Finite Group Databasebeta

← #33968755

Subgroups — #33968755

Order 18688.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623923C211yesmaximal, characteristic, complemented
2#22623860C211yesmaximal, characteristic, complemented
3#22623001C211yesmaximal, characteristic, complemented
4#22622880C211yesmaximal, characteristic, complemented
5#22622624C211yesmaximal, characteristic, complemented
6#22622581C211yesmaximal, characteristic, complemented
7#22622491C211yesmaximal, characteristic, complemented
8#22622404C211yesmaximal, characteristic, complemented
9#22622389C211yesmaximal, characteristic, complemented
10#22621835C211yesmaximal, characteristic, complemented
11#22621813C211yesmaximal, characteristic, complemented
12#22621791C211yesmaximal, characteristic, complemented
13#22621782C211yesmaximal, characteristic, complemented
14#22621751C211yesmaximal, characteristic, complemented
15#22621558C211yesmaximal, characteristic, complemented
16#22621439C211yesmaximal, characteristic, complemented
17#22621424C211yesmaximal, characteristic, complemented
18#22620609C211yesmaximal, characteristic, complemented
19#22620602C211yesmaximal, characteristic, complemented
20#22620500C211yesmaximal, characteristic, complemented
21#22620218C211yesmaximal, characteristic, complemented
22#22620203C211yesmaximal, characteristic, complemented
23#22620201C211yesmaximal, characteristic, complemented
24#22620177C211yesmaximal, characteristic, complemented
25#22620101C211yesmaximal, characteristic, complemented
26#22620074C211yesmaximal, characteristic, complemented
27#22618903C211yesmaximal, characteristic, complemented
28#22618777C211yesmaximal, characteristic, complemented
29#22618757C211yesmaximal, characteristic, complemented
30C4×SD16×D73C211yesmaximal, characteristic, complemented
31C73×#3296C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989309C2211yescharacteristic, complemented
38#17989305—21no—
39#17989296C2211yescharacteristic
40#17989293—21no—
41#17989292C2211yescharacteristic
42#17989283C2211yescharacteristic
43#17989282—21no—
44#17989281C2211yescharacteristic, complemented
45#17989280—21no—
46#17989273—21no—
47#17989271C2211yescharacteristic
48#17989263—21no—
49#17989260—21no—
50#17989250C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic
52#17989246C2211yescharacteristic, complemented
53#17989237C2211yescharacteristic
54#17989225C2211yescharacteristic
55#17989224—21no—
56D4×C22⋊D73C2211yescharacteristic
57#17989210C2211yescharacteristic
58#17989210C2211yescharacteristic, complemented
59#17989205—21no—
60#17989197C2211yescharacteristic, complemented
61#17989196—21no—
62#17989190C2211yescharacteristic
63#17989181—21no—
64#17989172—21no—
65#17989122C2211yescharacteristic, complemented
66#17989120—21no—
67#17989119C2211yescharacteristic
68#17989116C2211yescharacteristic
69#17989115—21no—
70#17989097—21no—
71C2×#14556573—21no—
72#17989070C2211yescharacteristic
73#17989068C2211yescharacteristic, complemented
74#17989064C2211yescharacteristic, complemented
75#17989062C2211yescharacteristic
76C4×Q8×D73C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988929C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988902C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988876C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic
108#17988871C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988843C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988835C2211yescharacteristic
113#17988835C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988823C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic
117#17988819C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic
119#17988815C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic
125#17988803C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic
127#17988790C2211yescharacteristic
128#17988790C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic
130#17988786C2211yescharacteristic
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic
134#17988738C2211yescharacteristic
135#17988734C2211yescharacteristic
136#17988732C2211yescharacteristic
137#17988728C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic, complemented
139#17988724C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988714C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic, complemented
146#17988694C2211yescharacteristic, complemented
147#17988691C2211yescharacteristic, complemented
148#17988691C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic, complemented
150#17988686C2211yescharacteristic, complemented
151#17988684C2211yescharacteristic
152#17988684C2211yescharacteristic
153#17988684C2211yescharacteristic
154#17988684C2211yescharacteristic, complemented
155#17988679C2211yescharacteristic, complemented
156#17988679C2211yescharacteristic, complemented
157#17988678C2211yescharacteristic
158#17988678C2211yescharacteristic
159#17988678C2211yescharacteristic, complemented
160#17988678C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic, complemented
162SD16×Dic73C2211yescharacteristic
163C4×#11924015C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic
166#17988672C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988661C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988627C2211yescharacteristic, complemented
180#106×D73C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic, complemented
