Finite Group Databasebeta

← C79×#62049 #34173738

Subgroups — C79×#62049 #34173738

Order 20224.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#3558C211yesmaximal, characteristic, complemented
2C79×#3524C211yesmaximal, characteristic, complemented
3C79×#3403C211yesmaximal, characteristic, complemented
4C79×#3396C211yesmaximal, characteristic, complemented
5C79×#3371C211yesmaximal, characteristic, complemented
6C79×#3365C211yesmaximal, characteristic, complemented
7C79×#3327C211yesmaximal, characteristic, complemented
8C79×#3325C211yesmaximal, characteristic, complemented
9C79×#3322C211yesmaximal, characteristic, complemented
10C79×#3321C211yesmaximal, characteristic, complemented
11C79×#3310C211yesmaximal, characteristic, complemented
12C79×#3297C211yesmaximal, characteristic, complemented
13C79×#3282C211yesmaximal, characteristic, complemented
14C79×#3277C211yesmaximal, characteristic, complemented
15C79×#3275C211yesmaximal, characteristic, complemented
16C79×#3274C211yesmaximal, characteristic, complemented
17C79×#3271C211yesmaximal, characteristic, complemented
18C79×#3265C211yesmaximal, characteristic, complemented
19C79×#3263C211yesmaximal, characteristic, complemented
20C79×#3257C211yesmaximal, characteristic, complemented
21C79×#3251C211yesmaximal, characteristic, complemented
22C79×#3224C211yesmaximal, characteristic, complemented
23C79×#3220C211yesmaximal, characteristic, complemented
24C79×#3211C211yesmaximal, characteristic, complemented
25C79×#3124C211yesmaximal, characteristic, complemented
26C79×#3121C211yesmaximal, characteristic, complemented
27C79×#3106C211yesmaximal, characteristic, complemented
28C79×#3045C211yesmaximal, characteristic, complemented
29C79×#3043C211yesmaximal, characteristic, complemented
30C79×#3040C211yesmaximal, characteristic, complemented
31C79×#2993C211yesmaximal, characteristic, complemented
32C2×#137×C79C2211yescharacteristic, complemented
33C2×#137×C79C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
36C2×#135×C79C2211yescharacteristic, complemented
37C22×SD16×C79C2211yescharacteristic, complemented
38#562×C79—21no—
39H(3,𝔽4)×C79—21no—
40#559×C79—21no—
41#559×C79C2211yescharacteristic
42#559×C79C2211yescharacteristic
43#559×C79C2211yescharacteristic, complemented
44#557×C79C2211yescharacteristic, complemented
45#555×C79—21no—
46#555×C79C2211yescharacteristic, complemented
47#553×C79—21no—
48#553×C79C2211yescharacteristic, complemented
49#552×C79—21no—
50#552×C79C2211yescharacteristic, complemented
51#550×C79C2211yescharacteristic, complemented
52#548×C79C2211yescharacteristic
53#548×C79C2211yescharacteristic
54#548×C79C2211yescharacteristic, complemented
55#548×C79C2211yescharacteristic, complemented
56#546×C79—21no—
57#546×C79—21no—
58#546×C79C2211yescharacteristic
59#546×C79C2211yescharacteristic
60D42×C79C2211yescharacteristic
61D42×C79C2211yescharacteristic
62#542×C79—21no—
63#542×C79C2211yescharacteristic
64#542×C79C2211yescharacteristic
65#542×C79C2211yescharacteristic, complemented
66#540×C79—21no—
67#540×C79C2211yescharacteristic, complemented
68#538×C79—21no—
69#538×C79—21no—
70#538×C79—21no—
71#535×C79C2211yescharacteristic
72#535×C79C2211yescharacteristic
73#534×C79—21no—
74#532×C79C2211yescharacteristic
75#529×C79—21no—
76#529×C79—21no—
77#529×C79C2211yescharacteristic
78#529×C79C2211yescharacteristic, complemented
79C2×#124×C79C2211yescharacteristic
80#520×C79C2211yescharacteristic, complemented
81#519×C79C2211yescharacteristic, complemented
82C4×#41×C79C2211yescharacteristic, complemented
83#496×C79C2211yescharacteristic
84#496×C79C2211yescharacteristic, complemented
85#495×C79C2211yescharacteristic, complemented
86#495×C79C2211yescharacteristic, complemented
87#495×C79C2211yescharacteristic, complemented
88#493×C79C2211yescharacteristic
89#490×C79C2211yescharacteristic
90#489×C79C2211yescharacteristic, complemented
91#488×C79C2211yescharacteristic, complemented
92#488×C79C2211yescharacteristic, complemented
93#488×C79C2211yescharacteristic, complemented
94#486×C79C2211yescharacteristic
95#485×C79C2211yescharacteristic, complemented
96#484×C79C2211yescharacteristic, complemented
97#482×C79C2211yescharacteristic
98#482×C79C2211yescharacteristic, complemented
99#482×C79C2211yescharacteristic, complemented
100#480×C79C2211yescharacteristic
101#479×C79C2211yescharacteristic, complemented
102#478×C79C2211yescharacteristic, complemented
103#478×C79C2211yescharacteristic, complemented
104#478×C79C2211yescharacteristic, complemented
105#477×C79C2211yescharacteristic, complemented
106#476×C79C2211yescharacteristic, complemented
107#476×C79C2211yescharacteristic, complemented
108#475×C79C2211yescharacteristic, complemented
109#475×C79C2211yescharacteristic, complemented
110#474×C79C2211yescharacteristic, complemented
111#470×C79C2211yescharacteristic, complemented
112#469×C79C2211yescharacteristic
113#469×C79C2211yescharacteristic
114#469×C79C2211yescharacteristic, complemented
115#469×C79C2211yescharacteristic, complemented
116#468×C79C2211yescharacteristic, complemented
117#468×C79C2211yescharacteristic, complemented
118#468×C79C2211yescharacteristic, complemented
119#466×C79C2211yescharacteristic
120#465×C79C2211yescharacteristic
121#465×C79C2211yescharacteristic, complemented
122#465×C79C2211yescharacteristic, complemented
123#464×C79C2211yescharacteristic, complemented
124#464×C79C2211yescharacteristic, complemented
125#464×C79C2211yescharacteristic, complemented
126#464×C79C2211yescharacteristic, complemented
127#464×C79C2211yescharacteristic, complemented
128#464×C79C2211yescharacteristic, complemented
129#464×C79C2211yescharacteristic, complemented
130#464×C79C2211yescharacteristic, complemented
131#464×C79C2211yescharacteristic, complemented
132#464×C79C2211yescharacteristic, complemented
133#463×C79C2211yescharacteristic, complemented
134#463×C79C2211yescharacteristic, complemented
135#463×C79C2211yescharacteristic, complemented
136#463×C79C2211yescharacteristic, complemented
137#463×C79C2211yescharacteristic, complemented
138#463×C79C2211yescharacteristic, complemented
139#463×C79C2211yescharacteristic, complemented
140#463×C79C2211yescharacteristic, complemented
141#463×C79C2211yescharacteristic, complemented
142#463×C79C2211yescharacteristic, complemented
143#460×C79C2211yescharacteristic
144#460×C79C2211yescharacteristic
145#460×C79C2211yescharacteristic
146#460×C79C2211yescharacteristic, complemented
147#460×C79C2211yescharacteristic, complemented
148#460×C79C2211yescharacteristic, complemented
149#459×C79C2211yescharacteristic
150#459×C79C2211yescharacteristic, complemented
