Finite Group Databasebeta

← C79×#34517 #34146206

Subgroups — C79×#34517 #34146206

Order 20224.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#560×C79C211yesmaximal, characteristic
2C79×#2377C211yesmaximal, characteristic, complemented
3C79×#2377C211yesmaximal, characteristic, complemented
4C79×#2376C211yesmaximal, characteristic, complemented
5C79×#2373C211yesmaximal, characteristic, complemented
6C79×#2373C211yesmaximal, characteristic, complemented
7C79×#2366C211yesmaximal, characteristic, complemented
8C79×#2364C211yesmaximal, characteristic, complemented
9C79×#2364C211yesmaximal, characteristic, complemented
10C79×#2363C211yesmaximal, characteristic, complemented
11C79×#2363C211yesmaximal, characteristic, complemented
12C79×#2359C211yesmaximal, characteristic, complemented
13C79×#2359C211yesmaximal, characteristic, complemented
14C79×#2358C211yesmaximal, characteristic, complemented
15C79×#2358C211yesmaximal, characteristic, complemented
16C79×#2358C211yesmaximal, characteristic, complemented
17C79×#2335C211yesmaximal, characteristic, complemented
18C79×#2335C211yesmaximal, characteristic, complemented
19C79×#2334C211yesmaximal, characteristic, complemented
20C79×#2334C211yesmaximal, characteristic, complemented
21C79×#2328C211yesmaximal, characteristic, complemented
22C79×#2325C211yesmaximal, characteristic, complemented
23C79×#2325C211yesmaximal, characteristic, complemented
24C79×#2324C211yesmaximal, characteristic, complemented
25C79×#2324C211yesmaximal, characteristic, complemented
26C79×#2321C211yesmaximal, characteristic, complemented
27C79×#2321C211yesmaximal, characteristic, complemented
28C79×#2321C211yesmaximal, characteristic, complemented
29C4×#123×C79C211yesmaximal, characteristic, complemented
30C4×#121×C79C211yesmaximal, characteristic, complemented
31C4×#121×C79C211yesmaximal, characteristic, complemented
32#560×C79C4116yescomplemented
33C2×#127×C79C2211yescharacteristic
34C2×#126×C79C2211yescharacteristic
35C2×#126×C79C2211yescharacteristic
36C2×#123×C79C2211yescharacteristic
37C2×#123×C79C2211yescharacteristic
38C2×#123×C79C2211yescharacteristic
39C2×#121×C79C2211yescharacteristic
40C2×#121×C79C2211yescharacteristic
41C2×#121×C79C2211yescharacteristic
42C2×#121×C79C2211yescharacteristic
43C2×#121×C79C2211yescharacteristic
44C2×#121×C79C2211yescharacteristic
45C2×#120×C79C2211yescharacteristic
46C2×#120×C79C2211yescharacteristic
47C2×#120×C79C2211yescharacteristic
48C2×C4×D4×C79C2211yescharacteristic
49C2×C4×D4×C79C2211yescharacteristic
50C2×C4×D4×C79C2211yescharacteristic
51C2×C4×D4×C79C2211yescharacteristic
52C2×C4×D4×C79C2211yescharacteristic
53C2×C4×D4×C79C2211yescharacteristic
54C2×C4×D4×C79C2211yescharacteristic
55C2×C4×D4×C79C2211yescharacteristic
56C2×C4×D4×C79C2211yescharacteristic
57C2×C4×D4×C79C2211yescharacteristic, complemented
58C2×C4×D4×C79C2211yescharacteristic, complemented
59C2×C4×D4×C79C2211yescharacteristic, complemented
60C2×#117×C79C2211yescharacteristic, complemented
61C2×#117×C79C2211yescharacteristic, complemented
62C22×C22⋊C4×C79C2211yescharacteristic
63C22×C22⋊C4×C79C2211yescharacteristic
64C22×C22⋊C4×C79C2211yescharacteristic
65C22×C42×C79C2211yescharacteristic, complemented
66#390×C79C2211yescharacteristic
67#390×C79C2211yescharacteristic
68#390×C79C2211yescharacteristic
69#390×C79C2211yescharacteristic
70#390×C79C2211yescharacteristic
71#390×C79C2211yescharacteristic
72#390×C79C2211yescharacteristic
73#390×C79C2211yescharacteristic
74#390×C79C2211yescharacteristic
75#390×C79C2211yescharacteristic, complemented
76#390×C79C2211yescharacteristic, complemented
77#390×C79C2211yescharacteristic, complemented
78#389×C79C2211yescharacteristic, complemented
79#389×C79C2211yescharacteristic, complemented
80#389×C79C2211yescharacteristic, complemented
81#389×C79C2211yescharacteristic, complemented
82#389×C79C2211yescharacteristic, complemented
83#389×C79C2211yescharacteristic, complemented
84#388×C79C2211yescharacteristic
85#388×C79C2211yescharacteristic
86#388×C79C2211yescharacteristic
87#388×C79C2211yescharacteristic
88#388×C79C2211yescharacteristic
89#388×C79C2211yescharacteristic
90#388×C79C2211yescharacteristic
91#388×C79C2211yescharacteristic
92#388×C79C2211yescharacteristic
93#388×C79C2211yescharacteristic
94#388×C79C2211yescharacteristic
95#388×C79C2211yescharacteristic
96#388×C79C2211yescharacteristic
97#388×C79C2211yescharacteristic
98#388×C79C2211yescharacteristic
99#388×C79C2211yescharacteristic
100#388×C79C2211yescharacteristic
101#388×C79C2211yescharacteristic
102#388×C79C2211yescharacteristic, complemented
103#388×C79C2211yescharacteristic, complemented
104#388×C79C2211yescharacteristic, complemented
105#388×C79C2211yescharacteristic, complemented
106#388×C79C2211yescharacteristic, complemented
107#388×C79C2211yescharacteristic, complemented
108#387×C79C2211yescharacteristic, complemented
109#387×C79C2211yescharacteristic, complemented
110#387×C79C2211yescharacteristic, complemented
111#387×C79C2211yescharacteristic, complemented
112#387×C79C2211yescharacteristic, complemented
113#387×C79C2211yescharacteristic, complemented
114#387×C79C2211yescharacteristic, complemented
115#387×C79C2211yescharacteristic, complemented
116#387×C79C2211yescharacteristic, complemented
117#387×C79C2211yescharacteristic, complemented
118#387×C79C2211yescharacteristic, complemented
119#387×C79C2211yescharacteristic, complemented
120#386×C79C2211yescharacteristic
121#386×C79C2211yescharacteristic
122#386×C79C2211yescharacteristic
123#386×C79C2211yescharacteristic
124#386×C79C2211yescharacteristic
125#386×C79C2211yescharacteristic
126#386×C79C2211yescharacteristic
127#386×C79C2211yescharacteristic
128#386×C79C2211yescharacteristic
129#386×C79C2211yescharacteristic
130#386×C79C2211yescharacteristic
131#386×C79C2211yescharacteristic
