Finite Group Databasebeta

← #33982812

Subgroups — #33982812

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#22624581C211yesmaximal, characteristic, complemented
2#22623888C211yesmaximal, characteristic, complemented
3#22622857C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622706C211yesmaximal, characteristic, complemented
6#22622680C211yesmaximal, characteristic, complemented
7#22622469C211yesmaximal, characteristic, complemented
8#22622457C211yesmaximal, characteristic, complemented
9#22622446C211yesmaximal, characteristic, complemented
10#22622435C211yesmaximal, characteristic, complemented
11#22622340C211yesmaximal, characteristic, complemented
12#22622081C211yesmaximal, characteristic, complemented
13#22622078C211yesmaximal, characteristic, complemented
14#22621965C211yesmaximal, characteristic, complemented
15#22621955C211yesmaximal, characteristic, complemented
16#22621776C211yesmaximal, characteristic, complemented
17#22621768C211yesmaximal, characteristic, complemented
18#22621403C211yesmaximal, characteristic, complemented
19#22621386C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22621227C211yesmaximal, characteristic, complemented
22#22621217C211yesmaximal, characteristic, complemented
23#22621126C211yesmaximal, characteristic, complemented
24#22620111C211yesmaximal, characteristic, complemented
25#22620110C211yesmaximal, characteristic, complemented
26#22620035C211yesmaximal, characteristic, complemented
27#22619765C211yesmaximal, characteristic, complemented
28#22619757C211yesmaximal, characteristic, complemented
29#22619717C211yesmaximal, characteristic, complemented
30#22619064C211yesmaximal, characteristic, complemented
31C73×#3341C211yesmaximal, characteristic, complemented
32#17989337—21no—
33#17989332—21no—
34#17989320C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989306—21no—
37#17989305C2211yescharacteristic
38#17989305C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic
40#17989296C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic
42#17989284C2211yescharacteristic, complemented
43#17989277C2211yescharacteristic, complemented
44#17989276C2211yescharacteristic
45#17989270—21no—
46#17989267—21no—
47#17989261—21no—
48#17989252C2211yescharacteristic
49#17989245—21no—
50#17989234C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989226—21no—
53#17989221C2211yescharacteristic
54#17989215C2211yescharacteristic, complemented
55#17989214C2211yescharacteristic, complemented
56#17989211C2211yescharacteristic
57#17989206—21no—
58#17989204C2211yescharacteristic
59#17989204C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic, complemented
61#17989201—21no—
62#17989199—21no—
63#17989182—21no—
64#17989171—21no—
65#17989169—21no—
66#17989140C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989118C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989115—21no—
71#124×D73—21no—
72#17989061C2211yescharacteristic
73#17989059C2211yescharacteristic
74#17989055C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic
81#17988950C2211yescharacteristic
82#17988949C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic
94#17988912C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic
99#17988902C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic
105#17988890C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic, complemented
107#17988888C2211yescharacteristic
108#17988887C2211yescharacteristic, complemented
109#17988886C2211yescharacteristic
110#17988886C2211yescharacteristic
111#17988886C2211yescharacteristic, complemented
112#17988881C2211yescharacteristic, complemented
113#17988881C2211yescharacteristic, complemented
114#17988881C2211yescharacteristic, complemented
115#17988876C2211yescharacteristic
116#17988876C2211yescharacteristic
117#17988876C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic, complemented
119#17988875C2211yescharacteristic, complemented
120#17988871C2211yescharacteristic, complemented
121#17988869C2211yescharacteristic, complemented
122#17988866C2211yescharacteristic
123#17988866C2211yescharacteristic, complemented
124#17988866C2211yescharacteristic, complemented
125#17988865C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic, complemented
127#17988864C2211yescharacteristic
128#17988846C2211yescharacteristic, complemented
129#17988839C2211yescharacteristic
130#17988831C2211yescharacteristic
131#17988831C2211yescharacteristic, complemented
132#17988828C2211yescharacteristic, complemented
133#17988821C2211yescharacteristic, complemented
134#17988817C2211yescharacteristic
135#17988816C2211yescharacteristic, complemented
136#17988815C2211yescharacteristic, complemented
137#17988814C2211yescharacteristic, complemented
138#17988810C2211yescharacteristic, complemented
139#17988808C2211yescharacteristic, complemented
140#17988808C2211yescharacteristic, complemented
141#17988802C2211yescharacteristic, complemented
142#17988801C2211yescharacteristic
143#17988801C2211yescharacteristic, complemented
144#17988800C2211yescharacteristic, complemented
145#17988800C2211yescharacteristic, complemented
