Finite Group Databasebeta

← #33954815

Subgroups — #33954815

Order 18688.

1998 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623681C211yesmaximal, characteristic
2#519×D73C211yesmaximal, characteristic, complemented
3#22620232C211yesmaximal, characteristic, complemented
4#22620231C211yesmaximal, characteristic, complemented
5#22620227C211yesmaximal, characteristic, complemented
6#22620225C211yesmaximal, characteristic, complemented
7#22620155C211yesmaximal, characteristic, complemented
8#22620154C211yesmaximal, characteristic, complemented
9#22620153C211yesmaximal, characteristic, complemented
10#22620101C211yesmaximal, characteristic, complemented
11#22620100C211yesmaximal, characteristic, complemented
12#22620063C211yesmaximal, characteristic, complemented
13#22620059C211yesmaximal, characteristic, complemented
14#22620010C211yesmaximal, characteristic, complemented
15#22620009C211yesmaximal, characteristic, complemented
16#22619972C211yesmaximal, characteristic, complemented
17#22619968C211yesmaximal, characteristic, complemented
18#22619878C211yesmaximal, characteristic, complemented
19#22619843C211yesmaximal, characteristic
20#22619768C211yesmaximal, characteristic, complemented
21#22619766C211yesmaximal, characteristic, complemented
22#22619459C211yesmaximal, characteristic, complemented
23#22619459C211yesmaximal, characteristic, complemented
24#22619162C211yesmaximal, characteristic
25#451×D73C211yesmaximal, characteristic, complemented
26#22618796C211yesmaximal, characteristic, complemented
27#22618794C211yesmaximal, characteristic, complemented
28#22618771C211yesmaximal, characteristic, complemented
29#22618767C211yesmaximal, characteristic, complemented
30#22618587C211yesmaximal, characteristic, complemented
31C73×#3121C211yesmaximal, characteristic, complemented
32C22×Q8×D73C2211yescharacteristic
33C2×#14556620C2211yescharacteristic
34C2×#14556620C2211yescharacteristic
35C2×Q16×D73C2211yescharacteristic
36C2×Q16×D73C2211yescharacteristic
37#17989306—21no—
38#17989291—21no—
39#17989274—21no—
40#17989273—21no—
41#17989273—21no—
42#17989271—21no—
43#17989267—21no—
44#17989265—21no—
45#17989214C2211yescharacteristic
46#17989204C2211yescharacteristic
47#17989199C2211yescharacteristic
48#17989197C2211yescharacteristic
49#17989157C2211yescharacteristic
50#17989142C2211yescharacteristic
51#17989141C2211yescharacteristic
52#17989119C2211yescharacteristic
53#17989116C2211yescharacteristic
54#17989097C2211yescharacteristic
55C22⋊Q8×D73C2211yescharacteristic
56#17989066C2211yescharacteristic
57#17989065C2211yescharacteristic
58#17989064—21no—
59#17989064—21no—
60#17989064C2211yescharacteristic
61#17989064C2211yescharacteristic
62#17989063—21no—
63#17989063—21no—
64#17989063C2211yescharacteristic
65#17989063C2211yescharacteristic
66#17989063C2211yescharacteristic
67#17989063C2211yescharacteristic
68#17989063C2211yescharacteristic
69C4×Q8×D73—21no—
70C4×Q8×D73—21no—
71C4×Q8×D73C2211yescharacteristic
72C4×Q8×D73C2211yescharacteristic
73C4×Q8×D73C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic
75#117×D73—21no—
76#117×D73—21no—
77#117×D73C2211yescharacteristic
78#117×D73C2211yescharacteristic
79#17988929C2211yescharacteristic
80#17988929C2211yescharacteristic
81#17988928C2211yescharacteristic
82#17988928C2211yescharacteristic
83#17988925C2211yescharacteristic
84#17988924C2211yescharacteristic
85#17988924C2211yescharacteristic
86#17988921C2211yescharacteristic
87#17988919C2211yescharacteristic
88#17988919C2211yescharacteristic
89#17988916C2211yescharacteristic
90#17988908C2211yescharacteristic
91#17988904C2211yescharacteristic
92#17988899C2211yescharacteristic
93#17988897C2211yescharacteristic, complemented
94#17988896C2211yescharacteristic, complemented
