Finite Group Databasebeta

← C73×#62555 #32971959

Subgroups — C73×#62555 #32971959

Order 18688.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3565C211yesmaximal, characteristic, complemented
2C73×#3562C211yesmaximal, characteristic, complemented
3C73×#3376C211yesmaximal, characteristic, complemented
4C73×#3371C211yesmaximal, characteristic, complemented
5C73×#3364C211yesmaximal, characteristic, complemented
6C73×#3361C211yesmaximal, characteristic, complemented
7C73×#3326C211yesmaximal, characteristic, complemented
8C73×#3323C211yesmaximal, characteristic, complemented
9C73×#3319C211yesmaximal, characteristic, complemented
10C73×#3315C211yesmaximal, characteristic, complemented
11C73×#3313C211yesmaximal, characteristic, complemented
12C73×#3309C211yesmaximal, characteristic, complemented
13C73×#3304C211yesmaximal, characteristic, complemented
14C73×#3303C211yesmaximal, characteristic, complemented
15C73×#3301C211yesmaximal, characteristic, complemented
16C73×#3300C211yesmaximal, characteristic, complemented
17C73×#3297C211yesmaximal, characteristic, complemented
18C73×#3296C211yesmaximal, characteristic, complemented
19C73×#3242C211yesmaximal, characteristic, complemented
20C73×#3241C211yesmaximal, characteristic, complemented
21C73×#3240C211yesmaximal, characteristic, complemented
22C73×#3225C211yesmaximal, characteristic, complemented
23C73×#3224C211yesmaximal, characteristic, complemented
24C73×#3219C211yesmaximal, characteristic, complemented
25C73×#3179C211yesmaximal, characteristic, complemented
26C73×#3178C211yesmaximal, characteristic, complemented
27C73×#3168C211yesmaximal, characteristic, complemented
28C73×#3137C211yesmaximal, characteristic, complemented
29C73×#3136C211yesmaximal, characteristic, complemented
30C73×#3131C211yesmaximal, characteristic, complemented
31C73×#2966C211yesmaximal, characteristic, complemented
32#563×C73—21no—
33#562×C73—21no—
34#562×C73—21no—
35#560×C73—21no—
36#559×C73C2211yescharacteristic
37#557×C73C2211yescharacteristic, complemented
38#556×C73—21no—
39#556×C73C2211yescharacteristic
40#556×C73C2211yescharacteristic, complemented
41#555×C73C2211yescharacteristic
42#554×C73C2211yescharacteristic, complemented
43#553×C73—21no—
44#553×C73C2211yescharacteristic
45#553×C73C2211yescharacteristic, complemented
46#552×C73—21no—
47#552×C73C2211yescharacteristic
48#552×C73C2211yescharacteristic
49#551×C73—21no—
50#550×C73C2211yescharacteristic
51#548×C73C2211yescharacteristic
52#548×C73C2211yescharacteristic
53#547×C73C2211yescharacteristic
54#546×C73C2211yescharacteristic
55#546×C73C2211yescharacteristic
56#544×C73C2211yescharacteristic
57#544×C73C2211yescharacteristic, complemented
58#542×C73—21no—
59#542×C73—21no—
60#542×C73C2211yescharacteristic
61#542×C73C2211yescharacteristic, complemented
62#541×C73—21no—
63#541×C73C2211yescharacteristic
64#540×C73—21no—
65#540×C73C2211yescharacteristic
66#539×C73—21no—
67#539×C73—21no—
68#538×C73—21no—
69#538×C73—21no—
70#536×C73C2211yescharacteristic
71#535×C73C2211yescharacteristic
72#533×C73C2211yescharacteristic, complemented
73#532×C73C2211yescharacteristic
74#529×C73C2211yescharacteristic
75#529×C73C2211yescharacteristic
76#529×C73C2211yescharacteristic, complemented
77#501×C73C2211yescharacteristic, complemented
78#501×C73C2211yescharacteristic, complemented
79#499×C73C2211yescharacteristic, complemented
80#497×C73C2211yescharacteristic, complemented
81#496×C73C2211yescharacteristic
82#495×C73C2211yescharacteristic
83#491×C73C2211yescharacteristic, complemented
84#491×C73C2211yescharacteristic, complemented
85#490×C73C2211yescharacteristic
86#490×C73C2211yescharacteristic
87#489×C73C2211yescharacteristic
88#489×C73C2211yescharacteristic
89#489×C73C2211yescharacteristic
90#489×C73C2211yescharacteristic
91#488×C73C2211yescharacteristic
92#488×C73C2211yescharacteristic
93#488×C73C2211yescharacteristic
94#488×C73C2211yescharacteristic
95#488×C73C2211yescharacteristic
96#488×C73C2211yescharacteristic, complemented
97#488×C73C2211yescharacteristic, complemented
98#488×C73C2211yescharacteristic, complemented
99#487×C73C2211yescharacteristic, complemented
100#487×C73C2211yescharacteristic, complemented
101#487×C73C2211yescharacteristic, complemented
102#486×C73C2211yescharacteristic
103#486×C73C2211yescharacteristic
104#486×C73C2211yescharacteristic
105#485×C73C2211yescharacteristic
106#485×C73C2211yescharacteristic
107#485×C73C2211yescharacteristic, complemented
108#485×C73C2211yescharacteristic, complemented
109#484×C73C2211yescharacteristic
110#483×C73C2211yescharacteristic
111#482×C73C2211yescharacteristic
112#482×C73C2211yescharacteristic
113#482×C73C2211yescharacteristic
114#482×C73C2211yescharacteristic, complemented
115#481×C73C2211yescharacteristic
116#480×C73C2211yescharacteristic, complemented
117#479×C73C2211yescharacteristic, complemented
118#479×C73C2211yescharacteristic, complemented
119#479×C73C2211yescharacteristic, complemented
120#479×C73C2211yescharacteristic, complemented
121#478×C73C2211yescharacteristic
122#478×C73C2211yescharacteristic
123#478×C73C2211yescharacteristic
124#478×C73C2211yescharacteristic, complemented
125#477×C73C2211yescharacteristic, complemented
126#476×C73C2211yescharacteristic, complemented
127#475×C73C2211yescharacteristic, complemented
128#474×C73C2211yescharacteristic
129#470×C73C2211yescharacteristic
130#469×C73C2211yescharacteristic, complemented
131#468×C73C2211yescharacteristic
132#468×C73C2211yescharacteristic
133#467×C73C2211yescharacteristic
134#467×C73C2211yescharacteristic, complemented
135#466×C73C2211yescharacteristic
136#466×C73C2211yescharacteristic
137#465×C73C2211yescharacteristic
138#465×C73C2211yescharacteristic
139#465×C73C2211yescharacteristic, complemented
140#465×C73C2211yescharacteristic, complemented
141#464×C73C2211yescharacteristic
142#464×C73C2211yescharacteristic
143#464×C73C2211yescharacteristic
