Finite Group Databasebeta

← C73×#61456 #32970860

Subgroups — C73×#61456 #32970860

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3481C211yesmaximal, characteristic, complemented
2C73×#3480C211yesmaximal, characteristic, complemented
3C73×#3403C211yesmaximal, characteristic, complemented
4C73×#3388C211yesmaximal, characteristic, complemented
5C73×#3371C211yesmaximal, characteristic, complemented
6C73×#3370C211yesmaximal, characteristic, complemented
7C73×#3350C211yesmaximal, characteristic, complemented
8C73×#3346C211yesmaximal, characteristic, complemented
9C73×#3339C211yesmaximal, characteristic, complemented
10C73×#3318C211yesmaximal, characteristic, complemented
11C73×#3316C211yesmaximal, characteristic, complemented
12C73×#3311C211yesmaximal, characteristic, complemented
13C73×#3309C211yesmaximal, characteristic, complemented
14C73×#3301C211yesmaximal, characteristic, complemented
15C73×#3297C211yesmaximal, characteristic, complemented
16C73×#3282C211yesmaximal, characteristic, complemented
17C73×#3268C211yesmaximal, characteristic, complemented
18C73×#3265C211yesmaximal, characteristic, complemented
19C73×#3183C211yesmaximal, characteristic, complemented
20C73×#3180C211yesmaximal, characteristic, complemented
21C73×#3180C211yesmaximal, characteristic, complemented
22C73×#3117C211yesmaximal, characteristic, complemented
23C73×#3115C211yesmaximal, characteristic, complemented
24C73×#3114C211yesmaximal, characteristic, complemented
25C73×#3111C211yesmaximal, characteristic, complemented
26C73×#3111C211yesmaximal, characteristic, complemented
27C73×#3109C211yesmaximal, characteristic, complemented
28C73×#2970C211yesmaximal, characteristic, complemented
29C4×AGL(1,ℤ/8)×C73C211yesmaximal, characteristic, complemented
30C73×#2943C211yesmaximal, characteristic, complemented
31C2×#440×C73C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
33C2×#135×C73C2211yescharacteristic
34C22×SD16×C73C2211yescharacteristic
35#559×C73—21no—
36#559×C73C2211yescharacteristic
37#559×C73C2211yescharacteristic, complemented
38#557×C73C2211yescharacteristic, complemented
39#556×C73—21no—
40#556×C73C2211yescharacteristic, complemented
41#554×C73C2211yescharacteristic
42#554×C73C2211yescharacteristic
43#553×C73—21no—
44#553×C73—21no—
45#553×C73—21no—
46#553×C73C2211yescharacteristic
47#553×C73C2211yescharacteristic
48#553×C73C2211yescharacteristic
49#553×C73C2211yescharacteristic, complemented
50#551×C73—21no—
51#551×C73—21no—
52#550×C73C2211yescharacteristic, complemented
53#548×C73C2211yescharacteristic
54#548×C73C2211yescharacteristic, complemented
55#546×C73—21no—
56#546×C73C2211yescharacteristic
57#546×C73C2211yescharacteristic
58D42×C73C2211yescharacteristic
59#532×C73—21no—
60#532×C73C2211yescharacteristic
61#532×C73C2211yescharacteristic, complemented
62#529×C73—21no—
63#529×C73—21no—
64#529×C73—21no—
65#529×C73C2211yescharacteristic
66#529×C73C2211yescharacteristic
67#529×C73C2211yescharacteristic, complemented
68#529×C73C2211yescharacteristic, complemented
69#525×C73—21no—
70#525×C73—21no—
71C4×#41×C73—21no—
72C4×#41×C73C2211yescharacteristic
73C4×#41×C73C2211yescharacteristic
74C4×#41×C73C2211yescharacteristic, complemented
75C4×#41×C73C2211yescharacteristic, complemented
76C2×C4×Q8×C73C2211yescharacteristic, complemented
77C2×C4×D4×C73—21no—
78C2×C4×D4×C73C2211yescharacteristic
79C2×C4×D4×C73C2211yescharacteristic
80#501×C73C2211yescharacteristic, complemented
81#501×C73C2211yescharacteristic, complemented
82#499×C73C2211yescharacteristic, complemented
83#496×C73C2211yescharacteristic
84#496×C73C2211yescharacteristic, complemented
85#495×C73C2211yescharacteristic, complemented
86#490×C73C2211yescharacteristic
87#490×C73C2211yescharacteristic, complemented
88#489×C73C2211yescharacteristic, complemented
89#489×C73C2211yescharacteristic, complemented
90#488×C73C2211yescharacteristic, complemented
91#488×C73C2211yescharacteristic, complemented
92#485×C73C2211yescharacteristic, complemented
93#485×C73C2211yescharacteristic, complemented
94#484×C73C2211yescharacteristic, complemented
95#483×C73C2211yescharacteristic, complemented
96#482×C73C2211yescharacteristic
97#482×C73C2211yescharacteristic, complemented
98#482×C73C2211yescharacteristic, complemented
99#482×C73C2211yescharacteristic, complemented
100#481×C73C2211yescharacteristic
101#481×C73C2211yescharacteristic, complemented
102#481×C73C2211yescharacteristic, complemented
103#480×C73C2211yescharacteristic, complemented
104#479×C73C2211yescharacteristic, complemented
105#479×C73C2211yescharacteristic, complemented
106#479×C73C2211yescharacteristic, complemented
107#479×C73C2211yescharacteristic, complemented
108#478×C73C2211yescharacteristic
109#478×C73C2211yescharacteristic
110#478×C73C2211yescharacteristic, complemented
111#478×C73C2211yescharacteristic, complemented
112#476×C73C2211yescharacteristic
113#476×C73C2211yescharacteristic, complemented
114#475×C73C2211yescharacteristic, complemented
115#474×C73C2211yescharacteristic, complemented
116#470×C73C2211yescharacteristic, complemented
117#469×C73C2211yescharacteristic
118#468×C73C2211yescharacteristic
119#468×C73C2211yescharacteristic, complemented
120#466×C73C2211yescharacteristic
121#466×C73C2211yescharacteristic
122#466×C73C2211yescharacteristic, complemented
123#466×C73C2211yescharacteristic, complemented
124#465×C73C2211yescharacteristic, complemented
125#465×C73C2211yescharacteristic, complemented
126#465×C73C2211yescharacteristic, complemented
127#465×C73C2211yescharacteristic, complemented
128#464×C73C2211yescharacteristic, complemented
129#464×C73C2211yescharacteristic, complemented
130#464×C73C2211yescharacteristic, complemented
131#464×C73C2211yescharacteristic, complemented
132#463×C73C2211yescharacteristic
133#463×C73C2211yescharacteristic
134#463×C73C2211yescharacteristic, complemented
135#463×C73C2211yescharacteristic, complemented
136#460×C73C2211yescharacteristic
137#459×C73C2211yescharacteristic
138#459×C73C2211yescharacteristic