132#386×C79C2211yescharacteristic
133#386×C79C2211yescharacteristic
134#386×C79C2211yescharacteristic
135#386×C79C2211yescharacteristic
136#386×C79C2211yescharacteristic
137#386×C79C2211yescharacteristic
138#386×C79C2211yescharacteristic, complemented
139#386×C79C2211yescharacteristic, complemented
140#386×C79C2211yescharacteristic, complemented
141#386×C79C2211yescharacteristic, complemented
142#386×C79C2211yescharacteristic, complemented
143#386×C79C2211yescharacteristic, complemented
144#385×C79C2211yescharacteristic
145#385×C79C2211yescharacteristic
146#385×C79C2211yescharacteristic
147#385×C79C2211yescharacteristic
148#385×C79C2211yescharacteristic
149#385×C79C2211yescharacteristic
150#385×C79C2211yescharacteristic
151#385×C79C2211yescharacteristic
152#385×C79C2211yescharacteristic
153#385×C79C2211yescharacteristic, complemented
154#385×C79C2211yescharacteristic, complemented
155#385×C79C2211yescharacteristic, complemented
156#382×C79C2211yescharacteristic, complemented
157#381×C79C2211yescharacteristic, complemented
158#380×C79C2211yescharacteristic, complemented
159#380×C79C2211yescharacteristic, complemented
160#380×C79C2211yescharacteristic, complemented
161#380×C79C2211yescharacteristic, complemented
162#379×C79C2211yescharacteristic
163C4×C4⋊C4×C79C2211yescharacteristic, complemented
164C4×C4⋊C4×C79C2211yescharacteristic, complemented
165C4×C4⋊C4×C79C2211yescharacteristic, complemented
166C4×C4⋊C4×C79C2211yescharacteristic, complemented
167C4×C4⋊C4×C79C2211yescharacteristic, complemented
168C4×C4⋊C4×C79C2211yescharacteristic, complemented
169C4×C4⋊C4×C79C2211yescharacteristic, complemented
170C4×C4⋊C4×C79C2211yescharacteristic, complemented
171C4×C22⋊C4×C79C2211yescharacteristic
172C4×C22⋊C4×C79C2211yescharacteristic
173C4×C22⋊C4×C79C2211yescharacteristic
174C4×C22⋊C4×C79C2211yescharacteristic
175C4×C22⋊C4×C79C2211yescharacteristic
176C4×C22⋊C4×C79C2211yescharacteristic
177C4×C22⋊C4×C79C2211yescharacteristic
178C4×C22⋊C4×C79C2211yescharacteristic
179C4×C22⋊C4×C79C2211yescharacteristic
180C4×C22⋊C4×C79C2211yescharacteristic, complemented
181C4×C22⋊C4×C79C2211yescharacteristic, complemented
182C4×C22⋊C4×C79C2211yescharacteristic, complemented
183C4×C22⋊C4×C79C2211yescharacteristic, complemented
184C4×C22⋊C4×C79C2211yescharacteristic, complemented
185#376×C79C2211yescharacteristic, complemented
186C2×#95×C79C2211yescharacteristic, complemented
187C2×#95×C79C2211yescharacteristic, complemented
188C25×C79C2311yescharacteristic
189C22×D4×C79C2311yescharacteristic
190C22×D4×C79C2311yescharacteristic
191C22×D4×C79C2311yescharacteristic
192C22×D4×C79C2311yescharacteristic
193C22×D4×C79C2311yescharacteristic
194C22×D4×C79C2311yescharacteristic
195C22×D4×C79C2311yescharacteristic
196C22×D4×C79C2311yescharacteristic
197C22×D4×C79C2311yescharacteristic
198C22×D4×C79C2311yescharacteristic
199C22×D4×C79C2311yescharacteristic
200C22×D4×C79C2311yescharacteristic
201C23×C4×C79C2311yescharacteristic
202C23×C4×C79C2311yescharacteristic
203C23×C4×C79C2311yescharacteristic
204C23×C4×C79C2311yescharacteristic
205C23×C4×C79C2311yescharacteristic
206C23×C4×C79C2311yescharacteristic
207C23×C4×C79C2311yescharacteristic
208C23×C4×C79C2311yescharacteristic
209C23×C4×C79C2311yescharacteristic
210C23×C4×C79C2311yescharacteristic
211C23×C4×C79C2311yescharacteristic
212C23×C4×C79C2311yescharacteristic
213C23×C4×C79C2311yescharacteristic
214C23×C4×C79C2311yescharacteristic
215C23×C4×C79C2311yescharacteristic
216#127×C79C2×C418yescomplemented
217#126×C79C2×C418yescomplemented
218#126×C79C2×C418yescomplemented
219#123×C79C2×C418yescomplemented
220#123×C79C2×C418yescomplemented
221#123×C79C2×C418yescomplemented
222#121×C79C2×C418yescomplemented
223#121×C79C2×C418yescomplemented
224#121×C79C2×C418yescomplemented
225#121×C79C2×C418yescomplemented
226#121×C79C2×C418yescomplemented
227#121×C79C2×C418yescomplemented
228#120×C79C2×C418yescomplemented
229#120×C79C2×C418yescomplemented
230#120×C79C2×C418yescomplemented
231C4×D4×C79—42no—
232C4×D4×C79—42no—
233C4×D4×C79—42no—
234C4×D4×C79—42no—
235C4×D4×C79—42no—
236C4×D4×C79—42no—
237C4×D4×C79—42no—
238C4×D4×C79—42no—
239C4×D4×C79—42no—
240C4×D4×C79—42no—
241C4×D4×C79—42no—
242C4×D4×C79—42no—
243#117×C79—42no—
244#117×C79—42no—
245C2×C4⋊C4×C79C2311yescharacteristic
246C2×C4⋊C4×C79C2311yescharacteristic
247C2×C4⋊C4×C79C2311yescharacteristic
248C2×C4⋊C4×C79C2311yescharacteristic
249C2×C4⋊C4×C79C2311yescharacteristic
250C2×C4⋊C4×C79C2311yescharacteristic
251C2×C4⋊C4×C79C2311yescharacteristic
252C2×C4⋊C4×C79C2311yescharacteristic
253C2×C4⋊C4×C79C2311yescharacteristic
254C2×C4⋊C4×C79C2311yescharacteristic
255C2×C4⋊C4×C79C2311yescharacteristic
256C2×C4⋊C4×C79C2311yescharacteristic
257C2×C4⋊C4×C79C2311yescharacteristic
258C2×C4⋊C4×C79C2311yescharacteristic
259C2×C4⋊C4×C79C2311yescharacteristic
260C2×C4⋊C4×C79C2311yescharacteristic
261C2×C4⋊C4×C79C2311yescharacteristic
262C2×C4⋊C4×C79C2311yescharacteristic
263C2×C4⋊C4×C79C2311yescharacteristic
264C2×C4⋊C4×C79C2311yescharacteristic
265C2×C4⋊C4×C79C2311yescharacteristic
266C2×C4⋊C4×C79C2311yescharacteristic
267C2×C4⋊C4×C79C2311yescharacteristic
268C2×C4⋊C4×C79C2311yescharacteristic
269C2×C22⋊C4×C79—42no—
270C2×C22⋊C4×C79—42no—
271C2×C22⋊C4×C79—42no—
272C2×C22⋊C4×C79C2311yescharacteristic
273C2×C22⋊C4×C79C2311yescharacteristic
274C2×C22⋊C4×C79C2311yescharacteristic
275C2×C22⋊C4×C79C2311yescharacteristic
276C2×C22⋊C4×C79C2311yescharacteristic
277C2×C22⋊C4×C79C2311yescharacteristic
278C2×C22⋊C4×C79C2311yescharacteristic
279C2×C22⋊C4×C79C2311yescharacteristic
280C2×C22⋊C4×C79C2311yescharacteristic
281C2×C22⋊C4×C79C2311yescharacteristic
282C2×C22⋊C4×C79C2311yescharacteristic
283C2×C22⋊C4×C79C2311yescharacteristic
284C2×C22⋊C4×C79C2311yescharacteristic
285C2×C22⋊C4×C79C2311yescharacteristic