182C2×#14556516C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988542C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#467×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C22×Dic146C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×C22⋊D73—21no—
208C2×D4×D73C2311yescharacteristic
209C22×C4×D73—21no—
210#14556621—24no—
211#14556617—24no—
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—24no—
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556590—21no—
231#14556590—21no—
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556587C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556585—21no—
242#14556585—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584D411yescharacteristic
248#14556584D411yescharacteristic
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582D411yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556578D411yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573D411yescharacteristic
282#14556573D411yescharacteristic
283#14556572—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571D411yescharacteristic
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556562—21no—
313#14556562D411yescharacteristic
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321C4×Dic146—21no—
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556550—21no—
362#14556550C2311yescharacteristic
363#14556550C2311yescharacteristic
364#14556550C2311yescharacteristic
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556548—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372C2×C4⋊Dic73—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#126×C73—21no—
446#125×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461#117×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—41no—
484#11924027—82no—
485C2×Dic146—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—41no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—41no—
496C2×D292—21no—
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—82no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—82no—
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531#11924018—22no—
532#11924018—22no—
533#11924017—22no—
534#11924017—41no—
535#11924016—22no—
536#11924016—22no—
537#11924016—41no—
538#11924016#4114yescomplemented
539#11924015—22no—
540#11924015—41no—
541D584—41no—
542#11924013—22no—
543#11924013—22no—
544#11924012—22no—
545#11924012—22no—
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C8×D73—22no—
551C8×D73—41no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C24×C73—21no—
638#41×C73—22no—
639#41×C73—41no—
640C2×Q8×C73C2411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—41no—
647C2×D4×C73C2×D411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—41no—
658C2×C8×C73—41no—
659C2×C8×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2×D411yescharacteristic
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—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—42no—
692C23×C73—81no—
693C23×C73—81no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706D4×C73—21no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—41no—
710D4×C73—42no—
711D4×C73—42no—
712D4×C73—81no—
713D4×C73C2×#4112yes—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—42no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—22no—
733C22⋊D73—22no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—81no—
738C22⋊D73—81no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—42no—
749C2×Dic73—81no—
750C2×Dic73—81no—
751C2×Dic73—81no—
752C2×Dic73—81no—
753C2×Dic73—81no—
754C2×Dic73—81no—
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—42no—
767C4×D73—22no—
768C4×D73—21no—
769C4×D73—21no—
770C4×D73—41no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779Dic146—21no—
780Dic146—21no—
781Dic146—21no—
782Dic146—41no—
783Dic146—42no—
784Dic146—42no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—22no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—162no—
809C22×C73C23×D411yescharacteristic
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—84no—
819C2×D73#57712yes—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73C22×#4111yescharacteristic
831C4×C73#58511yescharacteristic
832Dic73—21no—
833Dic73—21no—
834Dic73—21no—
835Dic73—22no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—21no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61490—731nomaximal, Sylow
846C2×C73—42no—
847C2×C73—41no—
848C2×C73—41no—
849C2×C73—81no—
850C2×C73D4×#4111yescharacteristic
851C2×C73C2×#57711yescharacteristic
852C2×C73#358411yescharacteristic
853D73—22no—
854D73—81no—
855D73—81no—
856#3516—731no—
857#3513—731no—
858#3401—731no—
859#3388—731no—
860#3365—731no—
861#3360—731no—
862#3351—731no—
863#3345—731no—
864#3344—731no—
865#3301—731no—
866#3300—731no—
867#3298—731no—
868#3297—731no—
869#3296D7311yescharacteristic, complemented
870#3295—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3178—731no—
876#3168—731no—
877#3126—731no—
878#3125—731no—
879#3125—731no—
880#3123—731no—
881#3117—731no—
882#3114—731no—
883#2966—731no—
884#2947—731no—
885#2946—731no—
886C2×C4×SD16—731no—
887C73#6149011yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892#557—731no—
893#556—731no—
894#556—1461no—
895#554—731no—
896#554—731no—
897#554—1461no—
898#553—731no—
899#553—731no—
900#553—1461no—
901#553—1461no—
902#552—731no—
903#552—1461no—
904#552C2×D7311yescharacteristic, complemented
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—1461no—
913#546C2×D7311yescharacteristic
914D42—731no—
915#542—731no—
916#542—731no—