139#459×C73C2211yescharacteristic, complemented
140#452×C73C2211yescharacteristic
141#452×C73C2211yescharacteristic, complemented
142#451×C73C2211yescharacteristic, complemented
143#450×C73C2211yescharacteristic
144#449×C73C2211yescharacteristic
145#449×C73C2211yescharacteristic
146#449×C73C2211yescharacteristic, complemented
147#449×C73C2211yescharacteristic, complemented
148#448×C73C2211yescharacteristic
149#447×C73C2211yescharacteristic
150#447×C73C2211yescharacteristic
151#447×C73C2211yescharacteristic
152#446×C73C2211yescharacteristic, complemented
153#446×C73C2211yescharacteristic, complemented
154#442×C73C2211yescharacteristic
155#442×C73C2211yescharacteristic
156#442×C73C2211yescharacteristic
157#442×C73C2211yescharacteristic, complemented
158#442×C73C2211yescharacteristic, complemented
159#442×C73C2211yescharacteristic, complemented
160#442×C73C2211yescharacteristic, complemented
161#441×C73C2211yescharacteristic, complemented
162#441×C73C2211yescharacteristic, complemented
163#441×C73C2211yescharacteristic, complemented
164#440×C73C2211yescharacteristic
165#440×C73C2211yescharacteristic
166#440×C73C2211yescharacteristic
167#440×C73C2211yescharacteristic
168#440×C73C2211yescharacteristic
169#440×C73C2211yescharacteristic, complemented
170#440×C73C2211yescharacteristic, complemented
171#440×C73C2211yescharacteristic, complemented
172#440×C73C2211yescharacteristic, complemented
173#440×C73C2211yescharacteristic, complemented
174#440×C73C2211yescharacteristic, complemented
175#440×C73C2211yescharacteristic, complemented
176#440×C73C2211yescharacteristic, complemented
177#440×C73C2211yescharacteristic, complemented
178C4×SD16×C73C2211yescharacteristic
179C4×SD16×C73C2211yescharacteristic, complemented
180C4×D8×C73C2211yescharacteristic
181C4×D8×C73C2211yescharacteristic, complemented
182#435×C73C2211yescharacteristic
183#435×C73C2211yescharacteristic
184#435×C73C2211yescharacteristic, complemented
185#435×C73C2211yescharacteristic, complemented
186C8×D4×C73C2211yescharacteristic, complemented
187C8×D4×C73C2211yescharacteristic, complemented
188#432×C73C2211yescharacteristic, complemented
189#432×C73C2211yescharacteristic, complemented
190#432×C73C2211yescharacteristic, complemented
191#428×C73C2211yescharacteristic, complemented
192#427×C73C2211yescharacteristic, complemented
193C2×#107×C73C2211yescharacteristic, complemented
194#418×C73C2211yescharacteristic
195#417×C73C2211yescharacteristic, complemented
196#416×C73C2211yescharacteristic
197#416×C73C2211yescharacteristic, complemented
198C2×#103×C73C2211yescharacteristic, complemented
199C2×#102×C73C2211yescharacteristic
200C4×M16×C73C2211yescharacteristic, complemented
201C2×#97×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#41×C73—21no—
204C2×#41×C73—21no—
205C2×#41×C73D411yescharacteristic
206C2×#41×C73C2311yescharacteristic
207C2×#41×C73C2311yescharacteristic
208C2×#41×C73C2311yescharacteristic
209C22×Q8×C73C2311yescharacteristic
210C22×D4×C73—21no—
211C22×D4×C73C2311yescharacteristic
212C22×D4×C73C2311yescharacteristic
213C23×C4×C73—21no—
214C23×C4×C73—21no—
215AGL(1,ℤ/8)×C73—24no—
216#135×C73—24no—
217C2×Q16×C73C2311yescharacteristic
218C2×Q16×C73C2311yescharacteristic
219C2×SD16×C73—24no—
220C2×SD16×C73C2311yescharacteristic
221C2×SD16×C73C2311yescharacteristic
222C2×SD16×C73C2311yescharacteristic
223C2×SD16×C73C2311yescharacteristic
224C2×SD16×C73C2311yescharacteristic
225C2×SD16×C73C2311yescharacteristic
226C2×SD16×C73C2311yescharacteristic
227C2×SD16×C73C2311yescharacteristic
228C2×D8×C73C2311yescharacteristic
229C2×D8×C73C2311yescharacteristic
230C2×D8×C73C2311yescharacteristic
231C2×D8×C73C2311yescharacteristic
232C2×D8×C73C2311yescharacteristic
233C2×D8×C73C2311yescharacteristic
234C2×M16×C73C2311yescharacteristic
235C2×M16×C73C2311yescharacteristic
236C22×C8×C73C2311yescharacteristic
237C22×C8×C73C2311yescharacteristic
238C22×C8×C73C2311yescharacteristic
239C22×C8×C73C2311yescharacteristic
240C4⋊Q8×C73—21no—
241C4⋊Q8×C73C2311yescharacteristic
242C4⋊Q8×C73C2311yescharacteristic
243#127×C73—21no—
244#127×C73C2311yescharacteristic
245#127×C73C2311yescharacteristic
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×C73—21no—
254#126×C73—21no—
255#126×C73—21no—
256#125×C73—21no—
257#125×C73—21no—
258#125×C73—21no—
259#125×C73C2311yescharacteristic
260#125×C73C2311yescharacteristic
261#125×C73C2311yescharacteristic
262#125×C73C2311yescharacteristic
263#124×C73—21no—
264#124×C73—21no—
265#124×C73—21no—
266#124×C73—21no—
267#124×C73—21no—
268#124×C73—21no—
269#124×C73—21no—
270#124×C73C2311yescharacteristic
271#124×C73C2311yescharacteristic
272#124×C73C2311yescharacteristic
273#124×C73C2311yescharacteristic
274#123×C73—21no—
275#123×C73—21no—
276#123×C73—21no—
277#123×C73—21no—
278#123×C73—21no—
279#123×C73—21no—
280#123×C73—21no—
281#123×C73—21no—
282#123×C73—21no—
283#123×C73—21no—
284#123×C73—21no—
285#123×C73—21no—
286#123×C73—21no—
287#123×C73—21no—
288C22⋊Q8×C73—21no—
289C22⋊Q8×C73—21no—
290C22⋊Q8×C73—21no—
291C22⋊Q8×C73—21no—
292C22⋊Q8×C73—21no—
293C22⋊Q8×C73—21no—
294C22⋊Q8×C73—21no—
295C22⋊Q8×C73C2311yescharacteristic
296C22⋊Q8×C73C2311yescharacteristic
297C22⋊Q8×C73C2311yescharacteristic
298C22⋊Q8×C73C2311yescharacteristic
299#121×C73—21no—
300#121×C73—21no—
301#121×C73—21no—
302#121×C73—21no—
303#121×C73—21no—
304#121×C73—21no—
305#121×C73—21no—
306#121×C73—21no—
307#121×C73—21no—
308#121×C73—21no—
309#121×C73—21no—
310#121×C73—21no—
311#121×C73—21no—
312#121×C73C2311yescharacteristic
313#121×C73C2311yescharacteristic
314#121×C73C2311yescharacteristic
315#121×C73C2311yescharacteristic
316#121×C73C2311yescharacteristic
317#121×C73C2311yescharacteristic
318#121×C73C2311yescharacteristic
319#121×C73C2311yescharacteristic
320#120×C73—21no—
321#120×C73—21no—
322#120×C73—21no—
323#120×C73—21no—
324C4×Q8×C73—21no—
325C4×Q8×C73—21no—
326C4×Q8×C73—21no—
327C4×Q8×C73—21no—
328C4×Q8×C73D411yescharacteristic
329C4×Q8×C73C2311yescharacteristic
330C4×Q8×C73C2311yescharacteristic
331C4×Q8×C73C2311yescharacteristic