286C2×C22⋊C4×C79C2311yescharacteristic
287C2×C22⋊C4×C79C2311yescharacteristic
288C2×C22⋊C4×C79C2311yescharacteristic
289C2×C22⋊C4×C79C2311yescharacteristic
290C2×C22⋊C4×C79C2311yescharacteristic
291C2×C22⋊C4×C79C2311yescharacteristic
292C2×C22⋊C4×C79C2311yescharacteristic
293C2×C22⋊C4×C79C2311yescharacteristic
294C2×C22⋊C4×C79C2311yescharacteristic
295C2×C22⋊C4×C79C2311yescharacteristic
296C2×C22⋊C4×C79C2311yescharacteristic
297C2×C22⋊C4×C79C2311yescharacteristic
298C2×C22⋊C4×C79C2311yescharacteristic
299C2×C22⋊C4×C79C2311yescharacteristic
300C2×C22⋊C4×C79C2311yescharacteristic
301C2×C22⋊C4×C79C2311yescharacteristic
302C2×C22⋊C4×C79C2311yescharacteristic
303C2×C22⋊C4×C79C2311yescharacteristic
304C2×C22⋊C4×C79C2311yescharacteristic
305C2×C22⋊C4×C79C2311yescharacteristic
306C2×C22⋊C4×C79C2311yescharacteristic
307C2×C22⋊C4×C79C2311yescharacteristic
308C2×C22⋊C4×C79C2311yescharacteristic
309C2×C22⋊C4×C79C2311yescharacteristic
310C2×C22⋊C4×C79C2311yescharacteristic
311C2×C22⋊C4×C79C2311yescharacteristic
312C2×C22⋊C4×C79C2311yescharacteristic
313C2×C22⋊C4×C79C2311yescharacteristic
314C2×C22⋊C4×C79C2311yescharacteristic
315C2×C22⋊C4×C79C2311yescharacteristic
316C2×C22⋊C4×C79C2311yescharacteristic
317C2×C22⋊C4×C79C2311yescharacteristic
318C2×C22⋊C4×C79C2311yescharacteristic
319C2×C22⋊C4×C79C2311yescharacteristic
320C2×C42×C79—42no—
321C2×C42×C79C2311yescharacteristic
322C2×C42×C79C2311yescharacteristic
323C2×C42×C79C2311yescharacteristic
324C2×C42×C79C2311yescharacteristic
325C2×C42×C79C2311yescharacteristic
326C2×C42×C79C2311yescharacteristic
327C2×C42×C79C2311yescharacteristic
328C2×C42×C79C2311yescharacteristic
329C2×C42×C79C2311yescharacteristic
330C2×C42×C79C2311yescharacteristic
331C2×C42×C79C2311yescharacteristic
332C2×C42×C79C2311yescharacteristic
333C2×C42×C79C2311yescharacteristic
334C2×C42×C79C2311yescharacteristic
335C2×C42×C79C2311yescharacteristic
336C2×C42×C79C2311yescharacteristic
337C2×C42×C79C2311yescharacteristic
338C2×C42×C79C2311yescharacteristic
339C2×C42×C79C2311yescharacteristic
340#95×C79C2311yescharacteristic
341#95×C79C2311yescharacteristic
342#95×C79C2311yescharacteristic
343#95×C79C2311yescharacteristic
344#95×C79C2311yescharacteristic
345#95×C79C2311yescharacteristic
346#95×C79C2311yescharacteristic
347#95×C79C2311yescharacteristic
348#95×C79C2311yescharacteristic
349#95×C79C2311yescharacteristic
350#95×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376C24×C79—41no—
377C24×C79—41no—
378C24×C79—41no—
379C24×C79—41no—
380C24×C79—41no—
381C24×C79—41no—
382C24×C79C22×C414yes—
383C24×C79C2411yescharacteristic
384C24×C79C2411yescharacteristic
385C24×C79C2411yescharacteristic
386C24×C79C2411yescharacteristic
387C24×C79C2411yescharacteristic
388C24×C79C2411yescharacteristic
389C2×D4×C79—41no—
390C2×D4×C79—41no—
391C2×D4×C79—41no—
392C2×D4×C79—41no—
393C2×D4×C79—41no—
394C2×D4×C79—41no—
395C2×D4×C79—41no—
396C2×D4×C79—41no—
397C2×D4×C79—41no—
398C2×D4×C79—41no—
399C2×D4×C79—41no—
400C2×D4×C79—41no—
401C2×D4×C79—41no—
402C2×D4×C79—41no—
403C2×D4×C79—41no—
404C2×D4×C79—41no—
405C2×D4×C79—41no—
406C2×D4×C79—41no—
407C2×D4×C79—41no—
408C2×D4×C79—41no—
409C2×D4×C79—41no—
410C2×D4×C79—41no—
411C2×D4×C79—41no—
412C2×D4×C79—41no—
413C2×D4×C79C22×C414yes—
414C2×D4×C79C22×C414yes—
415C2×D4×C79C22×C414yes—
416C2×D4×C79C22×C414yes—
417C2×D4×C79C22×C414yes—
418C2×D4×C79C22×C414yes—
419C2×D4×C79C22×C414yes—
420C2×D4×C79C22×C414yes—
421C2×D4×C79C22×C414yes—
422C2×D4×C79C22×C414yes—
423C2×D4×C79C22×C414yes—
424C2×D4×C79C22×C414yes—
425C22×C4×C79—22no—
426C22×C4×C79—22no—
427C22×C4×C79—22no—
428C22×C4×C79—22no—
429C22×C4×C79—22no—
430C22×C4×C79—22no—
431C22×C4×C79—22no—
432C22×C4×C79—22no—
433C22×C4×C79—41no—
434C22×C4×C79—41no—
435C22×C4×C79—41no—
436C22×C4×C79—41no—
437C22×C4×C79—41no—
438C22×C4×C79—41no—
439C22×C4×C79—41no—
440C22×C4×C79—41no—
441C22×C4×C79—41no—
442C22×C4×C79—41no—
443C22×C4×C79—41no—
444C22×C4×C79—41no—
445C22×C4×C79—41no—
446C22×C4×C79—41no—
447C22×C4×C79—41no—
448C22×C4×C79—41no—
449C22×C4×C79—41no—
450C22×C4×C79—41no—
451C22×C4×C79—41no—
452C22×C4×C79—41no—
453C22×C4×C79—41no—
454C22×C4×C79—41no—
455C22×C4×C79—41no—
456C22×C4×C79—41no—
457C22×C4×C79—41no—
458C22×C4×C79—41no—
459C22×C4×C79—41no—
460C22×C4×C79—41no—
461C22×C4×C79—41no—
462C22×C4×C79—41no—
463C22×C4×C79—41no—
464C22×C4×C79—41no—
465C22×C4×C79—41no—
466C22×C4×C79—41no—
467C22×C4×C79C22×C414yes—
468C22×C4×C79C22×C414yes—
469C22×C4×C79C22×C414yes—
470C22×C4×C79C2411yescharacteristic
471C22×C4×C79C2411yescharacteristic
472C22×C4×C79C2411yescharacteristic
473C22×C4×C79C2411yescharacteristic
474C22×C4×C79C2411yescharacteristic
475C22×C4×C79C2411yescharacteristic
476C22×C4×C79C2411yescharacteristic
477C22×C4×C79C2411yescharacteristic
478C22×C4×C79C2411yescharacteristic
479C22×C4×C79C2411yescharacteristic
480C22×C4×C79C2411yescharacteristic
481C22×C4×C79C2411yescharacteristic
482C22×C4×C79C2411yescharacteristic
483C22×C4×C79C2411yescharacteristic
484C22×C4×C79C2411yescharacteristic
485C22×C4×C79C2411yescharacteristic
486C22×C4×C79C2411yescharacteristic
487C22×C4×C79C2411yescharacteristic
488C22×C4×C79C2411yescharacteristic
489C22×C4×C79C2411yescharacteristic
490C22×C4×C79C2411yescharacteristic
491C22×C4×C79C2411yescharacteristic
492C22×C4×C79C2411yescharacteristic
493C22×C4×C79C2411yescharacteristic
494C22×C4×C79C2411yescharacteristic
495C4⋊C4×C79—22no—
496C4⋊C4×C79—22no—
497C4⋊C4×C79—22no—
498C4⋊C4×C79—22no—
499C4⋊C4×C79—41no—
500C4⋊C4×C79—41no—
501C4⋊C4×C79—41no—
502C4⋊C4×C79—41no—
503C4⋊C4×C79—41no—
504C4⋊C4×C79—41no—
505C4⋊C4×C79—41no—
506C4⋊C4×C79—41no—
507C4⋊C4×C79—41no—
508C4⋊C4×C79—41no—
509C4⋊C4×C79—41no—
510C4⋊C4×C79—41no—
511C4⋊C4×C79—41no—
512C4⋊C4×C79—41no—
513C4⋊C4×C79C22×C414yes—
514C4⋊C4×C79C22×C414yes—
515C4⋊C4×C79C22×C414yes—
516C4⋊C4×C79C22×C414yes—