146#17988786C2211yescharacteristic
147#17988780C2211yescharacteristic
148#17988751C2211yescharacteristic
149#17988740C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988720C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988716C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988693C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic
162#17988686C2211yescharacteristic
163#17988684C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic
165#17988674C2211yescharacteristic, 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#17988630C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988613C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988591C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988581C2211yescharacteristic
186C2×#14556513C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#555×C73C2211yescharacteristic
189#555×C73C2211yescharacteristic, complemented
190#500×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#466×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#427×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×Q8×D73—21no—
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×Dic292C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924012C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C22×#10596831C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556589—21no—
227#14556589—21no—
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556586D411yescharacteristic
231#14556585—21no—
232#14556585—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584D411yescharacteristic
244#14556583—21no—
245#14556583—21no—
246#14556583C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580—21no—
257#14556579—21no—
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578—21no—
261#14556578C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575D411yescharacteristic
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572D411yescharacteristic
285#14556571C2311yescharacteristic
286#14556571C2311yescharacteristic
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568D411yescharacteristic
304#14556567—21no—
305#14556567—21no—
306#14556567—21no—
307#14556566C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563D411yescharacteristic
315#14556562—21no—
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322Q8×Dic73—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146—21no—
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548C2311yescharacteristic
363#14556547—21no—
364#14556547—21no—
365C2×C4⋊Dic73C2311yescharacteristic
366C2×#11924007—21no—
367C4⋊C4×D73C2311yescharacteristic
368C2×#11924005—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C2×C4×Dic73C2311yescharacteristic
375C42×D73—21no—
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
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#14556516C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
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×D8×C73C2311yescharacteristic
436C22×C8×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440#124×C73—21no—
441#124×C73—21no—
442#124×C73—21no—
443#124×C73—21no—
444#121×C73—21no—
445#121×C73—21no—
446#121×C73C2311yescharacteristic
447#121×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73—21no—
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×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—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924027—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2×D411yescharacteristic
489C2×Dic146C2411yescharacteristic
490C2×Dic146C2411yescharacteristic
491Q8×D73—82no—
492C2×D292—22no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—41no—
496C2×D292C2411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73C2×D411yescharacteristic
505C2×C22⋊D73C2×D411yescharacteristic
506D4×D73—22no—
507D4×D73—41no—
508D4×D73—82no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73C2×D411yescharacteristic
514C22×Dic73C2×D411yescharacteristic
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73C2411yescharacteristic
524Dic292—41no—
525#11924017—22no—
526#11924017—41no—
527#11924016—41no—
528#11924016—41no—
529#11924013—22no—
530#11924013—41no—
531#11924012—41no—
532#11924011—41no—
533C2×#10596831—41no—
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C8×D73—41no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73C2×D411yescharacteristic
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73C2×D411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639D8×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×C73C2×D411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C22⋊C4×C73—21no—
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73C22×D411yescharacteristic
675C23×C73C22×D411yescharacteristic
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—42no—
679C22×D73—42no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—81no—
686Q8×C73—81no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—41no—
692D4×C73—81no—
693D4×C73—81no—
694D4×C73—81no—
695D4×C73—81no—
696C2×C4×C73—21no—
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—81no—
