Finite Group Databasebeta

← #33983192

Subgroups — #33983192

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624570C211yesmaximal, characteristic, complemented
2#22623872C211yesmaximal, characteristic, complemented
3#22622888C211yesmaximal, characteristic, complemented
4#22622804C211yesmaximal, characteristic, complemented
5#22622696C211yesmaximal, characteristic, complemented
6#22622588C211yesmaximal, characteristic, complemented
7#22622527C211yesmaximal, characteristic, complemented
8#22622489C211yesmaximal, characteristic, complemented
9#22622486C211yesmaximal, characteristic, complemented
10#22622456C211yesmaximal, characteristic, complemented
11#22622371C211yesmaximal, characteristic, complemented
12#22622331C211yesmaximal, characteristic, complemented
13#22622155C211yesmaximal, characteristic, complemented
14#22622133C211yesmaximal, characteristic, complemented
15#22622087C211yesmaximal, characteristic, complemented
16#22622073C211yesmaximal, characteristic, complemented
17#22621759C211yesmaximal, characteristic, complemented
18#22621390C211yesmaximal, characteristic, complemented
19#22621337C211yesmaximal, characteristic, complemented
20#22621333C211yesmaximal, characteristic, complemented
21#22621222C211yesmaximal, characteristic, complemented
22#22621188C211yesmaximal, characteristic, complemented
23#22621113C211yesmaximal, characteristic, complemented
24#22620201C211yesmaximal, characteristic, complemented
25#22620121C211yesmaximal, characteristic, complemented
26#22619979C211yesmaximal, characteristic, complemented
27#22619786C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#22619725C211yesmaximal, characteristic, complemented
30#22619077C211yesmaximal, characteristic, complemented
31C73×#3323C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989319C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989305—21no—
38#17989302C2211yescharacteristic, complemented
39#17989294C2211yescharacteristic
40#17989293C2211yescharacteristic, complemented
41#17989289—21no—
42#17989289C2211yescharacteristic
43#17989285C2211yescharacteristic, complemented
44#17989281C2211yescharacteristic
45#17989279C2211yescharacteristic
46#17989275—21no—
47#17989271C2211yescharacteristic, complemented
48#17989263—21no—
49#17989260—21no—
50#17989241C2211yescharacteristic
51#17989225C2211yescharacteristic
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989217C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic, complemented
57#17989209C2211yescharacteristic, complemented
58#17989208—21no—
59#17989206C2211yescharacteristic
60#17989203—21no—
61#17989196—21no—
62#17989190C2211yescharacteristic
63#17989181—21no—
64#17989180—21no—
65#17989174—21no—
66#17989140C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic
68#17989123C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989093—21no—
71C2×#14556575—21no—
72#17989070C2211yescharacteristic
73#17989059C2211yescharacteristic
74C2×D4×Dic73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988985C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988946C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988927C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988920C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic
94#17988912C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic
96#17988910C2211yescharacteristic
97#17988908C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic
101#17988900C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988889C2211yescharacteristic
109#17988889C2211yescharacteristic
110#17988889C2211yescharacteristic, complemented
111#17988889C2211yescharacteristic, complemented
112#17988886C2211yescharacteristic, complemented
113#17988886C2211yescharacteristic, complemented
114#17988885C2211yescharacteristic
115#17988885C2211yescharacteristic, complemented
116#17988884C2211yescharacteristic, complemented
117#17988882C2211yescharacteristic, complemented
118#17988880C2211yescharacteristic, complemented
119#17988880C2211yescharacteristic, complemented
120#17988878C2211yescharacteristic, complemented
121#17988876C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic
123#17988875C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988868C2211yescharacteristic, complemented
126#17988867C2211yescharacteristic
127#17988866C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic
130#17988865C2211yescharacteristic, complemented
131#17988840C2211yescharacteristic
132#17988840C2211yescharacteristic, complemented
133#17988836C2211yescharacteristic, complemented
134#17988835C2211yescharacteristic
135#17988835C2211yescharacteristic, complemented
136#17988830C2211yescharacteristic
137#17988825C2211yescharacteristic, complemented
138#17988822C2211yescharacteristic
139#17988821C2211yescharacteristic, complemented
140#17988818C2211yescharacteristic, complemented
141#17988811C2211yescharacteristic, complemented
