Finite Group Databasebeta

← #33982955

Subgroups — #33982955

Order 18688.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624527C211yesmaximal, characteristic, complemented
2#22623981C211yesmaximal, characteristic
3#22622852C211yesmaximal, characteristic, complemented
4#22622775C211yesmaximal, characteristic, complemented
5#22622773C211yesmaximal, characteristic, complemented
6#22622385C211yesmaximal, characteristic, complemented
7#22622383C211yesmaximal, characteristic, complemented
8#22622370C211yesmaximal, characteristic, complemented
9#22622368C211yesmaximal, characteristic, complemented
10#22622323C211yesmaximal, characteristic, complemented
11#22622322C211yesmaximal, characteristic, complemented
12#22622032C211yesmaximal, characteristic, complemented
13#22622024C211yesmaximal, characteristic, complemented
14#22622017C211yesmaximal, characteristic, complemented
15#22622009C211yesmaximal, characteristic, complemented
16#22621771C211yesmaximal, characteristic, complemented
17#22621763C211yesmaximal, characteristic, complemented
18#22621364C211yesmaximal, characteristic, complemented
19#22621356C211yesmaximal, characteristic, complemented
20#22621275C211yesmaximal, characteristic, complemented
21#22621217C211yesmaximal, characteristic, complemented
22#22621215C211yesmaximal, characteristic, complemented
23#22621138C211yesmaximal, characteristic, complemented
24#22620149C211yesmaximal, characteristic, complemented
25#22620141C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22619783C211yesmaximal, characteristic, complemented
28#22619777C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3386C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989336—21no—
34#17989315C2211yescharacteristic, complemented
35#17989310C2211yescharacteristic
36#17989298C2211yescharacteristic
37#17989298C2211yescharacteristic
38#17989298C2211yescharacteristic
39#17989297C2211yescharacteristic
40#17989279—21no—
41#17989278—21no—
42#17989278C2211yescharacteristic
43#17989278C2211yescharacteristic, complemented
44#17989275C2211yescharacteristic
45#17989275C2211yescharacteristic, complemented
46#17989269—21no—
47#17989264—21no—
48#17989264—21no—
49#17989248—21no—
50#17989241C2211yescharacteristic
51#17989240C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989232C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989214—21no—
56#17989214C2211yescharacteristic, complemented
57#17989211C2211yescharacteristic
58#17989211C2211yescharacteristic
59#17989196—21no—
60#17989195—21no—
61#17989195C2211yescharacteristic, complemented
62#17989195C2211yescharacteristic, complemented
63#17989186—21no—
64#17989186—21no—
65#17989185—21no—
66#17989142C2211yescharacteristic
67#17989141C2211yescharacteristic
68#17989124C2211yescharacteristic
69#125×D73C2211yescharacteristic
70#17989100—21no—
71C2×#14556567—21no—
72#17989066C2211yescharacteristic
73#17989066C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988993C2211yescharacteristic, complemented
76#17988993C2211yescharacteristic, complemented
77#17988990C2211yescharacteristic, complemented
78#17988957C2211yescharacteristic, complemented
79#17988956C2211yescharacteristic, complemented
80#17988949C2211yescharacteristic
81#17988947C2211yescharacteristic
82#17988944C2211yescharacteristic
83#17988942C2211yescharacteristic
84#17988931C2211yescharacteristic, complemented
85#17988930C2211yescharacteristic, complemented
86#17988924C2211yescharacteristic
87#17988924C2211yescharacteristic
88#17988924C2211yescharacteristic
89#17988924C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic
93#17988921C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic
95#17988919C2211yescharacteristic
96#17988919C2211yescharacteristic, complemented
97#17988916C2211yescharacteristic, complemented
98#17988914C2211yescharacteristic
99#17988913C2211yescharacteristic
100#17988902C2211yescharacteristic
101#17988902C2211yescharacteristic
102#17988897C2211yescharacteristic, complemented
103#17988897C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988893C2211yescharacteristic, complemented
106#17988893C2211yescharacteristic, complemented
107#17988891C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic
109#17988889C2211yescharacteristic
110#17988888C2211yescharacteristic
111#17988887C2211yescharacteristic
112#17988887C2211yescharacteristic
113#17988886C2211yescharacteristic
114#17988885C2211yescharacteristic
115#17988884C2211yescharacteristic
116#17988883C2211yescharacteristic, complemented
117#17988881C2211yescharacteristic, complemented
118#17988881C2211yescharacteristic, complemented
119#17988879C2211yescharacteristic, complemented
120#17988879C2211yescharacteristic, complemented
121#17988879C2211yescharacteristic, complemented
122#17988869C2211yescharacteristic, complemented
123#17988867C2211yescharacteristic
124#17988866C2211yescharacteristic
125#17988865C2211yescharacteristic
126#17988846C2211yescharacteristic, complemented
127#17988844C2211yescharacteristic, complemented
128#17988836C2211yescharacteristic
129#17988834C2211yescharacteristic
130#17988829C2211yescharacteristic
131#17988829C2211yescharacteristic
132#17988829C2211yescharacteristic, complemented
133#17988827C2211yescharacteristic
134#17988827C2211yescharacteristic
135#17988827C2211yescharacteristic, complemented
136#17988819C2211yescharacteristic
137#17988817C2211yescharacteristic
138#17988810C2211yescharacteristic
139#17988810C2211yescharacteristic
140#17988809C2211yescharacteristic
141#17988809C2211yescharacteristic
142#17988798C2211yescharacteristic, complemented
143#17988797C2211yescharacteristic, complemented
144#17988796C2211yescharacteristic, complemented
145#17988796C2211yescharacteristic, complemented
146#17988791C2211yescharacteristic
147#17988790C2211yescharacteristic
148#17988750C2211yescharacteristic
149#17988750C2211yescharacteristic
150#17988746C2211yescharacteristic
151#17988746C2211yescharacteristic
152#17988739C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988695C2211yescharacteristic, complemented
156#17988692C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988687C2211yescharacteristic
160#17988685C2211yescharacteristic
161C4×Dic292C2211yescharacteristic, complemented
162C4×#11924018C2211yescharacteristic, complemented
163C4×#11924016C2211yescharacteristic
164#17988660C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic
169#17988652C2211yescharacteristic
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#107×D73C2211yescharacteristic
176#107×D73C2211yescharacteristic, complemented
177#107×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic
182#17988585C2211yescharacteristic
183#17988585C2211yescharacteristic
184#17988580C2211yescharacteristic
185#17988580C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#557×C73C2211yescharacteristic, complemented
189D4×Q8×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#500×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#478×C73C2211yescharacteristic
195#477×C73C2211yescharacteristic, complemented
196#477×C73C2211yescharacteristic, complemented
197#475×C73C2211yescharacteristic, complemented
198#474×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202C4×SD16×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×D4×D73C2311yescharacteristic
207C22×C4×D73—21no—
208C2×Dic292C2311yescharacteristic
