Finite Group Databasebeta

← C79×#36678 #34148367

Subgroups — C79×#36678 #34148367

Order 20224.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#2841C211yesmaximal, characteristic, complemented
2C79×#2839C211yesmaximal, characteristic, complemented
3C79×#2837C211yesmaximal, characteristic, complemented
4C79×#2836C211yesmaximal, characteristic, complemented
5C79×#2836C211yesmaximal, characteristic, complemented
6C79×#2832C211yesmaximal, characteristic, complemented
7C79×#2831C211yesmaximal, characteristic, complemented
8C79×#2830C211yesmaximal, characteristic, complemented
9C79×#2829C211yesmaximal, characteristic, complemented
10C79×#2827C211yesmaximal, characteristic, complemented
11C79×#2827C211yesmaximal, characteristic, complemented
12C79×#2826C211yesmaximal, characteristic, complemented
13C79×#2824C211yesmaximal, characteristic, complemented
14C79×#2816C211yesmaximal, characteristic, complemented
15C79×#2814C211yesmaximal, characteristic, complemented
16C79×#2813C211yesmaximal, characteristic
17C79×#2402C211yesmaximal, characteristic, complemented
18C79×#2398C211yesmaximal, characteristic, complemented
19C79×#2398C211yesmaximal, characteristic, complemented
20C79×#2396C211yesmaximal, characteristic, complemented
21C79×#2396C211yesmaximal, characteristic, complemented
22C79×#2396C211yesmaximal, characteristic, complemented
23C79×#2395C211yesmaximal, characteristic, complemented
24C79×#2395C211yesmaximal, characteristic, complemented
25C79×#2395C211yesmaximal, characteristic, complemented
26C79×#2392C211yesmaximal, characteristic, complemented
27C79×#2392C211yesmaximal, characteristic, complemented
28C79×#2392C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C79C211yesmaximal, characteristic, complemented
30C4×#123×C79C211yesmaximal, characteristic, complemented
31C4×#121×C79C211yesmaximal, characteristic, complemented
32C2×#123×C79C2211yescharacteristic
33C2×C22⋊Q8×C79C2211yescharacteristic
34C2×#121×C79C2211yescharacteristic
35C2×C4×Q8×C79C2211yescharacteristic
36C2×C4×Q8×C79C2211yescharacteristic
37C2×C4×D4×C79C2211yescharacteristic
38C2×C4×D4×C79C2211yescharacteristic
39C2×C4×D4×C79C2211yescharacteristic
40C2×C4×D4×C79C2211yescharacteristic
41C2×C4×D4×C79C2211yescharacteristic
42C2×C4×D4×C79C2211yescharacteristic
43C2×#117×C79C2211yescharacteristic
44C2×#117×C79C2211yescharacteristic
45C2×#117×C79C2211yescharacteristic
46C22×C42×C79C2211yescharacteristic
47#400×C79C2211yescharacteristic
48#400×C79C2211yescharacteristic
49#400×C79C2211yescharacteristic
50#400×C79C2211yescharacteristic
51#400×C79C2211yescharacteristic
52#400×C79C2211yescharacteristic
53#400×C79C2211yescharacteristic
54#400×C79C2211yescharacteristic
55#400×C79C2211yescharacteristic
56#400×C79C2211yescharacteristic
57#400×C79C2211yescharacteristic
58#400×C79C2211yescharacteristic
59#400×C79C2211yescharacteristic
60#400×C79C2211yescharacteristic
61#399×C79C2211yescharacteristic
62#399×C79C2211yescharacteristic
63#399×C79C2211yescharacteristic
64#399×C79C2211yescharacteristic
65#399×C79C2211yescharacteristic
66#399×C79C2211yescharacteristic
67#398×C79C2211yescharacteristic
68#398×C79C2211yescharacteristic