517C4⋊C4×C79C22×C414yes—
518C4⋊C4×C79C22×C414yes—
519C22⋊C4×C79—22no—
520C22⋊C4×C79—22no—
521C22⋊C4×C79—22no—
522C22⋊C4×C79—22no—
523C22⋊C4×C79—22no—
524C22⋊C4×C79—22no—
525C22⋊C4×C79—22no—
526C22⋊C4×C79—22no—
527C22⋊C4×C79—22no—
528C22⋊C4×C79—22no—
529C22⋊C4×C79—41no—
530C22⋊C4×C79—41no—
531C22⋊C4×C79—41no—
532C22⋊C4×C79—41no—
533C22⋊C4×C79—41no—
534C22⋊C4×C79—41no—
535C22⋊C4×C79—41no—
536C22⋊C4×C79—41no—
537C22⋊C4×C79—41no—
538C22⋊C4×C79—41no—
539C22⋊C4×C79—41no—
540C22⋊C4×C79—41no—
541C22⋊C4×C79—41no—
542C22⋊C4×C79—41no—
543C22⋊C4×C79—41no—
544C22⋊C4×C79—41no—
545C22⋊C4×C79—41no—
546C22⋊C4×C79—41no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79C22×C414yes—
556C22⋊C4×C79C22×C414yes—
557C22⋊C4×C79C22×C414yes—
558C22⋊C4×C79C22×C414yes—
559C22⋊C4×C79C22×C414yes—
560C22⋊C4×C79C22×C414yes—
561C22⋊C4×C79C22×C414yes—
562C22⋊C4×C79C22×C414yes—
563C22⋊C4×C79C22×C414yes—
564C22⋊C4×C79C22×C414yes—
565C22⋊C4×C79C22×C414yes—
566C22⋊C4×C79C22×C414yes—
567C42×C79—22no—
568C42×C79—22no—
569C42×C79—22no—
570C42×C79—22no—
571C42×C79—22no—
572C42×C79—41no—
573C42×C79—41no—
574C42×C79—41no—
575C42×C79—41no—
576C42×C79—41no—
577C42×C79—41no—
578C42×C79—41no—
579C42×C79—41no—
580C42×C79—41no—
581C42×C79—41no—
582C42×C79—41no—
583C42×C79—41no—
584C42×C79—41no—
585C42×C79C22×C414yes—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—44no—
623C23×C79—44no—
624C23×C79—44no—
625C23×C79—82no—
626C23×C79—82no—
627C23×C79—82no—
628C23×C79—82no—
629C23×C79C23×C412yes—
630C23×C79C23×C412yes—
631C23×C79C23×C412yes—
632C23×C79C23×C412yes—
633C23×C79C23×C412yes—
634C23×C79C23×C412yes—
635C23×C79C2511yescharacteristic
636D4×C79—44no—
637D4×C79—44no—
638D4×C79—44no—
639D4×C79—44no—
640D4×C79—44no—
641D4×C79—44no—
642D4×C79—44no—
643D4×C79—44no—
644D4×C79—44no—
645D4×C79—44no—
646D4×C79—44no—
647D4×C79—44no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—44no—
712C2×C4×C79—44no—
713C2×C4×C79—44no—
714C2×C4×C79—44no—
715C2×C4×C79—44no—
716C2×C4×C79—82no—
717C2×C4×C79—82no—
718C2×C4×C79—82no—
719C2×C4×C79—82no—
720C2×C4×C79—82no—
721C2×C4×C79—82no—
722C2×C4×C79—82no—
723C2×C4×C79—82no—
724C2×C4×C79—82no—
725C2×C4×C79—82no—
726C2×C4×C79C23×C412yes—
727C2×C4×C79C23×C412yes—
728C2×C4×C79C23×C412yes—
729C2×C4×C79C23×C412yes—
730C2×C4×C79C23×C412yes—
731C2×C4×C79C23×C412yes—
732C2×C4×C79C23×C412yes—
733C2×C4×C79C23×C412yes—
734C2×C4×C79C23×C412yes—
735C2×C4×C79H(5,𝔽2)12yes—
736C2×C4×C79H(5,𝔽2)12yes—
737C2×C4×C79H(5,𝔽2)12yes—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—22no—
741C22×C79—22no—
742C22×C79—22no—
743C22×C79—22no—
744C22×C79—22no—
745C22×C79—22no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—22no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—88no—
781C22×C79C24×C411yescharacteristic
782C22×C79C2×H(5,𝔽2)11yescharacteristic
783C22×C79C2×H(5,𝔽2)11yescharacteristic
784C22×C79C2×H(5,𝔽2)11yescharacteristic
785C22×C79#58511yescharacteristic
786C22×C79#58511yescharacteristic
787C22×C79#58511yescharacteristic
788C4×C79—22no—
789C4×C79—22no—
790C4×C79—22no—
791C4×C79—22no—
792C4×C79—22no—
793C4×C79—22no—
794C4×C79—22no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813#34517C7911yesmaximal, characteristic, direct product factor, Sylow
814C2×C79—42no—
815C2×C79—42no—
816C2×C79—42no—
817C2×C79—42no—
818C2×C79—42no—
819C2×C79—42no—
820C2×C79C4×H(5,𝔽2)11yescharacteristic
821C2×C79C4×H(5,𝔽2)11yescharacteristic
822C2×C79C4×H(5,𝔽2)11yescharacteristic
823C2×C79#353411yescharacteristic
824C2×C79#354211yescharacteristic
825C2×C79#354611yescharacteristic
826C2×C79#356611yescharacteristic
827C2×#560C2×C7911yescharacteristic
828#2377C2×C7911yescharacteristic, complemented
829#2377C2×C7911yescharacteristic, complemented
830#2376C2×C7911yescharacteristic, complemented
831#2373C2×C7911yescharacteristic, complemented
832#2373C2×C7911yescharacteristic, complemented
833#2366C2×C7911yescharacteristic, complemented
834#2364C2×C7911yescharacteristic, complemented
835#2364C2×C7911yescharacteristic, complemented
836#2363C2×C7911yescharacteristic, complemented
837#2363C2×C7911yescharacteristic, complemented
838#2359C2×C7911yescharacteristic, complemented
839#2359C2×C7911yescharacteristic, complemented
840#2358C2×C7911yescharacteristic, complemented
841#2358C2×C7911yescharacteristic, complemented
842#2358C2×C7911yescharacteristic, complemented
843#2335C2×C7911yescharacteristic, complemented
844#2335C2×C7911yescharacteristic, complemented
845#2334C2×C7911yescharacteristic, complemented
846#2334C2×C7911yescharacteristic, complemented
847#2328C2×C7911yescharacteristic, complemented
848#2325C2×C7911yescharacteristic, complemented
849#2325C2×C7911yescharacteristic, complemented
850#2324C2×C7911yescharacteristic, complemented
851#2324C2×C7911yescharacteristic, complemented
852#2321C2×C7911yescharacteristic, complemented
853#2321C2×C7911yescharacteristic, complemented
854#2321C2×C7911yescharacteristic, complemented
855C4×#123C2×C7911yescharacteristic, complemented
856C4×#121C2×C7911yescharacteristic, complemented
857C4×#121C2×C7911yescharacteristic, complemented
858C79#3451711yescharacteristic, direct product factor, Sylow
859#560C4×C79116yescomplemented
860C2×#127C22×C7911yescharacteristic
861C2×#126C22×C7911yescharacteristic
862C2×#126C22×C7911yescharacteristic
863C2×#123C22×C7911yescharacteristic
864C2×#123C22×C7911yescharacteristic
865C2×#123C22×C7911yescharacteristic
866C2×#121C22×C7911yescharacteristic
867C2×#121C22×C7911yescharacteristic
868C2×#121C22×C7911yescharacteristic
869C2×#121C22×C7911yescharacteristic
870C2×#121C22×C7911yescharacteristic
871C2×#121C22×C7911yescharacteristic
872C2×#120C22×C7911yescharacteristic
873C2×#120C22×C7911yescharacteristic
874C2×#120C22×C7911yescharacteristic
875C2×C4×D4C22×C7911yescharacteristic
876C2×C4×D4C22×C7911yescharacteristic
