Finite Group Databasebeta

← #33967970

Subgroups — #33967970

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22623001C211yesmaximal, characteristic, complemented
4#22622889C211yesmaximal, characteristic, complemented
5#22622756C211yesmaximal, characteristic, complemented
6#22622688C211yesmaximal, characteristic, complemented
7#22622424C211yesmaximal, characteristic, complemented
8#22622379C211yesmaximal, characteristic, complemented
9#22622307C211yesmaximal, characteristic, complemented
10#22622090C211yesmaximal, characteristic, complemented
11#22622005C211yesmaximal, characteristic, complemented
12#22621955C211yesmaximal, characteristic, complemented
13#22621900C211yesmaximal, characteristic, complemented
14#22621778C211yesmaximal, characteristic, complemented
15#22621773C211yesmaximal, characteristic, complemented
16#22621611C211yesmaximal, characteristic, complemented
17#22621459C211yesmaximal, characteristic, complemented
18#22621414C211yesmaximal, characteristic, complemented
19#22620654C211yesmaximal, characteristic, complemented
20#22620638C211yesmaximal, characteristic, complemented
21#22620625C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620071C211yesmaximal, characteristic, complemented
25#22620046C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618943C211yesmaximal, characteristic, complemented
28C4×#14556616C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3111C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35#17989319C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic, complemented
38#17989296C2211yescharacteristic, complemented
39#17989295C2211yescharacteristic
40#17989293C2211yescharacteristic, complemented
41#17989290C2211yescharacteristic
42#17989289C2211yescharacteristic, complemented
43#17989288—21no—
44#17989286—21no—
45#17989278C2211yescharacteristic, complemented
46#17989276C2211yescharacteristic
47#17989270—21no—
48#17989266—21no—
49#17989262—21no—
50#17989261—21no—
51#17989260—21no—
52#17989236C2211yescharacteristic, complemented
53#17989232C2211yescharacteristic, complemented
54#17989230C2211yescharacteristic
55#17989229—21no—
56#17989228C2211yescharacteristic, complemented
57#17989225C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989141C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic, complemented
61#17989124C2211yescharacteristic
62#17989124C2211yescharacteristic, complemented
63#17989121—21no—
64#17989121C2211yescharacteristic, complemented
65#17989117—21no—
66#17989115—21no—
67#17989099—21no—
68#17989096—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924028C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C2×C4×D292C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic, complemented
77C2×#14556548—21no—
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988918C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic
99#17988901C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988888C2211yescharacteristic, complemented
105#17988886C2211yescharacteristic, complemented
106#17988871C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988843C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic
112#17988835C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988824C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic
119#17988819C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic
121#17988813C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic
124#17988805C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic
127#17988803C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic
132#17988748C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic
135#17988736C2211yescharacteristic
136#17988736C2211yescharacteristic, complemented
137#17988735C2211yescharacteristic
138#17988733C2211yescharacteristic, complemented
139#17988729C2211yescharacteristic, complemented
140#17988723C2211yescharacteristic
141#17988722C2211yescharacteristic
142#17988714C2211yescharacteristic, complemented
143#17988714C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic
148#17988697C2211yescharacteristic
149#17988697C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic
152#17988696C2211yescharacteristic
153#17988696C2211yescharacteristic, complemented
154#17988692C2211yescharacteristic, complemented
155#17988691C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165C4×#11924015C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167C4×#11924013C2211yescharacteristic, complemented
168#17988661C2211yescharacteristic
169#17988661C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988652C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988630C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185C4×#11924012C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214#14556616—24no—
215#14556612—24no—
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228D8×D73—24no—
229C2×#11924012C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556585—21no—
245#14556585—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583—21no—
249#14556583C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556580C2311yescharacteristic
256#14556580C2311yescharacteristic
257#14556579—21no—
258#14556579C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556571—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570C2311yescharacteristic
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556567C2311yescharacteristic
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556566—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556565—21no—