332C4×Q8×C73C2311yescharacteristic
333C4×Q8×C73C2311yescharacteristic
334C4×Q8×C73C2311yescharacteristic
335C4×Q8×C73C2311yescharacteristic
336C4×Q8×C73C2311yescharacteristic
337C4×Q8×C73C2311yescharacteristic
338C4×D4×C73—21no—
339C4×D4×C73—21no—
340C4×D4×C73—21no—
341C4×D4×C73—21no—
342C4×D4×C73—21no—
343C4×D4×C73—21no—
344C4×D4×C73—21no—
345C4×D4×C73—21no—
346C4×D4×C73—21no—
347C4×D4×C73—21no—
348C4×D4×C73—21no—
349C4×D4×C73—21no—
350C4×D4×C73—21no—
351C4×D4×C73—21no—
352C4×D4×C73—21no—
353C4×D4×C73—21no—
354C4×D4×C73—21no—
355C4×D4×C73—21no—
356C4×D4×C73—21no—
357C4×D4×C73—21no—
358C4×D4×C73—21no—
359C4×D4×C73—21no—
360C4×D4×C73—21no—
361C4×D4×C73—21no—
362C4×D4×C73—21no—
363C4×D4×C73—21no—
364C4×D4×C73D411yescharacteristic
365C4×D4×C73D411yescharacteristic
366C4×D4×C73D411yescharacteristic
367C4×D4×C73C2311yescharacteristic
368C4×D4×C73C2311yescharacteristic
369C4×D4×C73C2311yescharacteristic
370C4×D4×C73C2311yescharacteristic
371C4×D4×C73C2311yescharacteristic
372C4×D4×C73C2311yescharacteristic
373C4×D4×C73C2311yescharacteristic
374C4×D4×C73C2311yescharacteristic
375C4×D4×C73C2311yescharacteristic
376C4×D4×C73C2311yescharacteristic
377C4×D4×C73C2311yescharacteristic
378C4×D4×C73C2311yescharacteristic
379C4×D4×C73C2311yescharacteristic
380C4×D4×C73C2311yescharacteristic
381C4×D4×C73C2311yescharacteristic
382#117×C73—21no—
383#117×C73—21no—
384#117×C73—21no—
385#117×C73—21no—
386#117×C73—21no—
387#117×C73—21no—
388#117×C73—21no—
389#117×C73D411yescharacteristic
390#117×C73D411yescharacteristic
391#117×C73D411yescharacteristic
392#117×C73C2311yescharacteristic
393#117×C73C2311yescharacteristic
394#117×C73C2311yescharacteristic
395C2×C4⋊C4×C73—21no—
396C2×C4⋊C4×C73—21no—
397C2×C4⋊C4×C73C2311yescharacteristic
398C2×C4⋊C4×C73C2311yescharacteristic
399C2×C4⋊C4×C73C2311yescharacteristic
400C2×C22⋊C4×C73—21no—
401C2×C22⋊C4×C73—21no—
402C2×C22⋊C4×C73—21no—
403C2×C22⋊C4×C73—21no—
404C2×C42×C73—21no—
405C2×C42×C73—21no—
406C2×C42×C73—21no—
407C2×C42×C73—21no—
408C2×C42×C73C2311yescharacteristic
409C2×C42×C73C2311yescharacteristic
410C2×C42×C73C2311yescharacteristic
411#107×C73C2311yescharacteristic
412#107×C73C2311yescharacteristic
413#107×C73C2311yescharacteristic
414#107×C73C2311yescharacteristic
415#107×C73C2311yescharacteristic
416#107×C73C2311yescharacteristic
417#107×C73C2311yescharacteristic
418#107×C73C2311yescharacteristic
419#106×C73C2311yescharacteristic
420#106×C73C2311yescharacteristic
421#106×C73C2311yescharacteristic
422#106×C73C2311yescharacteristic
423#106×C73C2311yescharacteristic
424#106×C73C2311yescharacteristic
425#106×C73C2311yescharacteristic
426#106×C73C2311yescharacteristic
427C4⋊C8×C73C2311yescharacteristic
428C4⋊C8×C73C2311yescharacteristic
429C4⋊C8×C73C2311yescharacteristic
430C4⋊C8×C73C2311yescharacteristic
431C4⋊C8×C73C2311yescharacteristic
432C4⋊C8×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#103×C73C2311yescharacteristic
443#103×C73C2311yescharacteristic
444#103×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
462#102×C73C2311yescharacteristic
463#102×C73C2311yescharacteristic
464#102×C73C2311yescharacteristic
465C22⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468C22⋊C8×C73C2311yescharacteristic
469C22⋊C8×C73C2311yescharacteristic
470C22⋊C8×C73C2311yescharacteristic
471#97×C73C2311yescharacteristic
472#97×C73C2311yescharacteristic
473#97×C73C2311yescharacteristic
474#97×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C24×C73—21no—
482C24×C73—21no—
483#41×C73—22no—
484#41×C73—22no—
485#41×C73—22no—
486#41×C73—42no—
487#41×C73—41no—
488#41×C73—41no—
489#41×C73—41no—
490#41×C73—44no—
491#41×C73—82no—
492C2×Q8×C73—21no—
493C2×Q8×C73—21no—
494C2×Q8×C73—21no—
495C2×Q8×C73—22no—
496C2×Q8×C73—41no—
497C2×Q8×C73C2×D411yescharacteristic
498C2×Q8×C73C2411yescharacteristic
499C2×Q8×C73C2411yescharacteristic
500C2×Q8×C73C2411yescharacteristic
501C2×D4×C73—22no—
502C2×D4×C73—22no—
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—21no—
515C2×D4×C73—21no—
516C2×D4×C73—21no—
517C2×D4×C73—21no—
518C2×D4×C73—21no—
519C2×D4×C73—21no—
520C2×D4×C73—41no—
521C2×D4×C73—41no—
522C2×D4×C73—44no—
523C2×D4×C73C2×D411yescharacteristic
524C2×D4×C73C2×D411yescharacteristic
525C2×D4×C73C2×D411yescharacteristic
526C2×D4×C73C2411yescharacteristic
527C2×D4×C73C2411yescharacteristic
528C2×D4×C73C2411yescharacteristic
529C2×D4×C73C2411yescharacteristic
530C2×D4×C73C2411yescharacteristic
531C22×C4×C73—21no—
532C22×C4×C73—21no—
533C22×C4×C73—21no—
534C22×C4×C73—21no—
535C22×C4×C73—21no—
536C22×C4×C73—21no—
537C22×C4×C73—21no—
538C22×C4×C73—21no—
539C22×C4×C73—21no—
540C22×C4×C73—21no—
541C22×C4×C73—21no—
542C22×C4×C73—21no—
543C22×C4×C73—21no—
544C22×C4×C73—21no—
545C22×C4×C73—21no—
546C22×C4×C73—21no—
547C22×C4×C73—21no—
548C22×C4×C73—21no—
549C22×C4×C73—21no—
550C22×C4×C73—82no—
551C22×C4×C73—82no—
552C22×C4×C73C2×D411yescharacteristic
553C22×C4×C73C2×D411yescharacteristic
554C22×C4×C73C2×D411yescharacteristic
555C22×C4×C73C2×D411yescharacteristic
556C22×C4×C73C2×D411yescharacteristic
557C22×C4×C73C2×D411yescharacteristic
558C22×C4×C73C2411yescharacteristic
559C22×C4×C73C2411yescharacteristic
560C22×C4×C73C2411yescharacteristic
561Q16×C73—22no—
562Q16×C73—41no—
563SD16×C73—22no—
564SD16×C73—22no—
565SD16×C73—22no—
566SD16×C73—22no—
567SD16×C73—22no—
568SD16×C73—41no—
569SD16×C73—41no—
570SD16×C73#4114yescomplemented
571D8×C73—22no—
572D8×C73—22no—
573D8×C73—22no—
574D8×C73—41no—
575D8×C73—41no—
576D8×C73—41no—
577M16×C73—22no—
578M16×C73—41no—
579C2×C8×C73—22no—
580C2×C8×C73—22no—
581C2×C8×C73—41no—
582C2×C8×C73—41no—
583C2×C8×C73C2411yescharacteristic
584C2×C8×C73C2411yescharacteristic
585C2×C8×C73C2411yescharacteristic
586C2×C8×C73C2411yescharacteristic
587C2×C8×C73C2411yescharacteristic
588C2×C8×C73C2411yescharacteristic
589C2×C8×C73C2411yescharacteristic
590C2×C8×C73C2411yescharacteristic
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×C73—21no—
602C4⋊C4×C73—21no—
603C4⋊C4×C73—21no—
604C4⋊C4×C73—21no—
605C4⋊C4×C73—21no—