95#17988895C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988894C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988879C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988869C2211yescharacteristic, complemented
107#17988808C2211yescharacteristic, complemented
108#17988808C2211yescharacteristic, complemented
109#17988807C2211yescharacteristic, complemented
110#17988807C2211yescharacteristic, complemented
111#17988806C2211yescharacteristic, complemented
112#17988806C2211yescharacteristic, complemented
113#17988798C2211yescharacteristic, complemented
114#17988798C2211yescharacteristic, complemented
115#17988797C2211yescharacteristic, complemented
116#17988797C2211yescharacteristic, complemented
117#17988796C2211yescharacteristic, complemented
118#17988796C2211yescharacteristic, complemented
119#17988795C2211yescharacteristic, complemented
120#17988795C2211yescharacteristic, complemented
121#17988745C2211yescharacteristic
122#17988745C2211yescharacteristic
123#17988744C2211yescharacteristic
124#17988744C2211yescharacteristic
125#17988744C2211yescharacteristic
126#17988744C2211yescharacteristic
127#17988743C2211yescharacteristic
128#17988743C2211yescharacteristic
129#17988742C2211yescharacteristic
130#17988741C2211yescharacteristic
131#17988741C2211yescharacteristic
132#17988725C2211yescharacteristic
133#17988724C2211yescharacteristic
134#17988724C2211yescharacteristic
135#17988695C2211yescharacteristic, complemented
136#17988695C2211yescharacteristic, complemented
137#17988694C2211yescharacteristic, complemented
138#17988693C2211yescharacteristic, complemented
139#17988693C2211yescharacteristic, complemented
140#17988692C2211yescharacteristic, complemented
141#17988692C2211yescharacteristic, complemented
142#17988692C2211yescharacteristic, complemented
143#17988691C2211yescharacteristic, complemented
144#17988691C2211yescharacteristic, complemented
145#17988691C2211yescharacteristic, complemented
146#17988688C2211yescharacteristic, complemented
147#17988687C2211yescharacteristic, complemented
148#17988684C2211yescharacteristic, complemented
149C4×Dic292C2211yescharacteristic, complemented
150C4×Dic292C2211yescharacteristic, complemented
151Q16×Dic73C2211yescharacteristic, complemented
152#17988681C2211yescharacteristic, complemented
153#17988681C2211yescharacteristic, complemented
154C4×#11924018C2211yescharacteristic, complemented
155C4×#11924018C2211yescharacteristic, complemented
156C4×#11924018C2211yescharacteristic, complemented
157#17988679C2211yescharacteristic, complemented
158#17988679C2211yescharacteristic, complemented
159#17988679C2211yescharacteristic, complemented
160#17988678C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic, complemented
163#17988648C2211yescharacteristic
164#17988645C2211yescharacteristic
165#17988645C2211yescharacteristic
166#17988643C2211yescharacteristic
167#17988642C2211yescharacteristic
168#17988639C2211yescharacteristic
169#17988638C2211yescharacteristic
170#17988628C2211yescharacteristic
171#17988626C2211yescharacteristic
172#17988624C2211yescharacteristic
173#17988622C2211yescharacteristic
174#17988612C2211yescharacteristic
175#17988612C2211yescharacteristic
176#17988594C2211yescharacteristic
177#17988594C2211yescharacteristic
178#17988594C2211yescharacteristic
179#17988594C2211yescharacteristic
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic
182#103×D73C2211yescharacteristic
183#103×D73C2211yescharacteristic
184#17988549C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988541C2211yescharacteristic
188#542×C73C2211yescharacteristic
189#519×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic
191#482×C73C2211yescharacteristic
192#477×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#451×C73C2211yescharacteristic