209C2×Dic292C2311yescharacteristic
210C2×#11924018C2311yescharacteristic
211C2×#11924018C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924015C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556589—21no—
226#14556589—21no—
227#14556589C2311yescharacteristic
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#14556586D411yescharacteristic
237#14556586D411yescharacteristic
238#14556585—21no—
239#14556585—21no—
240#14556585—21no—
241#14556585—21no—
242#14556583—21no—
243#14556583—21no—
244#14556583—21no—
245#14556583C2311yescharacteristic
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582—21no—
252#14556582—21no—
253#14556582D411yescharacteristic
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556580—21no—
268#14556580—21no—
269#14556580D411yescharacteristic
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576D411yescharacteristic
281#14556576D411yescharacteristic
282#14556575—21no—
283#14556575—21no—
284#14556575—21no—
285#14556575—21no—
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556571C2311yescharacteristic
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic
293#14556571C2311yescharacteristic
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567—21no—
309#14556567—21no—
310#14556567—21no—
311#14556567D411yescharacteristic
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556566D411yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556561—21no—
322#14556561—21no—
323Q8×Dic73—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556549—21no—
350#14556549—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556548C2311yescharacteristic
360#14556547—21no—
361#14556547—21no—
362C2×C4⋊Dic73—21no—
363C2×#11924007—21no—
364C2×#11924007—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C42×D73C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C22×Q8×C73—21no—
436C2×SD16×C73C2311yescharacteristic
437C4⋊Q8×C73—21no—
438C4⋊Q8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#125×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C4×Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—82no—
480#11924027—22no—
481#11924027—22no—
482#11924027—41no—
483#11924027—41no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146C2411yescharacteristic
487C2×Dic146C2411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×D292—21no—
490C2×D292—21no—
491C2×D292C2×D411yescharacteristic
492C2×D292C2×D411yescharacteristic
493C2×D292C2×D411yescharacteristic
494C2×D292C2411yescharacteristic
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498D4×D73—22no—
499D4×D73—41no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C2×C4×D73—21no—
504C2×C4×D73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—82no—
513C2×C4×D73C2×D411yescharacteristic
514C2×C4×D73C2×D411yescharacteristic
515C2×C4×D73C2411yescharacteristic
516C2×C4×D73C2411yescharacteristic
517C2×C4×D73C2411yescharacteristic
518Dic292—41no—
519Dic292—41no—
520#11924018—41no—
521#11924018—41no—
522#11924017—41no—
523#11924016—22no—
524#11924015—41no—
525#11924011—41no—
526#11924011—41no—
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C8×D73—41no—
532C8×D73—41no—
533C8×D73—41no—
534C8×D73—41no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584C22⋊Dic73—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#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C2×Q8×C73—21no—
628C2×Q8×C73—21no—
629C2×Q8×C73—21no—
630C2×Q8×C73—21no—
631C2×Q8×C73—82no—
632C2×Q8×C73C2×D411yescharacteristic
633C2×Q8×C73C2411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638SD16×C73—22no—
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C42×C73—21no—
667C42×C73—21no—
668C42×C73—21no—