144#464×C73C2211yescharacteristic, complemented
145#463×C73C2211yescharacteristic
146#463×C73C2211yescharacteristic
147#463×C73C2211yescharacteristic
148#463×C73C2211yescharacteristic, complemented
149#462×C73C2211yescharacteristic, complemented
150#461×C73C2211yescharacteristic, complemented
151#460×C73C2211yescharacteristic
152#459×C73C2211yescharacteristic
153#452×C73C2211yescharacteristic
154#452×C73C2211yescharacteristic
155#452×C73C2211yescharacteristic
156#452×C73C2211yescharacteristic, complemented
157#451×C73C2211yescharacteristic, complemented
158#450×C73C2211yescharacteristic
159#449×C73C2211yescharacteristic
160#449×C73C2211yescharacteristic
161#449×C73C2211yescharacteristic
162#449×C73C2211yescharacteristic, complemented
163#448×C73C2211yescharacteristic, complemented
164#447×C73C2211yescharacteristic
165#446×C73C2211yescharacteristic, complemented
166C8×Q8×C73C2211yescharacteristic, complemented
167#442×C73C2211yescharacteristic
168#441×C73C2211yescharacteristic, complemented
169#440×C73C2211yescharacteristic, complemented
170#440×C73C2211yescharacteristic, complemented
171C4×Q16×C73C2211yescharacteristic, complemented
172C4×Q16×C73C2211yescharacteristic, complemented
173C4×SD16×C73C2211yescharacteristic
174C4×SD16×C73C2211yescharacteristic
175C4×SD16×C73C2211yescharacteristic, complemented
176C4×SD16×C73C2211yescharacteristic, complemented
177C4×D8×C73C2211yescharacteristic
178C4×D8×C73C2211yescharacteristic, complemented
179#436×C73C2211yescharacteristic
180#435×C73C2211yescharacteristic
181#435×C73C2211yescharacteristic, complemented
182C8×D4×C73C2211yescharacteristic
183C8×D4×C73C2211yescharacteristic
184C8×D4×C73C2211yescharacteristic, complemented
185#433×C73C2211yescharacteristic
186#433×C73C2211yescharacteristic, complemented
187#432×C73C2211yescharacteristic, complemented
188#419×C73C2211yescharacteristic, complemented
189#418×C73C2211yescharacteristic
190#417×C73C2211yescharacteristic
191#417×C73C2211yescharacteristic
192#416×C73C2211yescharacteristic
193#416×C73C2211yescharacteristic
194#416×C73C2211yescharacteristic
195#416×C73C2211yescharacteristic
196#416×C73C2211yescharacteristic, complemented
197#416×C73C2211yescharacteristic, complemented
198C2×#103×C73C2211yescharacteristic, complemented
199C2×#102×C73C2211yescharacteristic
200#405×C73C2211yescharacteristic
201#405×C73C2211yescharacteristic, complemented
202C2×C4×C8×C73C2211yescharacteristic, complemented
203C2×#41×C73C2311yescharacteristic
204C2×#41×C73C2311yescharacteristic
205C2×#41×C73C2311yescharacteristic
206C2×#41×C73C2311yescharacteristic
207C22×Q8×C73C2311yescharacteristic
208C22×D4×C73C2311yescharacteristic
209C2×Q16×C73C2311yescharacteristic
210C2×Q16×C73C2311yescharacteristic
211C2×Q16×C73C2311yescharacteristic
212C2×SD16×C73C2311yescharacteristic
213C2×SD16×C73C2311yescharacteristic
214C2×SD16×C73C2311yescharacteristic
215C2×SD16×C73C2311yescharacteristic
216C2×SD16×C73C2311yescharacteristic
217C2×SD16×C73C2311yescharacteristic
218C2×D8×C73C2311yescharacteristic
219C2×D8×C73C2311yescharacteristic
220C2×D8×C73C2311yescharacteristic
221C2×M16×C73C2311yescharacteristic
222C2×M16×C73C2311yescharacteristic
223C22×C8×C73C2311yescharacteristic
224C22×C8×C73C2311yescharacteristic
225C22×C8×C73C2311yescharacteristic
226C22×C8×C73C2311yescharacteristic
227C4⋊Q8×C73—21no—
228C4⋊Q8×C73—21no—
229C4⋊Q8×C73—21no—
230C4⋊Q8×C73C2311yescharacteristic
231C4⋊Q8×C73C2311yescharacteristic
232C4⋊Q8×C73C2311yescharacteristic
233C4⋊Q8×C73C2311yescharacteristic
234C4⋊Q8×C73C2311yescharacteristic
235C4⋊Q8×C73C2311yescharacteristic
236#127×C73—21no—
237#127×C73C2311yescharacteristic
238#127×C73C2311yescharacteristic
239#126×C73—21no—
240#126×C73—21no—
241#126×C73—21no—
242#126×C73—21no—
243#126×C73—21no—
244#126×C73—21no—
245#126×C73—21no—
246#126×C73—21no—
247#126×C73—21no—
248#126×C73—21no—
249#126×C73—21no—
250#126×C73—21no—
251#126×C73—21no—
252#126×C73—21no—
253#126×C73D411yescharacteristic
254#126×C73D411yescharacteristic
255#125×C73—21no—
256#125×C73—21no—
257#125×C73—21no—
258#125×C73—21no—
259#125×C73—21no—
260#125×C73—21no—
261#125×C73—21no—
262#125×C73—21no—
263#125×C73D411yescharacteristic
264#125×C73C2311yescharacteristic
265#125×C73C2311yescharacteristic
266#125×C73C2311yescharacteristic
267#125×C73C2311yescharacteristic
268#125×C73C2311yescharacteristic
269#125×C73C2311yescharacteristic
270#124×C73—21no—
271#124×C73—21no—
272#124×C73—21no—
273#124×C73—21no—
274#124×C73—21no—
275#124×C73—21no—
276#124×C73—21no—
277#124×C73—21no—
278#124×C73D411yescharacteristic
279#124×C73C2311yescharacteristic
280#124×C73C2311yescharacteristic
281#124×C73C2311yescharacteristic
282#124×C73C2311yescharacteristic
283#124×C73C2311yescharacteristic
284#124×C73C2311yescharacteristic
285#123×C73—21no—
286#123×C73—21no—
287#123×C73—21no—
288#123×C73—21no—
289#123×C73—21no—
290#123×C73—21no—
291#123×C73—21no—
292#123×C73—21no—
293#123×C73—21no—
294#123×C73—21no—
295#123×C73—21no—
296#123×C73—21no—
297#123×C73—21no—
298#123×C73—21no—
299#123×C73—21no—
300#123×C73—21no—
301#123×C73—21no—
302#123×C73—21no—
303#123×C73D411yescharacteristic
304#123×C73D411yescharacteristic
305C22⋊Q8×C73—21no—
306C22⋊Q8×C73—21no—
307C22⋊Q8×C73—21no—
308C22⋊Q8×C73—21no—
309C22⋊Q8×C73—21no—
310C22⋊Q8×C73—21no—
311C22⋊Q8×C73—21no—
312C22⋊Q8×C73—21no—
313C22⋊Q8×C73—21no—
314C22⋊Q8×C73—21no—
315C22⋊Q8×C73—21no—
316C22⋊Q8×C73—21no—
317C22⋊Q8×C73—21no—
318C22⋊Q8×C73—21no—
319C22⋊Q8×C73—21no—
320C22⋊Q8×C73—21no—
321C22⋊Q8×C73D411yescharacteristic
322C22⋊Q8×C73C2311yescharacteristic
323C22⋊Q8×C73C2311yescharacteristic
324C22⋊Q8×C73C2311yescharacteristic
325C22⋊Q8×C73C2311yescharacteristic
326C22⋊Q8×C73C2311yescharacteristic
327C22⋊Q8×C73C2311yescharacteristic
328#121×C73—21no—
329#121×C73—21no—
330#121×C73—21no—
331#121×C73—21no—
332#121×C73—21no—
333#121×C73—21no—
334#121×C73—21no—
335#121×C73—21no—
336#121×C73—21no—
337#121×C73—21no—