606C4⋊C4×C73—21no—
607C4⋊C4×C73—21no—
608C4⋊C4×C73—21no—
609C4⋊C4×C73—21no—
610C4⋊C4×C73—21no—
611C4⋊C4×C73—21no—
612C4⋊C4×C73—21no—
613C4⋊C4×C73—21no—
614C4⋊C4×C73—21no—
615C4⋊C4×C73—21no—
616C4⋊C4×C73C2×D411yescharacteristic
617C4⋊C4×C73C2×D411yescharacteristic
618C4⋊C4×C73C2×D411yescharacteristic
619C4⋊C4×C73C2×D411yescharacteristic
620C4⋊C4×C73C2×D411yescharacteristic
621C4⋊C4×C73C2×D411yescharacteristic
622C4⋊C4×C73C2411yescharacteristic
623C4⋊C4×C73C2411yescharacteristic
624C4⋊C4×C73C2411yescharacteristic
625C4⋊C4×C73C2411yescharacteristic
626C4⋊C4×C73C2411yescharacteristic
627C4⋊C4×C73C2411yescharacteristic
628C4⋊C4×C73C2411yescharacteristic
629C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C42×C73—21no—
672C42×C73—21no—
673C42×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
681C42×C73—21no—
682C42×C73C2×D411yescharacteristic
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—42no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—42no—
701C23×C73—81no—
702C23×C73—81no—
703C23×C73C22×D411yescharacteristic
704C23×C73C22×D411yescharacteristic
705C23×C73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—41no—
712Q8×C73—42no—
713Q8×C73—42no—
714Q8×C73—81no—
715Q8×C73C2×#4112yes—
716D4×C73—22no—
717D4×C73—22no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—41no—
728D4×C73—42no—
729D4×C73—42no—
730D4×C73—42no—
731D4×C73—42no—
732D4×C73—42no—
733D4×C73—42no—
734D4×C73—42no—
735D4×C73—42no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745D4×C73C2×#4112yes—
746C2×C4×C73—22no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—41no—
765C2×C4×C73—41no—
766C2×C4×C73—41no—
767C2×C4×C73—41no—
768C2×C4×C73—41no—
769C2×C4×C73—42no—
770C2×C4×C73—42no—
771C2×C4×C73—42no—
772C2×C4×C73—42no—
773C2×C4×C73—42no—
774C2×C4×C73—42no—
775C2×C4×C73—42no—
776C2×C4×C73—42no—
777C2×C4×C73—42no—
778C2×C4×C73—42no—
779C2×C4×C73—81no—
780C2×C4×C73—81no—
781C2×C4×C73—81no—
782C2×C4×C73—81no—
783C2×C4×C73—81no—
784C2×C4×C73—81no—
785C2×C4×C73—81no—
786C2×C4×C73—81no—
787C2×C4×C73—81no—
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C2511yescharacteristic
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804C8×C73—21no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—22no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—84no—
832C22×C73—84no—
833C22×C73#57512yes—
834C22×C73C23×D411yescharacteristic
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—22no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73C22×#4111yescharacteristic
858C4×C73#58511yescharacteristic
859#61456C7311yesmaximal, characteristic, direct product factor, Sylow
860C2×C73—22no—
861C2×C73—41no—
862C2×C73—41no—
863C2×C73—42no—
864C2×C73—81no—
865C2×C73—81no—
866C2×C73—81no—
867C2×C73—81no—
868C2×C73D4×#4111yescharacteristic
869C2×C73C2×#57511yescharacteristic
870C2×C73#358511yescharacteristic
871#3481C2×C7311yescharacteristic, complemented
872#3480C2×C7311yescharacteristic, complemented
873#3403C2×C7311yescharacteristic, complemented
874#3388C2×C7311yescharacteristic, complemented
875#3371C2×C7311yescharacteristic, complemented
876#3370C2×C7311yescharacteristic, complemented
877#3350C2×C7311yescharacteristic, complemented
878#3346C2×C7311yescharacteristic, complemented
879#3339C2×C7311yescharacteristic, complemented
880#3318C2×C7311yescharacteristic, complemented
881#3316C2×C7311yescharacteristic, complemented
882#3311C2×C7311yescharacteristic, complemented
883#3309C2×C7311yescharacteristic, complemented
884#3301C2×C7311yescharacteristic, complemented
885#3297C2×C7311yescharacteristic, complemented
886#3282C2×C7311yescharacteristic, complemented
887#3268C2×C7311yescharacteristic, complemented
888#3265C2×C7311yescharacteristic, complemented
889#3183C2×C7311yescharacteristic, complemented
890#3180C2×C7311yescharacteristic, complemented
891#3180C2×C7311yescharacteristic, complemented
892#3117C2×C7311yescharacteristic, complemented
893#3115C2×C7311yescharacteristic, complemented
894#3114C2×C7311yescharacteristic, complemented
895#3111C2×C7311yescharacteristic, complemented
896#3111C2×C7311yescharacteristic, complemented
897#3109C2×C7311yescharacteristic, complemented
898#2970C2×C7311yescharacteristic, complemented
899C4×AGL(1,ℤ/8)C2×C7311yescharacteristic, complemented
900#2943C2×C7311yescharacteristic, complemented
901C2×#440C2×C7311yescharacteristic, complemented
902C73#6145611yescharacteristic, direct product factor, Sylow
903C2×AGL(1,ℤ/8)C22×C7311yescharacteristic
904C2×#135C22×C7311yescharacteristic
905C22×SD16C22×C7311yescharacteristic
906#559—21no—
907#559C22×C7311yescharacteristic
908#559C22×C7311yescharacteristic, complemented
909#557C22×C7311yescharacteristic, complemented
910#556—21no—
911#556C22×C7311yescharacteristic, complemented
912#554C22×C7311yescharacteristic
913#554C22×C7311yescharacteristic
914#553—21no—
915#553—21no—
916#553—21no—
917#553C22×C7311yescharacteristic
918#553C22×C7311yescharacteristic
919#553C22×C7311yescharacteristic
920#553C22×C7311yescharacteristic, complemented
921#551—21no—
922#551—21no—
923#550C22×C7311yescharacteristic, complemented
924#548C22×C7311yescharacteristic
925#548C22×C7311yescharacteristic, complemented
926#546—21no—
927#546C22×C7311yescharacteristic
928#546C22×C7311yescharacteristic
929D42C22×C7311yescharacteristic
930#532—21no—
931#532C22×C7311yescharacteristic
932#532C22×C7311yescharacteristic, complemented
933#529—21no—
934#529—21no—
935#529—21no—
936#529C22×C7311yescharacteristic
937#529C22×C7311yescharacteristic
938#529C22×C7311yescharacteristic, complemented
939#529C22×C7311yescharacteristic, complemented
940#525—21no—
941#525—21no—
942C4×#41—21no—
943C4×#41C22×C7311yescharacteristic
944C4×#41C22×C7311yescharacteristic
945C4×#41C22×C7311yescharacteristic, complemented
946C4×#41C22×C7311yescharacteristic, complemented
947C2×C4×Q8C22×C7311yescharacteristic, complemented
948C2×C4×D4—21no—
949C2×C4×D4C22×C7311yescharacteristic
950C2×C4×D4C22×C7311yescharacteristic
951#501C22×C7311yescharacteristic, complemented