669C42×C73C2411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C22×D73—21no—
674C22×D73—42no—
675C22×D73—42no—
676C22×D73—81no—
677C22×D73C22×D411yescharacteristic
678C22×D73C22×D411yescharacteristic
679C22×D73C22×D411yescharacteristic
680Q8×C73—21no—
681Q8×C73—21no—
682Q8×C73—41no—
683Q8×C73—42no—
684Q8×C73—81no—
685Q8×C73—81no—
686Q8×C73—81no—
687D4×C73—21no—
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—42no—
697C2×C4×C73—81no—
698C2×C4×C73—81no—
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C22×D411yescharacteristic
701C2×C4×C73C22×D411yescharacteristic
702C2×C4×C73C22×D411yescharacteristic
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C22×D411yescharacteristic
705C2×C4×C73C2511yescharacteristic
706C22⋊D73—42no—
707C22⋊D73—42no—
708C22⋊D73—42no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—42no—
717C2×Dic73—42no—
718C2×Dic73—81no—
719C2×Dic73C22×D411yescharacteristic
720C2×Dic73C22×D411yescharacteristic
721C2×Dic73C22×D411yescharacteristic
722C2×Dic73C22×D411yescharacteristic
723C2×Dic73C22×D411yescharacteristic
724D292—22no—
725D292—22no—
726D292—21no—
727D292—21no—
728D292—41no—
729D292—81no—
730D292—81no—
731C4×D73—22no—
732C4×D73—21no—
733C4×D73—21no—
734C4×D73—21no—
735C4×D73—21no—
736C4×D73—21no—
737C4×D73—21no—
738C4×D73—41no—
739C4×D73—42no—
740C4×D73—42no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D73—81no—
745C4×D73—81no—
746C4×D73—81no—
747C4×D73—81no—
748Dic146—21no—
749Dic146—21no—
750Dic146—21no—
751Dic146—21no—
752Dic146—21no—
753Dic146—21no—
754Dic146—81no—
755Dic146—81no—
756C8×C73—21no—
757C8×C73—21no—
758C8×C73—21no—
759C8×C73—21no—
760#10596831—21no—
761#10596831—21no—
762#10596831—21no—
763#10596831—21no—
764C22×C73—22no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73C23×D411yescharacteristic
768C2×D73—21no—
769C2×D73—21no—
770C2×D73—21no—
771C2×D73—21no—
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—21no—
775C2×D73—21no—
776C2×D73—41no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—84no—
780C2×D73#57812yes—
781C4×C73—21no—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73C2×2−1+411yescharacteristic
795C4×C73#58511yescharacteristic
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—21no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73—41no—
808#62165—731nomaximal, Sylow
809C2×C73—42no—
810C2×C73#348911yescharacteristic
811C2×C73C2×#57811yescharacteristic
812C2×C73#358511yescharacteristic
813D73—22no—
814D73—41no—
815D73—41no—
816D73—81no—
817#3563—731no—
818#3520—731no—
819#3386—731no—
820#3386D7311yescharacteristic, complemented
821#3377—731no—
822#3377—731no—
823#3344—731no—
824#3344—731no—
825#3343—731no—
826#3343—731no—
827#3338—731no—
828#3338—731no—
829#3315—731no—
830#3315—731no—
831#3314—731no—
832#3314—731no—
833#3296—731no—
834#3296—731no—
835#3258—731no—
836#3258—731no—
837#3249—731no—
838#3243—731no—
839#3243—731no—
840#3236—731no—
841#3120—731no—
842#3120—731no—
843#3110—731no—
844#3083—731no—
845#3083—731no—
846C2×#478—731no—
847#2992—731no—
848C73#6216511yescharacteristic, complemented, Sylow
849#564—1461no—
850#563—1461no—
851#557—731no—
852#557C2×D7311yescharacteristic, complemented
853#556—731no—
854#554—731no—
855#554—731no—
856#554—731no—
857#554—731no—
858#552—731no—
859#552—731no—
860#552—731no—
861#552—731no—
862#552—1461no—
863#552—1461no—
864#552—1461no—
865#551—1461no—
866#551—1461no—
867D4×Q8C2×D7311yescharacteristic
868#548—1461no—
869#547—731no—
870#547—731no—
871#546—731no—
872#546—731no—
873#544—731no—
874#544—731no—
875#544—1461no—
876#542—731no—
877#542—731no—
878#541—731no—
879#541—731no—
880#541—1461no—
881#541—1461no—
882#539—1461no—
883#539—1461no—
884#539—1461no—