917#542—1461no—
918#541—731no—
919#541—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#529—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#520—731no—
932#519—731no—
933#518—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936#501—731no—
937#501—731no—
938#499—731no—
939#497—731no—
940#496—731no—
941#495—731no—
942#488—731no—
943#488—731no—
944#488—731no—
945#488C2×D7311yescharacteristic, complemented
946#487—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#484—731no—
951#483—731no—
952#483—731no—
953#483C2×D7311yescharacteristic, complemented
954#482—731no—
955#482C2×D7311yescharacteristic, complemented
956#481—731no—
957#481—731no—
958#481—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478C2×D7311yescharacteristic
968#476—731no—
969#476—731no—
970#475—731no—
971#475—731no—
972#470—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#467—731no—
977#467C2×D7311yescharacteristic, complemented
978#466—731no—
979#466—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#465C2×D7311yescharacteristic, complemented
984#464—731no—
985#464—731no—
986#464—731no—
987#464C2×D7311yescharacteristic, complemented
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#460—731no—
996#452—731no—
997#452C2×D7311yescharacteristic
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450C2×D7311yescharacteristic
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#448—731no—
1007#447—731no—
1008#446—731no—
1009C8×Q8—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022C4×Q16—731no—
1023C4×Q16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16C2×D7311yescharacteristic
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4C2×D7311yescharacteristic, complemented
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049C2×#106—731no—
1050#416—731no—
1051#416C2×D7311yescharacteristic
1052C2×#103—731no—
1053C2×#103—731no—
1054C2×#102—731no—
1055C2×#102C2×D7311yescharacteristic
1056#405—731no—
1057#405—731no—
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—1461no—
1061C2×#41C22×D7311yescharacteristic
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—1461no—
1066C22×D4C22×D7311yescharacteristic
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16C22×D7311yescharacteristic
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—1464no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8C22×D7311yescharacteristic
1092C22×C8C22×D7311yescharacteristic
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—1461no—
1097C4⋊Q8—1461no—
1098#127—731no—
1099#126—21no—
1100#126—731no—
1101#126—731no—
1102#126—1461no—
1103#126—1461no—
1104#126—1461no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#125—21no—
1114#125—731no—
1115#125—731no—
1116#125—731no—
1117#125—731no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125C22×D7311yescharacteristic
1125#124—731no—
1126#124—731no—
1127#124—731no—
1128#124—731no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124C22×D7311yescharacteristic
1135#123—21no—
1136#123—21no—
1137#123—731no—
1138#123—731no—
1139#123—1461no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
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—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—21no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
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#121C22×D7311yescharacteristic
1189#120—21no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
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—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117C22×D7311yescharacteristic
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—731no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—731no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107C22×D7311yescharacteristic
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8C22×D7311yescharacteristic
1337C24—21no—
1338C24—1461no—
1339#41—22no—
1340#41—41no—
1341#41—2921no—
1342#41—5842no—
1343#41—1462no—
1344C2×Q8—2921no—
1345C2×Q8—2921no—
1346C2×Q8—731no—
1347C2×Q8—731no—
1348C2×Q8—731no—
1349C2×Q8—1462no—
1350C2×Q8—1461no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8—1462no—
1354C2×Q8—1461no—
1355C2×Q8C23×D7311yescharacteristic
1356C2×Q8C23×D7311yescharacteristic
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—2921no—
1363C2×D4—5842no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—1461no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1462no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4D4×D7311yescharacteristic
1379C2×D4C23×D7311yescharacteristic
1380C2×D4C23×D7311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—5842no—
1385C22×C4—731no—
1386C22×C4—731no—
1387C22×C4—731no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4C23×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—41no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—41no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—734no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—1462no—
1422M16—1462no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4D4×D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C4⋊C4C23×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—731no—
1499C22⋊C4—731no—
1500C22⋊C4—731no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1526C22⋊C4D4×D7311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—81no—
1549C23—81no—
1550C23—2922no—
1551C23—2922no—
1552C23—5841no—
1553C23—731no—
1554C23—1461no—
1555C23—1461no—
1556C23C2×D4×D7311yescharacteristic