338#121×C73—21no—
339#121×C73—21no—
340#121×C73—21no—
341#121×C73—21no—
342#121×C73—21no—
343#121×C73—21no—
344#121×C73D411yescharacteristic
345#121×C73C2311yescharacteristic
346#121×C73C2311yescharacteristic
347#121×C73C2311yescharacteristic
348#121×C73C2311yescharacteristic
349#121×C73C2311yescharacteristic
350#121×C73C2311yescharacteristic
351#120×C73—21no—
352#120×C73—21no—
353#120×C73—21no—
354#120×C73—21no—
355C4×Q8×C73—21no—
356C4×Q8×C73—21no—
357C4×Q8×C73—21no—
358C4×Q8×C73—21no—
359C4×Q8×C73C2311yescharacteristic
360C4×Q8×C73C2311yescharacteristic
361C4×Q8×C73C2311yescharacteristic
362C4×Q8×C73C2311yescharacteristic
363C4×Q8×C73C2311yescharacteristic
364C4×Q8×C73C2311yescharacteristic
365C4×Q8×C73C2311yescharacteristic
366C4×D4×C73—21no—
367C4×D4×C73—21no—
368C4×D4×C73—21no—
369C4×D4×C73—21no—
370C4×D4×C73—21no—
371C4×D4×C73—21no—
372C4×D4×C73—21no—
373C4×D4×C73—21no—
374C4×D4×C73—21no—
375C4×D4×C73—21no—
376C4×D4×C73C2311yescharacteristic
377C4×D4×C73C2311yescharacteristic
378C4×D4×C73C2311yescharacteristic
379C4×D4×C73C2311yescharacteristic
380C4×D4×C73C2311yescharacteristic
381C4×D4×C73C2311yescharacteristic
382C4×D4×C73C2311yescharacteristic
383C4×D4×C73C2311yescharacteristic
384C4×D4×C73C2311yescharacteristic
385#117×C73—21no—
386#117×C73—21no—
387#117×C73—21no—
388#117×C73—21no—
389#117×C73—21no—
390#117×C73—21no—
391#117×C73C2311yescharacteristic
392#117×C73C2311yescharacteristic
393#117×C73C2311yescharacteristic
394#117×C73C2311yescharacteristic
395#117×C73C2311yescharacteristic
396#117×C73C2311yescharacteristic
397C2×C4⋊C4×C73—21no—
398C2×C4⋊C4×C73—21no—
399C2×C4⋊C4×C73C2311yescharacteristic
400C2×C4⋊C4×C73C2311yescharacteristic
401C2×C22⋊C4×C73—21no—
402C2×C22⋊C4×C73—21no—
403C2×C42×C73C2311yescharacteristic
404#107×C73C2311yescharacteristic
405#107×C73C2311yescharacteristic
406#107×C73C2311yescharacteristic
407#107×C73C2311yescharacteristic
408#107×C73C2311yescharacteristic
409#107×C73C2311yescharacteristic
410#106×C73C2311yescharacteristic
411#106×C73C2311yescharacteristic
412#106×C73C2311yescharacteristic
413#106×C73C2311yescharacteristic
414#106×C73C2311yescharacteristic
415#106×C73C2311yescharacteristic
416C4⋊C8×C73C2311yescharacteristic
417C4⋊C8×C73C2311yescharacteristic
418C4⋊C8×C73C2311yescharacteristic
419C4⋊C8×C73C2311yescharacteristic
420C4⋊C8×C73C2311yescharacteristic
421C4⋊C8×C73C2311yescharacteristic
422#103×C73C2311yescharacteristic
423#103×C73C2311yescharacteristic
424#103×C73C2311yescharacteristic
425#103×C73C2311yescharacteristic
426#103×C73C2311yescharacteristic
427#103×C73C2311yescharacteristic
428#103×C73C2311yescharacteristic
429#103×C73C2311yescharacteristic
430#103×C73C2311yescharacteristic
431#103×C73C2311yescharacteristic
432#103×C73C2311yescharacteristic
433#103×C73C2311yescharacteristic
434#103×C73C2311yescharacteristic
435#103×C73C2311yescharacteristic
436#103×C73C2311yescharacteristic
437#103×C73C2311yescharacteristic
438#103×C73C2311yescharacteristic
439#103×C73C2311yescharacteristic
440#103×C73C2311yescharacteristic
441#103×C73C2311yescharacteristic
442#102×C73C2311yescharacteristic
443#102×C73C2311yescharacteristic
444#102×C73C2311yescharacteristic
445#102×C73C2311yescharacteristic
446#102×C73C2311yescharacteristic
447#102×C73C2311yescharacteristic
448#102×C73C2311yescharacteristic
449#102×C73C2311yescharacteristic
450#102×C73C2311yescharacteristic
451#102×C73C2311yescharacteristic
452#102×C73C2311yescharacteristic
453#102×C73C2311yescharacteristic
454#102×C73C2311yescharacteristic
455#102×C73C2311yescharacteristic
456#102×C73C2311yescharacteristic
457#102×C73C2311yescharacteristic
458#102×C73C2311yescharacteristic
459#102×C73C2311yescharacteristic
460#102×C73C2311yescharacteristic
461#102×C73C2311yescharacteristic
462C22⋊C8×C73C2311yescharacteristic
463C22⋊C8×C73C2311yescharacteristic
464C22⋊C8×C73C2311yescharacteristic
465C22⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468#97×C73C2311yescharacteristic
469#97×C73C2311yescharacteristic
470#97×C73C2311yescharacteristic
471#97×C73C2311yescharacteristic
472C4×C8×C73C2311yescharacteristic
473C4×C8×C73C2311yescharacteristic
474C4×C8×C73C2311yescharacteristic
475C4×C8×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C24×C73—21no—
479#41×C73—41no—
480#41×C73—41no—
481#41×C73—41no—
482#41×C73—41no—
483#41×C73—41no—
484#41×C73—41no—
485#41×C73—41no—
486#41×C73—41no—
487C2×Q8×C73—21no—
488C2×Q8×C73—21no—
489C2×Q8×C73—21no—
490C2×Q8×C73—21no—
491C2×Q8×C73—21no—
492C2×Q8×C73—41no—
493C2×Q8×C73—41no—
494C2×Q8×C73C2×D411yescharacteristic
495C2×Q8×C73C2411yescharacteristic
496C2×Q8×C73C2411yescharacteristic
497C2×Q8×C73C2411yescharacteristic
498C2×Q8×C73C2411yescharacteristic
499C2×D4×C73—21no—
500C2×D4×C73—21no—
501C2×D4×C73—21no—
502C2×D4×C73—21no—
503C2×D4×C73—21no—
504C2×D4×C73—21no—
505C2×D4×C73—21no—
506C2×D4×C73—21no—
507C2×D4×C73—21no—
508C2×D4×C73—21no—
509C2×D4×C73—21no—
510C2×D4×C73—21no—
511C2×D4×C73—21no—
512C2×D4×C73—21no—
513C2×D4×C73—21no—
514C2×D4×C73—41no—
515C2×D4×C73—41no—
516C2×D4×C73C2×D411yescharacteristic
517C2×D4×C73C2×D411yescharacteristic
518C2×D4×C73C2×D411yescharacteristic
519C2×D4×C73C2411yescharacteristic
520C2×D4×C73C2411yescharacteristic
521C2×D4×C73C2411yescharacteristic
522C2×D4×C73C2411yescharacteristic
523C22×C4×C73—21no—
524C22×C4×C73—21no—
525C22×C4×C73—21no—
526C22×C4×C73—21no—
527C22×C4×C73—21no—
528C22×C4×C73—21no—
529C22×C4×C73—21no—
530C22×C4×C73—21no—
531C22×C4×C73—21no—
532C22×C4×C73—21no—
533C22×C4×C73—21no—
534C22×C4×C73—21no—
535C22×C4×C73—21no—
536C22×C4×C73C2×D411yescharacteristic
537C22×C4×C73C2×D411yescharacteristic
538C22×C4×C73C2411yescharacteristic
539C22×C4×C73C2411yescharacteristic
540C22×C4×C73C2411yescharacteristic
541Q16×C73—41no—
542Q16×C73—41no—
543Q16×C73—41no—
544SD16×C73—41no—
545SD16×C73—41no—
546SD16×C73—41no—
547SD16×C73—41no—
548SD16×C73—41no—
549SD16×C73—41no—
550D8×C73—41no—
551D8×C73—41no—
