Finite Group Databasebeta

← #33983069

Subgroups — #33983069

Order 18688.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624317C211yesmaximal, characteristic, complemented
2#22624001C211yesmaximal, characteristic, complemented
3#22622888C211yesmaximal, characteristic, complemented
4#22622834C211yesmaximal, characteristic, complemented
5#22622756C211yesmaximal, characteristic, complemented
6#22622652C211yesmaximal, characteristic, complemented
7#22622473C211yesmaximal, characteristic, complemented
8#22622447C211yesmaximal, characteristic, complemented
9#22622432C211yesmaximal, characteristic, complemented
10#22622367C211yesmaximal, characteristic, complemented
11#22622347C211yesmaximal, characteristic, complemented
12#22622329C211yesmaximal, characteristic, complemented
13#22622084C211yesmaximal, characteristic, complemented
14#22622083C211yesmaximal, characteristic, complemented
15#22621908C211yesmaximal, characteristic, complemented
16#22621893C211yesmaximal, characteristic, complemented
17#22621855C211yesmaximal, characteristic, complemented
18#22621778C211yesmaximal, characteristic, complemented
19#22621376C211yesmaximal, characteristic, complemented
20#22621344C211yesmaximal, characteristic, complemented
21#22621260C211yesmaximal, characteristic, complemented
22#22621229C211yesmaximal, characteristic, complemented
23#22621198C211yesmaximal, characteristic, complemented
24#22621176C211yesmaximal, characteristic, complemented
25#22620176C211yesmaximal, characteristic, complemented
26#22620130C211yesmaximal, characteristic, complemented
27#22620084C211yesmaximal, characteristic, complemented
28#22619755C211yesmaximal, characteristic, complemented
29#22619716C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3083C211yesmaximal, characteristic, complemented
32#17989335—21no—
33#17989333—21no—
34#17989310C2211yescharacteristic
35#17989309C2211yescharacteristic
36#17989303C2211yescharacteristic
37#17989300C2211yescharacteristic
38#17989300C2211yescharacteristic, complemented
39#17989294C2211yescharacteristic
40#17989293C2211yescharacteristic, complemented
41#17989290C2211yescharacteristic
42#17989285C2211yescharacteristic
43#17989285C2211yescharacteristic, complemented
44#17989283—21no—
45#17989272C2211yescharacteristic
46#17989270—21no—
47#17989269—21no—
48#17989266—21no—
49#17989261—21no—
50#17989252C2211yescharacteristic, complemented
51#17989247—21no—
52#17989238C2211yescharacteristic
53#17989236C2211yescharacteristic
54#17989232C2211yescharacteristic
55#17989225C2211yescharacteristic
56#17989214C2211yescharacteristic
57#17989211—21no—
58#17989208C2211yescharacteristic
59#17989207—21no—
60#17989195C2211yescharacteristic
61#17989193C2211yescharacteristic
62#17989192C2211yescharacteristic, complemented
63#17989184—21no—
64#17989170—21no—
65#17989167—21no—
66#17989162—21no—
67#17989143C2211yescharacteristic, complemented
68#17989138C2211yescharacteristic, complemented
69#17989124C2211yescharacteristic
70#17989117—21no—
71#17989115C2211yescharacteristic
72C2×#14556586—21no—
73#17989059C2211yescharacteristic
74C4×#11924027C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988949C2211yescharacteristic
83#17988948C2211yescharacteristic
84#17988948C2211yescharacteristic
85#17988944C2211yescharacteristic
86#17988936C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic
88#17988928C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic
90#17988927C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic
93#17988917C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic
95#17988914C2211yescharacteristic
96#17988914C2211yescharacteristic
97#17988914C2211yescharacteristic, complemented
98#17988914C2211yescharacteristic, complemented
99#17988913C2211yescharacteristic
100#17988913C2211yescharacteristic
101#17988911C2211yescharacteristic
102#17988905C2211yescharacteristic
103#17988905C2211yescharacteristic, complemented
104#17988900C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988894C2211yescharacteristic, complemented
107#17988891C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic
109#17988890C2211yescharacteristic, complemented
110#17988890C2211yescharacteristic, complemented
111#17988890C2211yescharacteristic, complemented
112#17988888C2211yescharacteristic
113#17988887C2211yescharacteristic
114#17988886C2211yescharacteristic, complemented
115#17988885C2211yescharacteristic
116#17988884C2211yescharacteristic
117#17988881C2211yescharacteristic, complemented
118#17988878C2211yescharacteristic, complemented
119#17988875C2211yescharacteristic
120#17988875C2211yescharacteristic
121#17988874C2211yescharacteristic
122#17988871C2211yescharacteristic, complemented
123#17988869C2211yescharacteristic, complemented
124#17988868C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic
126#17988865C2211yescharacteristic
127#17988840C2211yescharacteristic
128#17988836C2211yescharacteristic
129#17988834C2211yescharacteristic
130#17988833C2211yescharacteristic, complemented