197#448×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic
203C2×#11924027C2311yescharacteristic
204C22×Dic146—21no—
205C22×Dic146C2311yescharacteristic
206C2×Q8×D73—24no—
207C2×Q8×D73—24no—
208C2×Q8×D73—21no—
209C2×Q8×D73—21no—
210C2×Q8×D73C2311yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C2×Q8×D73C2311yescharacteristic
213C2×Q8×D73C2311yescharacteristic
214C2×Q8×D73C2311yescharacteristic
215C22×C4×D73—21no—
216C22×C4×D73C2311yescharacteristic
217#14556620—24no—
218#14556620—24no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924018C2311yescharacteristic
228C2×#11924018C2311yescharacteristic
229Q16×D73—24no—
230Q16×D73—24no—
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589—21no—
240#14556589C2311yescharacteristic
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556578—21no—
258#14556578C2311yescharacteristic
259#14556573—21no—
260#14556573—21no—
261#14556573—21no—
262#14556573—21no—
263#14556573—21no—
264#14556572—21no—
265#14556571C2311yescharacteristic
266#14556571C2311yescharacteristic
267#14556570C2311yescharacteristic
268#14556570C2311yescharacteristic
269#14556569—21no—
270#14556569—21no—
271#14556569—21no—
272#14556568—21no—
273#14556568—21no—
274#14556568—21no—
275#14556568—21no—
276#14556567—21no—
277#14556567—21no—
278#14556567C2311yescharacteristic
279#14556562C2311yescharacteristic
280#14556559—21no—
281Q8×Dic73—21no—
282Q8×Dic73—21no—
283Q8×Dic73—21no—
284Q8×Dic73C2311yescharacteristic
285Q8×Dic73C2311yescharacteristic
286Q8×Dic73C2311yescharacteristic
287Q8×Dic73C2311yescharacteristic
288Q8×Dic73C2311yescharacteristic
289C4×Dic146—21no—
290C4×Dic146—21no—
291C4×Dic146—21no—
292C4×Dic146—21no—
293C4×Dic146—21no—
294C4×Dic146—21no—
295C4×Dic146—21no—
296C4×Dic146—21no—
297C4×Dic146—21no—
298C4×Dic146—21no—
299C4×Dic146—21no—
300C4×Dic146—21no—
301C4×Dic146C2311yescharacteristic
302C4×Dic146C2311yescharacteristic
303C4×Dic146C2311yescharacteristic
304C4×Dic146C2311yescharacteristic
305C4×Dic146C2311yescharacteristic
306C4×Dic146C2311yescharacteristic
307#14556556—21no—
308#14556556—21no—
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556—21no—
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322#14556556C2311yescharacteristic
323#14556556C2311yescharacteristic
324D4×Dic73—21no—
325D4×Dic73C2311yescharacteristic
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328#14556551—21no—
329#14556551—21no—
330#14556551—21no—
331#14556550—21no—
332#14556550—21no—
333#14556550—21no—
334#14556550C2311yescharacteristic
335#14556550C2311yescharacteristic
336#14556549—21no—
337#14556549—21no—
338#14556549—21no—
339#14556549—21no—
340#14556549—21no—
341#14556549—21no—
342#14556549D411yescharacteristic
343#14556549D411yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556548—21no—
348#14556548—21no—
349#14556548—21no—
350#14556548—21no—
351#14556548—21no—
352#14556548—21no—
353#14556548—21no—
354#14556548C2311yescharacteristic
355#14556548C2311yescharacteristic
356#14556547—21no—
357#14556547—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547D411yescharacteristic
364#14556547D411yescharacteristic
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73D411yescharacteristic
372C4⋊C4×D73D411yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73D411yescharacteristic
379C22⋊C4×D73D411yescharacteristic
380C42×D73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73—21no—
455C4×Q8×C73—21no—
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73C2×D411yescharacteristic
485#11924027—22no—
486#11924027—22no—
487C2×Dic146—28no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—22no—
494C2×Dic146—22no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—28no—
502Q8×D73—28no—
503Q8×D73—22no—
504Q8×D73—22no—