552D8×C73—41no—
553M16×C73—41no—
554M16×C73—41no—
555C2×C8×C73—41no—
556C2×C8×C73—41no—
557C2×C8×C73—41no—
558C2×C8×C73—41no—
559C2×C8×C73C2411yescharacteristic
560C2×C8×C73C2411yescharacteristic
561C2×C8×C73C2411yescharacteristic
562C2×C8×C73C2411yescharacteristic
563C2×C8×C73C2411yescharacteristic
564C2×C8×C73C2411yescharacteristic
565C2×C8×C73C2411yescharacteristic
566C2×C8×C73C2411yescharacteristic
567C4⋊C4×C73—21no—
568C4⋊C4×C73—21no—
569C4⋊C4×C73—21no—
570C4⋊C4×C73—21no—
571C4⋊C4×C73—21no—
572C4⋊C4×C73—21no—
573C4⋊C4×C73—21no—
574C4⋊C4×C73—21no—
575C4⋊C4×C73—21no—
576C4⋊C4×C73—21no—
577C4⋊C4×C73—21no—
578C4⋊C4×C73—21no—
579C4⋊C4×C73—21no—
580C4⋊C4×C73—21no—
581C4⋊C4×C73—21no—
582C4⋊C4×C73—21no—
583C4⋊C4×C73—21no—
584C4⋊C4×C73—21no—
585C4⋊C4×C73—21no—
586C4⋊C4×C73—21no—
587C4⋊C4×C73—21no—
588C4⋊C4×C73—21no—
589C4⋊C4×C73—21no—
590C4⋊C4×C73—21no—
591C4⋊C4×C73—21no—
592C4⋊C4×C73—21no—
593C4⋊C4×C73—21no—
594C4⋊C4×C73—21no—
595C4⋊C4×C73—21no—
596C4⋊C4×C73—21no—
597C4⋊C4×C73—21no—
598C4⋊C4×C73—21no—
599C4⋊C4×C73—21no—
600C4⋊C4×C73—21no—
601C4⋊C4×C73C2×D411yescharacteristic
602C4⋊C4×C73C2×D411yescharacteristic
603C4⋊C4×C73C2×D411yescharacteristic
604C4⋊C4×C73C2×D411yescharacteristic
605C4⋊C4×C73C2×D411yescharacteristic
606C4⋊C4×C73C2×D411yescharacteristic
607C4⋊C4×C73C2×D411yescharacteristic
608C4⋊C4×C73C2×D411yescharacteristic
609C4⋊C4×C73C2×D411yescharacteristic
610C4⋊C4×C73C2×D411yescharacteristic
611C4⋊C4×C73C2411yescharacteristic
612C4⋊C4×C73C2411yescharacteristic
613C4⋊C4×C73C2411yescharacteristic
614C4⋊C4×C73C2411yescharacteristic
615C4⋊C4×C73C2411yescharacteristic
616C4⋊C4×C73C2411yescharacteristic
617C4⋊C4×C73C2411yescharacteristic
618C4⋊C4×C73C2411yescharacteristic
619C22⋊C4×C73—21no—
620C22⋊C4×C73—21no—
621C22⋊C4×C73—21no—
622C22⋊C4×C73—21no—
623C22⋊C4×C73—21no—
624C22⋊C4×C73—21no—
625C22⋊C4×C73—21no—
626C22⋊C4×C73—21no—
627C22⋊C4×C73—21no—
628C22⋊C4×C73—21no—
629C22⋊C4×C73—21no—
630C22⋊C4×C73—21no—
631C22⋊C4×C73—21no—
632C22⋊C4×C73—21no—
633C22⋊C4×C73—21no—
634C22⋊C4×C73—21no—
635C22⋊C4×C73—21no—
636C22⋊C4×C73—21no—
637C22⋊C4×C73—21no—
638C22⋊C4×C73—21no—
639C22⋊C4×C73—21no—
640C22⋊C4×C73—21no—
641C22⋊C4×C73—21no—
642C22⋊C4×C73—21no—
643C22⋊C4×C73—21no—
644C22⋊C4×C73—21no—
645C22⋊C4×C73—21no—
646C22⋊C4×C73—21no—
647C22⋊C4×C73—21no—
648C22⋊C4×C73—21no—
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73C2×D411yescharacteristic
654C22⋊C4×C73C2×D411yescharacteristic
655C22⋊C4×C73C2×D411yescharacteristic
656C22⋊C4×C73C2×D411yescharacteristic
657C22⋊C4×C73C2×D411yescharacteristic
658C22⋊C4×C73C2×D411yescharacteristic
659C22⋊C4×C73C2×D411yescharacteristic
660C22⋊C4×C73C2×D411yescharacteristic
661C22⋊C4×C73C2×D411yescharacteristic
662C22⋊C4×C73C2×D411yescharacteristic
663C42×C73—21no—
664C42×C73—21no—
665C42×C73—21no—
666C42×C73—21no—
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73—21no—
672C42×C73—21no—
673C42×C73C2×D411yescharacteristic
674C42×C73C2×D411yescharacteristic
675C42×C73C2411yescharacteristic
676C42×C73C2411yescharacteristic
677C42×C73C2411yescharacteristic
678C42×C73C2411yescharacteristic
679C23×C73—21no—
680C23×C73—21no—
681C23×C73—21no—
682C23×C73—21no—
683C23×C73—81no—
684C23×C73—81no—
685C23×C73—81no—
686C23×C73C22×D411yescharacteristic
687C23×C73C22×D411yescharacteristic
688C23×C73C22×D411yescharacteristic
689Q8×C73—21no—
690Q8×C73—21no—
691Q8×C73—21no—
692Q8×C73—21no—
693Q8×C73—21no—
694Q8×C73—21no—
695Q8×C73—21no—
696Q8×C73—21no—
697Q8×C73—41no—
698Q8×C73—81no—
699Q8×C73—81no—
700Q8×C73—81no—
701Q8×C73—81no—
702Q8×C73—81no—
703D4×C73—21no—
704D4×C73—21no—
705D4×C73—21no—
706D4×C73—21no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—41no—
712D4×C73—41no—
713D4×C73—41no—
714D4×C73—81no—
715D4×C73—81no—
716D4×C73—81no—
717D4×C73—81no—
718D4×C73—81no—
719D4×C73—81no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73—81no—
727D4×C73—81no—
728D4×C73—81no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—41no—
748C2×C4×C73—41no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73—81no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73—81no—
761C2×C4×C73—81no—
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C2511yescharacteristic
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777C8×C73—21no—
778C8×C73—21no—
779C8×C73—21no—
780C8×C73—21no—
781C8×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—21no—
788C22×C73—21no—
789C22×C73—21no—
790C22×C73—21no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—162no—
804C22×C73C23×D411yescharacteristic
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—21no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73—41no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73#58511yescharacteristic
829C4×C73#58511yescharacteristic
830#62555C7311yesmaximal, characteristic, direct product factor, Sylow
831C2×C73—41no—
832C2×C73—41no—
833C2×C73—41no—
834C2×C73—81no—
835C2×C73—81no—
836C2×C73—81no—
837C2×C73—81no—
838C2×C73#350011yescharacteristic
839C2×C73#358411yescharacteristic
840C2×C73#358411yescharacteristic
841#3565C2×C7311yescharacteristic, complemented
842#3562C2×C7311yescharacteristic, complemented
843#3376C2×C7311yescharacteristic, complemented
844#3371C2×C7311yescharacteristic, complemented
845#3364C2×C7311yescharacteristic, complemented
846#3361C2×C7311yescharacteristic, complemented
847#3326C2×C7311yescharacteristic, complemented
848#3323C2×C7311yescharacteristic, complemented
849#3319C2×C7311yescharacteristic, complemented
850#3315C2×C7311yescharacteristic, complemented
851#3313C2×C7311yescharacteristic, complemented
852#3309C2×C7311yescharacteristic, complemented
853#3304C2×C7311yescharacteristic, complemented
854#3303C2×C7311yescharacteristic, complemented
855#3301C2×C7311yescharacteristic, complemented
856#3300C2×C7311yescharacteristic, complemented
857#3297C2×C7311yescharacteristic, complemented
858#3296C2×C7311yescharacteristic, complemented