151#459×C79C2211yescharacteristic, complemented
152#459×C79C2211yescharacteristic, complemented
153#452×C79C2211yescharacteristic, complemented
154#452×C79C2211yescharacteristic, complemented
155#451×C79C2211yescharacteristic, complemented
156#451×C79C2211yescharacteristic, complemented
157#450×C79C2211yescharacteristic
158#450×C79C2211yescharacteristic, complemented
159#449×C79C2211yescharacteristic
160#449×C79C2211yescharacteristic, complemented
161#449×C79C2211yescharacteristic, complemented
162#449×C79C2211yescharacteristic, complemented
163#449×C79C2211yescharacteristic, complemented
164#449×C79C2211yescharacteristic, complemented
165#448×C79C2211yescharacteristic
166#448×C79C2211yescharacteristic, complemented
167#447×C79C2211yescharacteristic
168#447×C79C2211yescharacteristic, complemented
169#447×C79C2211yescharacteristic, complemented
170#447×C79C2211yescharacteristic, complemented
171#446×C79C2211yescharacteristic, complemented
172C8×Q8×C79C2211yescharacteristic, complemented
173#441×C79C2211yescharacteristic, complemented
174#440×C79C2211yescharacteristic, complemented
175#440×C79C2211yescharacteristic, complemented
176#440×C79C2211yescharacteristic, complemented
177C4×Q16×C79C2211yescharacteristic, complemented
178C4×Q16×C79C2211yescharacteristic, complemented
179C4×SD16×C79C2211yescharacteristic, complemented
180C4×SD16×C79C2211yescharacteristic, complemented
181C4×SD16×C79C2211yescharacteristic, complemented
182C4×D8×C79C2211yescharacteristic, complemented
183C4×D8×C79C2211yescharacteristic, complemented
184C4×D8×C79C2211yescharacteristic, complemented
185#436×C79C2211yescharacteristic, complemented
186#436×C79C2211yescharacteristic, complemented
187#436×C79C2211yescharacteristic, complemented
188#435×C79C2211yescharacteristic, complemented
189#435×C79C2211yescharacteristic, complemented
190C8×D4×C79C2211yescharacteristic, complemented
191#433×C79C2211yescharacteristic, complemented
192#433×C79C2211yescharacteristic, complemented
193#431×C79C2211yescharacteristic, complemented
194#424×C79C2211yescharacteristic, complemented
195#424×C79C2211yescharacteristic, complemented
196#423×C79C2211yescharacteristic, complemented
197#419×C79C2211yescharacteristic, complemented
198#418×C79C2211yescharacteristic
199#418×C79C2211yescharacteristic, complemented
200#417×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#41×C79—21no—
204C2×#41×C79C2311yescharacteristic
205C2×#41×C79C2311yescharacteristic
206C2×#41×C79C2311yescharacteristic
207C2×#41×C79C2311yescharacteristic
208C22×Q8×C79C2311yescharacteristic
209C22×Q8×C79C2311yescharacteristic
210C22×D4×C79—21no—
211C22×D4×C79—21no—
212C22×D4×C79C2311yescharacteristic
213C22×D4×C79C2311yescharacteristic
214C22×D4×C79C2311yescharacteristic
215#137×C79—42no—
216#137×C79—42no—
217AGL(1,ℤ/8)×C79—42no—
218AGL(1,ℤ/8)×C79—42no—
219#135×C79—42no—
220C2×Q16×C79C2311yescharacteristic
221C2×Q16×C79C2311yescharacteristic
222C2×Q16×C79C2311yescharacteristic
223C2×Q16×C79C2311yescharacteristic
224C2×SD16×C79—42no—
225C2×SD16×C79C2311yescharacteristic
226C2×SD16×C79C2311yescharacteristic
227C2×SD16×C79C2311yescharacteristic
228C2×SD16×C79C2311yescharacteristic
229C2×SD16×C79C2311yescharacteristic
230C2×SD16×C79C2311yescharacteristic
231C2×SD16×C79C2311yescharacteristic
232C2×SD16×C79C2311yescharacteristic
233C2×SD16×C79C2311yescharacteristic
234C2×SD16×C79C2311yescharacteristic
235C2×SD16×C79C2311yescharacteristic
236C2×SD16×C79C2311yescharacteristic
237C2×D8×C79C2311yescharacteristic
238C2×D8×C79C2311yescharacteristic
239C2×D8×C79C2311yescharacteristic
240C2×D8×C79C2311yescharacteristic
241C2×D8×C79C2311yescharacteristic
242C2×D8×C79C2311yescharacteristic
243C2×D8×C79C2311yescharacteristic
244C2×D8×C79C2311yescharacteristic
245C2×M16×C79C2311yescharacteristic
246C2×M16×C79C2311yescharacteristic
247C2×M16×C79C2311yescharacteristic
248C2×M16×C79C2311yescharacteristic
249C22×C8×C79C2311yescharacteristic
250C22×C8×C79C2311yescharacteristic
251C4⋊Q8×C79—21no—
252C4⋊Q8×C79C2311yescharacteristic
253C4⋊Q8×C79C2311yescharacteristic
254#127×C79—21no—
255#127×C79C2311yescharacteristic
256#127×C79C2311yescharacteristic
257#127×C79C2311yescharacteristic
258#127×C79C2311yescharacteristic
259#126×C79—21no—
260#126×C79—21no—
261#126×C79—21no—
262#126×C79—21no—
263#126×C79—21no—
264#126×C79—21no—
265#126×C79D411yescharacteristic
266#126×C79D411yescharacteristic
267#125×C79—21no—
268#125×C79—21no—
269#125×C79—21no—
270#125×C79D411yescharacteristic
271#125×C79C2311yescharacteristic
272#125×C79C2311yescharacteristic
273#124×C79—21no—
274#124×C79—21no—
275#124×C79—21no—
276#124×C79—21no—
277#124×C79—21no—
278#124×C79—21no—
279#124×C79—21no—
280#124×C79—21no—
281#124×C79—21no—
282#124×C79—21no—
283#124×C79—21no—
284#124×C79—21no—
285#124×C79—21no—
286#124×C79—21no—
287#124×C79—21no—
288#124×C79D411yescharacteristic
289#124×C79C2311yescharacteristic
290#124×C79C2311yescharacteristic
291#124×C79C2311yescharacteristic
292#124×C79C2311yescharacteristic
293#124×C79C2311yescharacteristic
294#124×C79C2311yescharacteristic
295#124×C79C2311yescharacteristic
296#124×C79C2311yescharacteristic
297#123×C79—21no—
298#123×C79—21no—
299#123×C79—21no—
300#123×C79—21no—
301#123×C79—21no—
302#123×C79—21no—
303#123×C79—21no—
304#123×C79—21no—
305#123×C79—21no—
306#123×C79—21no—
307#123×C79—21no—
308#123×C79—21no—
309#123×C79—21no—
310#123×C79—21no—
311#123×C79—21no—
312#123×C79—21no—
313#123×C79D411yescharacteristic
314#123×C79D411yescharacteristic
315C22⋊Q8×C79—21no—
316C22⋊Q8×C79—21no—
317C22⋊Q8×C79—21no—
318C22⋊Q8×C79—21no—
319C22⋊Q8×C79—21no—
320C22⋊Q8×C79—21no—
321C22⋊Q8×C79—21no—
322C22⋊Q8×C79D411yescharacteristic
323C22⋊Q8×C79C2311yescharacteristic
324C22⋊Q8×C79C2311yescharacteristic
325C22⋊Q8×C79C2311yescharacteristic
326C22⋊Q8×C79C2311yescharacteristic
327#121×C79—21no—
328#121×C79—21no—
329#121×C79—21no—
330#121×C79—21no—
331#121×C79—21no—
332#121×C79—21no—
333#121×C79—21no—
334#121×C79—21no—
335#121×C79—21no—
336#121×C79—21no—
337#121×C79—21no—
338#121×C79—21no—
339#121×C79—21no—
340#121×C79—21no—
341#121×C79—21no—
342#121×C79—21no—
343#121×C79—21no—
344#121×C79—21no—
345#121×C79—21no—
346#121×C79D411yescharacteristic
347#121×C79C2311yescharacteristic
348#121×C79C2311yescharacteristic
349#121×C79C2311yescharacteristic
350#121×C79C2311yescharacteristic
351#121×C79C2311yescharacteristic
352#121×C79C2311yescharacteristic
353#121×C79C2311yescharacteristic
354#121×C79C2311yescharacteristic
355#120×C79—21no—
356#120×C79—21no—
357#120×C79—21no—
358#120×C79—21no—
359#120×C79—21no—
360#120×C79—21no—
361#120×C79—21no—
362#120×C79—21no—
363#120×C79—21no—
364#120×C79—21no—
365C4×Q8×C79—21no—