877C2×C4×D4C22×C7911yescharacteristic
878C2×C4×D4C22×C7911yescharacteristic
879C2×C4×D4C22×C7911yescharacteristic
880C2×C4×D4C22×C7911yescharacteristic
881C2×C4×D4C22×C7911yescharacteristic
882C2×C4×D4C22×C7911yescharacteristic
883C2×C4×D4C22×C7911yescharacteristic
884C2×C4×D4C22×C7911yescharacteristic, complemented
885C2×C4×D4C22×C7911yescharacteristic, complemented
886C2×C4×D4C22×C7911yescharacteristic, complemented
887C2×#117C22×C7911yescharacteristic, complemented
888C2×#117C22×C7911yescharacteristic, complemented
889C22×C22⋊C4C22×C7911yescharacteristic
890C22×C22⋊C4C22×C7911yescharacteristic
891C22×C22⋊C4C22×C7911yescharacteristic
892C22×C42C22×C7911yescharacteristic, complemented
893#390C22×C7911yescharacteristic
894#390C22×C7911yescharacteristic
895#390C22×C7911yescharacteristic
896#390C22×C7911yescharacteristic
897#390C22×C7911yescharacteristic
898#390C22×C7911yescharacteristic
899#390C22×C7911yescharacteristic
900#390C22×C7911yescharacteristic
901#390C22×C7911yescharacteristic
902#390C22×C7911yescharacteristic, complemented
903#390C22×C7911yescharacteristic, complemented
904#390C22×C7911yescharacteristic, complemented
905#389C22×C7911yescharacteristic, complemented
906#389C22×C7911yescharacteristic, complemented
907#389C22×C7911yescharacteristic, complemented
908#389C22×C7911yescharacteristic, complemented
909#389C22×C7911yescharacteristic, complemented
910#389C22×C7911yescharacteristic, complemented
911#388C22×C7911yescharacteristic
912#388C22×C7911yescharacteristic
913#388C22×C7911yescharacteristic
914#388C22×C7911yescharacteristic
915#388C22×C7911yescharacteristic
916#388C22×C7911yescharacteristic
917#388C22×C7911yescharacteristic
918#388C22×C7911yescharacteristic
919#388C22×C7911yescharacteristic
920#388C22×C7911yescharacteristic
921#388C22×C7911yescharacteristic
922#388C22×C7911yescharacteristic
923#388C22×C7911yescharacteristic
924#388C22×C7911yescharacteristic
925#388C22×C7911yescharacteristic
926#388C22×C7911yescharacteristic
927#388C22×C7911yescharacteristic
928#388C22×C7911yescharacteristic
929#388C22×C7911yescharacteristic, complemented
930#388C22×C7911yescharacteristic, complemented
931#388C22×C7911yescharacteristic, complemented
932#388C22×C7911yescharacteristic, complemented
933#388C22×C7911yescharacteristic, complemented
934#388C22×C7911yescharacteristic, complemented
935#387C22×C7911yescharacteristic, complemented
936#387C22×C7911yescharacteristic, complemented
937#387C22×C7911yescharacteristic, complemented
938#387C22×C7911yescharacteristic, complemented
939#387C22×C7911yescharacteristic, complemented
940#387C22×C7911yescharacteristic, complemented
941#387C22×C7911yescharacteristic, complemented
942#387C22×C7911yescharacteristic, complemented
943#387C22×C7911yescharacteristic, complemented
944#387C22×C7911yescharacteristic, complemented
945#387C22×C7911yescharacteristic, complemented
946#387C22×C7911yescharacteristic, complemented
947#386C22×C7911yescharacteristic
948#386C22×C7911yescharacteristic
949#386C22×C7911yescharacteristic
950#386C22×C7911yescharacteristic
951#386C22×C7911yescharacteristic
952#386C22×C7911yescharacteristic
953#386C22×C7911yescharacteristic
954#386C22×C7911yescharacteristic
955#386C22×C7911yescharacteristic
956#386C22×C7911yescharacteristic
957#386C22×C7911yescharacteristic
958#386C22×C7911yescharacteristic
959#386C22×C7911yescharacteristic
960#386C22×C7911yescharacteristic
961#386C22×C7911yescharacteristic
962#386C22×C7911yescharacteristic
963#386C22×C7911yescharacteristic
964#386C22×C7911yescharacteristic
965#386C22×C7911yescharacteristic, complemented
966#386C22×C7911yescharacteristic, complemented
967#386C22×C7911yescharacteristic, complemented
968#386C22×C7911yescharacteristic, complemented
969#386C22×C7911yescharacteristic, complemented
970#386C22×C7911yescharacteristic, complemented
971#385C22×C7911yescharacteristic
972#385C22×C7911yescharacteristic
973#385C22×C7911yescharacteristic
974#385C22×C7911yescharacteristic
975#385C22×C7911yescharacteristic
976#385C22×C7911yescharacteristic
977#385C22×C7911yescharacteristic
978#385C22×C7911yescharacteristic
979#385C22×C7911yescharacteristic
980#385C22×C7911yescharacteristic, complemented
981#385C22×C7911yescharacteristic, complemented
982#385C22×C7911yescharacteristic, complemented
983#382C22×C7911yescharacteristic, complemented
984#381C22×C7911yescharacteristic, complemented
985#380C22×C7911yescharacteristic, complemented
986#380C22×C7911yescharacteristic, complemented
987#380C22×C7911yescharacteristic, complemented
988#380C22×C7911yescharacteristic, complemented
989#379C22×C7911yescharacteristic
990C4×C4⋊C4C22×C7911yescharacteristic, complemented
991C4×C4⋊C4C22×C7911yescharacteristic, complemented
992C4×C4⋊C4C22×C7911yescharacteristic, complemented
993C4×C4⋊C4C22×C7911yescharacteristic, complemented
994C4×C4⋊C4C22×C7911yescharacteristic, complemented
995C4×C4⋊C4C22×C7911yescharacteristic, complemented
996C4×C4⋊C4C22×C7911yescharacteristic, complemented
997C4×C4⋊C4C22×C7911yescharacteristic, complemented
998C4×C22⋊C4C22×C7911yescharacteristic
999C4×C22⋊C4C22×C7911yescharacteristic
1000C4×C22⋊C4C22×C7911yescharacteristic
1001C4×C22⋊C4C22×C7911yescharacteristic
1002C4×C22⋊C4C22×C7911yescharacteristic
1003C4×C22⋊C4C22×C7911yescharacteristic
1004C4×C22⋊C4C22×C7911yescharacteristic
1005C4×C22⋊C4C22×C7911yescharacteristic
1006C4×C22⋊C4C22×C7911yescharacteristic
1007C4×C22⋊C4C22×C7911yescharacteristic, complemented
1008C4×C22⋊C4C22×C7911yescharacteristic, complemented
1009C4×C22⋊C4C22×C7911yescharacteristic, complemented
1010C4×C22⋊C4C22×C7911yescharacteristic, complemented
1011C4×C22⋊C4C22×C7911yescharacteristic, complemented
1012#376C22×C7911yescharacteristic, complemented
1013C2×#95C22×C7911yescharacteristic, complemented
1014C2×#95C22×C7911yescharacteristic, complemented