859#3242C2×C7311yescharacteristic, complemented
860#3241C2×C7311yescharacteristic, complemented
861#3240C2×C7311yescharacteristic, complemented
862#3225C2×C7311yescharacteristic, complemented
863#3224C2×C7311yescharacteristic, complemented
864#3219C2×C7311yescharacteristic, complemented
865#3179C2×C7311yescharacteristic, complemented
866#3178C2×C7311yescharacteristic, complemented
867#3168C2×C7311yescharacteristic, complemented
868#3137C2×C7311yescharacteristic, complemented
869#3136C2×C7311yescharacteristic, complemented
870#3131C2×C7311yescharacteristic, complemented
871#2966C2×C7311yescharacteristic, complemented
872C73#6255511yescharacteristic, direct product factor, Sylow
873#563—21no—
874#562—21no—
875#562—21no—
876#560—21no—
877#559C22×C7311yescharacteristic
878#557C22×C7311yescharacteristic, complemented
879#556—21no—
880#556C22×C7311yescharacteristic
881#556C22×C7311yescharacteristic, complemented
882#555C22×C7311yescharacteristic
883#554C22×C7311yescharacteristic, complemented
884#553—21no—
885#553C22×C7311yescharacteristic
886#553C22×C7311yescharacteristic, complemented
887#552—21no—
888#552C22×C7311yescharacteristic
889#552C22×C7311yescharacteristic
890#551—21no—
891#550C22×C7311yescharacteristic
892#548C22×C7311yescharacteristic
893#548C22×C7311yescharacteristic
894#547C22×C7311yescharacteristic
895#546C22×C7311yescharacteristic
896#546C22×C7311yescharacteristic
897#544C22×C7311yescharacteristic
898#544C22×C7311yescharacteristic, complemented
899#542—21no—
900#542—21no—
901#542C22×C7311yescharacteristic
902#542C22×C7311yescharacteristic, complemented
903#541—21no—
904#541C22×C7311yescharacteristic
905#540—21no—
906#540C22×C7311yescharacteristic
907#539—21no—
908#539—21no—
909#538—21no—
910#538—21no—
911#536C22×C7311yescharacteristic
912#535C22×C7311yescharacteristic
913#533C22×C7311yescharacteristic, complemented
914#532C22×C7311yescharacteristic
915#529C22×C7311yescharacteristic
916#529C22×C7311yescharacteristic
917#529C22×C7311yescharacteristic, complemented
918#501C22×C7311yescharacteristic, complemented
919#501C22×C7311yescharacteristic, complemented
920#499C22×C7311yescharacteristic, complemented
921#497C22×C7311yescharacteristic, complemented
922#496C22×C7311yescharacteristic
923#495C22×C7311yescharacteristic
924#491C22×C7311yescharacteristic, complemented
925#491C22×C7311yescharacteristic, complemented
926#490C22×C7311yescharacteristic
927#490C22×C7311yescharacteristic
928#489C22×C7311yescharacteristic
929#489C22×C7311yescharacteristic
930#489C22×C7311yescharacteristic
931#489C22×C7311yescharacteristic
932#488C22×C7311yescharacteristic
933#488C22×C7311yescharacteristic
934#488C22×C7311yescharacteristic
935#488C22×C7311yescharacteristic
936#488C22×C7311yescharacteristic
937#488C22×C7311yescharacteristic, complemented
938#488C22×C7311yescharacteristic, complemented
939#488C22×C7311yescharacteristic, complemented
940#487C22×C7311yescharacteristic, complemented
941#487C22×C7311yescharacteristic, complemented
942#487C22×C7311yescharacteristic, complemented
943#486C22×C7311yescharacteristic
944#486C22×C7311yescharacteristic
945#486C22×C7311yescharacteristic
946#485C22×C7311yescharacteristic
947#485C22×C7311yescharacteristic
948#485C22×C7311yescharacteristic, complemented
949#485C22×C7311yescharacteristic, complemented
950#484C22×C7311yescharacteristic
951#483C22×C7311yescharacteristic
952#482C22×C7311yescharacteristic
953#482C22×C7311yescharacteristic
954#482C22×C7311yescharacteristic
955#482C22×C7311yescharacteristic, complemented
956#481C22×C7311yescharacteristic
957#480C22×C7311yescharacteristic, complemented
958#479C22×C7311yescharacteristic, complemented
959#479C22×C7311yescharacteristic, complemented
960#479C22×C7311yescharacteristic, complemented
961#479C22×C7311yescharacteristic, complemented
962#478C22×C7311yescharacteristic
963#478C22×C7311yescharacteristic
964#478C22×C7311yescharacteristic
965#478C22×C7311yescharacteristic, complemented
966#477C22×C7311yescharacteristic, complemented
967#476C22×C7311yescharacteristic, complemented
968#475C22×C7311yescharacteristic, complemented
969#474C22×C7311yescharacteristic
970#470C22×C7311yescharacteristic
971#469C22×C7311yescharacteristic, complemented
972#468C22×C7311yescharacteristic
973#468C22×C7311yescharacteristic
974#467C22×C7311yescharacteristic
975#467C22×C7311yescharacteristic, complemented
976#466C22×C7311yescharacteristic
977#466C22×C7311yescharacteristic
978#465C22×C7311yescharacteristic
979#465C22×C7311yescharacteristic
980#465C22×C7311yescharacteristic, complemented
981#465C22×C7311yescharacteristic, complemented
982#464C22×C7311yescharacteristic
983#464C22×C7311yescharacteristic
984#464C22×C7311yescharacteristic
985#464C22×C7311yescharacteristic, complemented
986#463C22×C7311yescharacteristic
987#463C22×C7311yescharacteristic
988#463C22×C7311yescharacteristic
989#463C22×C7311yescharacteristic, complemented
990#462C22×C7311yescharacteristic, complemented
991#461C22×C7311yescharacteristic, complemented
992#460C22×C7311yescharacteristic
993#459C22×C7311yescharacteristic
994#452C22×C7311yescharacteristic
995#452C22×C7311yescharacteristic
996#452C22×C7311yescharacteristic
997#452C22×C7311yescharacteristic, complemented
998#451C22×C7311yescharacteristic, complemented
999#450C22×C7311yescharacteristic
1000#449C22×C7311yescharacteristic
1001#449C22×C7311yescharacteristic
1002#449C22×C7311yescharacteristic
1003#449C22×C7311yescharacteristic, complemented
1004#448C22×C7311yescharacteristic, complemented
1005#447C22×C7311yescharacteristic
1006#446C22×C7311yescharacteristic, complemented
1007C8×Q8C22×C7311yescharacteristic, complemented
1008#442C22×C7311yescharacteristic
1009#441C22×C7311yescharacteristic, complemented
1010#440C22×C7311yescharacteristic, complemented
1011#440C22×C7311yescharacteristic, complemented
1012C4×Q16C22×C7311yescharacteristic, complemented
1013C4×Q16C22×C7311yescharacteristic, complemented