366C4×Q8×C79—21no—
367C4×Q8×C79—21no—
368C4×Q8×C79C2311yescharacteristic
369C4×Q8×C79C2311yescharacteristic
370C4×Q8×C79C2311yescharacteristic
371C4×Q8×C79C2311yescharacteristic
372C4×Q8×C79C2311yescharacteristic
373C4×Q8×C79C2311yescharacteristic
374C4×Q8×C79C2311yescharacteristic
375C4×Q8×C79C2311yescharacteristic
376C4×Q8×C79C2311yescharacteristic
377C4×D4×C79—21no—
378C4×D4×C79—21no—
379C4×D4×C79—21no—
380C4×D4×C79—21no—
381C4×D4×C79—21no—
382C4×D4×C79—21no—
383C4×D4×C79—21no—
384C4×D4×C79—21no—
385C4×D4×C79—21no—
386C4×D4×C79—21no—
387C4×D4×C79—21no—
388C4×D4×C79—21no—
389C4×D4×C79—21no—
390C4×D4×C79—21no—
391C4×D4×C79—21no—
392C4×D4×C79C2311yescharacteristic
393C4×D4×C79C2311yescharacteristic
394C4×D4×C79C2311yescharacteristic
395C4×D4×C79C2311yescharacteristic
396C4×D4×C79C2311yescharacteristic
397C4×D4×C79C2311yescharacteristic
398C4×D4×C79C2311yescharacteristic
399C4×D4×C79C2311yescharacteristic
400C4×D4×C79C2311yescharacteristic
401C4×D4×C79C2311yescharacteristic
402C4×D4×C79C2311yescharacteristic
403#117×C79—21no—
404#117×C79—21no—
405#117×C79—21no—
406#117×C79—21no—
407#117×C79—21no—
408#117×C79—21no—
409#117×C79—21no—
410#117×C79C2311yescharacteristic
411#117×C79C2311yescharacteristic
412#117×C79C2311yescharacteristic
413#117×C79C2311yescharacteristic
414C2×C4⋊C4×C79—21no—
415C2×C4⋊C4×C79C2311yescharacteristic
416C2×C22⋊C4×C79—21no—
417C2×C22⋊C4×C79—21no—
418C2×C22⋊C4×C79—21no—
419C2×C22⋊C4×C79—21no—
420C2×C42×C79—21no—
421C2×C42×C79C2311yescharacteristic
422#107×C79C2311yescharacteristic
423#107×C79C2311yescharacteristic
424#107×C79C2311yescharacteristic
425#107×C79C2311yescharacteristic
426#106×C79C2311yescharacteristic
427#106×C79C2311yescharacteristic
428#106×C79C2311yescharacteristic
429#106×C79C2311yescharacteristic
430C4⋊C8×C79C2311yescharacteristic
431C4⋊C8×C79C2311yescharacteristic
432C4⋊C8×C79C2311yescharacteristic
433C4⋊C8×C79C2311yescharacteristic
434C4⋊C8×C79C2311yescharacteristic
435C4⋊C8×C79C2311yescharacteristic
436C4⋊C8×C79C2311yescharacteristic
437C4⋊C8×C79C2311yescharacteristic
438C4⋊C8×C79C2311yescharacteristic
439C4⋊C8×C79C2311yescharacteristic
440#103×C79C2311yescharacteristic
441#103×C79C2311yescharacteristic
442#103×C79C2311yescharacteristic
443#103×C79C2311yescharacteristic
444#103×C79C2311yescharacteristic
445#103×C79C2311yescharacteristic
446#103×C79C2311yescharacteristic
447#103×C79C2311yescharacteristic
448#103×C79C2311yescharacteristic
449#103×C79C2311yescharacteristic
450#103×C79C2311yescharacteristic
451#103×C79C2311yescharacteristic
452#102×C79C2311yescharacteristic
453#102×C79C2311yescharacteristic
454#102×C79C2311yescharacteristic
455#102×C79C2311yescharacteristic
456#102×C79C2311yescharacteristic
457#102×C79C2311yescharacteristic
458#102×C79C2311yescharacteristic
459#102×C79C2311yescharacteristic
460#102×C79C2311yescharacteristic
461#102×C79C2311yescharacteristic
462#102×C79C2311yescharacteristic
463#102×C79C2311yescharacteristic
464#102×C79C2311yescharacteristic
465#102×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472C22⋊C8×C79C2311yescharacteristic
473C22⋊C8×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C22⋊C8×C79C2311yescharacteristic
478#97×C79C2311yescharacteristic
479#97×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C4×C8×C79C2311yescharacteristic
482C4×C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C24×C79—21no—
485C24×C79—21no—
486C24×C79—21no—
487#41×C79—22no—
488#41×C79—22no—
489#41×C79—41no—
490#41×C79—41no—
491#41×C79—41no—
492#41×C79—41no—
493#41×C79—41no—
494#41×C79—41no—
495#41×C79—82no—
496C2×Q8×C79—21no—
497C2×Q8×C79—21no—
498C2×Q8×C79—21no—
499C2×Q8×C79—21no—
500C2×Q8×C79—22no—
501C2×Q8×C79—41no—
502C2×Q8×C79—41no—
503C2×Q8×C79—41no—
504C2×Q8×C79C2×D411yescharacteristic
505C2×Q8×C79C2411yescharacteristic
506C2×Q8×C79C2411yescharacteristic
507C2×Q8×C79C2411yescharacteristic
508C2×Q8×C79C2411yescharacteristic
509C2×D4×C79—21no—
510C2×D4×C79—21no—
511C2×D4×C79—21no—
512C2×D4×C79—21no—
513C2×D4×C79—21no—
514C2×D4×C79—21no—
515C2×D4×C79—21no—
516C2×D4×C79—21no—
517C2×D4×C79—21no—
518C2×D4×C79—21no—
519C2×D4×C79—21no—
520C2×D4×C79—21no—
521C2×D4×C79—21no—
522C2×D4×C79—21no—
523C2×D4×C79—21no—
524C2×D4×C79—21no—
525C2×D4×C79—21no—
526C2×D4×C79—21no—
527C2×D4×C79—21no—
528C2×D4×C79—21no—
529C2×D4×C79—21no—
530C2×D4×C79—21no—
531C2×D4×C79—21no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—82no—
539C2×D4×C79—82no—
540C2×D4×C79C2×D411yescharacteristic
541C2×D4×C79C2×D411yescharacteristic
542C2×D4×C79C2×D411yescharacteristic
543C2×D4×C79C2411yescharacteristic
544C2×D4×C79C2411yescharacteristic
545C2×D4×C79C2411yescharacteristic
546C2×D4×C79C2411yescharacteristic
547C2×D4×C79C2411yescharacteristic
548C2×D4×C79C2411yescharacteristic
549C22×C4×C79—21no—
550C22×C4×C79—21no—
551C22×C4×C79—21no—
552C22×C4×C79—21no—
553C22×C4×C79—21no—
554C22×C4×C79—21no—
555C22×C4×C79—21no—
556C22×C4×C79—21no—
557C22×C4×C79—21no—
558C22×C4×C79—21no—
559C22×C4×C79—21no—
560C22×C4×C79—21no—
561C22×C4×C79—21no—
562C22×C4×C79—21no—
563C22×C4×C79—21no—
564C22×C4×C79C2×D411yescharacteristic
565C22×C4×C79C2×D411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569Q16×C79—22no—
570Q16×C79—22no—
571Q16×C79—41no—
572Q16×C79—41no—
573SD16×C79—22no—
574SD16×C79—22no—
575SD16×C79—22no—
576SD16×C79—22no—
577SD16×C79—41no—
578SD16×C79—41no—
579SD16×C79—41no—
580SD16×C79—41no—
581SD16×C79—41no—
582SD16×C79—41no—
583SD16×C79—41no—
584SD16×C79—41no—
585D8×C79—41no—
586D8×C79—41no—
587D8×C79—41no—
588D8×C79—41no—
589D8×C79—41no—
590D8×C79—41no—
591D8×C79—41no—
592D8×C79—41no—
593M16×C79—41no—
594M16×C79—41no—
595M16×C79—41no—
596M16×C79—41no—
597C2×C8×C79—41no—
598C2×C8×C79—41no—
599C2×C8×C79C2411yescharacteristic
600C2×C8×C79C2411yescharacteristic
601C2×C8×C79C2411yescharacteristic
602C2×C8×C79C2411yescharacteristic
603C2×C8×C79C2411yescharacteristic
604C2×C8×C79C2411yescharacteristic
605C2×C8×C79C2411yescharacteristic
606C2×C8×C79C2411yescharacteristic
607C4⋊C4×C79—21no—
608C4⋊C4×C79—21no—
609C4⋊C4×C79—21no—
610C4⋊C4×C79—21no—
611C4⋊C4×C79—21no—
612C4⋊C4×C79—21no—
613C4⋊C4×C79—21no—
614C4⋊C4×C79—21no—
615C4⋊C4×C79—21no—
616C4⋊C4×C79—21no—
617C4⋊C4×C79—21no—
618C4⋊C4×C79—21no—
619C4⋊C4×C79—21no—
620C4⋊C4×C79—21no—
621C4⋊C4×C79—21no—
622C4⋊C4×C79—21no—
623C4⋊C4×C79—21no—
624C4⋊C4×C79—21no—
625C4⋊C4×C79—21no—
626C4⋊C4×C79C2×D411yescharacteristic
627C4⋊C4×C79C2×D411yescharacteristic
628C4⋊C4×C79C2×D411yescharacteristic
629C4⋊C4×C79C2×D411yescharacteristic
630C4⋊C4×C79C2×D411yescharacteristic
631C4⋊C4×C79C2×D411yescharacteristic
632C4⋊C4×C79C2×D411yescharacteristic
633C4⋊C4×C79C2×D411yescharacteristic