505Q8×D73—22no—
506Q8×D73—22no—
507Q8×D73—22no—
508Q8×D73—22no—
509Q8×D73—22no—
510Q8×D73—22no—
511Q8×D73#4114yes—
512Q8×D73#4114yes—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73C2×D411yescharacteristic
519C2×C4×D73—28no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—22no—
525C2×C4×D73—22no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537C2×C4×D73C2411yescharacteristic
538Dic292—22no—
539Dic292—22no—
540Dic292—22no—
541Dic292—22no—
542#11924018—22no—
543#11924018—22no—
544#11924018—22no—
545#11924018—22no—
546#11924018—22no—
547#11924018—22no—
548#11924016—22no—
549#11924016—22no—
550#11924011—22no—
551#11924011—22no—
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C8×D73—22no—
557C8×D73—22no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621C4×Dic73—21no—
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×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C2×Q8×C73—22no—
649C2×Q8×C73—22no—
650C2×Q8×C73—21no—
651C2×Q8×C73—21no—
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—21no—
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660Q16×C73—22no—
661Q16×C73—22no—
662SD16×C73—22no—
663SD16×C73—22no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73—21no—
692C42×C73—21no—
693C42×C73—21no—
694C42×C73—21no—
695C42×C73C2411yescharacteristic
696C42×C73C2411yescharacteristic
697C23×C73—21no—
698C23×C73C22×D411yescharacteristic
699C22×D73—22no—
700C22×D73—22no—
701C22×D73—41no—
702C22×D73C22×D411yescharacteristic
703C22×D73C22×D411yescharacteristic
704Q8×C73—24no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—81no—
710Q8×C73C2×#4112yes—
711Q8×C73C2×#4112yes—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—81no—
715C2×C4×C73—24no—
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—21no—
725C2×C4×C73—81no—
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—42no—
733C22⋊D73—42no—
734C2×Dic73—24no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—22no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—42no—
745C2×Dic73—81no—
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C4×D73—24no—
753C4×D73—24no—
754C4×D73—24no—
755C4×D73—24no—
756C4×D73—22no—
757C4×D73—22no—
758C4×D73—22no—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—22no—
762C4×D73—41no—
763C4×D73—41no—
764C4×D73—42no—
765C4×D73—42no—
766C4×D73—42no—
767C4×D73—81no—
768C4×D73C2×#4112yes—
769C4×D73C2×#4112yes—
770Dic146—24no—
771Dic146—24no—
772Dic146—24no—
773Dic146—21no—
774Dic146—21no—
775Dic146—24no—
776Dic146—24no—
777Dic146—21no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—42no—
782Dic146—81no—
783Dic146C2×#4112yes—
784Dic146C2×#4112yes—
785C8×C73—21no—
786C8×C73—21no—
787C8×C73—21no—
788C8×C73—21no—
789#10596831—21no—
790#10596831—21no—
791#10596831—21no—
792#10596831—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73C23×D411yescharacteristic
800C2×D73—21no—
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—44no—
805C2×D73#52512yes—
806C2×D73#57812yes—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—22no—
810C4×C73—22no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73C22×#4111yescharacteristic
820C4×C73C22×#4111yescharacteristic
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—22no—
825Dic73—22no—
826Dic73—21no—
827Dic73—21no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73#52512yes—
835#60583—731nomaximal, Sylow
836C2×C73—41no—
837C2×C73—81no—
838C2×C73C2×#52511yescharacteristic
839C2×C73C2×#57811yescharacteristic
840C2×C73#358611yescharacteristic
841D73—22no—
842D73—22no—
843#3495—731no—
844C2×#519—731no—
845#3127—731no—
846#3127—731no—
847#3127—731no—
848#3127—731no—
849#3121—731no—
850#3121—731no—
851#3121—731no—
852#3121D7311yescharacteristic, complemented
853#3117—731no—
854#3117—731no—