1014C4×SD16C22×C7311yescharacteristic
1015C4×SD16C22×C7311yescharacteristic
1016C4×SD16C22×C7311yescharacteristic, complemented
1017C4×SD16C22×C7311yescharacteristic, complemented
1018C4×D8C22×C7311yescharacteristic
1019C4×D8C22×C7311yescharacteristic, complemented
1020#436C22×C7311yescharacteristic
1021#435C22×C7311yescharacteristic
1022#435C22×C7311yescharacteristic, complemented
1023C8×D4C22×C7311yescharacteristic
1024C8×D4C22×C7311yescharacteristic
1025C8×D4C22×C7311yescharacteristic, complemented
1026#433C22×C7311yescharacteristic
1027#433C22×C7311yescharacteristic, complemented
1028#432C22×C7311yescharacteristic, complemented
1029#419C22×C7311yescharacteristic, complemented
1030#418C22×C7311yescharacteristic
1031#417C22×C7311yescharacteristic
1032#417C22×C7311yescharacteristic
1033#416C22×C7311yescharacteristic
1034#416C22×C7311yescharacteristic
1035#416C22×C7311yescharacteristic
1036#416C22×C7311yescharacteristic
1037#416C22×C7311yescharacteristic, complemented
1038#416C22×C7311yescharacteristic, complemented
1039C2×#103C22×C7311yescharacteristic, complemented
1040C2×#102C22×C7311yescharacteristic
1041#405C22×C7311yescharacteristic
1042#405C22×C7311yescharacteristic, complemented
1043C2×C4×C8C22×C7311yescharacteristic, complemented
1044C2×#41C23×C7311yescharacteristic
1045C2×#41C23×C7311yescharacteristic
1046C2×#41C23×C7311yescharacteristic
1047C2×#41C23×C7311yescharacteristic
1048C22×Q8C23×C7311yescharacteristic
1049C22×D4C23×C7311yescharacteristic
1050C2×Q16C23×C7311yescharacteristic
1051C2×Q16C23×C7311yescharacteristic
1052C2×Q16C23×C7311yescharacteristic
1053C2×SD16C23×C7311yescharacteristic
1054C2×SD16C23×C7311yescharacteristic
1055C2×SD16C23×C7311yescharacteristic
1056C2×SD16C23×C7311yescharacteristic
1057C2×SD16C23×C7311yescharacteristic
1058C2×SD16C23×C7311yescharacteristic
1059C2×D8C23×C7311yescharacteristic
1060C2×D8C23×C7311yescharacteristic
1061C2×D8C23×C7311yescharacteristic
1062C2×M16C23×C7311yescharacteristic
1063C2×M16C23×C7311yescharacteristic
1064C22×C8C23×C7311yescharacteristic
1065C22×C8C23×C7311yescharacteristic
1066C22×C8C23×C7311yescharacteristic
1067C22×C8C23×C7311yescharacteristic
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8C23×C7311yescharacteristic
1072C4⋊Q8C23×C7311yescharacteristic
1073C4⋊Q8C23×C7311yescharacteristic
1074C4⋊Q8C23×C7311yescharacteristic
1075C4⋊Q8C23×C7311yescharacteristic
1076C4⋊Q8C23×C7311yescharacteristic
1077#127—21no—
1078#127C23×C7311yescharacteristic
1079#127C23×C7311yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126D4×C7311yescharacteristic
1095#126D4×C7311yescharacteristic
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125—21no—
1104#125D4×C7311yescharacteristic
1105#125C23×C7311yescharacteristic
1106#125C23×C7311yescharacteristic
1107#125C23×C7311yescharacteristic
1108#125C23×C7311yescharacteristic
1109#125C23×C7311yescharacteristic
1110#125C23×C7311yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124D4×C7311yescharacteristic
1120#124C23×C7311yescharacteristic
1121#124C23×C7311yescharacteristic
1122#124C23×C7311yescharacteristic
1123#124C23×C7311yescharacteristic
1124#124C23×C7311yescharacteristic
1125#124C23×C7311yescharacteristic
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123D4×C7311yescharacteristic
1145#123D4×C7311yescharacteristic
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8D4×C7311yescharacteristic
1163C22⋊Q8C23×C7311yescharacteristic
1164C22⋊Q8C23×C7311yescharacteristic
1165C22⋊Q8C23×C7311yescharacteristic
1166C22⋊Q8C23×C7311yescharacteristic
1167C22⋊Q8C23×C7311yescharacteristic
1168C22⋊Q8C23×C7311yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121D4×C7311yescharacteristic
1186#121C23×C7311yescharacteristic
1187#121C23×C7311yescharacteristic
1188#121C23×C7311yescharacteristic
1189#121C23×C7311yescharacteristic
1190#121C23×C7311yescharacteristic
1191#121C23×C7311yescharacteristic
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—21no—
1200C4×Q8C23×C7311yescharacteristic
1201C4×Q8C23×C7311yescharacteristic
1202C4×Q8C23×C7311yescharacteristic
1203C4×Q8C23×C7311yescharacteristic
1204C4×Q8C23×C7311yescharacteristic
1205C4×Q8C23×C7311yescharacteristic
1206C4×Q8C23×C7311yescharacteristic
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4C23×C7311yescharacteristic
1218C4×D4C23×C7311yescharacteristic
1219C4×D4C23×C7311yescharacteristic
1220C4×D4C23×C7311yescharacteristic
1221C4×D4C23×C7311yescharacteristic
1222C4×D4C23×C7311yescharacteristic
1223C4×D4C23×C7311yescharacteristic
1224C4×D4C23×C7311yescharacteristic
1225C4×D4C23×C7311yescharacteristic
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117C23×C7311yescharacteristic
1233#117C23×C7311yescharacteristic
1234#117C23×C7311yescharacteristic
1235#117C23×C7311yescharacteristic
1236#117C23×C7311yescharacteristic
1237#117C23×C7311yescharacteristic
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4C23×C7311yescharacteristic
1241C2×C4⋊C4C23×C7311yescharacteristic
1242C2×C22⋊C4—21no—
1243C2×C22⋊C4—21no—
1244C2×C42C23×C7311yescharacteristic
1245#107C23×C7311yescharacteristic
1246#107C23×C7311yescharacteristic
1247#107C23×C7311yescharacteristic
1248#107C23×C7311yescharacteristic
1249#107C23×C7311yescharacteristic
1250#107C23×C7311yescharacteristic
1251#106C23×C7311yescharacteristic
1252#106C23×C7311yescharacteristic
1253#106C23×C7311yescharacteristic
1254#106C23×C7311yescharacteristic
1255#106C23×C7311yescharacteristic
1256#106C23×C7311yescharacteristic
1257C4⋊C8C23×C7311yescharacteristic
1258C4⋊C8C23×C7311yescharacteristic
1259C4⋊C8C23×C7311yescharacteristic
1260C4⋊C8C23×C7311yescharacteristic
1261C4⋊C8C23×C7311yescharacteristic
1262C4⋊C8C23×C7311yescharacteristic
1263#103C23×C7311yescharacteristic
1264#103C23×C7311yescharacteristic
1265#103C23×C7311yescharacteristic
1266#103C23×C7311yescharacteristic
1267#103C23×C7311yescharacteristic
1268#103C23×C7311yescharacteristic