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—2922no—
1563Q8—2921no—
1564Q8—2922no—
1565Q8—5841no—
1566Q8—5841no—
1567Q8—732no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8—1461no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—41no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—2922no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—5841no—
1583D4—5841no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—1462no—
1588D4—1462no—
1589D4—1461no—
1590D4—1461no—
1591D4—1461no—
1592D4—1461no—
1593D4#41×D7312yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—2922no—
1608C2×C4—2921no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—5841no—
1613C2×C4—5841no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—1462no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—162no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—2921no—
1670C22—2921no—
1671C22—5844no—
1672C22—732no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—2921no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—1461no—
1692C4—1461no—
1693C4—1461no—
1694C4—1462no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942211yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—5841no—
1706C2—5841no—
1707C2—1462no—
1708C2#2262341511yescharacteristic
1709C2#577×D7311yescharacteristic
1710C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3296C2
socleC22×C73C23×D4
hypercenter#3296D73
hypocenterC73#61490
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #22623923C2semidirect
2. #22623860C2semidirect
3. #22623001C2semidirect
4. #22622880C2semidirect
5. #22622624C2semidirect
6. #22622581C2semidirect
7. #22622491C2semidirect
8. #22622404C2semidirect
9. #22622389C2semidirect
10. #22621835C2semidirect
11. #22621813C2semidirect
12. #22621791C2semidirect
13. #22621782C2semidirect
14. #22621751C2semidirect
15. #22621558C2semidirect
16. #22621439C2semidirect
17. #22621424C2semidirect
18. #22620609C2semidirect
19. #22620602C2semidirect
20. #22620500C2semidirect
21. #22620218C2semidirect
22. #22620203C2semidirect
23. #22620201C2semidirect
24. #22620177C2semidirect
25. #22620101C2semidirect
26. #22620074C2semidirect
27. #22618903C2semidirect
28. #22618777C2semidirect
29. #22618757C2semidirect
30. C4×SD16×D73C2semidirect
31. C73×#3296C2semidirect
36. #17989314C22semidirect
37. #17989309C22semidirect
44. #17989281C22semidirect
50. #17989250C22semidirect
52. #17989246C22semidirect
58. #17989210C22semidirect
60. #17989197C22semidirect
65. #17989122C22semidirect
73. #17989068C22semidirect
74. #17989064C22semidirect
76. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988986C22semidirect
81. #17988980C22semidirect
83. #17988969C22semidirect
84. #17988943C22semidirect
85. #17988943C22semidirect
86. #17988942C22semidirect
87. #17988936C22semidirect
89. #17988929C22semidirect
90. #17988925C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
93. #17988915C22semidirect
94. #17988911C22semidirect
95. #17988906C22semidirect
98. #17988902C22semidirect
99. #17988897C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
103. #17988889C22semidirect
105. #17988884C22semidirect
106. #17988876C22semidirect
108. #17988871C22semidirect
109. #17988870C22semidirect
110. #17988843C22semidirect
111. #17988838C22semidirect
113. #17988835C22semidirect
114. #17988827C22semidirect
115. #17988823C22semidirect
117. #17988819C22semidirect
120. #17988812C22semidirect
121. #17988811C22semidirect
122. #17988806C22semidirect
123. #17988805C22semidirect
125. #17988803C22semidirect
128. #17988790C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
137. #17988728C22semidirect
138. #17988725C22semidirect
141. #17988714C22semidirect
142. C8×Dic146C22semidirect
143. #17988698C22semidirect
145. #17988696C22semidirect
146. #17988694C22semidirect
147. #17988691C22semidirect
148. #17988691C22semidirect
149. #17988688C22semidirect
150. #17988686C22semidirect
154. #17988684C22semidirect
155. #17988679C22semidirect
156. #17988679C22semidirect
159. #17988678C22semidirect
160. #17988678C22semidirect
161. C4×#11924017C22semidirect
163. C4×#11924015C22semidirect
164. #17988674C22semidirect
166. #17988672C22semidirect
167. #17988672C22semidirect
169. #17988667C22semidirect
170. #17988665C22semidirect
172. #17988661C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988643C22semidirect
178. #17988630C22semidirect
179. #17988627C22semidirect
180. #106×D73C22semidirect
181. #17988584C22semidirect
182. C2×#14556516C22semidirect
183. #103×D73C22semidirect
185. #17988542C22semidirect
186. #17988542C22semidirect
187. C4×C8×D73C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #483×C73C22semidirect
192. #482×C73C22semidirect
194. #467×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
200. C8×D4×C73C22semidirect
538. #11924016#41semidirect
869. #3296D73semidirect
887. C73#61490semidirect
904. #552C2×D73semidirect
945. #488C2×D73semidirect
953. #483C2×D73semidirect
955. #482C2×D73semidirect
977. #467C2×D73semidirect
983. #465C2×D73semidirect
987. #464C2×D73semidirect
1043. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239232
#226238602
#226230012
#226228802
#226226242
#226225812
#226224912
#226224042
#226223892
#226218352
#226218132
#226217912
#226217822
#226217512
#226215582
#226214392
#226214242
#226206092
#226206022
#226205002
#226202182
#226202032
#226202012
#226201772
#226201012
#226200742
#226189032
#226187772
#226187572
C4×SD16×D732
C73×#32962
#6149073