855#3113—731no—
856#3113—731no—
857#3108—731no—
858#3108—731no—
859#3104—731no—
860#3104—731no—
861#3095—731no—
862#3091—731no—
863#3082—731no—
864#3082—731no—
865#3044—731no—
866#3044—731no—
867#3004—731no—
868C2×#451—731no—
869#2950—731no—
870#2950—731no—
871#2947—731no—
872#2947—731no—
873#2924—731no—
874C73#6058311yescharacteristic, complemented, Sylow
875C23×Q8—731no—
876C2×#137—731no—
877C2×#137—731no—
878C22×Q16—731no—
879C22×Q16—731no—
880#556—1461no—
881#554—1461no—
882#552—1461no—
883#552—1461no—
884#552—1461no—
885#552—1461no—
886#551—1461no—
887#551—1461no—
888#544—731no—
889#542—731no—
890#542C2×D7311yescharacteristic
891#541—731no—
892#541—731no—
893#536—731no—
894#533—731no—
895#533—731no—
896#529—731no—
897#529—731no—
898#525—731no—
899C2×C22⋊Q8—731no—
900#520—731no—
901#519—731no—
902#519—731no—
903#519—731no—
904#519—731no—
905#519—731no—
906#519—731no—
907#519—731no—
908#519—731no—
909#519—1461no—
910#519—1461no—
911#519—1461no—
912#519—1461no—
913#519C2×D7311yescharacteristic
914C2×C4×Q8—731no—
915C2×C4×Q8—731no—
916C2×C4×Q8—731no—
917C2×C4×Q8—731no—
918C2×C4×Q8—1461no—
919C2×C4×Q8—1461no—
920C2×#117—731no—
921C2×#117—731no—
922C2×#117—1461no—
923C2×#117—1461no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#485—731no—
929#485C2×D7311yescharacteristic
930#484—731no—
931#484—731no—
932#484—731no—
933#483—731no—
934#483—731no—
935#483—731no—
936#482—731no—
937#482C2×D7311yescharacteristic
938#481—731no—
939#480—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#479—731no—
946#479—731no—
947#479—731no—
948#477—731no—
949#477—731no—
950#477—731no—
951#477C2×D7311yescharacteristic, complemented
952#475—731no—
953#475—731no—
954#475—731no—
955#475C2×D7311yescharacteristic, complemented
956#464—731no—
957#464—731no—
958#464—731no—
959#464—731no—
960#464—731no—
961#464—731no—
962#464C2×D7311yescharacteristic, complemented
963#464C2×D7311yescharacteristic, complemented
964#462—731no—
965#462—731no—
966#462—731no—
967#462—731no—
968#462—731no—
969#462—731no—
970#462—731no—
971#462—731no—
972#451—731no—
973#451—731no—
974#451—731no—
975#451—731no—
976#451—731no—
977#451—731no—
978#451—731no—
979#451—731no—
980#451—731no—
981#451—731no—
982#451—731no—
983#451C2×D7311yescharacteristic
984#448—731no—
985#448—731no—
986#448—731no—
987#448C2×D7311yescharacteristic
988#441—731no—
989#441—731no—
990#441—731no—
991#441—731no—
992#441—731no—
993#441—731no—
994#441—731no—
995#441—731no—
996#441—731no—
997#441—731no—
998#441—731no—
999#441C2×D7311yescharacteristic, complemented
1000#440—731no—
1001#440—731no—
1002#440—731no—
1003#440C2×D7311yescharacteristic, complemented
1004C4×Q16—731no—
1005C4×Q16—731no—
1006C4×Q16—731no—
1007C4×Q16—731no—
1008C4×Q16—731no—
1009C4×Q16—731no—
1010C4×Q16—731no—
1011C4×Q16—731no—
1012C4×Q16—731no—
1013C4×Q16—731no—
1014C4×Q16—731no—
1015C4×Q16C2×D7311yescharacteristic, complemented
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×SD16C2×D7311yescharacteristic, complemented
1020#433—731no—
1021#433—731no—
1022#433—731no—
1023#433C2×D7311yescharacteristic
1024#432—731no—
1025#432—731no—
1026#431—731no—
1027#431—731no—
1028#428—731no—
1029#428—731no—
1030#427—731no—
1031#427—731no—
1032#424—731no—
1033#424—731no—
1034#419—731no—
1035#419—731no—
1036#419—731no—
1037#419—731no—
1038#416—731no—
1039#416—731no—
1040C2×#103—731no—
1041C2×#103—731no—
1042#407—731no—
1043C2×C22⋊C8—731no—
1044#405—731no—
1045#405—731no—
1046C2×#41—731no—
1047C22×Q8—731no—
1048C22×Q8—731no—
1049C22×Q8—731no—
1050C22×Q8—731no—
1051C22×Q8—731no—
1052C22×Q8—731no—
1053C22×Q8—1461no—
1054C22×Q8—1461no—
1055C22×Q8—1461no—
1056C22×Q8—1464no—
1057C22×Q8—1464no—
1058C22×Q8C22×D7311yescharacteristic
1059C23×C4—731no—
1060C23×C4—1461no—
1061#137—1464no—