1269#103C23×C7311yescharacteristic
1270#103C23×C7311yescharacteristic
1271#103C23×C7311yescharacteristic
1272#103C23×C7311yescharacteristic
1273#103C23×C7311yescharacteristic
1274#103C23×C7311yescharacteristic
1275#103C23×C7311yescharacteristic
1276#103C23×C7311yescharacteristic
1277#103C23×C7311yescharacteristic
1278#103C23×C7311yescharacteristic
1279#103C23×C7311yescharacteristic
1280#103C23×C7311yescharacteristic
1281#103C23×C7311yescharacteristic
1282#103C23×C7311yescharacteristic
1283#102C23×C7311yescharacteristic
1284#102C23×C7311yescharacteristic
1285#102C23×C7311yescharacteristic
1286#102C23×C7311yescharacteristic
1287#102C23×C7311yescharacteristic
1288#102C23×C7311yescharacteristic
1289#102C23×C7311yescharacteristic
1290#102C23×C7311yescharacteristic
1291#102C23×C7311yescharacteristic
1292#102C23×C7311yescharacteristic
1293#102C23×C7311yescharacteristic
1294#102C23×C7311yescharacteristic
1295#102C23×C7311yescharacteristic
1296#102C23×C7311yescharacteristic
1297#102C23×C7311yescharacteristic
1298#102C23×C7311yescharacteristic
1299#102C23×C7311yescharacteristic
1300#102C23×C7311yescharacteristic
1301#102C23×C7311yescharacteristic
1302#102C23×C7311yescharacteristic
1303C22⋊C8C23×C7311yescharacteristic
1304C22⋊C8C23×C7311yescharacteristic
1305C22⋊C8C23×C7311yescharacteristic
1306C22⋊C8C23×C7311yescharacteristic
1307C22⋊C8C23×C7311yescharacteristic
1308C22⋊C8C23×C7311yescharacteristic
1309#97C23×C7311yescharacteristic
1310#97C23×C7311yescharacteristic
1311#97C23×C7311yescharacteristic
1312#97C23×C7311yescharacteristic
1313C4×C8C23×C7311yescharacteristic
1314C4×C8C23×C7311yescharacteristic
1315C4×C8C23×C7311yescharacteristic
1316C4×C8C23×C7311yescharacteristic
1317C4×C8C23×C7311yescharacteristic
1318C4×C8C23×C7311yescharacteristic
1319C24—21no—
1320#41—41no—
1321#41—41no—
1322#41—41no—
1323#41—41no—
1324#41—41no—
1325#41—41no—
1326#41—41no—
1327#41—41no—
1328C2×Q8—21no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8C2×D4×C7311yescharacteristic
1336C2×Q8C24×C7311yescharacteristic
1337C2×Q8C24×C7311yescharacteristic
1338C2×Q8C24×C7311yescharacteristic
1339C2×Q8C24×C7311yescharacteristic
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4C2×D4×C7311yescharacteristic
1358C2×D4C2×D4×C7311yescharacteristic
1359C2×D4C2×D4×C7311yescharacteristic
1360C2×D4C24×C7311yescharacteristic
1361C2×D4C24×C7311yescharacteristic
1362C2×D4C24×C7311yescharacteristic
1363C2×D4C24×C7311yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4C2×D4×C7311yescharacteristic
1378C22×C4C2×D4×C7311yescharacteristic
1379C22×C4C24×C7311yescharacteristic
1380C22×C4C24×C7311yescharacteristic
1381C22×C4C24×C7311yescharacteristic
1382Q16—41no—
1383Q16—41no—
1384Q16—41no—
1385SD16—41no—
1386SD16—41no—
1387SD16—41no—
1388SD16—41no—
1389SD16—41no—
1390SD16—41no—
1391D8—41no—
1392D8—41no—
1393D8—41no—
1394M16—41no—
1395M16—41no—
1396C2×C8—41no—
1397C2×C8—41no—
1398C2×C8—41no—
1399C2×C8—41no—
1400C2×C8C24×C7311yescharacteristic
1401C2×C8C24×C7311yescharacteristic
1402C2×C8C24×C7311yescharacteristic
1403C2×C8C24×C7311yescharacteristic
1404C2×C8C24×C7311yescharacteristic
1405C2×C8C24×C7311yescharacteristic
1406C2×C8C24×C7311yescharacteristic
1407C2×C8C24×C7311yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4C2×D4×C7311yescharacteristic
1443C4⋊C4C2×D4×C7311yescharacteristic
1444C4⋊C4C2×D4×C7311yescharacteristic
1445C4⋊C4C2×D4×C7311yescharacteristic
1446C4⋊C4C2×D4×C7311yescharacteristic
1447C4⋊C4C2×D4×C7311yescharacteristic
1448C4⋊C4C2×D4×C7311yescharacteristic
1449C4⋊C4C2×D4×C7311yescharacteristic
1450C4⋊C4C2×D4×C7311yescharacteristic
1451C4⋊C4C2×D4×C7311yescharacteristic
1452C4⋊C4C24×C7311yescharacteristic
1453C4⋊C4C24×C7311yescharacteristic
1454C4⋊C4C24×C7311yescharacteristic
1455C4⋊C4C24×C7311yescharacteristic
1456C4⋊C4C24×C7311yescharacteristic
1457C4⋊C4C24×C7311yescharacteristic
1458C4⋊C4C24×C7311yescharacteristic
1459C4⋊C4C24×C7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
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—21no—
1494C22⋊C4C2×D4×C7311yescharacteristic
1495C22⋊C4C2×D4×C7311yescharacteristic
1496C22⋊C4C2×D4×C7311yescharacteristic
1497C22⋊C4C2×D4×C7311yescharacteristic
1498C22⋊C4C2×D4×C7311yescharacteristic
1499C22⋊C4C2×D4×C7311yescharacteristic
1500C22⋊C4C2×D4×C7311yescharacteristic
1501C22⋊C4C2×D4×C7311yescharacteristic
1502C22⋊C4C2×D4×C7311yescharacteristic
1503C22⋊C4C2×D4×C7311yescharacteristic
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42C2×D4×C7311yescharacteristic
1515C42C2×D4×C7311yescharacteristic
1516C42C24×C7311yescharacteristic
1517C42C24×C7311yescharacteristic
1518C42C24×C7311yescharacteristic
1519C42C24×C7311yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—81no—
1525C23—81no—
1526C23—81no—
1527C23C22×D4×C7311yescharacteristic
1528C23C22×D4×C7311yescharacteristic
1529C23C22×D4×C7311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—41no—
1539Q8—81no—
1540Q8—81no—
1541Q8—81no—
1542Q8—81no—
1543Q8—81no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—81no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
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—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4C22×D4×C7311yescharacteristic
1604C2×C4C22×D4×C7311yescharacteristic
1605C2×C4C22×D4×C7311yescharacteristic
1606C2×C4C22×D4×C7311yescharacteristic
1607C2×C4C22×D4×C7311yescharacteristic
1608C2×C4C22×D4×C7311yescharacteristic
1609C2×C4C22×D4×C7311yescharacteristic
1610C2×C4C22×D4×C7311yescharacteristic
1611C2×C4C22×D4×C7311yescharacteristic
1612C2×C4C22×D4×C7311yescharacteristic
1613C2×C4C22×D4×C7311yescharacteristic
1614C2×C4C25×C7311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—162no—
1645C22C23×D4×C7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4#585×C7311yescharacteristic
1670C4#585×C7311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—41no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—81no—