952#501C22×C7311yescharacteristic, complemented
953#499C22×C7311yescharacteristic, complemented
954#496C22×C7311yescharacteristic
955#496C22×C7311yescharacteristic, complemented
956#495C22×C7311yescharacteristic, complemented
957#490C22×C7311yescharacteristic
958#490C22×C7311yescharacteristic, complemented
959#489C22×C7311yescharacteristic, complemented
960#489C22×C7311yescharacteristic, complemented
961#488C22×C7311yescharacteristic, complemented
962#488C22×C7311yescharacteristic, complemented
963#485C22×C7311yescharacteristic, complemented
964#485C22×C7311yescharacteristic, complemented
965#484C22×C7311yescharacteristic, complemented
966#483C22×C7311yescharacteristic, complemented
967#482C22×C7311yescharacteristic
968#482C22×C7311yescharacteristic, complemented
969#482C22×C7311yescharacteristic, complemented
970#482C22×C7311yescharacteristic, complemented
971#481C22×C7311yescharacteristic
972#481C22×C7311yescharacteristic, complemented
973#481C22×C7311yescharacteristic, complemented
974#480C22×C7311yescharacteristic, complemented
975#479C22×C7311yescharacteristic, complemented
976#479C22×C7311yescharacteristic, complemented
977#479C22×C7311yescharacteristic, complemented
978#479C22×C7311yescharacteristic, complemented
979#478C22×C7311yescharacteristic
980#478C22×C7311yescharacteristic
981#478C22×C7311yescharacteristic, complemented
982#478C22×C7311yescharacteristic, complemented
983#476C22×C7311yescharacteristic
984#476C22×C7311yescharacteristic, complemented
985#475C22×C7311yescharacteristic, complemented
986#474C22×C7311yescharacteristic, complemented
987#470C22×C7311yescharacteristic, complemented
988#469C22×C7311yescharacteristic
989#468C22×C7311yescharacteristic
990#468C22×C7311yescharacteristic, complemented
991#466C22×C7311yescharacteristic
992#466C22×C7311yescharacteristic
993#466C22×C7311yescharacteristic, complemented
994#466C22×C7311yescharacteristic, complemented
995#465C22×C7311yescharacteristic, complemented
996#465C22×C7311yescharacteristic, complemented
997#465C22×C7311yescharacteristic, complemented
998#465C22×C7311yescharacteristic, complemented
999#464C22×C7311yescharacteristic, complemented
1000#464C22×C7311yescharacteristic, complemented
1001#464C22×C7311yescharacteristic, complemented
1002#464C22×C7311yescharacteristic, complemented
1003#463C22×C7311yescharacteristic
1004#463C22×C7311yescharacteristic
1005#463C22×C7311yescharacteristic, complemented
1006#463C22×C7311yescharacteristic, complemented
1007#460C22×C7311yescharacteristic
1008#459C22×C7311yescharacteristic
1009#459C22×C7311yescharacteristic
1010#459C22×C7311yescharacteristic, complemented
1011#452C22×C7311yescharacteristic
1012#452C22×C7311yescharacteristic, complemented
1013#451C22×C7311yescharacteristic, complemented
1014#450C22×C7311yescharacteristic
1015#449C22×C7311yescharacteristic
1016#449C22×C7311yescharacteristic
1017#449C22×C7311yescharacteristic, complemented
1018#449C22×C7311yescharacteristic, complemented
1019#448C22×C7311yescharacteristic
1020#447C22×C7311yescharacteristic
1021#447C22×C7311yescharacteristic
1022#447C22×C7311yescharacteristic
1023#446C22×C7311yescharacteristic, complemented
1024#446C22×C7311yescharacteristic, complemented
1025#442C22×C7311yescharacteristic
1026#442C22×C7311yescharacteristic
1027#442C22×C7311yescharacteristic
1028#442C22×C7311yescharacteristic, complemented
1029#442C22×C7311yescharacteristic, complemented
1030#442C22×C7311yescharacteristic, complemented
1031#442C22×C7311yescharacteristic, complemented
1032#441C22×C7311yescharacteristic, complemented
1033#441C22×C7311yescharacteristic, complemented
1034#441C22×C7311yescharacteristic, complemented
1035#440C22×C7311yescharacteristic
1036#440C22×C7311yescharacteristic
1037#440C22×C7311yescharacteristic
1038#440C22×C7311yescharacteristic
1039#440C22×C7311yescharacteristic
1040#440C22×C7311yescharacteristic, complemented
1041#440C22×C7311yescharacteristic, complemented
1042#440C22×C7311yescharacteristic, complemented
1043#440C22×C7311yescharacteristic, complemented
1044#440C22×C7311yescharacteristic, complemented
1045#440C22×C7311yescharacteristic, complemented
1046#440C22×C7311yescharacteristic, complemented
1047#440C22×C7311yescharacteristic, complemented
1048#440C22×C7311yescharacteristic, complemented
1049C4×SD16C22×C7311yescharacteristic
1050C4×SD16C22×C7311yescharacteristic, complemented
1051C4×D8C22×C7311yescharacteristic
1052C4×D8C22×C7311yescharacteristic, complemented
1053#435C22×C7311yescharacteristic
1054#435C22×C7311yescharacteristic
1055#435C22×C7311yescharacteristic, complemented
1056#435C22×C7311yescharacteristic, complemented
1057C8×D4C22×C7311yescharacteristic, complemented
1058C8×D4C22×C7311yescharacteristic, complemented
1059#432C22×C7311yescharacteristic, complemented
1060#432C22×C7311yescharacteristic, complemented
1061#432C22×C7311yescharacteristic, complemented
1062#428C22×C7311yescharacteristic, complemented
1063#427C22×C7311yescharacteristic, complemented
1064C2×#107C22×C7311yescharacteristic, complemented
1065#418C22×C7311yescharacteristic
1066#417C22×C7311yescharacteristic, complemented
1067#416C22×C7311yescharacteristic
1068#416C22×C7311yescharacteristic, complemented
1069C2×#103C22×C7311yescharacteristic, complemented
1070C2×#102C22×C7311yescharacteristic
1071C4×M16C22×C7311yescharacteristic, complemented
1072C2×#97C22×C7311yescharacteristic, complemented
1073C2×#97C22×C7311yescharacteristic, complemented
1074C2×#41—21no—
1075C2×#41—21no—
1076C2×#41D4×C7311yescharacteristic
1077C2×#41C23×C7311yescharacteristic
1078C2×#41C23×C7311yescharacteristic
1079C2×#41C23×C7311yescharacteristic
1080C22×Q8C23×C7311yescharacteristic
1081C22×D4—21no—
1082C22×D4C23×C7311yescharacteristic
1083C22×D4C23×C7311yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086AGL(1,ℤ/8)—24no—
1087#135—24no—
1088C2×Q16C23×C7311yescharacteristic
1089C2×Q16C23×C7311yescharacteristic
1090C2×SD16—24no—
1091C2×SD16C23×C7311yescharacteristic
1092C2×SD16C23×C7311yescharacteristic
1093C2×SD16C23×C7311yescharacteristic