1062#137—1464no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×Q16—731no—
1068C2×Q16—731no—
1069C2×Q16—731no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×Q16—1464no—
1074C2×Q16—1464no—
1075C2×Q16C22×D7311yescharacteristic
1076C2×Q16C22×D7311yescharacteristic
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16C22×D7311yescharacteristic
1080C2×SD16C22×D7311yescharacteristic
1081C2×M16—731no—
1082C2×M16—731no—
1083C22×C8—731no—
1084C22×C8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—21no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#125—731no—
1099#125—731no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125—1461no—
1107#124—21no—
1108#124—731no—
1109#124—1461no—
1110#124C22×D7311yescharacteristic
1111#123—21no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118C22⋊Q8—21no—
1119C22⋊Q8—731no—
1120C22⋊Q8—731no—
1121C22⋊Q8—731no—
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—1461no—
1125C22⋊Q8—1461no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8C22×D7311yescharacteristic
1134#121—731no—
1135#121C22×D7311yescharacteristic
1136#120—1461no—
1137C4×Q8—21no—
1138C4×Q8—21no—
1139C4×Q8—731no—
1140C4×Q8—731no—
1141C4×Q8—731no—
1142C4×Q8—731no—
1143C4×Q8—731no—
1144C4×Q8—731no—
1145C4×Q8—731no—
1146C4×Q8—731no—
1147C4×Q8—731no—
1148C4×Q8—731no—
1149C4×Q8—731no—
1150C4×Q8—731no—
1151C4×Q8—731no—
1152C4×Q8—731no—
1153C4×Q8—731no—
1154C4×Q8—731no—
1155C4×Q8—731no—
1156C4×Q8—1461no—
1157C4×Q8—1461no—
1158C4×Q8—1461no—
1159C4×Q8—1461no—
1160C4×Q8—1461no—
1161C4×Q8—1461no—
1162C4×Q8—1461no—
1163C4×Q8—1461no—
1164C4×Q8—1461no—
1165C4×Q8—1461no—
1166C4×Q8—1461no—
1167C4×Q8—1461no—
1168C4×Q8—1461no—
1169C4×Q8—1461no—
1170C4×Q8—1461no—
1171C4×Q8—1461no—
1172C4×Q8—1461no—
1173C4×Q8—1461no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8C22×D7311yescharacteristic
1183C4×Q8C22×D7311yescharacteristic
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×D4—731no—
1188C4×D4—1461no—
1189C4×D4—1461no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4C22×D7311yescharacteristic
1195#117—21no—
1196#117—21no—
1197#117—731no—
1198#117—731no—
1199#117—731no—
1200#117—731no—
1201#117—731no—
1202#117—731no—
1203#117—731no—
1204#117—731no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—1461no—
1209#117—1461no—
1210#117—1461no—
1211#117—1461no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117C22×D7311yescharacteristic
1232#117C22×D7311yescharacteristic
1233C2×C4⋊C4—731no—
1234C2×C4⋊C4—731no—
1235C2×C4⋊C4—731no—
1236C2×C4⋊C4—731no—
1237C2×C4⋊C4—731no—
1238C2×C4⋊C4—1461no—
1239C2×C4⋊C4—1461no—
1240C2×C4⋊C4—1461no—
1241C2×C4⋊C4—1461no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C22⋊C4—731no—
1245C2×C22⋊C4—731no—
1246C2×C22⋊C4—1461no—
1247C2×C22⋊C4—1461no—
1248C2×C42—731no—
1249C2×C42—731no—
1250C2×C42—1461no—
1251C2×C42—1461no—
1252C2×C42—1461no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255#107—731no—
1256#107—731no—
1257#107—731no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107C22×D7311yescharacteristic
1262#107C22×D7311yescharacteristic
1263#106—731no—
1264#106—731no—
1265#106—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106C22×D7311yescharacteristic
1270#106C22×D7311yescharacteristic
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8C22×D7311yescharacteristic
1278C4⋊C8C22×D7311yescharacteristic
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
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#103C22×D7311yescharacteristic
1306#103C22×D7311yescharacteristic
1307#102—731no—
1308#102—731no—
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8—731no—
1317C22⋊C8C22×D7311yescharacteristic
1318C22⋊C8C22×D7311yescharacteristic
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97C22×D7311yescharacteristic