1015C25C23×C7911yescharacteristic
1016C22×D4C23×C7911yescharacteristic
1017C22×D4C23×C7911yescharacteristic
1018C22×D4C23×C7911yescharacteristic
1019C22×D4C23×C7911yescharacteristic
1020C22×D4C23×C7911yescharacteristic
1021C22×D4C23×C7911yescharacteristic
1022C22×D4C23×C7911yescharacteristic
1023C22×D4C23×C7911yescharacteristic
1024C22×D4C23×C7911yescharacteristic
1025C22×D4C23×C7911yescharacteristic
1026C22×D4C23×C7911yescharacteristic
1027C22×D4C23×C7911yescharacteristic
1028C23×C4C23×C7911yescharacteristic
1029C23×C4C23×C7911yescharacteristic
1030C23×C4C23×C7911yescharacteristic
1031C23×C4C23×C7911yescharacteristic
1032C23×C4C23×C7911yescharacteristic
1033C23×C4C23×C7911yescharacteristic
1034C23×C4C23×C7911yescharacteristic
1035C23×C4C23×C7911yescharacteristic
1036C23×C4C23×C7911yescharacteristic
1037C23×C4C23×C7911yescharacteristic
1038C23×C4C23×C7911yescharacteristic
1039C23×C4C23×C7911yescharacteristic
1040C23×C4C23×C7911yescharacteristic
1041C23×C4C23×C7911yescharacteristic
1042C23×C4C23×C7911yescharacteristic
1043#127C2×C4×C7918yescomplemented
1044#126C2×C4×C7918yescomplemented
1045#126C2×C4×C7918yescomplemented
1046#123C2×C4×C7918yescomplemented
1047#123C2×C4×C7918yescomplemented
1048#123C2×C4×C7918yescomplemented
1049#121C2×C4×C7918yescomplemented
1050#121C2×C4×C7918yescomplemented
1051#121C2×C4×C7918yescomplemented
1052#121C2×C4×C7918yescomplemented
1053#121C2×C4×C7918yescomplemented
1054#121C2×C4×C7918yescomplemented
1055#120C2×C4×C7918yescomplemented
1056#120C2×C4×C7918yescomplemented
1057#120C2×C4×C7918yescomplemented
1058C4×D4—42no—
1059C4×D4—42no—
1060C4×D4—42no—
1061C4×D4—42no—
1062C4×D4—42no—
1063C4×D4—42no—
1064C4×D4—42no—
1065C4×D4—42no—
1066C4×D4—42no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—42no—
1070#117—42no—
1071#117—42no—
1072C2×C4⋊C4C23×C7911yescharacteristic
1073C2×C4⋊C4C23×C7911yescharacteristic
1074C2×C4⋊C4C23×C7911yescharacteristic
1075C2×C4⋊C4C23×C7911yescharacteristic
1076C2×C4⋊C4C23×C7911yescharacteristic
1077C2×C4⋊C4C23×C7911yescharacteristic
1078C2×C4⋊C4C23×C7911yescharacteristic
1079C2×C4⋊C4C23×C7911yescharacteristic
1080C2×C4⋊C4C23×C7911yescharacteristic
1081C2×C4⋊C4C23×C7911yescharacteristic
1082C2×C4⋊C4C23×C7911yescharacteristic
1083C2×C4⋊C4C23×C7911yescharacteristic
1084C2×C4⋊C4C23×C7911yescharacteristic
1085C2×C4⋊C4C23×C7911yescharacteristic
1086C2×C4⋊C4C23×C7911yescharacteristic
1087C2×C4⋊C4C23×C7911yescharacteristic
1088C2×C4⋊C4C23×C7911yescharacteristic
1089C2×C4⋊C4C23×C7911yescharacteristic
1090C2×C4⋊C4C23×C7911yescharacteristic
1091C2×C4⋊C4C23×C7911yescharacteristic
1092C2×C4⋊C4C23×C7911yescharacteristic
1093C2×C4⋊C4C23×C7911yescharacteristic
1094C2×C4⋊C4C23×C7911yescharacteristic
1095C2×C4⋊C4C23×C7911yescharacteristic
1096C2×C22⋊C4—42no—
1097C2×C22⋊C4—42no—
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4C23×C7911yescharacteristic
1100C2×C22⋊C4C23×C7911yescharacteristic
1101C2×C22⋊C4C23×C7911yescharacteristic
1102C2×C22⋊C4C23×C7911yescharacteristic
1103C2×C22⋊C4C23×C7911yescharacteristic
1104C2×C22⋊C4C23×C7911yescharacteristic
1105C2×C22⋊C4C23×C7911yescharacteristic
1106C2×C22⋊C4C23×C7911yescharacteristic
1107C2×C22⋊C4C23×C7911yescharacteristic
1108C2×C22⋊C4C23×C7911yescharacteristic
1109C2×C22⋊C4C23×C7911yescharacteristic
1110C2×C22⋊C4C23×C7911yescharacteristic
1111C2×C22⋊C4C23×C7911yescharacteristic
1112C2×C22⋊C4C23×C7911yescharacteristic
1113C2×C22⋊C4C23×C7911yescharacteristic
1114C2×C22⋊C4C23×C7911yescharacteristic
1115C2×C22⋊C4C23×C7911yescharacteristic
1116C2×C22⋊C4C23×C7911yescharacteristic
1117C2×C22⋊C4C23×C7911yescharacteristic
1118C2×C22⋊C4C23×C7911yescharacteristic
1119C2×C22⋊C4C23×C7911yescharacteristic
1120C2×C22⋊C4C23×C7911yescharacteristic
1121C2×C22⋊C4C23×C7911yescharacteristic
1122C2×C22⋊C4C23×C7911yescharacteristic
1123C2×C22⋊C4C23×C7911yescharacteristic
1124C2×C22⋊C4C23×C7911yescharacteristic
1125C2×C22⋊C4C23×C7911yescharacteristic
1126C2×C22⋊C4C23×C7911yescharacteristic
1127C2×C22⋊C4C23×C7911yescharacteristic
1128C2×C22⋊C4C23×C7911yescharacteristic
1129C2×C22⋊C4C23×C7911yescharacteristic
1130C2×C22⋊C4C23×C7911yescharacteristic
1131C2×C22⋊C4C23×C7911yescharacteristic
1132C2×C22⋊C4C23×C7911yescharacteristic
1133C2×C22⋊C4C23×C7911yescharacteristic
1134C2×C22⋊C4C23×C7911yescharacteristic
1135C2×C22⋊C4C23×C7911yescharacteristic
1136C2×C22⋊C4C23×C7911yescharacteristic
1137C2×C22⋊C4C23×C7911yescharacteristic
1138C2×C22⋊C4C23×C7911yescharacteristic
1139C2×C22⋊C4C23×C7911yescharacteristic
1140C2×C22⋊C4C23×C7911yescharacteristic
1141C2×C22⋊C4C23×C7911yescharacteristic
1142C2×C22⋊C4C23×C7911yescharacteristic
1143C2×C22⋊C4C23×C7911yescharacteristic
1144C2×C22⋊C4C23×C7911yescharacteristic
1145C2×C22⋊C4C23×C7911yescharacteristic
1146C2×C22⋊C4C23×C7911yescharacteristic
1147C2×C42—42no—
1148C2×C42C23×C7911yescharacteristic
1149C2×C42C23×C7911yescharacteristic
1150C2×C42C23×C7911yescharacteristic
1151C2×C42C23×C7911yescharacteristic
1152C2×C42C23×C7911yescharacteristic
1153C2×C42C23×C7911yescharacteristic
1154C2×C42C23×C7911yescharacteristic
1155C2×C42C23×C7911yescharacteristic
1156C2×C42C23×C7911yescharacteristic
1157C2×C42C23×C7911yescharacteristic
1158C2×C42C23×C7911yescharacteristic
1159C2×C42C23×C7911yescharacteristic
1160C2×C42C23×C7911yescharacteristic
1161C2×C42C23×C7911yescharacteristic
1162C2×C42C23×C7911yescharacteristic
1163C2×C42C23×C7911yescharacteristic
1164C2×C42C23×C7911yescharacteristic
1165C2×C42C23×C7911yescharacteristic
1166C2×C42C23×C7911yescharacteristic
1167#95C23×C7911yescharacteristic
1168#95C23×C7911yescharacteristic
1169#95C23×C7911yescharacteristic
1170#95C23×C7911yescharacteristic
1171#95C23×C7911yescharacteristic
1172#95C23×C7911yescharacteristic
1173#95C23×C7911yescharacteristic
1174#95C23×C7911yescharacteristic
1175#95C23×C7911yescharacteristic