634C4⋊C4×C79C2×D411yescharacteristic
635C4⋊C4×C79C2×D411yescharacteristic
636C4⋊C4×C79C2411yescharacteristic
637C4⋊C4×C79C2411yescharacteristic
638C4⋊C4×C79C2411yescharacteristic
639C4⋊C4×C79C2411yescharacteristic
640C4⋊C4×C79C2411yescharacteristic
641C4⋊C4×C79C2411yescharacteristic
642C22⋊C4×C79—21no—
643C22⋊C4×C79—21no—
644C22⋊C4×C79—21no—
645C22⋊C4×C79—21no—
646C22⋊C4×C79—21no—
647C22⋊C4×C79—21no—
648C22⋊C4×C79—21no—
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79—21no—
668C22⋊C4×C79—21no—
669C22⋊C4×C79—21no—
670C22⋊C4×C79—21no—
671C22⋊C4×C79—21no—
672C22⋊C4×C79—21no—
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79—21no—
679C22⋊C4×C79—21no—
680C22⋊C4×C79C2×D411yescharacteristic
681C22⋊C4×C79C2×D411yescharacteristic
682C22⋊C4×C79C2×D411yescharacteristic
683C22⋊C4×C79C2×D411yescharacteristic
684C22⋊C4×C79C2×D411yescharacteristic
685C22⋊C4×C79C2×D411yescharacteristic
686C22⋊C4×C79C2×D411yescharacteristic
687C22⋊C4×C79C2×D411yescharacteristic
688C22⋊C4×C79C2×D411yescharacteristic
689C22⋊C4×C79C2×D411yescharacteristic
690C42×C79—21no—
691C42×C79—21no—
692C42×C79—21no—
693C42×C79—21no—
694C42×C79—21no—
695C42×C79—21no—
696C42×C79—21no—
697C42×C79—21no—
698C42×C79—21no—
699C42×C79—21no—
700C42×C79C2×D411yescharacteristic
701C42×C79C2×D411yescharacteristic
702C42×C79C2411yescharacteristic
703C42×C79C2411yescharacteristic
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—42no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79—81no—
716C23×C79—81no—
717C23×C79—81no—
718C23×C79—81no—
719C23×C79—81no—
720C23×C79—81no—
721C23×C79C22×D411yescharacteristic
722C23×C79C22×D411yescharacteristic
723C23×C79C22×D411yescharacteristic
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728Q8×C79—21no—
729Q8×C79—21no—
730Q8×C79—21no—
731Q8×C79—41no—
732Q8×C79—42no—
733Q8×C79—81no—
734Q8×C79—81no—
735Q8×C79—81no—
736Q8×C79H(5,𝔽2)12yes—
737D4×C79—21no—
738D4×C79—21no—
739D4×C79—21no—
740D4×C79—21no—
741D4×C79—21no—
742D4×C79—21no—
743D4×C79—21no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—41no—
750D4×C79—41no—
751D4×C79—41no—
752D4×C79—42no—
753D4×C79—42no—
754D4×C79—42no—
755D4×C79—42no—
756D4×C79—81no—
757D4×C79—81no—
758D4×C79—81no—
759D4×C79—81no—
760D4×C79—81no—
761D4×C79—81no—
762D4×C79—81no—
763D4×C79—81no—
764D4×C79—81no—
765D4×C79—81no—
766D4×C79—81no—
767D4×C79—81no—
768D4×C79—81no—
769D4×C79—81no—
770D4×C79—81no—
771D4×C79—81no—
772D4×C79—81no—
773D4×C79—81no—
774D4×C79—81no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—41no—
792C2×C4×C79—41no—
793C2×C4×C79—42no—
794C2×C4×C79—42no—
795C2×C4×C79—42no—
796C2×C4×C79—81no—
797C2×C4×C79—81no—
798C2×C4×C79—81no—
799C2×C4×C79—81no—
800C2×C4×C79—81no—
801C2×C4×C79—81no—
802C2×C4×C79—81no—
803C2×C4×C79—81no—
804C2×C4×C79—81no—
805C2×C4×C79—81no—
806C2×C4×C79—81no—
807C2×C4×C79—81no—
808C2×C4×C79C22×D411yescharacteristic
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C22×D411yescharacteristic
811C2×C4×C79C22×D411yescharacteristic
812C2×C4×C79C22×D411yescharacteristic
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C22×D411yescharacteristic
817C2×C4×C79C22×D411yescharacteristic
818C2×C4×C79C22×D411yescharacteristic
819C2×C4×C79C2511yescharacteristic
820C8×C79—21no—
821C8×C79—21no—
822C8×C79—21no—
823C8×C79—21no—
824C8×C79—21no—
825C8×C79—21no—
826C8×C79—21no—
827C8×C79—21no—
828C22×C79—21no—
829C22×C79—21no—
830C22×C79—21no—
831C22×C79—21no—
832C22×C79—21no—
833C22×C79—21no—
834C22×C79—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—41no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—41no—
855C22×C79—162no—
856C22×C79—162no—
857C22×C79—162no—
858C22×C79C23×D411yescharacteristic
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—21no—
864C4×C79—21no—
865C4×C79—21no—
866C4×C79—21no—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—22no—
871C4×C79—41no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79—41no—
877C4×C79—41no—
878C4×C79—41no—
879C4×C79—41no—
880C4×C79C2×H(5,𝔽2)11yescharacteristic
881C4×C79#58511yescharacteristic
882#62049C7911yesmaximal, characteristic, direct product factor, Sylow
883C2×C79—41no—
884C2×C79—41no—
885C2×C79—41no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79—81no—
889C2×C79—81no—
890C2×C79—81no—
891C2×C79—81no—
892C2×C79#348811yescharacteristic
893C2×C79#358411yescharacteristic
894C2×C79#358511yescharacteristic
895#3558C2×C7911yescharacteristic, complemented
896#3524C2×C7911yescharacteristic, complemented
897#3403C2×C7911yescharacteristic, complemented
898#3396C2×C7911yescharacteristic, complemented
899#3371C2×C7911yescharacteristic, complemented
900#3365C2×C7911yescharacteristic, complemented
901#3327C2×C7911yescharacteristic, complemented
902#3325C2×C7911yescharacteristic, complemented
903#3322C2×C7911yescharacteristic, complemented
904#3321C2×C7911yescharacteristic, complemented
905#3310C2×C7911yescharacteristic, complemented
906#3297C2×C7911yescharacteristic, complemented
907#3282C2×C7911yescharacteristic, complemented
908#3277C2×C7911yescharacteristic, complemented
909#3275C2×C7911yescharacteristic, complemented
910#3274C2×C7911yescharacteristic, complemented
911#3271C2×C7911yescharacteristic, complemented
912#3265C2×C7911yescharacteristic, complemented
913#3263C2×C7911yescharacteristic, complemented
914#3257C2×C7911yescharacteristic, complemented
915#3251C2×C7911yescharacteristic, complemented
916#3224C2×C7911yescharacteristic, complemented
917#3220C2×C7911yescharacteristic, complemented
918#3211C2×C7911yescharacteristic, complemented
919#3124C2×C7911yescharacteristic, complemented
920#3121C2×C7911yescharacteristic, complemented
921#3106C2×C7911yescharacteristic, complemented
922#3045C2×C7911yescharacteristic, complemented
923#3043C2×C7911yescharacteristic, complemented
924#3040C2×C7911yescharacteristic, complemented
925#2993C2×C7911yescharacteristic, complemented
926C79#6204911yescharacteristic, direct product factor, Sylow
927C2×#137C22×C7911yescharacteristic, complemented
928C2×#137C22×C7911yescharacteristic, complemented
929C2×AGL(1,ℤ/8)C22×C7911yescharacteristic
930C2×AGL(1,ℤ/8)C22×C7911yescharacteristic, complemented
931C2×#135C22×C7911yescharacteristic, complemented
932C22×SD16C22×C7911yescharacteristic, complemented
933#562—21no—
934H(3,𝔽4)—21no—
935#559—21no—
936#559C22×C7911yescharacteristic
937#559C22×C7911yescharacteristic
938#559C22×C7911yescharacteristic, complemented
939#557C22×C7911yescharacteristic, complemented
940#555—21no—
941#555C22×C7911yescharacteristic, complemented
942#553—21no—
943#553C22×C7911yescharacteristic, complemented
944#552—21no—
945#552C22×C7911yescharacteristic, complemented
946#550C22×C7911yescharacteristic, complemented