142#17988811C2211yescharacteristic, complemented
143#17988805C2211yescharacteristic, complemented
144#17988805C2211yescharacteristic, complemented
145#17988804C2211yescharacteristic
146#17988804C2211yescharacteristic, complemented
147#17988799C2211yescharacteristic, complemented
148#17988785C2211yescharacteristic
149#17988781C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988721C2211yescharacteristic
154#17988716C2211yescharacteristic, complemented
155C8×Dic146C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988694C2211yescharacteristic, complemented
159#17988685C2211yescharacteristic, complemented
160SD16×Dic73C2211yescharacteristic
161SD16×Dic73C2211yescharacteristic
162SD16×Dic73C2211yescharacteristic, complemented
163#17988672C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic, complemented
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic
169#17988659C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988646C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988637C2211yescharacteristic, complemented
175#17988630C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988610C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988583C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#552×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#417×C73C2211yescharacteristic
203C2×#11924027—21no—
204C22×C22⋊D73—21no—
205C2×D4×D73C2311yescharacteristic
206C23×Dic73—21no—
207C2×#11924015C2311yescharacteristic
208C2×#11924015C2311yescharacteristic
209C2×D584C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924012C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C22×#10596831C2311yescharacteristic
215C2×C8×D73C2311yescharacteristic
216#14556591—21no—
217#14556591C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556590—21no—
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556587C2311yescharacteristic
225#14556586—21no—
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586D411yescharacteristic
232#14556585—21no—
233#14556585—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584D411yescharacteristic
239#14556582—21no—
240#14556582—21no—
241#14556582—21no—
242#14556582—21no—
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581D411yescharacteristic
252#14556580C2311yescharacteristic
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577D411yescharacteristic
262#14556576—21no—
263#14556576—21no—
264#14556575—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575D411yescharacteristic
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572D411yescharacteristic
281#14556571—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571—21no—
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568D411yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563D411yescharacteristic
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327C4×D292—21no—
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556549—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556548C2311yescharacteristic
362#14556547—21no—
363C2×C4⋊Dic73—21no—
364C2×C4⋊Dic73—21no—
365C2×C4⋊Dic73C2311yescharacteristic
366C2×C4⋊Dic73C2311yescharacteristic
367C4⋊C4×D73—21no—
368C4⋊C4×D73C2311yescharacteristic
369C2×C22⋊Dic73—21no—
370C2×#11924005—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C22×D4×C73C2311yescharacteristic
437C2×Q16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924027—82no—
480C2×Dic146—21no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2×D411yescharacteristic
486C2×D292—21no—
487C2×D292C2411yescharacteristic
488C2×D292C2411yescharacteristic
489C2×C22⋊D73—21no—
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—82no—
498C2×C22⋊D73C2×D411yescharacteristic
499C2×C22⋊D73C2×D411yescharacteristic
500D4×D73—22no—
501D4×D73—41no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—82no—
510C22×Dic73C2×D411yescharacteristic
511C22×Dic73C2×D411yescharacteristic
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73C2411yescharacteristic
519#11924015—41no—
520#11924015—41no—
521D584—41no—
522#11924013—22no—
523#11924013—41no—
524#11924012—41no—
525#11924011—41no—
526C2×#10596831—41no—
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C8×D73—41no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73C2×D411yescharacteristic
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007C2×D411yescharacteristic
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73C2×D411yescharacteristic
582C22⋊Dic73C2×D411yescharacteristic
583C22⋊Dic73C2×D411yescharacteristic
584C22⋊Dic73C2×D411yescharacteristic
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C24×C73—21no—
621#41×C73—22no—
622#41×C73—41no—
623C2×Q8×C73C2411yescharacteristic
624C2×Q8×C73C2411yescharacteristic
625C2×D4×C73—22no—
626C2×D4×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—41no—
630C2×D4×C73C2×D411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73C2411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638Q16×C73—41no—