1323C4×C8—731no—
1324C4×C8—731no—
1325C4×C8—731no—
1326C4×C8C22×D7311yescharacteristic
1327C24—731no—
1328#41—1462no—
1329#41—1462no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—21no—
1333C2×Q8—21no—
1334C2×Q8—734no—
1335C2×Q8—734no—
1336C2×Q8—731no—
1337C2×Q8—731no—
1338C2×Q8—731no—
1339C2×Q8—731no—
1340C2×Q8—1461no—
1341C2×Q8—1461no—
1342C2×Q8—1461no—
1343C2×Q8—1461no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8—1462no—
1347C2×Q8—1462no—
1348C2×Q8—1468no—
1349C2×Q8—1462no—
1350C2×Q8—1462no—
1351C2×Q8—1462no—
1352C2×Q8—1462no—
1353C2×Q8—1462no—
1354C2×Q8—1462no—
1355C2×Q8—1468no—
1356C2×Q8—1468no—
1357C2×Q8—1462no—
1358C2×Q8—1462no—
1359C2×Q8—1461no—
1360C2×Q8C23×D7311yescharacteristic
1361C2×Q8C23×D7311yescharacteristic
1362C2×Q8C23×D7311yescharacteristic
1363C2×D4—21no—
1364C2×D4—1461no—
1365C2×D4—1461no—
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1462no—
1383C22×C4—1462no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1468no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4C23×D7311yescharacteristic
1393Q16—22no—
1394Q16—22no—
1395Q16—1462no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399Q16—1462no—
1400Q16—1462no—
1401Q16—1462no—
1402Q16—1462no—
1403Q16—1462no—
1404Q16—1462no—
1405SD16—22no—
1406SD16—22no—
1407SD16—1462no—
1408SD16—1462no—
1409M16—1462no—
1410M16—1462no—
1411C2×C8—731no—
1412C2×C8—731no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—1462no—
1416C2×C8—1462no—
1417C2×C8C23×D7311yescharacteristic
1418C2×C8C23×D7311yescharacteristic
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1473C4⋊C4D4×D7311yescharacteristic
1474C4⋊C4C23×D7311yescharacteristic
1475C4⋊C4C23×D7311yescharacteristic
1476C4⋊C4C23×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—731no—
1487C22⋊C4—731no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4D4×D7311yescharacteristic
1504C22⋊C4D4×D7311yescharacteristic
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—731no—
1512C42—731no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—1461no—
1518C42—1461no—
1519C42—1461no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42C23×D7311yescharacteristic
1539C42C23×D7311yescharacteristic
1540C23—21no—
1541C23—2921no—
1542C23—731no—
1543C23—731no—
1544C23—1462no—
1545C23—1462no—
1546C23C2×D4×D7311yescharacteristic
1547Q8—24no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—81no—
1553Q8—2922no—
1554Q8—5841no—
1555Q8—732no—
1556Q8—732no—
1557Q8—1464no—
1558Q8—1464no—
1559Q8—1464no—
1560Q8—1464no—
1561Q8—1464no—
1562Q8—1461no—
1563Q8—1461no—
1564Q8—1461no—
1565Q8—1461no—
1566Q8—1461no—
1567Q8—1461no—
1568Q8#41×D7312yes—
1569Q8#41×D7312yes—
1570D4—21no—
1571D4—21no—
1572D4—81no—
1573D4—2922no—
1574D4—2922no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—2921no—
1587C2×C4—2921no—
1588C2×C4—2922no—
1589C2×C4—2922no—
1590C2×C4—2922no—
1591C2×C4—2922no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—731no—
1595C2×C4—732no—
1596C2×C4—732no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—731no—
1601C2×C4—731no—
1602C2×C4—1462no—
1603C2×C4—1462no—
1604C2×C4—1462no—
1605C2×C4—1462no—
1606C2×C4—1464no—
1607C2×C4—1464no—
1608C2×C4—1464no—
1609C2×C4—1464no—
1610C2×C4—1461no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1462no—
1617C2×C4—1464no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4C2×D4×D7311yescharacteristic
1623C2×C4C2×D4×D7311yescharacteristic
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C24×D7311yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1461no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—2924no—
1643C22—732no—
1644C22—732no—
1645C22—1461no—
1646C22—1461no—
1647C22—1461no—
1648C22—1461no—
1649C22C22×D4×D7311yescharacteristic
1650C4—21no—
1651C4—21no—