947#548C22×C7911yescharacteristic
948#548C22×C7911yescharacteristic
949#548C22×C7911yescharacteristic, complemented
950#548C22×C7911yescharacteristic, complemented
951#546—21no—
952#546—21no—
953#546C22×C7911yescharacteristic
954#546C22×C7911yescharacteristic
955D42C22×C7911yescharacteristic
956D42C22×C7911yescharacteristic
957#542—21no—
958#542C22×C7911yescharacteristic
959#542C22×C7911yescharacteristic
960#542C22×C7911yescharacteristic, complemented
961#540—21no—
962#540C22×C7911yescharacteristic, complemented
963#538—21no—
964#538—21no—
965#538—21no—
966#535C22×C7911yescharacteristic
967#535C22×C7911yescharacteristic
968#534—21no—
969#532C22×C7911yescharacteristic
970#529—21no—
971#529—21no—
972#529C22×C7911yescharacteristic
973#529C22×C7911yescharacteristic, complemented
974C2×#124C22×C7911yescharacteristic
975#520C22×C7911yescharacteristic, complemented
976#519C22×C7911yescharacteristic, complemented
977C4×#41C22×C7911yescharacteristic, complemented
978#496C22×C7911yescharacteristic
979#496C22×C7911yescharacteristic, complemented
980#495C22×C7911yescharacteristic, complemented
981#495C22×C7911yescharacteristic, complemented
982#495C22×C7911yescharacteristic, complemented
983#493C22×C7911yescharacteristic
984#490C22×C7911yescharacteristic
985#489C22×C7911yescharacteristic, complemented
986#488C22×C7911yescharacteristic, complemented
987#488C22×C7911yescharacteristic, complemented
988#488C22×C7911yescharacteristic, complemented
989#486C22×C7911yescharacteristic
990#485C22×C7911yescharacteristic, complemented
991#484C22×C7911yescharacteristic, complemented
992#482C22×C7911yescharacteristic
993#482C22×C7911yescharacteristic, complemented
994#482C22×C7911yescharacteristic, complemented
995#480C22×C7911yescharacteristic
996#479C22×C7911yescharacteristic, complemented
997#478C22×C7911yescharacteristic, complemented
998#478C22×C7911yescharacteristic, complemented
999#478C22×C7911yescharacteristic, complemented
1000#477C22×C7911yescharacteristic, complemented
1001#476C22×C7911yescharacteristic, complemented
1002#476C22×C7911yescharacteristic, complemented
1003#475C22×C7911yescharacteristic, complemented
1004#475C22×C7911yescharacteristic, complemented
1005#474C22×C7911yescharacteristic, complemented
1006#470C22×C7911yescharacteristic, complemented
1007#469C22×C7911yescharacteristic
1008#469C22×C7911yescharacteristic
1009#469C22×C7911yescharacteristic, complemented
1010#469C22×C7911yescharacteristic, complemented
1011#468C22×C7911yescharacteristic, complemented
1012#468C22×C7911yescharacteristic, complemented
1013#468C22×C7911yescharacteristic, complemented
1014#466C22×C7911yescharacteristic
1015#465C22×C7911yescharacteristic
1016#465C22×C7911yescharacteristic, complemented
1017#465C22×C7911yescharacteristic, complemented
1018#464C22×C7911yescharacteristic, complemented
1019#464C22×C7911yescharacteristic, complemented
1020#464C22×C7911yescharacteristic, complemented
1021#464C22×C7911yescharacteristic, complemented
1022#464C22×C7911yescharacteristic, complemented
1023#464C22×C7911yescharacteristic, complemented
1024#464C22×C7911yescharacteristic, complemented
1025#464C22×C7911yescharacteristic, complemented
1026#464C22×C7911yescharacteristic, complemented
1027#464C22×C7911yescharacteristic, complemented
1028#463C22×C7911yescharacteristic, complemented
1029#463C22×C7911yescharacteristic, complemented
1030#463C22×C7911yescharacteristic, complemented
1031#463C22×C7911yescharacteristic, complemented
1032#463C22×C7911yescharacteristic, complemented
1033#463C22×C7911yescharacteristic, complemented
1034#463C22×C7911yescharacteristic, complemented
1035#463C22×C7911yescharacteristic, complemented
1036#463C22×C7911yescharacteristic, complemented
1037#463C22×C7911yescharacteristic, complemented
1038#460C22×C7911yescharacteristic
1039#460C22×C7911yescharacteristic
1040#460C22×C7911yescharacteristic
1041#460C22×C7911yescharacteristic, complemented
1042#460C22×C7911yescharacteristic, complemented
1043#460C22×C7911yescharacteristic, complemented
1044#459C22×C7911yescharacteristic
1045#459C22×C7911yescharacteristic, complemented
1046#459C22×C7911yescharacteristic, complemented
1047#459C22×C7911yescharacteristic, complemented
1048#452C22×C7911yescharacteristic, complemented
1049#452C22×C7911yescharacteristic, complemented
1050#451C22×C7911yescharacteristic, complemented
1051#451C22×C7911yescharacteristic, complemented
1052#450C22×C7911yescharacteristic
1053#450C22×C7911yescharacteristic, complemented
1054#449C22×C7911yescharacteristic
1055#449C22×C7911yescharacteristic, complemented
1056#449C22×C7911yescharacteristic, complemented
1057#449C22×C7911yescharacteristic, complemented
1058#449C22×C7911yescharacteristic, complemented
1059#449C22×C7911yescharacteristic, complemented
1060#448C22×C7911yescharacteristic
1061#448C22×C7911yescharacteristic, complemented
1062#447C22×C7911yescharacteristic
1063#447C22×C7911yescharacteristic, complemented
1064#447C22×C7911yescharacteristic, complemented
1065#447C22×C7911yescharacteristic, complemented
1066#446C22×C7911yescharacteristic, complemented
1067C8×Q8C22×C7911yescharacteristic, complemented
1068#441C22×C7911yescharacteristic, complemented
1069#440C22×C7911yescharacteristic, complemented
1070#440C22×C7911yescharacteristic, complemented
1071#440C22×C7911yescharacteristic, complemented
1072C4×Q16C22×C7911yescharacteristic, complemented
1073C4×Q16C22×C7911yescharacteristic, complemented
1074C4×SD16C22×C7911yescharacteristic, complemented
1075C4×SD16C22×C7911yescharacteristic, complemented
1076C4×SD16C22×C7911yescharacteristic, complemented
1077C4×D8C22×C7911yescharacteristic, complemented
1078C4×D8C22×C7911yescharacteristic, complemented
1079C4×D8C22×C7911yescharacteristic, complemented
1080#436C22×C7911yescharacteristic, complemented
1081#436C22×C7911yescharacteristic, complemented
1082#436C22×C7911yescharacteristic, complemented
1083#435C22×C7911yescharacteristic, complemented
1084#435C22×C7911yescharacteristic, complemented
1085C8×D4C22×C7911yescharacteristic, complemented
1086#433C22×C7911yescharacteristic, complemented
1087#433C22×C7911yescharacteristic, complemented
1088#431C22×C7911yescharacteristic, complemented
1089#424C22×C7911yescharacteristic, complemented
1090#424C22×C7911yescharacteristic, complemented
1091#423C22×C7911yescharacteristic, complemented
1092#419C22×C7911yescharacteristic, complemented
1093#418C22×C7911yescharacteristic
1094#418C22×C7911yescharacteristic, complemented
1095#417C22×C7911yescharacteristic, complemented
1096#416C22×C7911yescharacteristic, complemented
1097C2×#102C22×C7911yescharacteristic, complemented