131#17988824C2211yescharacteristic
132#17988824C2211yescharacteristic
133#17988823C2211yescharacteristic
134#17988819C2211yescharacteristic
135#17988819C2211yescharacteristic, complemented
136#17988819C2211yescharacteristic, complemented
137#17988817C2211yescharacteristic
138#17988816C2211yescharacteristic, complemented
139#17988805C2211yescharacteristic
140#17988805C2211yescharacteristic
141#17988803C2211yescharacteristic
142#17988803C2211yescharacteristic
143#17988791C2211yescharacteristic, complemented
144#17988791C2211yescharacteristic, complemented
145#17988788C2211yescharacteristic, complemented
146#17988787C2211yescharacteristic, complemented
147#17988783C2211yescharacteristic
148#17988782C2211yescharacteristic
149#17988733C2211yescharacteristic
150#17988733C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988732C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988722C2211yescharacteristic
155#17988716C2211yescharacteristic, complemented
156#17988714C2211yescharacteristic, complemented
157#17988698C2211yescharacteristic
158#17988697C2211yescharacteristic
159#17988696C2211yescharacteristic
160#17988696C2211yescharacteristic
161#17988696C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165C4×#11924015C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic
167C4×#11924013C2211yescharacteristic
168#17988667C2211yescharacteristic
169#17988658C2211yescharacteristic
170#17988657C2211yescharacteristic
171#17988656C2211yescharacteristic
172#17988656C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic
177#17988643C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic
179#17988624C2211yescharacteristic
180#17988624C2211yescharacteristic, complemented
181#17988622C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988580C2211yescharacteristic
186#17988580C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#477×C73C2211yescharacteristic, complemented
195#477×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic
197#474×C73C2211yescharacteristic
198#428×C73C2211yescharacteristic, complemented
199C2×#107×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C2×#11924017C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924015C2311yescharacteristic
211C2×#11924015C2311yescharacteristic
212C2×D584C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556589—21no—
225#14556589C2311yescharacteristic
226#14556588C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586D411yescharacteristic
238#14556585—21no—
239#14556585—21no—
240#14556584D411yescharacteristic
241#14556583—21no—
242#14556583C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581D411yescharacteristic
250#14556580—21no—
251#14556580—21no—
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556579—21no—
256#14556579—21no—
257#14556579C2311yescharacteristic
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577D411yescharacteristic
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576D411yescharacteristic
272#14556575—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573D411yescharacteristic
279#14556572—21no—
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569D411yescharacteristic
295#14556568—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564D411yescharacteristic
322#14556563—21no—
323#14556563—21no—
324#14556561—21no—
325#14556559—21no—
326C4×Dic146—21no—
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329#14556556—21no—
330#14556556—21no—
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556550—21no—
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548C2311yescharacteristic
366#14556547—21no—
367C2×C4⋊Dic73—21no—
368C2×#11924007—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C2×#11924005—21no—
372C2×#11924005—21no—
373C2×#11924005—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73—21no—
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73—21no—
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#125×C73—21no—
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452#117×C73—21no—
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73—21no—
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—82no—
480#11924028—82no—
481#11924027—22no—
482#11924027—41no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489Q8×D73—82no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292C2×D411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73C2×D411yescharacteristic
507C2×C22⋊D73C2×D411yescharacteristic
508D4×D73—22no—
509D4×D73—41no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526#11924017—41no—
527#11924017—41no—
528#11924015—41no—
529#11924015—41no—
530D584—41no—
531D584—41no—
532#11924013—22no—
533#11924013—22no—
534#11924011—41no—
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C8×D73—41no—
540C8×D73—41no—
541C8×D73—41no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
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#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73C2×D411yescharacteristic
579C22⋊Dic73C2×D411yescharacteristic