885#533—731no—
886#533—731no—
887#529—731no—
888C2×#125—731no—
889#525—1461no—
890C2×C22⋊Q8—1461no—
891#520—731no—
892#520—731no—
893C2×C4×D4—731no—
894#501—731no—
895#501—731no—
896#501C2×D7311yescharacteristic, complemented
897#501C2×D7311yescharacteristic, complemented
898#500—731no—
899#500C2×D7311yescharacteristic, complemented
900#491—731no—
901#491—731no—
902#489—731no—
903#489—731no—
904#488—731no—
905#488—731no—
906#485—731no—
907#485—731no—
908#484—731no—
909#484—731no—
910#484—731no—
911#484—731no—
912#484—731no—
913#484—731no—
914#484—731no—
915#484—731no—
916#483—731no—
917#483—731no—
918#483—731no—
919#483—731no—
920#482—731no—
921#482—731no—
922#480—731no—
923#480—731no—
924#479—731no—
925#479—731no—
926#479—731no—
927#479—731no—
928#479—731no—
929#479—731no—
930#478—731no—
931#478—731no—
932#478—731no—
933#478—731no—
934#478—731no—
935#478—731no—
936#478—731no—
937#478—731no—
938#478C2×D7311yescharacteristic
939#478C2×D7311yescharacteristic
940#477—731no—
941#477—731no—
942#477—731no—
943#477—731no—
944#477—731no—
945#477—731no—
946#477C2×D7311yescharacteristic, complemented
947#477C2×D7311yescharacteristic, complemented
948#475—731no—
949#475C2×D7311yescharacteristic, complemented
950#474—731no—
951#474—731no—
952#474—731no—
953#474C2×D7311yescharacteristic
954#470—731no—
955#470—731no—
956#468—731no—
957#468—731no—
958#467—731no—
959#467—731no—
960#467—731no—
961#467—731no—
962#467—731no—
963#467—731no—
964#465—731no—
965#465—731no—
966#464—731no—
967#464—731no—
968#464—731no—
969#464—731no—
970#462—731no—
971#462—731no—
972#462—731no—
973#462—731no—
974#461—731no—
975#461—731no—
976#452—731no—
977#452—731no—
978#452—731no—
979#452—731no—
980#450—731no—
981#450—731no—
982#446—731no—
983#446C2×D7311yescharacteristic, complemented
984#441—731no—
985#441—731no—
986#440—731no—
987#440—731no—
988#440—731no—
989#440—731no—
990#440C2×D7311yescharacteristic
991#440C2×D7311yescharacteristic
992C4×Q16—731no—
993C4×Q16—731no—
994C4×SD16—731no—
995C4×SD16C2×D7311yescharacteristic
996#435—731no—
997#435—731no—
998#435—731no—
999#435—731no—
1000C8×D4—731no—
1001C8×D4—731no—
1002#433—731no—
1003#433—731no—
1004#432—731no—
1005#428—731no—
1006#428—731no—
1007C2×#107—731no—
1008C2×#107—731no—
1009C2×#107—731no—
1010C2×#106—731no—
1011#424—731no—
1012#424—731no—
1013C2×C4⋊C8—731no—
1014#417—731no—
1015#417—731no—
1016#416—731no—
1017#416—731no—
1018C2×#102—731no—
1019C2×#102—731no—
1020C2×#41—731no—
1021C2×#41—731no—
1022C2×#41—1461no—
1023C22×Q8—21no—
1024C22×D4—731no—
1025C23×C4—1461no—
1026C2×Q16—731no—
1027C2×Q16—731no—
1028C2×Q16—731no—
1029C2×Q16—731no—
1030C2×SD16—731no—
1031C2×SD16—731no—
1032C2×SD16—731no—
1033C2×SD16C22×D7311yescharacteristic
1034C2×M16—731no—
1035C2×M16—731no—
1036C22×C8—731no—
1037C22×C8—731no—
1038C22×C8—731no—
1039C22×C8—731no—
1040C4⋊Q8—21no—
1041C4⋊Q8—731no—
1042C4⋊Q8—731no—
1043C4⋊Q8—731no—
1044C4⋊Q8—731no—
1045C4⋊Q8—1461no—
1046C4⋊Q8—1461no—
1047C4⋊Q8—1461no—
1048C4⋊Q8C22×D7311yescharacteristic
1049C4⋊Q8C22×D7311yescharacteristic
1050C4⋊Q8C22×D7311yescharacteristic
1051C4⋊Q8C22×D7311yescharacteristic
1052#126—731no—
1053#126—731no—
1054#126—1461no—
1055#126—1461no—
1056#126—1461no—
1057#126—1461no—
1058#126—1461no—
1059#126—1461no—
1060#126—1461no—
1061#126—1461no—
1062#126—1461no—
1063#126—1461no—
1064#126—1461no—
1065#126—1461no—
1066#125—21no—
1067#125—21no—
1068#125—731no—
1069#125—731no—
1070#125—731no—
1071#125—731no—
1072#125—731no—
1073#125—1461no—
1074#125—1461no—
1075#125—1461no—
1076#125—1461no—
1077#125—1461no—
1078#125—1461no—
1079#125—1461no—
1080#125—1461no—
1081#125—1461no—
1082#125—1461no—
1083#125—1461no—
1084#125—1461no—