1098C2×#41—21no—
1099C2×#41C23×C7911yescharacteristic
1100C2×#41C23×C7911yescharacteristic
1101C2×#41C23×C7911yescharacteristic
1102C2×#41C23×C7911yescharacteristic
1103C22×Q8C23×C7911yescharacteristic
1104C22×Q8C23×C7911yescharacteristic
1105C22×D4—21no—
1106C22×D4—21no—
1107C22×D4C23×C7911yescharacteristic
1108C22×D4C23×C7911yescharacteristic
1109C22×D4C23×C7911yescharacteristic
1110#137—42no—
1111#137—42no—
1112AGL(1,ℤ/8)—42no—
1113AGL(1,ℤ/8)—42no—
1114#135—42no—
1115C2×Q16C23×C7911yescharacteristic
1116C2×Q16C23×C7911yescharacteristic
1117C2×Q16C23×C7911yescharacteristic
1118C2×Q16C23×C7911yescharacteristic
1119C2×SD16—42no—
1120C2×SD16C23×C7911yescharacteristic
1121C2×SD16C23×C7911yescharacteristic
1122C2×SD16C23×C7911yescharacteristic
1123C2×SD16C23×C7911yescharacteristic
1124C2×SD16C23×C7911yescharacteristic
1125C2×SD16C23×C7911yescharacteristic
1126C2×SD16C23×C7911yescharacteristic
1127C2×SD16C23×C7911yescharacteristic
1128C2×SD16C23×C7911yescharacteristic
1129C2×SD16C23×C7911yescharacteristic
1130C2×SD16C23×C7911yescharacteristic
1131C2×SD16C23×C7911yescharacteristic
1132C2×D8C23×C7911yescharacteristic
1133C2×D8C23×C7911yescharacteristic
1134C2×D8C23×C7911yescharacteristic
1135C2×D8C23×C7911yescharacteristic
1136C2×D8C23×C7911yescharacteristic
1137C2×D8C23×C7911yescharacteristic
1138C2×D8C23×C7911yescharacteristic
1139C2×D8C23×C7911yescharacteristic
1140C2×M16C23×C7911yescharacteristic
1141C2×M16C23×C7911yescharacteristic
1142C2×M16C23×C7911yescharacteristic
1143C2×M16C23×C7911yescharacteristic
1144C22×C8C23×C7911yescharacteristic
1145C22×C8C23×C7911yescharacteristic
1146C4⋊Q8—21no—
1147C4⋊Q8C23×C7911yescharacteristic
1148C4⋊Q8C23×C7911yescharacteristic
1149#127—21no—
1150#127C23×C7911yescharacteristic
1151#127C23×C7911yescharacteristic
1152#127C23×C7911yescharacteristic
1153#127C23×C7911yescharacteristic
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126D4×C7911yescharacteristic
1161#126D4×C7911yescharacteristic
1162#125—21no—
1163#125—21no—
1164#125—21no—
1165#125D4×C7911yescharacteristic
1166#125C23×C7911yescharacteristic
1167#125C23×C7911yescharacteristic
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124—21no—
1183#124D4×C7911yescharacteristic
1184#124C23×C7911yescharacteristic
1185#124C23×C7911yescharacteristic
1186#124C23×C7911yescharacteristic
1187#124C23×C7911yescharacteristic
1188#124C23×C7911yescharacteristic
1189#124C23×C7911yescharacteristic
1190#124C23×C7911yescharacteristic
1191#124C23×C7911yescharacteristic
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123D4×C7911yescharacteristic
1209#123D4×C7911yescharacteristic
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8D4×C7911yescharacteristic
1218C22⋊Q8C23×C7911yescharacteristic
1219C22⋊Q8C23×C7911yescharacteristic
1220C22⋊Q8C23×C7911yescharacteristic
1221C22⋊Q8C23×C7911yescharacteristic
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121D4×C7911yescharacteristic
1242#121C23×C7911yescharacteristic
1243#121C23×C7911yescharacteristic
1244#121C23×C7911yescharacteristic
1245#121C23×C7911yescharacteristic
1246#121C23×C7911yescharacteristic
1247#121C23×C7911yescharacteristic
1248#121C23×C7911yescharacteristic
1249#121C23×C7911yescharacteristic
1250#120—21no—
1251#120—21no—
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260C4×Q8—21no—
1261C4×Q8—21no—
1262C4×Q8—21no—
1263C4×Q8C23×C7911yescharacteristic
1264C4×Q8C23×C7911yescharacteristic
1265C4×Q8C23×C7911yescharacteristic
1266C4×Q8C23×C7911yescharacteristic
1267C4×Q8C23×C7911yescharacteristic
1268C4×Q8C23×C7911yescharacteristic
1269C4×Q8C23×C7911yescharacteristic
1270C4×Q8C23×C7911yescharacteristic
1271C4×Q8C23×C7911yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4—21no—
1287C4×D4C23×C7911yescharacteristic
1288C4×D4C23×C7911yescharacteristic
1289C4×D4C23×C7911yescharacteristic
1290C4×D4C23×C7911yescharacteristic
1291C4×D4C23×C7911yescharacteristic
1292C4×D4C23×C7911yescharacteristic
1293C4×D4C23×C7911yescharacteristic
1294C4×D4C23×C7911yescharacteristic
1295C4×D4C23×C7911yescharacteristic
1296C4×D4C23×C7911yescharacteristic
1297C4×D4C23×C7911yescharacteristic
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117—21no—
1305#117C23×C7911yescharacteristic
1306#117C23×C7911yescharacteristic
1307#117C23×C7911yescharacteristic
1308#117C23×C7911yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4C23×C7911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C42—21no—
1316C2×C42C23×C7911yescharacteristic
1317#107C23×C7911yescharacteristic
1318#107C23×C7911yescharacteristic
1319#107C23×C7911yescharacteristic
1320#107C23×C7911yescharacteristic
1321#106C23×C7911yescharacteristic
1322#106C23×C7911yescharacteristic
1323#106C23×C7911yescharacteristic
1324#106C23×C7911yescharacteristic
1325C4⋊C8C23×C7911yescharacteristic
1326C4⋊C8C23×C7911yescharacteristic
1327C4⋊C8C23×C7911yescharacteristic
1328C4⋊C8C23×C7911yescharacteristic
1329C4⋊C8C23×C7911yescharacteristic
1330C4⋊C8C23×C7911yescharacteristic
1331C4⋊C8C23×C7911yescharacteristic
1332C4⋊C8C23×C7911yescharacteristic
1333C4⋊C8C23×C7911yescharacteristic
1334C4⋊C8C23×C7911yescharacteristic
1335#103C23×C7911yescharacteristic
1336#103C23×C7911yescharacteristic
1337#103C23×C7911yescharacteristic
1338#103C23×C7911yescharacteristic
1339#103C23×C7911yescharacteristic
1340#103C23×C7911yescharacteristic
1341#103C23×C7911yescharacteristic
1342#103C23×C7911yescharacteristic
1343#103C23×C7911yescharacteristic
1344#103C23×C7911yescharacteristic
1345#103C23×C7911yescharacteristic
1346#103C23×C7911yescharacteristic
1347#102C23×C7911yescharacteristic
1348#102C23×C7911yescharacteristic
1349#102C23×C7911yescharacteristic
1350#102C23×C7911yescharacteristic
1351#102C23×C7911yescharacteristic
1352#102C23×C7911yescharacteristic
1353#102C23×C7911yescharacteristic
1354#102C23×C7911yescharacteristic
1355#102C23×C7911yescharacteristic
1356#102C23×C7911yescharacteristic
1357#102C23×C7911yescharacteristic
1358#102C23×C7911yescharacteristic
1359#102C23×C7911yescharacteristic
1360#102C23×C7911yescharacteristic
1361#102C23×C7911yescharacteristic
1362#102C23×C7911yescharacteristic
1363#102C23×C7911yescharacteristic
1364#102C23×C7911yescharacteristic
1365#102C23×C7911yescharacteristic
1366#102C23×C7911yescharacteristic
1367C22⋊C8C23×C7911yescharacteristic
1368C22⋊C8C23×C7911yescharacteristic
1369C22⋊C8C23×C7911yescharacteristic
1370C22⋊C8C23×C7911yescharacteristic
1371C22⋊C8C23×C7911yescharacteristic
1372C22⋊C8C23×C7911yescharacteristic
1373#97C23×C7911yescharacteristic
1374#97C23×C7911yescharacteristic
1375C4×C8C23×C7911yescharacteristic
1376C4×C8C23×C7911yescharacteristic
1377C4×C8C23×C7911yescharacteristic