69#398×C79C2211yescharacteristic
70#398×C79C2211yescharacteristic
71#398×C79C2211yescharacteristic
72#398×C79C2211yescharacteristic
73#398×C79C2211yescharacteristic
74#398×C79C2211yescharacteristic
75#398×C79C2211yescharacteristic
76#398×C79C2211yescharacteristic
77#398×C79C2211yescharacteristic
78#398×C79C2211yescharacteristic
79#398×C79C2211yescharacteristic
80#398×C79C2211yescharacteristic
81#398×C79C2211yescharacteristic
82#398×C79C2211yescharacteristic
83#397×C79C2211yescharacteristic
84#397×C79C2211yescharacteristic
85#397×C79C2211yescharacteristic
86#397×C79C2211yescharacteristic
87#397×C79C2211yescharacteristic
88#397×C79C2211yescharacteristic
89#397×C79C2211yescharacteristic
90#397×C79C2211yescharacteristic
91#397×C79C2211yescharacteristic
92#397×C79C2211yescharacteristic
93#397×C79C2211yescharacteristic
94#397×C79C2211yescharacteristic
95#397×C79C2211yescharacteristic
96#397×C79C2211yescharacteristic
97#397×C79C2211yescharacteristic
98#397×C79C2211yescharacteristic
99#396×C79C2211yescharacteristic
100#396×C79C2211yescharacteristic
101#396×C79C2211yescharacteristic
102#396×C79C2211yescharacteristic
103#396×C79C2211yescharacteristic
104#396×C79C2211yescharacteristic
105#396×C79C2211yescharacteristic
106#396×C79C2211yescharacteristic
107#396×C79C2211yescharacteristic
108#396×C79C2211yescharacteristic
109#396×C79C2211yescharacteristic
110#396×C79C2211yescharacteristic
111#395×C79C2211yescharacteristic
112#395×C79C2211yescharacteristic
113#395×C79C2211yescharacteristic
114#394×C79C2211yescharacteristic
115#394×C79C2211yescharacteristic
116#394×C79C2211yescharacteristic
117#394×C79C2211yescharacteristic
118#394×C79C2211yescharacteristic
119#394×C79C2211yescharacteristic
120#394×C79C2211yescharacteristic
121#394×C79C2211yescharacteristic
122#394×C79C2211yescharacteristic
123#394×C79C2211yescharacteristic
124#394×C79C2211yescharacteristic
125#394×C79C2211yescharacteristic
126#394×C79C2211yescharacteristic
127#394×C79C2211yescharacteristic
128#394×C79C2211yescharacteristic
129#394×C79C2211yescharacteristic
130#394×C79C2211yescharacteristic
131#394×C79C2211yescharacteristic
132#394×C79C2211yescharacteristic
133#393×C79C2211yescharacteristic
134#393×C79C2211yescharacteristic
135#393×C79C2211yescharacteristic
136#393×C79C2211yescharacteristic
137#393×C79C2211yescharacteristic
138#393×C79C2211yescharacteristic
139#393×C79C2211yescharacteristic
140#392×C79C2211yescharacteristic
141#392×C79C2211yescharacteristic
142#392×C79C2211yescharacteristic
143#391×C79C2211yescharacteristic
144#390×C79C2211yescharacteristic
145#389×C79C2211yescharacteristic
146#389×C79C2211yescharacteristic
147#388×C79C2211yescharacteristic
148#388×C79C2211yescharacteristic
149#388×C79C2211yescharacteristic
150#388×C79C2211yescharacteristic
151#387×C79C2211yescharacteristic
152#387×C79C2211yescharacteristic
153#387×C79C2211yescharacteristic
154#387×C79C2211yescharacteristic
155#386×C79C2211yescharacteristic
156#386×C79C2211yescharacteristic
157#386×C79C2211yescharacteristic
158#385×C79C2211yescharacteristic
159#385×C79C2211yescharacteristic
160#385×C79C2211yescharacteristic
161#381×C79C2211yescharacteristic
162#380×C79C2211yescharacteristic