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556562C2311yescharacteristic
307#14556561—21no—
308#14556561—21no—
309#14556561—21no—
310#14556561—21no—
311#14556559—21no—
312#14556559—21no—
313Q8×Dic73C2311yescharacteristic
314C4×Dic146—21no—
315C4×Dic146D411yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318#14556556C2311yescharacteristic
319C4×D292—21no—
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292D411yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553—21no—
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73D411yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556550D411yescharacteristic
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548D411yescharacteristic
367#14556548D411yescharacteristic
368#14556547—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C2×#11924005—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
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
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C42×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924028—42no—
487#11924028—82no—
488#11924027—22no—
489#11924027—41no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514D4×D73—22no—
515D4×D73—22no—
516D4×D73—41no—
517D4×D73—41no—
518D4×D73—44no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—44no—
536C2×C4×D73—82no—
537C2×C4×D73—82no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924018—22no—
545#11924017—22no—
546#11924017—41no—
547#11924016—41no—
548#11924015—22no—
549#11924015—22no—
550#11924015—41no—
551D584—22no—
552D584—41no—
553#11924013—22no—
554#11924013—22no—
555#11924013#4114yescomplemented
556#11924012—22no—
557#11924012—41no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—22no—
563C8×D73—22no—
564C8×D73—41no—
565C8×D73—41no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643#41×C73—22no—
644#41×C73—41no—
645C2×Q8×C73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2×D411yescharacteristic
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658Q16×C73—41no—
659SD16×C73—22no—
660SD16×C73—41no—
661D8×C73—22no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73C2×#4112yes—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—41no—
728C2×C4×C73—41no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—81no—
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C22⋊D73—22no—
740C22⋊D73—41no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—42no—
754C2×Dic73—42no—
755C2×Dic73—81no—
756C2×Dic73—81no—
757C2×Dic73—81no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764D292—22no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292C2×#4112yes—
776C4×D73—22no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—21no—
796Dic146—21no—
797Dic146—41no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—22no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—22no—
823C2×D73—21no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—41no—
862C2×C73—42no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—22no—
868D73—41no—
869D73—42no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111D7311yescharacteristic, complemented
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—1461no—
937#529—1461no—
938#529—1461no—
939#529C2×D7311yescharacteristic, complemented
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485C2×D7311yescharacteristic, complemented
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482C2×D7311yescharacteristic, complemented
974#480—731no—
975#480—731no—
976#479—731no—
977#479C2×D7311yescharacteristic, complemented
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478C2×D7311yescharacteristic, complemented
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464C2×D7311yescharacteristic, complemented
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463C2×D7311yescharacteristic, complemented
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452C2×D7311yescharacteristic, complemented
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449C2×D7311yescharacteristic
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441C2×D7311yescharacteristic, complemented
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432C2×D7311yescharacteristic, complemented
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16C22×D7311yescharacteristic
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—1464no—
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—21no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121C22×D7311yescharacteristic
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—1461no—
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—21no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—41no—
1358#41—2922no—
1359#41—2921no—
1360#41—2921no—
1361#41—5842no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—2921no—
1373C2×D4—2924no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1462no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1462no—
1392C2×D4—1461no—
1393C2×D4—1462no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—2924no—
1404C22×C4—5842no—
1405C22×C4—5842no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—41no—
1432Q16—1462no—
1433SD16—22no—
1434SD16—41no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—2921no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—5841no—
1573C23—5841no—
1574C23—5841no—
1575C23—731no—
1576C23—731no—
1577C23—1461no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—2921no—