639SD16×C73—22no—
640SD16×C73—41no—
641M16×C73—41no—
642M16×C73—41no—
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—42no—
675C23×C73—42no—
676C23×C73—81no—
677C23×C73C22×D411yescharacteristic
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—21no—
688Q8×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—41no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—81no—
696D4×C732−1+412yes—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—42no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C2511yescharacteristic
715C22⋊D73—41no—
716C22⋊D73—41no—
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—41no—
732C2×Dic73—41no—
733C2×Dic73—42no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747D292—21no—
748D292—21no—
749D292—21no—
750D292—21no—
751D292—81no—
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760Dic146—41no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—22no—
779C22×C73—21no—
780C22×C73—21no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—84no—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73C2×2−1+411yescharacteristic
809C4×C73#58511yescharacteristic
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—41no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—41no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323D7311yescharacteristic, complemented
848#3322—731no—
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105—731no—
861#3083—731no—
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—731no—
878#553—1461no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#552C2×D7311yescharacteristic, complemented
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—1461no—
888#546C2×D7311yescharacteristic
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—1461no—
896#542—1461no—
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518—731no—
910C2×C4×D4—731no—
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488C2×D7311yescharacteristic, complemented
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485C2×D7311yescharacteristic, complemented
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#481—731no—
937#481—731no—
938#481—731no—
939#481C2×D7311yescharacteristic, complemented
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478C2×D7311yescharacteristic
957#477—731no—
958#477—731no—
959#477—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470C2×D7311yescharacteristic, complemented
972#469—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468C2×D7311yescharacteristic, complemented
979#467—731no—
980#466—731no—
981#466—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464C2×D7311yescharacteristic, complemented
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452C2×D7311yescharacteristic
994#450—731no—
995#450C2×D7311yescharacteristic
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16C2×D7311yescharacteristic
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#436—731no—
1014#436—731no—
1015#436C2×D7311yescharacteristic, complemented
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418C2×D7311yescharacteristic
1034#417C2×D7311yescharacteristic
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C22×D4—731no—
1040C22×D4—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C23×C4—1461no—
1043C2×Q16C22×D7311yescharacteristic
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16C22×D7311yescharacteristic
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065#127—731no—
1066#126—21no—
1067#126—731no—
1068#126—731no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—21no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125C22×D7311yescharacteristic
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124C22×D7311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—731no—
1110#123—731no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8C22×D7311yescharacteristic
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121C22×D7311yescharacteristic
1167#120—21no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—21no—
1313C24—1461no—
1314#41—22no—
1315#41—41no—
1316#41—5842no—
1317C2×Q8—731no—
1318C2×Q8—1461no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8C23×D7311yescharacteristic
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—41no—
1330C2×D4—2921no—
1331C2×D4—5842no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1462no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4D4×D7311yescharacteristic
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—5842no—
1353C22×C4—731no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—1461no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—41no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4D4×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4D4×D7311yescharacteristic