1094C2×SD16C23×C7311yescharacteristic
1095C2×SD16C23×C7311yescharacteristic
1096C2×SD16C23×C7311yescharacteristic
1097C2×SD16C23×C7311yescharacteristic
1098C2×SD16C23×C7311yescharacteristic
1099C2×D8C23×C7311yescharacteristic
1100C2×D8C23×C7311yescharacteristic
1101C2×D8C23×C7311yescharacteristic
1102C2×D8C23×C7311yescharacteristic
1103C2×D8C23×C7311yescharacteristic
1104C2×D8C23×C7311yescharacteristic
1105C2×M16C23×C7311yescharacteristic
1106C2×M16C23×C7311yescharacteristic
1107C22×C8C23×C7311yescharacteristic
1108C22×C8C23×C7311yescharacteristic
1109C22×C8C23×C7311yescharacteristic
1110C22×C8C23×C7311yescharacteristic
1111C4⋊Q8—21no—
1112C4⋊Q8C23×C7311yescharacteristic
1113C4⋊Q8C23×C7311yescharacteristic
1114#127—21no—
1115#127C23×C7311yescharacteristic
1116#127C23×C7311yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#125—21no—
1128#125—21no—
1129#125—21no—
1130#125C23×C7311yescharacteristic
1131#125C23×C7311yescharacteristic
1132#125C23×C7311yescharacteristic
1133#125C23×C7311yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—21no—
1140#124—21no—
1141#124C23×C7311yescharacteristic
1142#124C23×C7311yescharacteristic
1143#124C23×C7311yescharacteristic
1144#124C23×C7311yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8C23×C7311yescharacteristic
1167C22⋊Q8C23×C7311yescharacteristic
1168C22⋊Q8C23×C7311yescharacteristic
1169C22⋊Q8C23×C7311yescharacteristic
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#121C23×C7311yescharacteristic
1184#121C23×C7311yescharacteristic
1185#121C23×C7311yescharacteristic
1186#121C23×C7311yescharacteristic
1187#121C23×C7311yescharacteristic
1188#121C23×C7311yescharacteristic
1189#121C23×C7311yescharacteristic
1190#121C23×C7311yescharacteristic
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8D4×C7311yescharacteristic
1200C4×Q8C23×C7311yescharacteristic
1201C4×Q8C23×C7311yescharacteristic
1202C4×Q8C23×C7311yescharacteristic
1203C4×Q8C23×C7311yescharacteristic
1204C4×Q8C23×C7311yescharacteristic
1205C4×Q8C23×C7311yescharacteristic
1206C4×Q8C23×C7311yescharacteristic
1207C4×Q8C23×C7311yescharacteristic
1208C4×Q8C23×C7311yescharacteristic
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×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4D4×C7311yescharacteristic
1236C4×D4D4×C7311yescharacteristic
1237C4×D4D4×C7311yescharacteristic
1238C4×D4C23×C7311yescharacteristic
1239C4×D4C23×C7311yescharacteristic
1240C4×D4C23×C7311yescharacteristic
1241C4×D4C23×C7311yescharacteristic
1242C4×D4C23×C7311yescharacteristic
1243C4×D4C23×C7311yescharacteristic
1244C4×D4C23×C7311yescharacteristic
1245C4×D4C23×C7311yescharacteristic
1246C4×D4C23×C7311yescharacteristic
1247C4×D4C23×C7311yescharacteristic
1248C4×D4C23×C7311yescharacteristic
1249C4×D4C23×C7311yescharacteristic
1250C4×D4C23×C7311yescharacteristic
1251C4×D4C23×C7311yescharacteristic
1252C4×D4C23×C7311yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117D4×C7311yescharacteristic
1261#117D4×C7311yescharacteristic
1262#117D4×C7311yescharacteristic
1263#117C23×C7311yescharacteristic
1264#117C23×C7311yescharacteristic
1265#117C23×C7311yescharacteristic
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—21no—
1268C2×C4⋊C4C23×C7311yescharacteristic
1269C2×C4⋊C4C23×C7311yescharacteristic
1270C2×C4⋊C4C23×C7311yescharacteristic
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—21no—
1275C2×C42—21no—
1276C2×C42—21no—
1277C2×C42—21no—
1278C2×C42—21no—
1279C2×C42C23×C7311yescharacteristic
1280C2×C42C23×C7311yescharacteristic
1281C2×C42C23×C7311yescharacteristic
1282#107C23×C7311yescharacteristic
1283#107C23×C7311yescharacteristic
1284#107C23×C7311yescharacteristic
1285#107C23×C7311yescharacteristic
1286#107C23×C7311yescharacteristic
1287#107C23×C7311yescharacteristic
1288#107C23×C7311yescharacteristic
1289#107C23×C7311yescharacteristic
1290#106C23×C7311yescharacteristic
1291#106C23×C7311yescharacteristic
1292#106C23×C7311yescharacteristic
1293#106C23×C7311yescharacteristic
1294#106C23×C7311yescharacteristic
1295#106C23×C7311yescharacteristic
1296#106C23×C7311yescharacteristic
1297#106C23×C7311yescharacteristic
1298C4⋊C8C23×C7311yescharacteristic
1299C4⋊C8C23×C7311yescharacteristic
1300C4⋊C8C23×C7311yescharacteristic
1301C4⋊C8C23×C7311yescharacteristic
1302C4⋊C8C23×C7311yescharacteristic
1303C4⋊C8C23×C7311yescharacteristic
1304#103C23×C7311yescharacteristic
1305#103C23×C7311yescharacteristic
1306#103C23×C7311yescharacteristic
1307#103C23×C7311yescharacteristic
1308#103C23×C7311yescharacteristic
1309#103C23×C7311yescharacteristic
1310#103C23×C7311yescharacteristic
1311#103C23×C7311yescharacteristic
1312#103C23×C7311yescharacteristic
1313#103C23×C7311yescharacteristic
1314#103C23×C7311yescharacteristic
1315#103C23×C7311yescharacteristic
1316#102C23×C7311yescharacteristic
1317#102C23×C7311yescharacteristic
1318#102C23×C7311yescharacteristic
1319#102C23×C7311yescharacteristic
1320#102C23×C7311yescharacteristic
1321#102C23×C7311yescharacteristic
1322#102C23×C7311yescharacteristic
1323#102C23×C7311yescharacteristic
1324#102C23×C7311yescharacteristic
1325#102C23×C7311yescharacteristic
1326#102C23×C7311yescharacteristic
1327#102C23×C7311yescharacteristic
1328#102C23×C7311yescharacteristic
1329#102C23×C7311yescharacteristic
1330#102C23×C7311yescharacteristic
1331#102C23×C7311yescharacteristic
1332#102C23×C7311yescharacteristic
1333#102C23×C7311yescharacteristic
1334#102C23×C7311yescharacteristic
1335#102C23×C7311yescharacteristic
1336C22⋊C8C23×C7311yescharacteristic
1337C22⋊C8C23×C7311yescharacteristic
1338C22⋊C8C23×C7311yescharacteristic
1339C22⋊C8C23×C7311yescharacteristic
1340C22⋊C8C23×C7311yescharacteristic
1341C22⋊C8C23×C7311yescharacteristic
1342#97C23×C7311yescharacteristic
1343#97C23×C7311yescharacteristic
1344#97C23×C7311yescharacteristic
1345#97C23×C7311yescharacteristic
1346#97C23×C7311yescharacteristic
1347#97C23×C7311yescharacteristic
1348#97C23×C7311yescharacteristic
1349#97C23×C7311yescharacteristic
1350C4×C8C23×C7311yescharacteristic
1351C4×C8C23×C7311yescharacteristic