1176#95C23×C7911yescharacteristic
1177#95C23×C7911yescharacteristic
1178#95C23×C7911yescharacteristic
1179#95C23×C7911yescharacteristic
1180#95C23×C7911yescharacteristic
1181#95C23×C7911yescharacteristic
1182#95C23×C7911yescharacteristic
1183#95C23×C7911yescharacteristic
1184#95C23×C7911yescharacteristic
1185#95C23×C7911yescharacteristic
1186#95C23×C7911yescharacteristic
1187#95C23×C7911yescharacteristic
1188#95C23×C7911yescharacteristic
1189#95C23×C7911yescharacteristic
1190#95C23×C7911yescharacteristic
1191#95C23×C7911yescharacteristic
1192#95C23×C7911yescharacteristic
1193#95C23×C7911yescharacteristic
1194#95C23×C7911yescharacteristic
1195#95C23×C7911yescharacteristic
1196#95C23×C7911yescharacteristic
1197#95C23×C7911yescharacteristic
1198#95C23×C7911yescharacteristic
1199#95C23×C7911yescharacteristic
1200#95C23×C7911yescharacteristic
1201#95C23×C7911yescharacteristic
1202#95C23×C7911yescharacteristic
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24C22×C4×C7914yes—
1210C24C24×C7911yescharacteristic
1211C24C24×C7911yescharacteristic
1212C24C24×C7911yescharacteristic
1213C24C24×C7911yescharacteristic
1214C24C24×C7911yescharacteristic
1215C24C24×C7911yescharacteristic
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4C22×C4×C7914yes—
1241C2×D4C22×C4×C7914yes—
1242C2×D4C22×C4×C7914yes—
1243C2×D4C22×C4×C7914yes—
1244C2×D4C22×C4×C7914yes—
1245C2×D4C22×C4×C7914yes—
1246C2×D4C22×C4×C7914yes—
1247C2×D4C22×C4×C7914yes—
1248C2×D4C22×C4×C7914yes—
1249C2×D4C22×C4×C7914yes—
1250C2×D4C22×C4×C7914yes—
1251C2×D4C22×C4×C7914yes—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4C22×C4×C7914yes—
1295C22×C4C22×C4×C7914yes—
1296C22×C4C22×C4×C7914yes—
1297C22×C4C24×C7911yescharacteristic
1298C22×C4C24×C7911yescharacteristic
1299C22×C4C24×C7911yescharacteristic
1300C22×C4C24×C7911yescharacteristic
1301C22×C4C24×C7911yescharacteristic
1302C22×C4C24×C7911yescharacteristic
1303C22×C4C24×C7911yescharacteristic
1304C22×C4C24×C7911yescharacteristic
1305C22×C4C24×C7911yescharacteristic
1306C22×C4C24×C7911yescharacteristic
1307C22×C4C24×C7911yescharacteristic
1308C22×C4C24×C7911yescharacteristic
1309C22×C4C24×C7911yescharacteristic
1310C22×C4C24×C7911yescharacteristic
1311C22×C4C24×C7911yescharacteristic
1312C22×C4C24×C7911yescharacteristic
1313C22×C4C24×C7911yescharacteristic
1314C22×C4C24×C7911yescharacteristic
1315C22×C4C24×C7911yescharacteristic
1316C22×C4C24×C7911yescharacteristic
1317C22×C4C24×C7911yescharacteristic
1318C22×C4C24×C7911yescharacteristic
1319C22×C4C24×C7911yescharacteristic
1320C22×C4C24×C7911yescharacteristic
1321C22×C4C24×C7911yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4C22×C4×C7914yes—
1341C4⋊C4C22×C4×C7914yes—
1342C4⋊C4C22×C4×C7914yes—
1343C4⋊C4C22×C4×C7914yes—
1344C4⋊C4C22×C4×C7914yes—
1345C4⋊C4C22×C4×C7914yes—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4C22×C4×C7914yes—
1383C22⋊C4C22×C4×C7914yes—
1384C22⋊C4C22×C4×C7914yes—
1385C22⋊C4C22×C4×C7914yes—
1386C22⋊C4C22×C4×C7914yes—
1387C22⋊C4C22×C4×C7914yes—
1388C22⋊C4C22×C4×C7914yes—
1389C22⋊C4C22×C4×C7914yes—
1390C22⋊C4C22×C4×C7914yes—
1391C22⋊C4C22×C4×C7914yes—
1392C22⋊C4C22×C4×C7914yes—
1393C22⋊C4C22×C4×C7914yes—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—41no—
1404C42—41no—
1405C42—41no—
1406C42—41no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42C22×C4×C7914yes—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—82no—
1456C23C23×C4×C7912yes—
1457C23C23×C4×C7912yes—
1458C23C23×C4×C7912yes—
1459C23C23×C4×C7912yes—
1460C23C23×C4×C7912yes—
1461C23C23×C4×C7912yes—
1462C23C25×C7911yescharacteristic
1463D4—44no—
1464D4—44no—
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—44no—
1469D4—44no—
1470D4—44no—
1471D4—44no—
1472D4—44no—
1473D4—44no—
1474D4—44no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—82no—
1547C2×C4—82no—
1548C2×C4—82no—
1549C2×C4—82no—
1550C2×C4—82no—
1551C2×C4—82no—
1552C2×C4—82no—
1553C2×C4C23×C4×C7912yes—
1554C2×C4C23×C4×C7912yes—
1555C2×C4C23×C4×C7912yes—
1556C2×C4C23×C4×C7912yes—
1557C2×C4C23×C4×C7912yes—
1558C2×C4C23×C4×C7912yes—
1559C2×C4C23×C4×C7912yes—
1560C2×C4C23×C4×C7912yes—
1561C2×C4C23×C4×C7912yes—
1562C2×C4H(5,𝔽2)×C7912yes—
1563C2×C4H(5,𝔽2)×C7912yes—
1564C2×C4H(5,𝔽2)×C7912yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—88no—
1608C22C24×C4×C7911yescharacteristic
1609C22C2×H(5,𝔽2)×C7911yescharacteristic
1610C22C2×H(5,𝔽2)×C7911yescharacteristic
1611C22C2×H(5,𝔽2)×C7911yescharacteristic
1612C22#585×C7911yescharacteristic
1613C22#585×C7911yescharacteristic
1614C22#585×C7911yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C2—42no—
1641C2—42no—
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—42no—
1646C2C4×H(5,𝔽2)×C7911yescharacteristic
1647C2C4×H(5,𝔽2)×C7911yescharacteristic
1648C2C4×H(5,𝔽2)×C7911yescharacteristic
1649C2C79×#353411yescharacteristic
1650C2C79×#354211yescharacteristic
1651C2C79×#354611yescharacteristic
1652C2C79×#356611yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutatorC22C24×C4×C79
Frattini, cosocleC23C25×C79
prime radicalC2×#560×C79C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
2. C79×#2377C2semidirect
3. C79×#2377C2semidirect
4. C79×#2376C2semidirect
5. C79×#2373C2semidirect
6. C79×#2373C2semidirect
7. C79×#2366C2semidirect
8. C79×#2364C2semidirect
9. C79×#2364C2semidirect
10. C79×#2363C2semidirect
11. C79×#2363C2semidirect
12. C79×#2359C2semidirect
13. C79×#2359C2semidirect
14. C79×#2358C2semidirect
15. C79×#2358C2semidirect
16. C79×#2358C2semidirect
17. C79×#2335C2semidirect
18. C79×#2335C2semidirect
19. C79×#2334C2semidirect
20. C79×#2334C2semidirect
21. C79×#2328C2semidirect
22. C79×#2325C2semidirect
23. C79×#2325C2semidirect
24. C79×#2324C2semidirect
25. C79×#2324C2semidirect
26. C79×#2321C2semidirect
27. C79×#2321C2semidirect
28. C79×#2321C2semidirect
29. C4×#123×C79C2semidirect