580#11924005—21no—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
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
625#41×C73—22no—
626#41×C73—41no—
627C2×Q8×C73—21no—
628C2×Q8×C73—21no—
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73—21no—
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2411yescharacteristic
638M16×C73—41no—
639C2×C8×C73—41no—
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73C2×D411yescharacteristic
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×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73C22×D411yescharacteristic
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—81no—
679C22×D73—81no—
680C22×D73C22×D411yescharacteristic
681C22×D73C22×D411yescharacteristic
682Q8×C73—21no—
683Q8×C73—21no—
684Q8×C73—81no—
685Q8×C73—81no—
686D4×C73—21no—
687D4×C73—42no—
688D4×C732−1+412yes—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—42no—
699C2×C4×C73—81no—
700C2×C4×C73—81no—
701C2×C4×C73—81no—
702C2×C4×C73—81no—
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C22×D411yescharacteristic
705C2×C4×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C2511yescharacteristic
709C22⋊D73—41no—
710C22⋊D73—41no—
711C22⋊D73—42no—
712C22⋊D73—42no—
713C22⋊D73—81no—
714C22⋊D73—81no—
715C22⋊D73—81no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—42no—
722C2×Dic73—81no—
723C2×Dic73—81no—
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730D292—21no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—41no—
737D292—81no—
738D292—81no—
739D292—81no—
740D292—81no—
741D292—81no—
742D292—81no—
743D292—81no—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—41no—
749C4×D73—41no—
750C4×D73—42no—
751C4×D73—42no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759Dic146—21no—
760Dic146—21no—
761Dic146—41no—
762Dic146—42no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—22no—
777C22×C73—21no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73C23×D411yescharacteristic
781C2×D73—21no—
782C2×D73—21no—
783C2×D73—21no—
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C4×C73—21no—
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×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822#62171—731nomaximal, Sylow
823C2×C73—42no—
824C2×C73—41no—
825C2×C73#348911yescharacteristic
826C2×C73#358411yescharacteristic
827C2×C73#358511yescharacteristic
828D73—41no—
829D73—41no—
830D73—81no—
831D73—81no—
832D73—81no—
833#3547—731no—
834#3521—731no—
835#3389—731no—
836#3384—731no—
837#3376—731no—
838#3367—731no—
839#3350—731no—
840#3348—731no—
841#3347—731no—
842#3343—731no—
843#3340—731no—
844#3339—731no—
845#3319—731no—
846#3319—731no—
847#3307—731no—
848#3306—731no—
849#3303—731no—
850#3297—731no—
851#3260—731no—
852#3257—731no—
853#3247—731no—
854#3244—731no—
855#3242—731no—
856#3240—731no—
857#3122—731no—
858#3119—731no—
859#3115—731no—
860#3083D7311yescharacteristic, complemented
861#3081—731no—
862#3076—731no—
863#2992—731no—
864C73#6217111yescharacteristic, complemented, Sylow
865#562—1461no—
866#562—1461no—
867#556—731no—
868#556—731no—
869#555—731no—
870#555—731no—
871#555—731no—
872#554—731no—
873#554—731no—
874#553—731no—
875#553—731no—
876#553—731no—
877#553—1461no—
878#552—731no—
879#552—1461no—
880#552—1461no—
881#551—1461no—
882#551—1461no—
883D4×Q8—731no—
884#548—1461no—
885#547—731no—
886#547—731no—
887#546—731no—
888#546—731no—
889#544—731no—
890#544C2×D7311yescharacteristic, complemented
891#542—731no—
892#542—1461no—
893#542—1461no—
894#541—731no—
895#540—731no—
896#540—731no—
897#539—1461no—
898#538—1461no—
899#537—1461no—
900#536—1461no—
901#533—731no—
902#532—731no—
903#529—731no—
904#529—731no—
905#529—1461no—
906C2×#126—1461no—
907#520C2×D7311yescharacteristic
908#518—731no—
909C4×#41—731no—
910#501—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#499—731no—
915#498—731no—
916#491—731no—
917#489—731no—
918#489—731no—
919#489—731no—
920#488—731no—
921#487—731no—
922#485—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#481—731no—
938#481—731no—
939#480—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479C2×D7311yescharacteristic, complemented
944#479C2×D7311yescharacteristic, complemented
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#478—731no—
954#478C2×D7311yescharacteristic
955#478C2×D7311yescharacteristic
956#477—731no—
957#477C2×D7311yescharacteristic, complemented
958#477C2×D7311yescharacteristic, complemented
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#474C2×D7311yescharacteristic
969#474C2×D7311yescharacteristic
970#469—731no—
971#468—731no—
972#468—731no—
973#468—731no—
974#466—731no—
975#466—731no—
976#466—731no—
977#465—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#463—731no—
983#463—731no—
984#463—731no—
985#463—731no—
986#461—731no—
987#461—731no—
988#460—731no—
989#460—731no—
990#459—731no—
991#459—731no—
992#449—731no—
993#449—731no—
994#449—731no—
995#449—731no—
996#447—731no—
997#447—731no—
998#446—731no—
999#446—731no—