1085#125—1461no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125C22×D7311yescharacteristic
1094#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—731no—
1097#124—731no—
1098#124—1461no—
1099#124—1461no—
1100#123—731no—
1101#123—731no—
1102#123—1461no—
1103#123—1461no—
1104#123—1461no—
1105#123—1461no—
1106#123—1461no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8—731no—
1118C22⋊Q8—731no—
1119C22⋊Q8—731no—
1120C22⋊Q8—731no—
1121C22⋊Q8—731no—
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—731no—
1127C22⋊Q8—731no—
1128C22⋊Q8—1461no—
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—
1145C22⋊Q8—1461no—
1146#121—731no—
1147#121—731no—
1148#121—731no—
1149#121—1461no—
1150#121—1461no—
1151#121—1461no—
1152#120—1461no—
1153#120—1461no—
1154C4×Q8—21no—
1155C4×Q8—731no—
1156C4×Q8—731no—
1157C4×Q8—731no—
1158C4×Q8—731no—
1159C4×Q8—731no—
1160C4×Q8—731no—
1161C4×Q8—731no—
1162C4×Q8—1461no—
1163C4×Q8—1461no—
1164C4×Q8—1461no—
1165C4×Q8C22×D7311yescharacteristic
1166C4×Q8C22×D7311yescharacteristic
1167C4×Q8C22×D7311yescharacteristic
1168C4×Q8C22×D7311yescharacteristic
1169C4×D4—731no—
1170C4×D4—731no—
1171C4×D4—731no—
1172C4×D4—731no—
1173C4×D4—731no—
1174C4×D4—731no—
1175C4×D4—1461no—
1176C4×D4—1461no—
1177C4×D4—1461no—
1178C4×D4—1461no—
1179C4×D4—1461no—
1180C4×D4—1461no—
1181C4×D4—1461no—
1182C4×D4—1461no—
1183C4×D4—1461no—
1184C4×D4—1461no—
1185C4×D4C22×D7311yescharacteristic
1186C4×D4C22×D7311yescharacteristic
1187C4×D4C22×D7311yescharacteristic
1188#117—731no—
1189#117—731no—
1190#117—731no—
1191#117—731no—
1192#117—1461no—
1193#117—1461no—
1194#117—1461no—
1195#117—1461no—
1196#117—1461no—
1197#117—1461no—
1198#117—1461no—
1199#117—1461no—
1200#117—1461no—
1201C2×C4⋊C4—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—731no—
1204C2×C4⋊C4—731no—
1205C2×C4⋊C4—731no—
1206C2×C4⋊C4—731no—
1207C2×C4⋊C4—731no—
1208C2×C4⋊C4—1461no—
1209C2×C4⋊C4—1461no—
1210C2×C4⋊C4—1461no—
1211C2×C4⋊C4—1461no—
1212C2×C4⋊C4—1461no—
1213C2×C22⋊C4—1461no—
1214C2×C22⋊C4—1461no—
1215C2×C22⋊C4—1461no—
1216C2×C42—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107—731no—
1222#107—731no—
1223#107—731no—
1224#107—731no—
1225#107—731no—
1226#107—731no—
1227#107C22×D7311yescharacteristic
1228#107C22×D7311yescharacteristic
1229#107C22×D7311yescharacteristic
1230#107C22×D7311yescharacteristic
1231#107C22×D7311yescharacteristic
1232#107C22×D7311yescharacteristic
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106—731no—
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240#106C22×D7311yescharacteristic
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8—731no—
1248C4⋊C8C22×D7311yescharacteristic
1249C4⋊C8C22×D7311yescharacteristic
1250C4⋊C8C22×D7311yescharacteristic
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#103—731no—
1257#103—731no—
1258#103—731no—
1259#103—731no—
1260#103—731no—
1261#103—731no—
1262#103—731no—
1263#103—731no—
1264#103—731no—
1265#103—731no—
1266#103—731no—
1267#103—731no—
1268#103C22×D7311yescharacteristic
1269#103C22×D7311yescharacteristic
1270#103C22×D7311yescharacteristic
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102—731no—
1277#102—731no—
1278#102—731no—
1279#102—731no—
1280#102C22×D7311yescharacteristic
1281#102C22×D7311yescharacteristic
1282#102C22×D7311yescharacteristic
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8—731no—
1287C22⋊C8—731no—
1288C22⋊C8—731no—
1289#97—731no—
1290#97—731no—
1291#97C22×D7311yescharacteristic
1292#97C22×D7311yescharacteristic
1293C4×C8—731no—
1294C4×C8C22×D7311yescharacteristic
1295C24—1461no—
1296#41—2921no—
1297#41—2921no—
1298#41—5842no—
1299#41—1462no—
1300#41—1462no—
1301C2×Q8—21no—