163#380×C79C2211yescharacteristic
164C4×C4⋊C4×C79C2211yescharacteristic
165C4×C4⋊C4×C79C2211yescharacteristic
166C4×C4⋊C4×C79C2211yescharacteristic
167C4×C4⋊C4×C79C2211yescharacteristic
168C4×C4⋊C4×C79C2211yescharacteristic
169C4×C4⋊C4×C79C2211yescharacteristic
170C4×C4⋊C4×C79C2211yescharacteristic
171C4×C4⋊C4×C79C2211yescharacteristic
172C4×C4⋊C4×C79C2211yescharacteristic
173C4×C4⋊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
181C4×C22⋊C4×C79C2211yescharacteristic
182C4×C22⋊C4×C79C2211yescharacteristic
183C4×C22⋊C4×C79C2211yescharacteristic
184C4×C22⋊C4×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186#376×C79C2211yescharacteristic
187C22×Q8×C79C2311yescharacteristic
188C22×Q8×C79C2311yescharacteristic
189C22×D4×C79C2311yescharacteristic
190C22×D4×C79C2311yescharacteristic
191C22×D4×C79C2311yescharacteristic
192C22×D4×C79C2311yescharacteristic
193C22×D4×C79C2311yescharacteristic
194C22×D4×C79C2311yescharacteristic
195C23×C4×C79C2311yescharacteristic
196C23×C4×C79C2311yescharacteristic
197C23×C4×C79C2311yescharacteristic
198C23×C4×C79C2311yescharacteristic
199C23×C4×C79C2311yescharacteristic
200C23×C4×C79C2311yescharacteristic
201#123×C79—24no—
202C22⋊Q8×C79—24no—
203#121×C79—24no—
204C4×Q8×C79—42no—
205C4×Q8×C79—42no—
206C4×D4×C79—42no—
207C4×D4×C79—42no—
208C4×D4×C79—42no—
209C4×D4×C79—42no—
210C4×D4×C79—42no—
211C4×D4×C79—42no—
212#117×C79—42no—
213#117×C79—42no—
214#117×C79—42no—
215C2×C4⋊C4×C79C2311yescharacteristic
216C2×C4⋊C4×C79C2311yescharacteristic
217C2×C4⋊C4×C79C2311yescharacteristic
218C2×C4⋊C4×C79C2311yescharacteristic
219C2×C4⋊C4×C79C2311yescharacteristic
220C2×C4⋊C4×C79C2311yescharacteristic
221C2×C4⋊C4×C79C2311yescharacteristic
222C2×C4⋊C4×C79C2311yescharacteristic
223C2×C4⋊C4×C79C2311yescharacteristic
224C2×C4⋊C4×C79C2311yescharacteristic
225C2×C4⋊C4×C79C2311yescharacteristic
226C2×C4⋊C4×C79C2311yescharacteristic
227C2×C4⋊C4×C79C2311yescharacteristic
228C2×C4⋊C4×C79C2311yescharacteristic
229C2×C4⋊C4×C79C2311yescharacteristic
230C2×C4⋊C4×C79C2311yescharacteristic
231C2×C4⋊C4×C79C2311yescharacteristic
232C2×C4⋊C4×C79C2311yescharacteristic
233C2×C4⋊C4×C79C2311yescharacteristic
234C2×C4⋊C4×C79C2311yescharacteristic
235C2×C4⋊C4×C79C2311yescharacteristic
236C2×C4⋊C4×C79C2311yescharacteristic
237C2×C4⋊C4×C79C2311yescharacteristic
238C2×C4⋊C4×C79C2311yescharacteristic
239C2×C4⋊C4×C79C2311yescharacteristic
240C2×C4⋊C4×C79C2311yescharacteristic
241C2×C4⋊C4×C79C2311yescharacteristic
242C2×C4⋊C4×C79C2311yescharacteristic
243C2×C4⋊C4×C79C2311yescharacteristic
244C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
254C2×C22⋊C4×C79C2311yescharacteristic
255C2×C22⋊C4×C79C2311yescharacteristic
256C2×C22⋊C4×C79C2311yescharacteristic
257C2×C22⋊C4×C79C2311yescharacteristic
258C2×C22⋊C4×C79C2311yescharacteristic
259C2×C22⋊C4×C79C2311yescharacteristic
260C2×C22⋊C4×C79C2311yescharacteristic
261C2×C22⋊C4×C79C2311yescharacteristic
262C2×C22⋊C4×C79C2311yescharacteristic
263C2×C22⋊C4×C79C2311yescharacteristic
264C2×C22⋊C4×C79C2311yescharacteristic
265C2×C22⋊C4×C79C2311yescharacteristic
266C2×C22⋊C4×C79C2311yescharacteristic
267C2×C22⋊C4×C79C2311yescharacteristic
268C2×C22⋊C4×C79C2311yescharacteristic