1489C22⋊C4D4×D7311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—2922no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—1461no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—2921no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—41no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—2922no—
1537D4—2922no—
1538D4—2921no—
1539D4—2921no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550D4—1461no—
1551D4#1455663812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—2922no—
1566C2×C4—2921no—
1567C2×C4—2921no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—731no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—11682no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360211yescharacteristic
1665C2#2262470311yescharacteristic
1666C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3323C2
socleC22×C73C23×D4
hypercenter#3323D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #22624570C2semidirect
2. #22623872C2semidirect
3. #22622888C2semidirect
4. #22622804C2semidirect
5. #22622696C2semidirect
6. #22622588C2semidirect
7. #22622527C2semidirect
8. #22622489C2semidirect
9. #22622486C2semidirect
10. #22622456C2semidirect
11. #22622371C2semidirect
12. #22622331C2semidirect
13. #22622155C2semidirect
14. #22622133C2semidirect
15. #22622087C2semidirect
16. #22622073C2semidirect
17. #22621759C2semidirect
18. #22621390C2semidirect
19. #22621337C2semidirect
20. #22621333C2semidirect
21. #22621222C2semidirect
22. #22621188C2semidirect
23. #22621113C2semidirect
24. #22620201C2semidirect
25. #22620121C2semidirect
26. #22619979C2semidirect
27. #22619786C2semidirect
28. #22619761C2semidirect
29. #22619725C2semidirect
30. #22619077C2semidirect
31. C73×#3323C2semidirect
35. #17989316C22semidirect
38. #17989302C22semidirect
40. #17989293C22semidirect
43. #17989285C22semidirect
47. #17989271C22semidirect
54. #17989218C22semidirect
55. #17989217C22semidirect
56. #17989210C22semidirect
57. #17989209C22semidirect
66. #17989140C22semidirect
68. #17989123C22semidirect
75. #17988997C22semidirect
76. #17988994C22semidirect
77. #17988988C22semidirect
78. #17988987C22semidirect
79. #17988987C22semidirect
80. #17988985C22semidirect
82. #17988946C22semidirect
83. #17988943C22semidirect
84. #17988943C22semidirect
86. #17988927C22semidirect
87. #17988926C22semidirect
88. #17988925C22semidirect
89. #17988920C22semidirect
90. #17988916C22semidirect
91. #17988915C22semidirect
92. #17988913C22semidirect
94. #17988912C22semidirect
97. #17988908C22semidirect
98. #17988906C22semidirect
99. #17988906C22semidirect
101. #17988900C22semidirect
102. #17988892C22semidirect
103. #17988892C22semidirect
104. #17988892C22semidirect
105. #17988892C22semidirect
106. #17988890C22semidirect
110. #17988889C22semidirect
111. #17988889C22semidirect
112. #17988886C22semidirect
113. #17988886C22semidirect
115. #17988885C22semidirect
116. #17988884C22semidirect
117. #17988882C22semidirect
118. #17988880C22semidirect
119. #17988880C22semidirect
120. #17988878C22semidirect
121. #17988876C22semidirect
123. #17988875C22semidirect
124. #17988870C22semidirect
125. #17988868C22semidirect
127. #17988866C22semidirect
130. #17988865C22semidirect
132. #17988840C22semidirect
133. #17988836C22semidirect
135. #17988835C22semidirect
137. #17988825C22semidirect
139. #17988821C22semidirect
140. #17988818C22semidirect
141. #17988811C22semidirect
142. #17988811C22semidirect
143. #17988805C22semidirect
144. #17988805C22semidirect
146. #17988804C22semidirect
147. #17988799C22semidirect
154. #17988716C22semidirect
155. C8×Dic146C22semidirect
158. #17988694C22semidirect
159. #17988685C22semidirect
162. SD16×Dic73C22semidirect
163. #17988672C22semidirect
164. C4×D584C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
169. #17988659C22semidirect
171. #17988650C22semidirect
172. #17988646C22semidirect
173. #17988645C22semidirect
174. #17988637C22semidirect
175. #17988630C22semidirect
176. #17988629C22semidirect
177. #17988629C22semidirect
178. #17988628C22semidirect
179. #17988622C22semidirect
180. C2×#14556524C22semidirect
181. #17988615C22semidirect
182. #17988612C22semidirect
183. #17988610C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #481×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #464×C73C22semidirect
200. #436×C73C22semidirect
847. #3323D73semidirect
865. C73#62175semidirect
882. #552C2×D73semidirect
921. #488C2×D73semidirect
926. #485C2×D73semidirect
939. #481C2×D73semidirect
971. #470C2×D73semidirect
978. #468C2×D73semidirect
985. #464C2×D73semidirect
1015. #436C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245702
#226238722
#226228882
#226228042
#226226962
#226225882
#226225272
#226224892
#226224862
#226224562
#226223712
#226223312
#226221552
#226221332
#226220872
#226220732
#226217592
#226213902
#226213372
#226213332
#226212222
#226211882
#226211132
#226202012
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C73×#33232
#6217573