1352C24—21no—
1353C24—21no—
1354#41—22no—
1355#41—22no—
1356#41—22no—
1357#41—42no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—44no—
1362#41—82no—
1363C2×Q8—21no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—22no—
1367C2×Q8—41no—
1368C2×Q8C2×D4×C7311yescharacteristic
1369C2×Q8C24×C7311yescharacteristic
1370C2×Q8C24×C7311yescharacteristic
1371C2×Q8C24×C7311yescharacteristic
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—44no—
1394C2×D4C2×D4×C7311yescharacteristic
1395C2×D4C2×D4×C7311yescharacteristic
1396C2×D4C2×D4×C7311yescharacteristic
1397C2×D4C24×C7311yescharacteristic
1398C2×D4C24×C7311yescharacteristic
1399C2×D4C24×C7311yescharacteristic
1400C2×D4C24×C7311yescharacteristic
1401C2×D4C24×C7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—82no—
1422C22×C4—82no—
1423C22×C4C2×D4×C7311yescharacteristic
1424C22×C4C2×D4×C7311yescharacteristic
1425C22×C4C2×D4×C7311yescharacteristic
1426C22×C4C2×D4×C7311yescharacteristic
1427C22×C4C2×D4×C7311yescharacteristic
1428C22×C4C2×D4×C7311yescharacteristic
1429C22×C4C24×C7311yescharacteristic
1430C22×C4C24×C7311yescharacteristic
1431C22×C4C24×C7311yescharacteristic
1432Q16—22no—
1433Q16—41no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—22no—
1439SD16—41no—
1440SD16—41no—
1441SD16#41×C7314yescomplemented
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8—41no—
1447D8—41no—
1448M16—22no—
1449M16—41no—
1450C2×C8—22no—
1451C2×C8—22no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8C24×C7311yescharacteristic
1455C2×C8C24×C7311yescharacteristic
1456C2×C8C24×C7311yescharacteristic
1457C2×C8C24×C7311yescharacteristic
1458C2×C8C24×C7311yescharacteristic
1459C2×C8C24×C7311yescharacteristic
1460C2×C8C24×C7311yescharacteristic
1461C2×C8C24×C7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4C2×D4×C7311yescharacteristic
1488C4⋊C4C2×D4×C7311yescharacteristic
1489C4⋊C4C2×D4×C7311yescharacteristic
1490C4⋊C4C2×D4×C7311yescharacteristic
1491C4⋊C4C2×D4×C7311yescharacteristic
1492C4⋊C4C2×D4×C7311yescharacteristic
1493C4⋊C4C24×C7311yescharacteristic
1494C4⋊C4C24×C7311yescharacteristic
1495C4⋊C4C24×C7311yescharacteristic
1496C4⋊C4C24×C7311yescharacteristic
1497C4⋊C4C24×C7311yescharacteristic
1498C4⋊C4C24×C7311yescharacteristic
1499C4⋊C4C24×C7311yescharacteristic
1500C4⋊C4C24×C7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4C2×D4×C7311yescharacteristic
1537C22⋊C4C2×D4×C7311yescharacteristic
1538C22⋊C4C2×D4×C7311yescharacteristic
1539C22⋊C4C2×D4×C7311yescharacteristic
1540C22⋊C4C2×D4×C7311yescharacteristic
1541C22⋊C4C2×D4×C7311yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42C2×D4×C7311yescharacteristic
1554C42C2×D4×C7311yescharacteristic
1555C42C2×D4×C7311yescharacteristic
1556C42C2×D4×C7311yescharacteristic
1557C42C2×D4×C7311yescharacteristic
1558C42C2×D4×C7311yescharacteristic
1559C42C24×C7311yescharacteristic
1560C42C24×C7311yescharacteristic
1561C42C24×C7311yescharacteristic
1562C42C24×C7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23C22×D4×C7311yescharacteristic
1575C23C22×D4×C7311yescharacteristic
1576C23C22×D4×C7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—41no—
1583Q8—42no—
1584Q8—42no—
1585Q8—81no—
1586Q8C2×#41×C7312yes—
1587D4—22no—
1588D4—22no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—41no—
1599D4—42no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4C2×#41×C7312yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4C22×D4×C7311yescharacteristic
1660C2×C4C22×D4×C7311yescharacteristic
1661C2×C4C22×D4×C7311yescharacteristic
1662C2×C4C22×D4×C7311yescharacteristic
1663C2×C4C22×D4×C7311yescharacteristic
1664C2×C4C22×D4×C7311yescharacteristic
1665C2×C4C22×D4×C7311yescharacteristic
1666C2×C4C22×D4×C7311yescharacteristic
1667C2×C4C22×D4×C7311yescharacteristic
1668C2×C4C22×D4×C7311yescharacteristic
1669C2×C4C22×D4×C7311yescharacteristic
1670C2×C4C25×C7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8C2×#41×C7312yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—22no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—84no—
1703C22—84no—
1704C22#575×C7312yes—
1705C22C23×D4×C7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4C22×#41×C7311yescharacteristic
1729C4#585×C7311yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—81no—
1736C2—81no—
1737C2—81no—
1738C2D4×#41×C7311yescharacteristic
1739C2C2×#575×C7311yescharacteristic
1740C2C73×#358511yescharacteristic
subgroupG/H
center, socleC22×C73C23×D4
commutator, Frattini, cosocleC2×C4C25×C73
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ C4×#41×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3481C2semidirect
2. C73×#3480C2semidirect
3. C73×#3403C2semidirect
4. C73×#3388C2semidirect
5. C73×#3371C2semidirect
6. C73×#3370C2semidirect
7. C73×#3350C2semidirect
8. C73×#3346C2semidirect
9. C73×#3339C2semidirect
10. C73×#3318C2semidirect
11. C73×#3316C2semidirect
12. C73×#3311C2semidirect
13. C73×#3309C2semidirect
14. C73×#3301C2semidirect
15. C73×#3297C2semidirect
16. C73×#3282C2semidirect
17. C73×#3268C2semidirect
18. C73×#3265C2semidirect
19. C73×#3183C2semidirect
20. C73×#3180C2semidirect
21. C73×#3180C2semidirect
22. C73×#3117C2semidirect
23. C73×#3115C2semidirect
24. C73×#3114C2semidirect
25. C73×#3111C2semidirect
26. C73×#3111C2semidirect
27. C73×#3109C2semidirect
28. C73×#2970C2semidirect
29. C4×AGL(1,ℤ/8)×C73C2semidirect
30. C73×#2943C2semidirect
31. C2×#440×C73C2semidirect
37. #559×C73C22semidirect
38. #557×C73C22semidirect
40. #556×C73C22semidirect
49. #553×C73C22semidirect
52. #550×C73C22semidirect
54. #548×C73C22semidirect
61. #532×C73C22semidirect
67. #529×C73C22semidirect
68. #529×C73C22semidirect
74. C4×#41×C73C22semidirect
75. C4×#41×C73C22semidirect
76. C2×C4×Q8×C73C22semidirect
80. #501×C73C22semidirect
81. #501×C73C22semidirect
82. #499×C73C22semidirect
84. #496×C73C22semidirect
85. #495×C73C22semidirect
87. #490×C73C22semidirect
88. #489×C73C22semidirect
89. #489×C73C22semidirect
90. #488×C73C22semidirect
91. #488×C73C22semidirect
92. #485×C73C22semidirect