1586Q8—5841no—
1587Q8—5841no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—42no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2921no—
1601D4—2922no—
1602D4—2922no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—732no—
1609D4—1462no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2921no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—1462no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—732no—
1677C8—1461no—
1678C8—1461no—
1679C8—1461no—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5844no—
1698C22—5844no—
1699C22—5844no—
1700C22—732no—
1701C22—1461no—
1702C22—1462no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—2922no—
1736C2—2921no—
1737C2—5841no—
1738C2—5841no—
1739C2—1462no—
1740C2#2262341411yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3111C2
socleC22×C73C23×D4
hypercenter#3111D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623493C2semidirect
3. #22623001C2semidirect
4. #22622889C2semidirect
5. #22622756C2semidirect
6. #22622688C2semidirect
7. #22622424C2semidirect
8. #22622379C2semidirect
9. #22622307C2semidirect
10. #22622090C2semidirect
11. #22622005C2semidirect
12. #22621955C2semidirect
13. #22621900C2semidirect
14. #22621778C2semidirect
15. #22621773C2semidirect
16. #22621611C2semidirect
17. #22621459C2semidirect
18. #22621414C2semidirect
19. #22620654C2semidirect
20. #22620638C2semidirect
21. #22620625C2semidirect
22. #22620078C2semidirect
23. #22620073C2semidirect
24. #22620071C2semidirect
25. #22620046C2semidirect
26. #22620028C2semidirect
27. #22618943C2semidirect
28. C4×#14556616C2semidirect
29. #22618726C2semidirect
30. #442×D73C2semidirect
31. C73×#3111C2semidirect
35. #17989319C22semidirect
36. #17989309C22semidirect
37. #17989300C22semidirect
38. #17989296C22semidirect
40. #17989293C22semidirect
42. #17989289C22semidirect
45. #17989278C22semidirect
52. #17989236C22semidirect
53. #17989232C22semidirect
56. #17989228C22semidirect
59. #17989141C22semidirect
60. #17989134C22semidirect
62. #17989124C22semidirect
64. #17989121C22semidirect
70. C4×#11924029C22semidirect
72. C4×#11924027C22semidirect
73. C2×C4×D292C22semidirect
76. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988986C22semidirect
81. #17988980C22semidirect
83. #17988969C22semidirect
84. #17988954C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988948C22semidirect
88. #17988944C22semidirect
89. #17988941C22semidirect
90. #17988926C22semidirect
91. #17988924C22semidirect
92. #17988921C22semidirect
93. #17988918C22semidirect
94. #17988916C22semidirect
95. #17988913C22semidirect
96. #17988913C22semidirect
97. #17988909C22semidirect
99. #17988901C22semidirect
100. #17988892C22semidirect
101. #17988890C22semidirect
102. #17988889C22semidirect
103. #17988888C22semidirect
104. #17988888C22semidirect
105. #17988886C22semidirect
106. #17988871C22semidirect
107. #17988866C22semidirect
108. #17988865C22semidirect
109. #17988865C22semidirect
110. #17988843C22semidirect
112. #17988835C22semidirect
113. #17988831C22semidirect
114. #17988827C22semidirect
115. #17988825C22semidirect
116. #17988824C22semidirect
117. #17988822C22semidirect
119. #17988819C22semidirect
121. #17988813C22semidirect
122. #17988811C22semidirect
124. #17988805C22semidirect
125. #17988804C22semidirect
127. #17988803C22semidirect
128. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988786C22semidirect
132. #17988748C22semidirect
133. #17988740C22semidirect
136. #17988736C22semidirect
138. #17988733C22semidirect
139. #17988729C22semidirect
142. #17988714C22semidirect
143. #17988714C22semidirect
145. #17988700C22semidirect
146. #17988699C22semidirect
149. #17988697C22semidirect
150. #17988697C22semidirect
153. #17988696C22semidirect
154. #17988692C22semidirect
155. #17988691C22semidirect
156. #17988689C22semidirect
157. #17988689C22semidirect
158. #17988688C22semidirect
159. #17988687C22semidirect
160. #17988686C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. C4×#11924015C22semidirect
165. C4×#11924015C22semidirect
167. C4×#11924013C22semidirect
170. #17988661C22semidirect
171. #17988661C22semidirect
172. #17988652C22semidirect
173. #17988652C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988630C22semidirect
177. #17988624C22semidirect
178. #106×D73C22semidirect
179. #17988591C22semidirect
180. #17988588C22semidirect
181. #17988582C22semidirect
182. #17988580C22semidirect
184. #102×D73C22semidirect
185. C4×#11924012C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
188. #529×C73C22semidirect
189. C4×#41×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #452×C73C22semidirect
198. #442×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
555. #11924013#41semidirect
897. #3111D73semidirect
903. C73#61454semidirect
939. #529C2×D73semidirect
946. C4×#41C2×D73semidirect
965. #485C2×D73semidirect
973. #482C2×D73semidirect
977. #479C2×D73semidirect
983. #478C2×D73semidirect
1001. #464C2×D73semidirect
1007. #463C2×D73semidirect
1013. #452C2×D73semidirect
1036. #442C2×D73semidirect
1039. #441C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1062. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226234932
#226230012
#226228892
#226227562
#226226882
#226224242
#226223792
#226223072
#226220902
#226220052
#226219552
#226219002
#226217782
#226217732
#226216112
#226214592
#226214142
#226206542
#226206382
#226206252
#226200782
#226200732
#226200712
#226200462
#226200282
#226189432
C4×#145566162
#226187262
#442×D732
C73×#31112
#6145473