1378C4×C8C23×C7911yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—22no—
1383#41—22no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—82no—
1391C2×Q8—21no—
1392C2×Q8—21no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—22no—
1396C2×Q8—41no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8C2×D4×C7911yescharacteristic
1400C2×Q8C24×C7911yescharacteristic
1401C2×Q8C24×C7911yescharacteristic
1402C2×Q8C24×C7911yescharacteristic
1403C2×Q8C24×C7911yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—82no—
1434C2×D4—82no—
1435C2×D4C2×D4×C7911yescharacteristic
1436C2×D4C2×D4×C7911yescharacteristic
1437C2×D4C2×D4×C7911yescharacteristic
1438C2×D4C24×C7911yescharacteristic
1439C2×D4C24×C7911yescharacteristic
1440C2×D4C24×C7911yescharacteristic
1441C2×D4C24×C7911yescharacteristic
1442C2×D4C24×C7911yescharacteristic
1443C2×D4C24×C7911yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4C2×D4×C7911yescharacteristic
1460C22×C4C2×D4×C7911yescharacteristic
1461C22×C4C24×C7911yescharacteristic
1462C22×C4C24×C7911yescharacteristic
1463C22×C4C24×C7911yescharacteristic
1464Q16—22no—
1465Q16—22no—
1466Q16—41no—
1467Q16—41no—
1468SD16—22no—
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480D8—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488M16—41no—
1489M16—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C24×C7911yescharacteristic
1495C2×C8C24×C7911yescharacteristic
1496C2×C8C24×C7911yescharacteristic
1497C2×C8C24×C7911yescharacteristic
1498C2×C8C24×C7911yescharacteristic
1499C2×C8C24×C7911yescharacteristic
1500C2×C8C24×C7911yescharacteristic
1501C2×C8C24×C7911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4C2×D4×C7911yescharacteristic
1522C4⋊C4C2×D4×C7911yescharacteristic
1523C4⋊C4C2×D4×C7911yescharacteristic
1524C4⋊C4C2×D4×C7911yescharacteristic
1525C4⋊C4C2×D4×C7911yescharacteristic
1526C4⋊C4C2×D4×C7911yescharacteristic
1527C4⋊C4C2×D4×C7911yescharacteristic
1528C4⋊C4C2×D4×C7911yescharacteristic
1529C4⋊C4C2×D4×C7911yescharacteristic
1530C4⋊C4C2×D4×C7911yescharacteristic
1531C4⋊C4C24×C7911yescharacteristic
1532C4⋊C4C24×C7911yescharacteristic
1533C4⋊C4C24×C7911yescharacteristic
1534C4⋊C4C24×C7911yescharacteristic
1535C4⋊C4C24×C7911yescharacteristic
1536C4⋊C4C24×C7911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4C2×D4×C7911yescharacteristic
1576C22⋊C4C2×D4×C7911yescharacteristic
1577C22⋊C4C2×D4×C7911yescharacteristic
1578C22⋊C4C2×D4×C7911yescharacteristic
1579C22⋊C4C2×D4×C7911yescharacteristic
1580C22⋊C4C2×D4×C7911yescharacteristic
1581C22⋊C4C2×D4×C7911yescharacteristic
1582C22⋊C4C2×D4×C7911yescharacteristic
1583C22⋊C4C2×D4×C7911yescharacteristic
1584C22⋊C4C2×D4×C7911yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42C2×D4×C7911yescharacteristic
1596C42C2×D4×C7911yescharacteristic
1597C42C24×C7911yescharacteristic
1598C42C24×C7911yescharacteristic
1599C42C24×C7911yescharacteristic
1600C42C24×C7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—42no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23C22×D4×C7911yescharacteristic
1617C23C22×D4×C7911yescharacteristic
1618C23C22×D4×C7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—41no—
1627Q8—42no—
1628Q8—81no—
1629Q8—81no—
1630Q8—81no—
1631Q8H(5,𝔽2)×C7912yes—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—41no—
1645D4—41no—
1646D4—41no—
1647D4—42no—
1648D4—42no—
1649D4—42no—
1650D4—42no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4C22×D4×C7911yescharacteristic
1704C2×C4C22×D4×C7911yescharacteristic
1705C2×C4C22×D4×C7911yescharacteristic
1706C2×C4C22×D4×C7911yescharacteristic
1707C2×C4C22×D4×C7911yescharacteristic
1708C2×C4C22×D4×C7911yescharacteristic
1709C2×C4C22×D4×C7911yescharacteristic
1710C2×C4C22×D4×C7911yescharacteristic
1711C2×C4C22×D4×C7911yescharacteristic
1712C2×C4C22×D4×C7911yescharacteristic
1713C2×C4C22×D4×C7911yescharacteristic
1714C2×C4C25×C7911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—162no—
1751C22—162no—
1752C22—162no—
1753C22C23×D4×C7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×H(5,𝔽2)×C7911yescharacteristic
1776C4#585×C7911yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—81no—
1785C2—81no—
1786C2C79×#348811yescharacteristic
1787C2C79×#358411yescharacteristic
1788C2C79×#358511yescharacteristic
subgroupG/H
center, socleC22×C79C23×D4
commutator, Frattini, cosocleC2×C4C25×C79
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C79 ◁ #529×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#3558C2semidirect
2. C79×#3524C2semidirect
3. C79×#3403C2semidirect
4. C79×#3396C2semidirect
5. C79×#3371C2semidirect
6. C79×#3365C2semidirect
7. C79×#3327C2semidirect
8. C79×#3325C2semidirect
9. C79×#3322C2semidirect
10. C79×#3321C2semidirect
11. C79×#3310C2semidirect
12. C79×#3297C2semidirect
13. C79×#3282C2semidirect
14. C79×#3277C2semidirect
15. C79×#3275C2semidirect
16. C79×#3274C2semidirect
17. C79×#3271C2semidirect
18. C79×#3265C2semidirect
19. C79×#3263C2semidirect
20. C79×#3257C2semidirect
21. C79×#3251C2semidirect
22. C79×#3224C2semidirect
23. C79×#3220C2semidirect
24. C79×#3211C2semidirect
25. C79×#3124C2semidirect
26. C79×#3121C2semidirect
27. C79×#3106C2semidirect
28. C79×#3045C2semidirect
29. C79×#3043C2semidirect
30. C79×#3040C2semidirect
31. C79×#2993C2semidirect
32. C2×#137×C79C22semidirect
33. C2×#137×C79C22semidirect
35. C2×AGL(1,ℤ/8)×C79C22semidirect
36. C2×#135×C79C22semidirect
37. C22×SD16×C79C22semidirect
43. #559×C79C22semidirect
44. #557×C79C22semidirect
46. #555×C79C22semidirect
48. #553×C79C22semidirect
50. #552×C79C22semidirect
51. #550×C79C22semidirect
54. #548×C79C22semidirect
55. #548×C79C22semidirect
65. #542×C79C22semidirect
67. #540×C79C22semidirect
78. #529×C79C22semidirect
80. #520×C79C22semidirect
81. #519×C79C22semidirect
82. C4×#41×C79C22semidirect
84. #496×C79C22semidirect
85. #495×C79C22semidirect
86. #495×C79C22semidirect
87. #495×C79C22semidirect
90. #489×C79C22semidirect
91. #488×C79C22semidirect
92. #488×C79C22semidirect
93. #488×C79C22semidirect
95. #485×C79C22semidirect
96. #484×C79C22semidirect
98. #482×C79C22semidirect
99. #482×C79C22semidirect
101. #479×C79C22semidirect
102. #478×C79C22semidirect
103. #478×C79C22semidirect
104. #478×C79C22semidirect
105. #477×C79C22semidirect
106. #476×C79C22semidirect
107. #476×C79C22semidirect
108. #475×C79C22semidirect
109. #475×C79C22semidirect
110. #474×C79C22semidirect
111. #470×C79C22semidirect
114. #469×C79C22semidirect
115. #469×C79C22semidirect
116. #468×C79C22semidirect
117. #468×C79C22semidirect
118. #468×C79C22semidirect
121. #465×C79C22semidirect
122. #465×C79C22semidirect
123. #464×C79C22semidirect
124. #464×C79C22semidirect