93. #485×C73C22semidirect
94. #484×C73C22semidirect
95. #483×C73C22semidirect
97. #482×C73C22semidirect
98. #482×C73C22semidirect
99. #482×C73C22semidirect
101. #481×C73C22semidirect
102. #481×C73C22semidirect
103. #480×C73C22semidirect
104. #479×C73C22semidirect
105. #479×C73C22semidirect
106. #479×C73C22semidirect
107. #479×C73C22semidirect
110. #478×C73C22semidirect
111. #478×C73C22semidirect
113. #476×C73C22semidirect
114. #475×C73C22semidirect
115. #474×C73C22semidirect
116. #470×C73C22semidirect
119. #468×C73C22semidirect
122. #466×C73C22semidirect
123. #466×C73C22semidirect
124. #465×C73C22semidirect
125. #465×C73C22semidirect
126. #465×C73C22semidirect
127. #465×C73C22semidirect
128. #464×C73C22semidirect
129. #464×C73C22semidirect
130. #464×C73C22semidirect
131. #464×C73C22semidirect
134. #463×C73C22semidirect
135. #463×C73C22semidirect
139. #459×C73C22semidirect
141. #452×C73C22semidirect
142. #451×C73C22semidirect
146. #449×C73C22semidirect
147. #449×C73C22semidirect
152. #446×C73C22semidirect
153. #446×C73C22semidirect
157. #442×C73C22semidirect
158. #442×C73C22semidirect
159. #442×C73C22semidirect
160. #442×C73C22semidirect
161. #441×C73C22semidirect
162. #441×C73C22semidirect
163. #441×C73C22semidirect
169. #440×C73C22semidirect
170. #440×C73C22semidirect
171. #440×C73C22semidirect
172. #440×C73C22semidirect
173. #440×C73C22semidirect
174. #440×C73C22semidirect
175. #440×C73C22semidirect
176. #440×C73C22semidirect
177. #440×C73C22semidirect
179. C4×SD16×C73C22semidirect
181. C4×D8×C73C22semidirect
184. #435×C73C22semidirect
185. #435×C73C22semidirect
186. C8×D4×C73C22semidirect
187. C8×D4×C73C22semidirect
188. #432×C73C22semidirect
189. #432×C73C22semidirect
190. #432×C73C22semidirect
191. #428×C73C22semidirect
192. #427×C73C22semidirect
193. C2×#107×C73C22semidirect
195. #417×C73C22semidirect
197. #416×C73C22semidirect
198. C2×#103×C73C22semidirect
200. C4×M16×C73C22semidirect
201. C2×#97×C73C22semidirect
202. C2×#97×C73C22semidirect
570. SD16×C73#41semidirect
859. #61456C73direct (N × H)
871. #3481C2×C73semidirect
872. #3480C2×C73semidirect
873. #3403C2×C73semidirect
874. #3388C2×C73semidirect
875. #3371C2×C73semidirect
876. #3370C2×C73semidirect
877. #3350C2×C73semidirect
878. #3346C2×C73semidirect
879. #3339C2×C73semidirect
880. #3318C2×C73semidirect
881. #3316C2×C73semidirect
882. #3311C2×C73semidirect
883. #3309C2×C73semidirect
884. #3301C2×C73semidirect
885. #3297C2×C73semidirect
886. #3282C2×C73semidirect
887. #3268C2×C73semidirect
888. #3265C2×C73semidirect
889. #3183C2×C73semidirect
890. #3180C2×C73semidirect
891. #3180C2×C73semidirect
892. #3117C2×C73semidirect
893. #3115C2×C73semidirect
894. #3114C2×C73semidirect
895. #3111C2×C73semidirect
896. #3111C2×C73semidirect
897. #3109C2×C73semidirect
898. #2970C2×C73semidirect
899. C4×AGL(1,ℤ/8)C2×C73semidirect
900. #2943C2×C73semidirect
901. C2×#440C2×C73semidirect
902. C73#61456direct (N × H)
908. #559C22×C73semidirect
909. #557C22×C73semidirect
911. #556C22×C73semidirect
920. #553C22×C73semidirect
923. #550C22×C73semidirect
925. #548C22×C73semidirect
932. #532C22×C73semidirect
938. #529C22×C73semidirect
939. #529C22×C73semidirect
945. C4×#41C22×C73semidirect
946. C4×#41C22×C73semidirect
947. C2×C4×Q8C22×C73semidirect
951. #501C22×C73semidirect
952. #501C22×C73semidirect
953. #499C22×C73semidirect
955. #496C22×C73semidirect
956. #495C22×C73semidirect
958. #490C22×C73semidirect
959. #489C22×C73semidirect
960. #489C22×C73semidirect
961. #488C22×C73semidirect
962. #488C22×C73semidirect
963. #485C22×C73semidirect
964. #485C22×C73semidirect
965. #484C22×C73semidirect
966. #483C22×C73semidirect
968. #482C22×C73semidirect
969. #482C22×C73semidirect
970. #482C22×C73semidirect
972. #481C22×C73semidirect
973. #481C22×C73semidirect
974. #480C22×C73semidirect
975. #479C22×C73semidirect
976. #479C22×C73semidirect
977. #479C22×C73semidirect
978. #479C22×C73semidirect
981. #478C22×C73semidirect
982. #478C22×C73semidirect
984. #476C22×C73semidirect
985. #475C22×C73semidirect
986. #474C22×C73semidirect
987. #470C22×C73semidirect
990. #468C22×C73semidirect
993. #466C22×C73semidirect
994. #466C22×C73semidirect
995. #465C22×C73semidirect
996. #465C22×C73semidirect
997. #465C22×C73semidirect
998. #465C22×C73semidirect
999. #464C22×C73semidirect
1000. #464C22×C73semidirect
1001. #464C22×C73semidirect
1002. #464C22×C73semidirect
1005. #463C22×C73semidirect
1006. #463C22×C73semidirect
1010. #459C22×C73semidirect
1012. #452C22×C73semidirect
1013. #451C22×C73semidirect
1017. #449C22×C73semidirect
1018. #449C22×C73semidirect
1023. #446C22×C73semidirect
1024. #446C22×C73semidirect
1028. #442C22×C73semidirect
1029. #442C22×C73semidirect
1030. #442C22×C73semidirect
1031. #442C22×C73semidirect
1032. #441C22×C73semidirect
1033. #441C22×C73semidirect
1034. #441C22×C73semidirect
1040. #440C22×C73semidirect
1041. #440C22×C73semidirect
1042. #440C22×C73semidirect
1043. #440C22×C73semidirect
1044. #440C22×C73semidirect
1045. #440C22×C73semidirect
1046. #440C22×C73semidirect
1047. #440C22×C73semidirect
1048. #440C22×C73semidirect
1050. C4×SD16C22×C73semidirect
1052. C4×D8C22×C73semidirect
1055. #435C22×C73semidirect
1056. #435C22×C73semidirect
1057. C8×D4C22×C73semidirect
1058. C8×D4C22×C73semidirect
1059. #432C22×C73semidirect
1060. #432C22×C73semidirect
1061. #432C22×C73semidirect
1062. #428C22×C73semidirect
1063. #427C22×C73semidirect
1064. C2×#107C22×C73semidirect
1066. #417C22×C73semidirect
1068. #416C22×C73semidirect
1069. C2×#103C22×C73semidirect
1071. C4×M16C22×C73semidirect
1072. C2×#97C22×C73semidirect
1073. C2×#97C22×C73semidirect
1441. SD16#41×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#34812
C73×#34802
C73×#34032
C73×#33882
C73×#33712
C73×#33702
C73×#33502
C73×#33462
C73×#33392
C73×#33182
C73×#33162
C73×#33112
C73×#33092
C73×#33012
C73×#32972
C73×#32822
C73×#32682
C73×#32652
C73×#31832
C73×#31802
C73×#31172
C73×#31152
C73×#31142
C73×#31112
C73×#31092
C73×#29702
C4×AGL(1,ℤ/8)×C732
C73×#29432
C2×#440×C732
#6145673