1302C2×Q8—21no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—82no—
1306C2×Q8—731no—
1307C2×Q8—731no—
1308C2×Q8—731no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8D4×D7311yescharacteristic
1312C2×Q8C23×D7311yescharacteristic
1313C2×D4—2921no—
1314C2×D4—731no—
1315C2×D4—731no—
1316C2×D4—731no—
1317C2×D4—731no—
1318C2×D4—1461no—
1319C2×D4—1461no—
1320C2×D4—1461no—
1321C2×D4—1461no—
1322C2×D4—1461no—
1323C2×D4—1462no—
1324C2×D4C23×D7311yescharacteristic
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—5842no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—731no—
1334C22×C4—1461no—
1335C22×C4—1461no—
1336C22×C4—1461no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339C22×C4—1461no—
1340C22×C4—1461no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346Q16—2921no—
1347Q16—2921no—
1348Q16—2921no—
1349Q16—2921no—
1350SD16—22no—
1351SD16—2921no—
1352SD16—2921no—
1353SD16—1462no—
1354M16—2921no—
1355M16—2921no—
1356C2×C8—2921no—
1357C2×C8—2921no—
1358C2×C8—2921no—
1359C2×C8—2921no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—731no—
1364C2×C8C23×D7311yescharacteristic
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
1389C4⋊C4—731no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1429C4⋊C4D4×D7311yescharacteristic
1430C4⋊C4D4×D7311yescharacteristic
1431C4⋊C4C23×D7311yescharacteristic
1432C4⋊C4C23×D7311yescharacteristic
1433C4⋊C4C23×D7311yescharacteristic
1434C4⋊C4C23×D7311yescharacteristic
1435C4⋊C4C23×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—731no—
1441C22⋊C4—731no—
1442C22⋊C4—731no—
1443C22⋊C4—731no—
1444C22⋊C4—731no—
1445C22⋊C4—731no—
1446C22⋊C4—731no—
1447C22⋊C4—731no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
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—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—731no—
1475C42—731no—
1476C42—731no—
1477C42—1461no—
1478C42—1461no—
1479C42—1461no—
1480C42—1461no—
1481C42—1461no—
1482C42—1461no—
1483C42—1461no—
1484C42—1461no—
1485C42—1461no—
1486C42C23×D7311yescharacteristic
1487C42C23×D7311yescharacteristic
1488C42C23×D7311yescharacteristic
1489C23—21no—
1490C23—2922no—
1491C23—2922no—
1492C23—5841no—
1493C23—731no—
1494C23—731no—
1495C23—731no—
1496C23—1461no—
1497Q8—21no—
1498Q8—21no—
1499Q8—41no—
1500Q8—42no—
1501Q8—81no—
1502Q8—81no—
1503Q8—81no—
1504Q8—5841no—
1505Q8—5841no—
1506Q8—1461no—
1507Q8—1461no—
1508Q8—1461no—
1509Q8—1461no—
1510Q8—1461no—
1511Q8—1461no—
1512D4—21no—
1513D4—2921no—
1514D4—2922no—
1515D4—2922no—
1516D4—2922no—
1517D4—5841no—
1518D4—5841no—
1519D4—1462no—
1520D4—1462no—
1521D4—1461no—
1522D4—1461no—
1523D4#1455663912yes—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—42no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—2922no—
1535C2×C4—2921no—
1536C2×C4—2922no—
1537C2×C4—2922no—
1538C2×C4—2922no—
1539C2×C4—5841no—
1540C2×C4—5841no—
1541C2×C4—5841no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—731no—
1548C2×C4—731no—
1549C2×C4—731no—
1550C2×C4—731no—
1551C2×C4—731no—
1552C2×C4—1462no—
1553C2×C4—1461no—
1554C2×C4—1461no—
1555C2×C4—1461no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4C2×D4×D7311yescharacteristic
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C2×D4×D7311yescharacteristic
1572C2×C4C24×D7311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C8—1461no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—2921no—
1585C22—2921no—
1586C22—2921no—
1587C22—5844no—
1588C22—732no—
1589C22—1461no—
1590C22—1461no—
1591C22—1461no—
1592C22—1461no—
1593C22—1461no—
1594C22—1461no—
1595C22—1461no—
1596C22—1461no—
1597C22C22×D4×D7311yescharacteristic