30. C4×#121×C79C2semidirect
31. C4×#121×C79C2semidirect
32. #560×C79C4semidirect
57. C2×C4×D4×C79C22semidirect
58. C2×C4×D4×C79C22semidirect
59. C2×C4×D4×C79C22semidirect
60. C2×#117×C79C22semidirect
61. C2×#117×C79C22semidirect
65. C22×C42×C79C22semidirect
75. #390×C79C22semidirect
76. #390×C79C22semidirect
77. #390×C79C22semidirect
78. #389×C79C22semidirect
79. #389×C79C22semidirect
80. #389×C79C22semidirect
81. #389×C79C22semidirect
82. #389×C79C22semidirect
83. #389×C79C22semidirect
102. #388×C79C22semidirect
103. #388×C79C22semidirect
104. #388×C79C22semidirect
105. #388×C79C22semidirect
106. #388×C79C22semidirect
107. #388×C79C22semidirect
108. #387×C79C22semidirect
109. #387×C79C22semidirect
110. #387×C79C22semidirect
111. #387×C79C22semidirect
112. #387×C79C22semidirect
113. #387×C79C22semidirect
114. #387×C79C22semidirect
115. #387×C79C22semidirect
116. #387×C79C22semidirect
117. #387×C79C22semidirect
118. #387×C79C22semidirect
119. #387×C79C22semidirect
138. #386×C79C22semidirect
139. #386×C79C22semidirect
140. #386×C79C22semidirect
141. #386×C79C22semidirect
142. #386×C79C22semidirect
143. #386×C79C22semidirect
153. #385×C79C22semidirect
154. #385×C79C22semidirect
155. #385×C79C22semidirect
156. #382×C79C22semidirect
157. #381×C79C22semidirect
158. #380×C79C22semidirect
159. #380×C79C22semidirect
160. #380×C79C22semidirect
161. #380×C79C22semidirect
163. C4×C4⋊C4×C79C22semidirect
164. C4×C4⋊C4×C79C22semidirect
165. C4×C4⋊C4×C79C22semidirect
166. C4×C4⋊C4×C79C22semidirect
167. C4×C4⋊C4×C79C22semidirect
168. C4×C4⋊C4×C79C22semidirect
169. C4×C4⋊C4×C79C22semidirect
170. C4×C4⋊C4×C79C22semidirect
180. C4×C22⋊C4×C79C22semidirect
181. C4×C22⋊C4×C79C22semidirect
182. C4×C22⋊C4×C79C22semidirect
183. C4×C22⋊C4×C79C22semidirect
184. C4×C22⋊C4×C79C22semidirect
185. #376×C79C22semidirect
186. C2×#95×C79C22semidirect
187. C2×#95×C79C22semidirect
216. #127×C79C2×C4semidirect
217. #126×C79C2×C4semidirect
218. #126×C79C2×C4semidirect
219. #123×C79C2×C4semidirect
220. #123×C79C2×C4semidirect
221. #123×C79C2×C4semidirect
222. #121×C79C2×C4semidirect
223. #121×C79C2×C4semidirect
224. #121×C79C2×C4semidirect
225. #121×C79C2×C4semidirect
226. #121×C79C2×C4semidirect
227. #121×C79C2×C4semidirect
228. #120×C79C2×C4semidirect
229. #120×C79C2×C4semidirect
230. #120×C79C2×C4semidirect
813. #34517C79direct (N × H)
828. #2377C2×C79semidirect
829. #2377C2×C79semidirect
830. #2376C2×C79semidirect
831. #2373C2×C79semidirect
832. #2373C2×C79semidirect
833. #2366C2×C79semidirect
834. #2364C2×C79semidirect
835. #2364C2×C79semidirect
836. #2363C2×C79semidirect
837. #2363C2×C79semidirect
838. #2359C2×C79semidirect
839. #2359C2×C79semidirect
840. #2358C2×C79semidirect
841. #2358C2×C79semidirect
842. #2358C2×C79semidirect
843. #2335C2×C79semidirect
844. #2335C2×C79semidirect
845. #2334C2×C79semidirect
846. #2334C2×C79semidirect
847. #2328C2×C79semidirect
848. #2325C2×C79semidirect
849. #2325C2×C79semidirect
850. #2324C2×C79semidirect
851. #2324C2×C79semidirect
852. #2321C2×C79semidirect
853. #2321C2×C79semidirect
854. #2321C2×C79semidirect
855. C4×#123C2×C79semidirect
856. C4×#121C2×C79semidirect
857. C4×#121C2×C79semidirect
858. C79#34517direct (N × H)
859. #560C4×C79semidirect
884. C2×C4×D4C22×C79semidirect
885. C2×C4×D4C22×C79semidirect
886. C2×C4×D4C22×C79semidirect
887. C2×#117C22×C79semidirect
888. C2×#117C22×C79semidirect
892. C22×C42C22×C79semidirect
902. #390C22×C79semidirect
903. #390C22×C79semidirect
904. #390C22×C79semidirect
905. #389C22×C79semidirect
906. #389C22×C79semidirect
907. #389C22×C79semidirect
908. #389C22×C79semidirect
909. #389C22×C79semidirect
910. #389C22×C79semidirect
929. #388C22×C79semidirect
930. #388C22×C79semidirect
931. #388C22×C79semidirect
932. #388C22×C79semidirect
933. #388C22×C79semidirect
934. #388C22×C79semidirect
935. #387C22×C79semidirect
936. #387C22×C79semidirect
937. #387C22×C79semidirect
938. #387C22×C79semidirect
939. #387C22×C79semidirect
940. #387C22×C79semidirect
941. #387C22×C79semidirect
942. #387C22×C79semidirect
943. #387C22×C79semidirect
944. #387C22×C79semidirect
945. #387C22×C79semidirect
946. #387C22×C79semidirect
965. #386C22×C79semidirect
966. #386C22×C79semidirect
967. #386C22×C79semidirect
968. #386C22×C79semidirect
969. #386C22×C79semidirect
970. #386C22×C79semidirect
980. #385C22×C79semidirect
981. #385C22×C79semidirect
982. #385C22×C79semidirect
983. #382C22×C79semidirect
984. #381C22×C79semidirect
985. #380C22×C79semidirect
986. #380C22×C79semidirect
987. #380C22×C79semidirect
988. #380C22×C79semidirect
990. C4×C4⋊C4C22×C79semidirect
991. C4×C4⋊C4C22×C79semidirect
992. C4×C4⋊C4C22×C79semidirect
993. C4×C4⋊C4C22×C79semidirect
994. C4×C4⋊C4C22×C79semidirect
995. C4×C4⋊C4C22×C79semidirect
996. C4×C4⋊C4C22×C79semidirect
997. C4×C4⋊C4C22×C79semidirect
1007. C4×C22⋊C4C22×C79semidirect
1008. C4×C22⋊C4C22×C79semidirect
1009. C4×C22⋊C4C22×C79semidirect
1010. C4×C22⋊C4C22×C79semidirect
1011. C4×C22⋊C4C22×C79semidirect
1012. #376C22×C79semidirect
1013. C2×#95C22×C79semidirect
1014. C2×#95C22×C79semidirect
1043. #127C2×C4×C79semidirect
1044. #126C2×C4×C79semidirect
1045. #126C2×C4×C79semidirect
1046. #123C2×C4×C79semidirect
1047. #123C2×C4×C79semidirect
1048. #123C2×C4×C79semidirect
1049. #121C2×C4×C79semidirect
1050. #121C2×C4×C79semidirect
1051. #121C2×C4×C79semidirect
1052. #121C2×C4×C79semidirect
1053. #121C2×C4×C79semidirect
1054. #121C2×C4×C79semidirect
1055. #120C2×C4×C79semidirect
1056. #120C2×C4×C79semidirect
1057. #120C2×C4×C79semidirect

Maximal subgroups

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

subgroupindex
C2×#560×C792
C79×#23772
C79×#23762
C79×#23732
C79×#23662
C79×#23642
C79×#23632
C79×#23592
C79×#23582
C79×#23352
C79×#23342
C79×#23282
C79×#23252
C79×#23242
C79×#23212
C4×#123×C792
C4×#121×C792
#3451779