1678C2C73×#350011yescharacteristic
1679C2C73×#358411yescharacteristic
1680C2C73×#358411yescharacteristic
subgroupG/H
center, socleC22×C73C23×D4
commutator, Frattini, cosocleC2×C4C25×C73
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ #529×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3565C2semidirect
2. C73×#3562C2semidirect
3. C73×#3376C2semidirect
4. C73×#3371C2semidirect
5. C73×#3364C2semidirect
6. C73×#3361C2semidirect
7. C73×#3326C2semidirect
8. C73×#3323C2semidirect
9. C73×#3319C2semidirect
10. C73×#3315C2semidirect
11. C73×#3313C2semidirect
12. C73×#3309C2semidirect
13. C73×#3304C2semidirect
14. C73×#3303C2semidirect
15. C73×#3301C2semidirect
16. C73×#3300C2semidirect
17. C73×#3297C2semidirect
18. C73×#3296C2semidirect
19. C73×#3242C2semidirect
20. C73×#3241C2semidirect
21. C73×#3240C2semidirect
22. C73×#3225C2semidirect
23. C73×#3224C2semidirect
24. C73×#3219C2semidirect
25. C73×#3179C2semidirect
26. C73×#3178C2semidirect
27. C73×#3168C2semidirect
28. C73×#3137C2semidirect
29. C73×#3136C2semidirect
30. C73×#3131C2semidirect
31. C73×#2966C2semidirect
37. #557×C73C22semidirect
40. #556×C73C22semidirect
42. #554×C73C22semidirect
45. #553×C73C22semidirect
57. #544×C73C22semidirect
61. #542×C73C22semidirect
72. #533×C73C22semidirect
76. #529×C73C22semidirect
77. #501×C73C22semidirect
78. #501×C73C22semidirect
79. #499×C73C22semidirect
80. #497×C73C22semidirect
83. #491×C73C22semidirect
84. #491×C73C22semidirect
96. #488×C73C22semidirect
97. #488×C73C22semidirect
98. #488×C73C22semidirect
99. #487×C73C22semidirect
100. #487×C73C22semidirect
101. #487×C73C22semidirect
107. #485×C73C22semidirect
108. #485×C73C22semidirect
114. #482×C73C22semidirect
116. #480×C73C22semidirect
117. #479×C73C22semidirect
118. #479×C73C22semidirect
119. #479×C73C22semidirect
120. #479×C73C22semidirect
124. #478×C73C22semidirect
125. #477×C73C22semidirect
126. #476×C73C22semidirect
127. #475×C73C22semidirect
130. #469×C73C22semidirect
134. #467×C73C22semidirect
139. #465×C73C22semidirect
140. #465×C73C22semidirect
144. #464×C73C22semidirect
148. #463×C73C22semidirect
149. #462×C73C22semidirect
150. #461×C73C22semidirect
156. #452×C73C22semidirect
157. #451×C73C22semidirect
162. #449×C73C22semidirect
163. #448×C73C22semidirect
165. #446×C73C22semidirect
166. C8×Q8×C73C22semidirect
168. #441×C73C22semidirect
169. #440×C73C22semidirect
170. #440×C73C22semidirect
171. C4×Q16×C73C22semidirect
172. C4×Q16×C73C22semidirect
175. C4×SD16×C73C22semidirect
176. C4×SD16×C73C22semidirect
178. C4×D8×C73C22semidirect
181. #435×C73C22semidirect
184. C8×D4×C73C22semidirect
186. #433×C73C22semidirect
187. #432×C73C22semidirect
188. #419×C73C22semidirect
196. #416×C73C22semidirect
197. #416×C73C22semidirect
198. C2×#103×C73C22semidirect
201. #405×C73C22semidirect
202. C2×C4×C8×C73C22semidirect
830. #62555C73direct (N × H)
841. #3565C2×C73semidirect
842. #3562C2×C73semidirect
843. #3376C2×C73semidirect
844. #3371C2×C73semidirect
845. #3364C2×C73semidirect
846. #3361C2×C73semidirect
847. #3326C2×C73semidirect
848. #3323C2×C73semidirect
849. #3319C2×C73semidirect
850. #3315C2×C73semidirect
851. #3313C2×C73semidirect
852. #3309C2×C73semidirect
853. #3304C2×C73semidirect
854. #3303C2×C73semidirect
855. #3301C2×C73semidirect
856. #3300C2×C73semidirect
857. #3297C2×C73semidirect
858. #3296C2×C73semidirect
859. #3242C2×C73semidirect
860. #3241C2×C73semidirect
861. #3240C2×C73semidirect
862. #3225C2×C73semidirect
863. #3224C2×C73semidirect
864. #3219C2×C73semidirect
865. #3179C2×C73semidirect
866. #3178C2×C73semidirect
867. #3168C2×C73semidirect
868. #3137C2×C73semidirect
869. #3136C2×C73semidirect
870. #3131C2×C73semidirect
871. #2966C2×C73semidirect
872. C73#62555direct (N × H)
878. #557C22×C73semidirect
881. #556C22×C73semidirect
883. #554C22×C73semidirect
886. #553C22×C73semidirect
898. #544C22×C73semidirect
902. #542C22×C73semidirect
913. #533C22×C73semidirect
917. #529C22×C73semidirect
918. #501C22×C73semidirect
919. #501C22×C73semidirect
920. #499C22×C73semidirect
921. #497C22×C73semidirect
924. #491C22×C73semidirect
925. #491C22×C73semidirect
937. #488C22×C73semidirect
938. #488C22×C73semidirect
939. #488C22×C73semidirect
940. #487C22×C73semidirect
941. #487C22×C73semidirect
942. #487C22×C73semidirect
948. #485C22×C73semidirect
949. #485C22×C73semidirect
955. #482C22×C73semidirect
957. #480C22×C73semidirect
958. #479C22×C73semidirect
959. #479C22×C73semidirect
960. #479C22×C73semidirect
961. #479C22×C73semidirect
965. #478C22×C73semidirect
966. #477C22×C73semidirect
967. #476C22×C73semidirect
968. #475C22×C73semidirect
971. #469C22×C73semidirect
975. #467C22×C73semidirect
980. #465C22×C73semidirect
981. #465C22×C73semidirect
985. #464C22×C73semidirect
989. #463C22×C73semidirect
990. #462C22×C73semidirect
991. #461C22×C73semidirect
997. #452C22×C73semidirect
998. #451C22×C73semidirect
1003. #449C22×C73semidirect
1004. #448C22×C73semidirect
1006. #446C22×C73semidirect
1007. C8×Q8C22×C73semidirect
1009. #441C22×C73semidirect
1010. #440C22×C73semidirect
1011. #440C22×C73semidirect
1012. C4×Q16C22×C73semidirect
1013. C4×Q16C22×C73semidirect
1016. C4×SD16C22×C73semidirect
1017. C4×SD16C22×C73semidirect
1019. C4×D8C22×C73semidirect
1022. #435C22×C73semidirect
1025. C8×D4C22×C73semidirect
1027. #433C22×C73semidirect
1028. #432C22×C73semidirect
1029. #419C22×C73semidirect
1037. #416C22×C73semidirect
1038. #416C22×C73semidirect
1039. C2×#103C22×C73semidirect
1042. #405C22×C73semidirect
1043. C2×C4×C8C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35652
C73×#35622
C73×#33762
C73×#33712
C73×#33642
C73×#33612
C73×#33262
C73×#33232
C73×#33192
C73×#33152
C73×#33132
C73×#33092
C73×#33042
C73×#33032
C73×#33012
C73×#33002
C73×#32972
C73×#32962
C73×#32422
C73×#32412
C73×#32402
C73×#32252
C73×#32242
C73×#32192
C73×#31792
C73×#31782
C73×#31682
C73×#31372
C73×#31362
C73×#31312
C73×#29662
#6255573