2922no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—5841no—
1530Q8—5841no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—2922no—
1539D4—2921no—
1540D4—2921no—
1541D4—2922no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4#1455663812yes—
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—21no—
1564C2×C4—42no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—2922no—
1568C2×C4—2921no—
1569C2×C4—2921no—
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—5841no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—731no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
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—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—162no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—11682no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360211yescharacteristic
1665C2#2262470011yescharacteristic
1666C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3296C2
socleC22×C73C23×D4
hypercenter#3296D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #22624570C2semidirect
2. #22623879C2semidirect
3. #22622850C2semidirect
4. #22622833C2semidirect
5. #22622696C2semidirect
6. #22622690C2semidirect
7. #22622479C2semidirect
8. #22622467C2semidirect
9. #22622440C2semidirect
10. #22622429C2semidirect
11. #22622354C2semidirect
12. #22622339C2semidirect
13. #22622087C2semidirect
14. #22622068C2semidirect
15. #22621971C2semidirect
16. #22621945C2semidirect
17. #22621782C2semidirect
18. #22621399C2semidirect
19. #22621393C2semidirect
20. #22621252C2semidirect
21. #22621233C2semidirect
22. #22621207C2semidirect
23. #22621126C2semidirect
24. #22620121C2semidirect
25. #22620116C2semidirect
26. #22620041C2semidirect
27. #22619761C2semidirect
28. #22619758C2semidirect
29. #22619715C2semidirect
30. #22619064C2semidirect
31. C73×#3296C2semidirect
35. #17989316C22semidirect
37. #17989308C22semidirect
40. #17989302C22semidirect
42. #17989293C22semidirect
44. #17989281C22semidirect
54. #17989218C22semidirect
55. #17989217C22semidirect
57. #17989210C22semidirect
58. #17989209C22semidirect
66. #17989140C22semidirect
68. #17989123C22semidirect
75. #17988997C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988994C22semidirect
79. #17988992C22semidirect
80. #17988984C22semidirect
83. #17988948C22semidirect
84. #17988946C22semidirect
85. #17988943C22semidirect
86. #17988927C22semidirect
87. #17988927C22semidirect
88. #17988925C22semidirect
89. #17988925C22semidirect
90. #17988925C22semidirect
91. #17988921C22semidirect
92. #17988913C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988912C22semidirect
97. #17988911C22semidirect
99. #17988908C22semidirect
102. #17988896C22semidirect
103. #17988896C22semidirect
104. #17988892C22semidirect
107. #17988889C22semidirect
108. #17988886C22semidirect
111. #17988885C22semidirect
112. #17988884C22semidirect
113. #17988880C22semidirect
114. #17988880C22semidirect
115. #17988880C22semidirect
116. #17988878C22semidirect
117. #17988878C22semidirect
118. #17988876C22semidirect
119. #17988876C22semidirect
122. #17988875C22semidirect
123. #17988872C22semidirect
124. #17988870C22semidirect
126. #17988866C22semidirect
127. #17988866C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988842C22semidirect
134. #17988835C22semidirect
136. #17988823C22semidirect
137. #17988821C22semidirect
138. #17988819C22semidirect
139. #17988818C22semidirect
141. #17988811C22semidirect
142. #17988811C22semidirect
143. #17988805C22semidirect
144. #17988805C22semidirect
146. #17988804C22semidirect
147. #17988799C22semidirect
154. #17988717C22semidirect
155. #17988716C22semidirect
158. #17988696C22semidirect
159. #17988694C22semidirect
160. #17988690C22semidirect
163. #17988685C22semidirect
164. SD16×Dic73C22semidirect
165. C4×D584C22semidirect
168. #17988659C22semidirect
170. #17988655C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988646C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988628C22semidirect
176. #17988627C22semidirect
177. #17988625C22semidirect
178. #17988625C22semidirect
179. #17988623C22semidirect
180. #17988622C22semidirect
181. #17988613C22semidirect
182. #17988612C22semidirect
183. C2×#14556520C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #483×C73C22semidirect
192. #482×C73C22semidirect
194. #467×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
200. C8×D4×C73C22semidirect
851. #3296D73semidirect
865. C73#62159semidirect
881. #552C2×D73semidirect
922. #488C2×D73semidirect
929. #483C2×D73semidirect
938. #482C2×D73semidirect
975. #467C2×D73semidirect
982. #465C2×D73semidirect
985. #464C2×D73semidirect
1018. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245702
#226238792
#226228502
#226228332
#226226962
#226226902
#226224792
#226224672
#226224402
#226224292
#226223542
#226223392
#226220872
#226220682
#226219712
#226219452
#226217822
#226213992
#226213932
#226212522
#226212332
#226212072
#226211262
#226201212
#226201162
#226200412
#226197612
#226197582
#226197152
#226190642
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