707C2×C4×C73—81no—
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C2511yescharacteristic
713C22⋊D73—41no—
714C22⋊D73—41no—
715C22⋊D73—42no—
716C22⋊D73—42no—
717C22⋊D73—42no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—41no—
728C2×Dic73—41no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740D292—21no—
741D292—21no—
742D292—21no—
743D292—42no—
744D292—81no—
745D2922−1+412yes—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—42no—
749C4×D73—42no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756Dic146—21no—
757Dic146—21no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
761Dic146—42no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—21no—
779C22×C73—21no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73C23×D411yescharacteristic
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—22no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—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—41no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—41no—
832D73—42no—
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#3341D7311yescharacteristic, complemented
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081—731no—
863#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#555C2×D7311yescharacteristic
875#555C2×D7311yescharacteristic, complemented
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—731no—
896#542—1461no—
897#542—1461no—
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#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#500C2×D7311yescharacteristic, complemented
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#484—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482C2×D7311yescharacteristic
936#482C2×D7311yescharacteristic, complemented
937#482C2×D7311yescharacteristic, complemented
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#478—731no—
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476C2×D7311yescharacteristic, complemented
962#476C2×D7311yescharacteristic, complemented
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#467—731no—
976#466—731no—
977#466C2×D7311yescharacteristic
978#466C2×D7311yescharacteristic, complemented
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8C2×D7311yescharacteristic, complemented
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#427C2×D7311yescharacteristic, complemented
1027#427C2×D7311yescharacteristic, complemented
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8C22×D7311yescharacteristic
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065C4⋊Q8C22×D7311yescharacteristic
1066C4⋊Q8C22×D7311yescharacteristic
1067#127—731no—
1068#126—731no—
1069#126—731no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#124—21no—
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—731no—
1100#124—731no—
1101#124—731no—
1102#124—731no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#123—731no—
1114#123—731no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
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⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150#121—21no—
1151#121—21no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121C22×D7311yescharacteristic
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×D4—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—1461no—
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×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117C22×D7311yescharacteristic
1220#117C22×D7311yescharacteristic
1221#117C22×D7311yescharacteristic
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—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#107C22×D7311yescharacteristic
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊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#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#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—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—731no—
1321C2×Q8—731no—
1322C2×Q8—731no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8—1461no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—2921no—
1333C2×D4—2921no—
1334C2×D4—5842no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—731no—
1339C2×D4—1462no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1462no—
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—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—41no—
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—731no—
1396C4⋊C4—731no—
1397C4⋊C4—731no—
1398C4⋊C4—731no—
1399C4⋊C4—731no—
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—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4D4×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C4⋊C4C23×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
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—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—2922no—
1509C23—2922no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—1461no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—2921no—
1522Q8—2922no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—41no—