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008C4×SD16—731no—
1009C4×D8—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012#435—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016C8×D4—731no—
1017C8×D4—731no—
1018#433—731no—
1019#433—731no—
1020#432—731no—
1021#428—731no—
1022#428C2×D7311yescharacteristic, complemented
1023#427—731no—
1024#427—731no—
1025#427—731no—
1026C2×#107C2×D7311yescharacteristic, complemented
1027#424—731no—
1028#424C2×D7311yescharacteristic, complemented
1029C2×C4⋊C8—731no—
1030#418—731no—
1031#417C2×D7311yescharacteristic
1032#416—731no—
1033#416—731no—
1034#416C2×D7311yescharacteristic
1035C2×#102—731no—
1036C2×#41—731no—
1037C2×#41—1461no—
1038C2×#41—1461no—
1039C2×#41C22×D7311yescharacteristic
1040C22×Q8—1461no—
1041C22×D4—731no—
1042C2×SD16—731no—
1043C2×SD16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×D8—731no—
1047C2×D8—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×M16—731no—
1051C2×M16C22×D7311yescharacteristic
1052C22×C8—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8C22×D7311yescharacteristic
1056C4⋊Q8—21no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8C22×D7311yescharacteristic
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—731no—
1067#126—731no—
1068#126—1461no—
1069#126—1461no—
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#125—21no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125C22×D7311yescharacteristic
1091#125C22×D7311yescharacteristic
1092#124—731no—
1093#124—731no—
1094#124—731no—
1095#124—1461no—
1096#124—1461no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#123—731no—
1105#123—731no—
1106#123—1461no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—731no—
1127C22⋊Q8—731no—
1128C22⋊Q8—731no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
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—
1145#121—731no—
1146#121—731no—
1147#121—731no—
1148#121—731no—
1149#121—731no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—1461no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#120—1461no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—1461no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×Q8C22×D7311yescharacteristic
1177C4×Q8C22×D7311yescharacteristic
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—731no—
1181C4×D4—731no—
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×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—21no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—1461no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117C22×D7311yescharacteristic
1219#117C22×D7311yescharacteristic
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—1461no—
1223C2×C4⋊C4—1461no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C4⋊C4C22×D7311yescharacteristic
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C42—731no—
1232C2×C42—1461no—
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107C22×D7311yescharacteristic
1240#107C22×D7311yescharacteristic
1241#107C22×D7311yescharacteristic
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#106—731no—
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#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257C4⋊C8—731no—
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8C22×D7311yescharacteristic
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267#103—731no—
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#103C22×D7311yescharacteristic
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299C22⋊C8—731no—
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305#97—731no—
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C24—1461no—
1312#41—22no—
1313#41—41no—
1314#41—2921no—
1315#41—5842no—
1316#41—5842no—
1317#41—1462no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—5842no—
1321C2×Q8—731no—
1322C2×Q8—731no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—2921no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
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×D4C23×D7311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—731no—
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×C4—1461no—
1370C22×C4—1461no—
1371C22×C4C23×D7311yescharacteristic
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379D8—1462no—
1380M16—41no—
1381M16—2921no—
1382C2×C8—41no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—2921no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8—731no—
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C2×C8C23×D7311yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
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—731no—
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⋊C4D4×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4D4×D7311yescharacteristic
1488C22⋊C4D4×D7311yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42C23×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C23—21no—
1506C23—2922no—
1507C23—5841no—
1508C23—5841no—
1509C23—731no—
1510C23—731no—
1511C23—1461no—
1512C23—1461no—
1513C23—1461no—