125. #464×C79C22semidirect
126. #464×C79C22semidirect
127. #464×C79C22semidirect
128. #464×C79C22semidirect
129. #464×C79C22semidirect
130. #464×C79C22semidirect
131. #464×C79C22semidirect
132. #464×C79C22semidirect
133. #463×C79C22semidirect
134. #463×C79C22semidirect
135. #463×C79C22semidirect
136. #463×C79C22semidirect
137. #463×C79C22semidirect
138. #463×C79C22semidirect
139. #463×C79C22semidirect
140. #463×C79C22semidirect
141. #463×C79C22semidirect
142. #463×C79C22semidirect
146. #460×C79C22semidirect
147. #460×C79C22semidirect
148. #460×C79C22semidirect
150. #459×C79C22semidirect
151. #459×C79C22semidirect
152. #459×C79C22semidirect
153. #452×C79C22semidirect
154. #452×C79C22semidirect
155. #451×C79C22semidirect
156. #451×C79C22semidirect
158. #450×C79C22semidirect
160. #449×C79C22semidirect
161. #449×C79C22semidirect
162. #449×C79C22semidirect
163. #449×C79C22semidirect
164. #449×C79C22semidirect
166. #448×C79C22semidirect
168. #447×C79C22semidirect
169. #447×C79C22semidirect
170. #447×C79C22semidirect
171. #446×C79C22semidirect
172. C8×Q8×C79C22semidirect
173. #441×C79C22semidirect
174. #440×C79C22semidirect
175. #440×C79C22semidirect
176. #440×C79C22semidirect
177. C4×Q16×C79C22semidirect
178. C4×Q16×C79C22semidirect
179. C4×SD16×C79C22semidirect
180. C4×SD16×C79C22semidirect
181. C4×SD16×C79C22semidirect
182. C4×D8×C79C22semidirect
183. C4×D8×C79C22semidirect
184. C4×D8×C79C22semidirect
185. #436×C79C22semidirect
186. #436×C79C22semidirect
187. #436×C79C22semidirect
188. #435×C79C22semidirect
189. #435×C79C22semidirect
190. C8×D4×C79C22semidirect
191. #433×C79C22semidirect
192. #433×C79C22semidirect
193. #431×C79C22semidirect
194. #424×C79C22semidirect
195. #424×C79C22semidirect
196. #423×C79C22semidirect
197. #419×C79C22semidirect
199. #418×C79C22semidirect
200. #417×C79C22semidirect
201. #416×C79C22semidirect
202. C2×#102×C79C22semidirect
882. #62049C79direct (N × H)
895. #3558C2×C79semidirect
896. #3524C2×C79semidirect
897. #3403C2×C79semidirect
898. #3396C2×C79semidirect
899. #3371C2×C79semidirect
900. #3365C2×C79semidirect
901. #3327C2×C79semidirect
902. #3325C2×C79semidirect
903. #3322C2×C79semidirect
904. #3321C2×C79semidirect
905. #3310C2×C79semidirect
906. #3297C2×C79semidirect
907. #3282C2×C79semidirect
908. #3277C2×C79semidirect
909. #3275C2×C79semidirect
910. #3274C2×C79semidirect
911. #3271C2×C79semidirect
912. #3265C2×C79semidirect
913. #3263C2×C79semidirect
914. #3257C2×C79semidirect
915. #3251C2×C79semidirect
916. #3224C2×C79semidirect
917. #3220C2×C79semidirect
918. #3211C2×C79semidirect
919. #3124C2×C79semidirect
920. #3121C2×C79semidirect
921. #3106C2×C79semidirect
922. #3045C2×C79semidirect
923. #3043C2×C79semidirect
924. #3040C2×C79semidirect
925. #2993C2×C79semidirect
926. C79#62049direct (N × H)
927. C2×#137C22×C79semidirect
928. C2×#137C22×C79semidirect
930. C2×AGL(1,ℤ/8)C22×C79semidirect
931. C2×#135C22×C79semidirect
932. C22×SD16C22×C79semidirect
938. #559C22×C79semidirect
939. #557C22×C79semidirect
941. #555C22×C79semidirect
943. #553C22×C79semidirect
945. #552C22×C79semidirect
946. #550C22×C79semidirect
949. #548C22×C79semidirect
950. #548C22×C79semidirect
960. #542C22×C79semidirect
962. #540C22×C79semidirect
973. #529C22×C79semidirect
975. #520C22×C79semidirect
976. #519C22×C79semidirect
977. C4×#41C22×C79semidirect
979. #496C22×C79semidirect
980. #495C22×C79semidirect
981. #495C22×C79semidirect
982. #495C22×C79semidirect
985. #489C22×C79semidirect
986. #488C22×C79semidirect
987. #488C22×C79semidirect
988. #488C22×C79semidirect
990. #485C22×C79semidirect
991. #484C22×C79semidirect
993. #482C22×C79semidirect
994. #482C22×C79semidirect
996. #479C22×C79semidirect
997. #478C22×C79semidirect
998. #478C22×C79semidirect
999. #478C22×C79semidirect
1000. #477C22×C79semidirect
1001. #476C22×C79semidirect
1002. #476C22×C79semidirect
1003. #475C22×C79semidirect
1004. #475C22×C79semidirect
1005. #474C22×C79semidirect
1006. #470C22×C79semidirect
1009. #469C22×C79semidirect
1010. #469C22×C79semidirect
1011. #468C22×C79semidirect
1012. #468C22×C79semidirect
1013. #468C22×C79semidirect
1016. #465C22×C79semidirect
1017. #465C22×C79semidirect
1018. #464C22×C79semidirect
1019. #464C22×C79semidirect
1020. #464C22×C79semidirect
1021. #464C22×C79semidirect
1022. #464C22×C79semidirect
1023. #464C22×C79semidirect
1024. #464C22×C79semidirect
1025. #464C22×C79semidirect
1026. #464C22×C79semidirect
1027. #464C22×C79semidirect
1028. #463C22×C79semidirect
1029. #463C22×C79semidirect
1030. #463C22×C79semidirect
1031. #463C22×C79semidirect
1032. #463C22×C79semidirect
1033. #463C22×C79semidirect
1034. #463C22×C79semidirect
1035. #463C22×C79semidirect
1036. #463C22×C79semidirect
1037. #463C22×C79semidirect
1041. #460C22×C79semidirect
1042. #460C22×C79semidirect
1043. #460C22×C79semidirect
1045. #459C22×C79semidirect
1046. #459C22×C79semidirect
1047. #459C22×C79semidirect
1048. #452C22×C79semidirect
1049. #452C22×C79semidirect
1050. #451C22×C79semidirect
1051. #451C22×C79semidirect
1053. #450C22×C79semidirect
1055. #449C22×C79semidirect
1056. #449C22×C79semidirect
1057. #449C22×C79semidirect
1058. #449C22×C79semidirect
1059. #449C22×C79semidirect
1061. #448C22×C79semidirect
1063. #447C22×C79semidirect
1064. #447C22×C79semidirect
1065. #447C22×C79semidirect
1066. #446C22×C79semidirect
1067. C8×Q8C22×C79semidirect
1068. #441C22×C79semidirect
1069. #440C22×C79semidirect
1070. #440C22×C79semidirect
1071. #440C22×C79semidirect
1072. C4×Q16C22×C79semidirect
1073. C4×Q16C22×C79semidirect
1074. C4×SD16C22×C79semidirect
1075. C4×SD16C22×C79semidirect
1076. C4×SD16C22×C79semidirect
1077. C4×D8C22×C79semidirect
1078. C4×D8C22×C79semidirect
1079. C4×D8C22×C79semidirect
1080. #436C22×C79semidirect
1081. #436C22×C79semidirect
1082. #436C22×C79semidirect
1083. #435C22×C79semidirect
1084. #435C22×C79semidirect
1085. C8×D4C22×C79semidirect
1086. #433C22×C79semidirect
1087. #433C22×C79semidirect
1088. #431C22×C79semidirect
1089. #424C22×C79semidirect
1090. #424C22×C79semidirect
1091. #423C22×C79semidirect
1092. #419C22×C79semidirect
1094. #418C22×C79semidirect
1095. #417C22×C79semidirect
1096. #416C22×C79semidirect
1097. C2×#102C22×C79semidirect

Maximal subgroups

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

subgroupindex
C79×#35582
C79×#35242
C79×#34032
C79×#33962
C79×#33712
C79×#33652
C79×#33272
C79×#33252
C79×#33222
C79×#33212
C79×#33102
C79×#32972
C79×#32822
C79×#32772
C79×#32752
C79×#32742
C79×#32712
C79×#32652
C79×#32632
C79×#32572
C79×#32512
C79×#32242
C79×#32202
C79×#32112
C79×#31242
C79×#31212
C79×#31062
C79×#30452
C79×#30432
C79×#30402
C79×#29932
#6204979