1536D4—81no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—2922no—
1541D4—2922no—
1542D4—2921no—
1543D4—2921no—
1544D4—2922no—
1545D4—2922no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—5841no—
1550D4—732no—
1551D4—1461no—
1552D4—1461no—
1553D4—1461no—
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—81no—
1565C2×C4—81no—
1566C2×C4—2922no—
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—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—11682no—
1626C22—11682no—
1627C22—1462no—
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—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—2922no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360511yescharacteristic
1665C2#2262470011yescharacteristic
1666C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3341C2
socleC22×C73C23×D4
hypercenter#3341D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3341

Complements

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

NH ≅ G/Ntype
1. #22624581C2semidirect
2. #22623888C2semidirect
3. #22622857C2semidirect
4. #22622825C2semidirect
5. #22622706C2semidirect
6. #22622680C2semidirect
7. #22622469C2semidirect
8. #22622457C2semidirect
9. #22622446C2semidirect
10. #22622435C2semidirect
11. #22622340C2semidirect
12. #22622081C2semidirect
13. #22622078C2semidirect
14. #22621965C2semidirect
15. #22621955C2semidirect
16. #22621776C2semidirect
17. #22621768C2semidirect
18. #22621403C2semidirect
19. #22621386C2semidirect
20. #22621250C2semidirect
21. #22621227C2semidirect
22. #22621217C2semidirect
23. #22621126C2semidirect
24. #22620111C2semidirect
25. #22620110C2semidirect
26. #22620035C2semidirect
27. #22619765C2semidirect
28. #22619757C2semidirect
29. #22619717C2semidirect
30. #22619064C2semidirect
31. C73×#3341C2semidirect
35. #17989312C22semidirect
38. #17989305C22semidirect
40. #17989296C22semidirect
42. #17989284C22semidirect
43. #17989277C22semidirect
54. #17989215C22semidirect
55. #17989214C22semidirect
59. #17989204C22semidirect
60. #17989202C22semidirect
66. #17989140C22semidirect
68. #17989118C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988984C22semidirect
82. #17988949C22semidirect
83. #17988945C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
86. #17988930C22semidirect
87. #17988930C22semidirect
88. #17988928C22semidirect
89. #17988928C22semidirect
90. #17988928C22semidirect
91. #17988924C22semidirect
92. #17988918C22semidirect
94. #17988912C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988908C22semidirect
100. #17988897C22semidirect
101. #17988893C22semidirect
102. #17988893C22semidirect
105. #17988890C22semidirect
106. #17988889C22semidirect
108. #17988887C22semidirect
111. #17988886C22semidirect
112. #17988881C22semidirect
113. #17988881C22semidirect
114. #17988881C22semidirect
117. #17988876C22semidirect
118. #17988875C22semidirect
119. #17988875C22semidirect
120. #17988871C22semidirect
121. #17988869C22semidirect
123. #17988866C22semidirect
124. #17988866C22semidirect
125. #17988865C22semidirect
126. #17988865C22semidirect
128. #17988846C22semidirect
131. #17988831C22semidirect
132. #17988828C22semidirect
133. #17988821C22semidirect
135. #17988816C22semidirect
136. #17988815C22semidirect
137. #17988814C22semidirect
138. #17988810C22semidirect
139. #17988808C22semidirect
140. #17988808C22semidirect
141. #17988802C22semidirect
143. #17988801C22semidirect
144. #17988800C22semidirect
145. #17988800C22semidirect
154. #17988717C22semidirect
155. #17988716C22semidirect
158. #17988696C22semidirect
159. #17988693C22semidirect
160. #17988687C22semidirect
163. #17988684C22semidirect
165. #17988674C22semidirect
168. #17988659C22semidirect
170. #17988655C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988646C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988630C22semidirect
176. #17988626C22semidirect
177. #17988623C22semidirect
178. #17988622C22semidirect
179. #17988613C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
189. #555×C73C22semidirect
190. #500×C73C22semidirect
192. #482×C73C22semidirect
193. #482×C73C22semidirect
194. #482×C73C22semidirect
195. #476×C73C22semidirect
196. #476×C73C22semidirect
198. #466×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #427×C73C22semidirect
202. #427×C73C22semidirect
844. #3341D73semidirect
865. C73#62159semidirect
875. #555C2×D73semidirect
915. #500C2×D73semidirect
936. #482C2×D73semidirect
937. #482C2×D73semidirect
938. #482C2×D73semidirect
961. #476C2×D73semidirect
962. #476C2×D73semidirect
978. #466C2×D73semidirect
1012. C4×D8C2×D73semidirect
1018. C8×D4C2×D73semidirect
1026. #427C2×D73semidirect
1027. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245812
#226238882
#226228572
#226228252
#226227062
#226226802
#226224692
#226224572
#226224462
#226224352
#226223402
#226220812
#226220782
#226219652
#226219552
#226217762
#226217682
#226214032
#226213862
#226212502
#226212272
#226212172
#226211262
#226201112
#226201102
#226200352
#226197652
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C73×#33412
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