1514C23C2×D4×D7311yescharacteristic
1515Q8—21no—
1516Q8—21no—
1517Q8—81no—
1518Q8—81no—
1519Q8—2921no—
1520Q8—2922no—
1521Q8—5841no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—1461no—
1525Q8—1461no—
1526D4—21no—
1527D4—42no—
1528D4—2921no—
1529D4—2922no—
1530D4—2922no—
1531D4—2921no—
1532D4—2921no—
1533D4—5841no—
1534D4—5841no—
1535D4—5841no—
1536D4—5841no—
1537D4—5841no—
1538D4—5841no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—1461no—
1544D4—1461no—
1545D4—1461no—
1546D4—1461no—
1547D4—1461no—
1548D4—1461no—
1549D4#1455663912yes—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—42no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—2921no—
1565C2×C4—2921no—
1566C2×C4—2922no—
1567C2×C4—2922no—
1568C2×C4—2922no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4C2×D4×D7311yescharacteristic
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C24×D7311yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1461no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C22—21no—
1608C22—22no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—2921no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—11682no—
1623C22—1461no—
1624C22—1461no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22C22×D4×D7311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—1461no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4C2×#1455663911yescharacteristic
1654C4#1798942311yescharacteristic
1655C2—41no—
1656C2—42no—
1657C2—2921no—
1658C2—2921no—
1659C2—5841no—
1660C2—5841no—
1661C2—5841no—
1662C2#2262360711yescharacteristic
1663C2#2262470111yescharacteristic
1664C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3083C2
socleC22×C73C23×D4
hypercenter#3083D73
hypocenterC73#62171
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3083

Complements

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

NH ≅ G/Ntype
1. #22624317C2semidirect
2. #22624001C2semidirect
3. #22622888C2semidirect
4. #22622834C2semidirect
5. #22622756C2semidirect
6. #22622652C2semidirect
7. #22622473C2semidirect
8. #22622447C2semidirect
9. #22622432C2semidirect
10. #22622367C2semidirect
11. #22622347C2semidirect
12. #22622329C2semidirect
13. #22622084C2semidirect
14. #22622083C2semidirect
15. #22621908C2semidirect
16. #22621893C2semidirect
17. #22621855C2semidirect
18. #22621778C2semidirect
19. #22621376C2semidirect
20. #22621344C2semidirect
21. #22621260C2semidirect
22. #22621229C2semidirect
23. #22621198C2semidirect
24. #22621176C2semidirect
25. #22620176C2semidirect
26. #22620130C2semidirect
27. #22620084C2semidirect
28. #22619755C2semidirect
29. #22619716C2semidirect
30. #22619068C2semidirect
31. C73×#3083C2semidirect
38. #17989300C22semidirect
40. #17989293C22semidirect
43. #17989285C22semidirect
50. #17989252C22semidirect
62. #17989192C22semidirect
67. #17989143C22semidirect
68. #17989138C22semidirect
75. #17988997C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
80. #17988983C22semidirect
81. #17988954C22semidirect
86. #17988936C22semidirect
88. #17988928C22semidirect
90. #17988927C22semidirect
91. #17988926C22semidirect
93. #17988917C22semidirect
97. #17988914C22semidirect
98. #17988914C22semidirect
103. #17988905C22semidirect
104. #17988900C22semidirect
105. #17988895C22semidirect
106. #17988894C22semidirect
107. #17988891C22semidirect
109. #17988890C22semidirect
110. #17988890C22semidirect
111. #17988890C22semidirect
114. #17988886C22semidirect
117. #17988881C22semidirect
118. #17988878C22semidirect
122. #17988871C22semidirect
123. #17988869C22semidirect
124. #17988868C22semidirect
130. #17988833C22semidirect
135. #17988819C22semidirect
136. #17988819C22semidirect
138. #17988816C22semidirect
143. #17988791C22semidirect
144. #17988791C22semidirect
145. #17988788C22semidirect
146. #17988787C22semidirect
155. #17988716C22semidirect
156. #17988714C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
164. #17988685C22semidirect
165. C4×#11924015C22semidirect
172. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988648C22semidirect
177. #17988643C22semidirect
180. #17988624C22semidirect
181. #17988622C22semidirect
183. C4⋊C8×D73C22semidirect
188. #544×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
194. #477×C73C22semidirect
195. #477×C73C22semidirect
198. #428×C73C22semidirect
199. C2×#107×C73C22semidirect
200. #424×C73C22semidirect
860. #3083D73semidirect
864. C73#62171semidirect
890. #544C2×D73semidirect
943. #479C2×D73semidirect
944. #479C2×D73semidirect
957. #477C2×D73semidirect
958. #477C2×D73semidirect
1022. #428C2×D73semidirect
1026. C2×#107C2×D73semidirect
1028. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243172
#226240012
#226228882
#226228342
#226227562
#226226522
#226224732
#226224472
#226224322
#226223672
#226223472
#226223292
#226220842
#226220832
#226219082
#226218932
#226218552
#226217782
#226213762
#226213442
#226212602
#226212292
#226211982
#226211762
#226201762
#226201302
#226200842
#226197552
#226197162
#226190682
C73×#30832
#6217173