1652C4—22no—
1653C4—22no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—2921no—
1663C4—2921no—
1664C4—2921no—
1665C4—2921no—
1666C4—2921no—
1667C4—2921no—
1668C4—732no—
1669C4—1461no—
1670C4—1461no—
1671C4—1461no—
1672C4—1462no—
1673C4—1462no—
1674C4—1461no—
1675C4—1461no—
1676C4C2×#41×D7311yescharacteristic
1677C4C2×#41×D7311yescharacteristic
1678C2—41no—
1679C2—81no—
1680C2—1462no—
1681C2—1462no—
1682C2#525×D7311yescharacteristic
1683C2#578×D7311yescharacteristic
1684C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3121C2
socleC22×C73C23×D4
prime radical#17989097C22
hypercenter#3121D73
hypocenterC73#60583
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
2. #519×D73C2semidirect
3. #22620232C2semidirect
4. #22620231C2semidirect
5. #22620227C2semidirect
6. #22620225C2semidirect
7. #22620155C2semidirect
8. #22620154C2semidirect
9. #22620153C2semidirect
10. #22620101C2semidirect
11. #22620100C2semidirect
12. #22620063C2semidirect
13. #22620059C2semidirect
14. #22620010C2semidirect
15. #22620009C2semidirect
16. #22619972C2semidirect
17. #22619968C2semidirect
18. #22619878C2semidirect
20. #22619768C2semidirect
21. #22619766C2semidirect
22. #22619459C2semidirect
23. #22619459C2semidirect
25. #451×D73C2semidirect
26. #22618796C2semidirect
27. #22618794C2semidirect
28. #22618771C2semidirect
29. #22618767C2semidirect
30. #22618587C2semidirect
31. C73×#3121C2semidirect
93. #17988897C22semidirect
94. #17988896C22semidirect
95. #17988895C22semidirect
96. #17988895C22semidirect
97. #17988894C22semidirect
98. #17988894C22semidirect
99. #17988893C22semidirect
100. #17988892C22semidirect
101. #17988881C22semidirect
102. #17988880C22semidirect
103. #17988879C22semidirect
104. #17988871C22semidirect
105. #17988870C22semidirect
106. #17988869C22semidirect
107. #17988808C22semidirect
108. #17988808C22semidirect
109. #17988807C22semidirect
110. #17988807C22semidirect
111. #17988806C22semidirect
112. #17988806C22semidirect
113. #17988798C22semidirect
114. #17988798C22semidirect
115. #17988797C22semidirect
116. #17988797C22semidirect
117. #17988796C22semidirect
118. #17988796C22semidirect
119. #17988795C22semidirect
120. #17988795C22semidirect
135. #17988695C22semidirect
136. #17988695C22semidirect
137. #17988694C22semidirect
138. #17988693C22semidirect
139. #17988693C22semidirect
140. #17988692C22semidirect
141. #17988692C22semidirect
142. #17988692C22semidirect
143. #17988691C22semidirect
144. #17988691C22semidirect
145. #17988691C22semidirect
146. #17988688C22semidirect
147. #17988687C22semidirect
148. #17988684C22semidirect
149. C4×Dic292C22semidirect
150. C4×Dic292C22semidirect
151. Q16×Dic73C22semidirect
152. #17988681C22semidirect
153. #17988681C22semidirect
154. C4×#11924018C22semidirect
155. C4×#11924018C22semidirect
156. C4×#11924018C22semidirect
157. #17988679C22semidirect
158. #17988679C22semidirect
159. #17988679C22semidirect
160. #17988678C22semidirect
161. SD16×Dic73C22semidirect
162. C4×#11924016C22semidirect
192. #477×C73C22semidirect
193. #475×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
198. #441×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×SD16×C73C22semidirect
852. #3121D73semidirect
874. C73#60583semidirect
951. #477C2×D73semidirect
955. #475C2×D73semidirect
962. #464C2×D73semidirect
963. #464C2×D73semidirect
999. #441C2×D73semidirect
1003. #440C2×D73semidirect
1015. C4×Q16C2×D73semidirect
1019. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236812
#519×D732
#226202322
#226202312
#226202272
#226202252
#226201552
#226201542
#226201532
#226201012
#226201002
#226200632
#226200592
#226200102
#226200092
#226199722
#226199682
#226198782
#226198432
#226197682
#226197662
#226194592
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