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—2921no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—1461no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C4C2×#1455663911yescharacteristic
1624C4#1798942411yescharacteristic
1625C2—42no—
1626C2—2921no—
1627C2—2921no—
1628C2—5841no—
1629C2—1462no—
1630C2#2262360811yescharacteristic
1631C2#578×D7311yescharacteristic
1632C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3386C2
socleC22×C73C23×D4
prime radical#22623981C2
hypercenter#3386D73
hypocenterC73#62165
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3386

Complements

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

NH ≅ G/Ntype
1. #22624527C2semidirect
3. #22622852C2semidirect
4. #22622775C2semidirect
5. #22622773C2semidirect
6. #22622385C2semidirect
7. #22622383C2semidirect
8. #22622370C2semidirect
9. #22622368C2semidirect
10. #22622323C2semidirect
11. #22622322C2semidirect
12. #22622032C2semidirect
13. #22622024C2semidirect
14. #22622017C2semidirect
15. #22622009C2semidirect
16. #22621771C2semidirect
17. #22621763C2semidirect
18. #22621364C2semidirect
19. #22621356C2semidirect
20. #22621275C2semidirect
21. #22621217C2semidirect
22. #22621215C2semidirect
23. #22621138C2semidirect
24. #22620149C2semidirect
25. #22620141C2semidirect
26. #22620028C2semidirect
27. #22619783C2semidirect
28. #22619777C2semidirect
29. #478×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3386C2semidirect
34. #17989315C22semidirect
43. #17989278C22semidirect
45. #17989275C22semidirect
54. #17989217C22semidirect
56. #17989214C22semidirect
61. #17989195C22semidirect
62. #17989195C22semidirect
75. #17988993C22semidirect
76. #17988993C22semidirect
77. #17988990C22semidirect
78. #17988957C22semidirect
79. #17988956C22semidirect
84. #17988931C22semidirect
85. #17988930C22semidirect
89. #17988924C22semidirect
90. #17988924C22semidirect
91. #17988924C22semidirect
93. #17988921C22semidirect
96. #17988919C22semidirect
97. #17988916C22semidirect
102. #17988897C22semidirect
103. #17988897C22semidirect
104. #17988895C22semidirect
105. #17988893C22semidirect
106. #17988893C22semidirect
107. #17988891C22semidirect
116. #17988883C22semidirect
117. #17988881C22semidirect
118. #17988881C22semidirect
119. #17988879C22semidirect
120. #17988879C22semidirect
121. #17988879C22semidirect
122. #17988869C22semidirect
126. #17988846C22semidirect
127. #17988844C22semidirect
132. #17988829C22semidirect
135. #17988827C22semidirect
142. #17988798C22semidirect
143. #17988797C22semidirect
144. #17988796C22semidirect
145. #17988796C22semidirect
154. #17988718C22semidirect
155. #17988695C22semidirect
156. #17988692C22semidirect
161. C4×Dic292C22semidirect
162. C4×#11924018C22semidirect
165. #17988660C22semidirect
167. #17988657C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
176. #107×D73C22semidirect
177. #107×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
188. #557×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #500×C73C22semidirect
195. #477×C73C22semidirect
196. #477×C73C22semidirect
197. #475×C73C22semidirect
199. #446×C73C22semidirect
820. #3386D73semidirect
848. C73#62165semidirect
852. #557C2×D73semidirect
896. #501C2×D73semidirect
897. #501C2×D73semidirect
899. #500C2×D73semidirect
946. #477C2×D73semidirect
947. #477C2×D73semidirect
949. #475C2×D73semidirect
983. #446C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245272
#226239812
#226228522
#226227752
#226227732
#226223852
#226223832
#226223702
#226223682
#226223232
#226223222
#226220322
#226220242
#226220172
#226220092
#226217712
#226217632
#226213642
#226213562
#226212752
#226212172
#226212152
#226211382
#226201492
#226201412
#226200282
#226197832
#226197772
#478×D732
#226190692
C73×#33862
#6216573