269C2×C22⋊C4×C79C2311yescharacteristic
270C2×C22⋊C4×C79C2311yescharacteristic
271C2×C22⋊C4×C79C2311yescharacteristic
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×C42×C79—42no—
296C2×C42×C79C2311yescharacteristic
297C2×C42×C79C2311yescharacteristic
298C2×C42×C79C2311yescharacteristic
299C2×C42×C79C2311yescharacteristic
300C2×C42×C79C2311yescharacteristic
301C2×C42×C79C2311yescharacteristic
302C2×C42×C79C2311yescharacteristic
303C2×C42×C79C2311yescharacteristic
304C2×C42×C79C2311yescharacteristic
305C2×C42×C79C2311yescharacteristic
306C2×C42×C79C2311yescharacteristic
307C2×C42×C79C2311yescharacteristic
308C2×C42×C79C2311yescharacteristic
309#95×C79C2311yescharacteristic
310#95×C79C2311yescharacteristic
311#95×C79C2311yescharacteristic
312#95×C79C2311yescharacteristic
313#95×C79C2311yescharacteristic
314#95×C79C2311yescharacteristic
315#95×C79C2311yescharacteristic
316#95×C79C2311yescharacteristic
317#95×C79C2311yescharacteristic
318#95×C79C2311yescharacteristic
319#95×C79C2311yescharacteristic
320#95×C79C2311yescharacteristic
321#95×C79C2311yescharacteristic
322#95×C79C2311yescharacteristic
323#95×C79C2311yescharacteristic
324#95×C79C2311yescharacteristic
325#95×C79C2311yescharacteristic
326#95×C79C2311yescharacteristic
327#95×C79C2311yescharacteristic
328#95×C79C2311yescharacteristic
329#95×C79C2311yescharacteristic
330#95×C79C2311yescharacteristic
331#95×C79C2311yescharacteristic
332#95×C79C2311yescharacteristic
333#95×C79C2311yescharacteristic
334#95×C79C2311yescharacteristic
335#95×C79C2311yescharacteristic
336#95×C79C2311yescharacteristic
337#95×C79C2311yescharacteristic
338#95×C79C2311yescharacteristic
339#95×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
357C24×C79C2411yescharacteristic
358C24×C79C2411yescharacteristic
359C24×C79C2411yescharacteristic
360C24×C79C2411yescharacteristic
361C2×Q8×C79—22no—
362C2×Q8×C79—41no—
363C2×Q8×C79—41no—
364C2×Q8×C79—41no—
365C2×Q8×C79—41no—
366C2×Q8×C79—41no—
367C2×D4×C79—22no—
368C2×D4×C79—22no—
369C2×D4×C79—22no—
370C2×D4×C79—22no—
371C2×D4×C79—41no—
372C2×D4×C79—41no—
373C2×D4×C79—41no—
374C2×D4×C79—41no—
375C2×D4×C79—41no—
376C2×D4×C79—41no—
377C2×D4×C79—41no—
378C2×D4×C79—41no—
379C2×D4×C79—41no—
380C2×D4×C79—41no—
381C2×D4×C79—41no—
382C2×D4×C79—41no—
383C2×D4×C79—41no—
384C2×D4×C79—41no—
385C22×C4×C79—22no—
386C22×C4×C79—22no—
387C22×C4×C79—22no—
388C22×C4×C79—22no—
389C22×C4×C79—22no—
390C22×C4×C79—22no—
391C22×C4×C79—22no—
392C22×C4×C79—22no—
393C22×C4×C79—22no—
394C22×C4×C79—22no—
395C22×C4×C79—22no—
396C22×C4×C79—22no—
397C22×C4×C79—41no—
398C22×C4×C79—41no—
399C22×C4×C79—41no—
400C22×C4×C79—41no—
401C22×C4×C79—41no—
402C22×C4×C79#4114yes—
403C22×C4×C79C2411yescharacteristic
404C22×C4×C79C2411yescharacteristic
405C22×C4×C79C2411yescharacteristic
406C22×C4×C79C2411yescharacteristic
407C22×C4×C79C2411yescharacteristic
408C22×C4×C79C2411yescharacteristic
409C22×C4×C79C2411yescharacteristic
410C22×C4×C79C2411yescharacteristic
411C22×C4×C79C2411yescharacteristic
412C22×C4×C79C2411yescharacteristic
413C22×C4×C79C2411yescharacteristic
414C22×C4×C79C2411yescharacteristic
415C22×C4×C79C2411yescharacteristic
416C22×C4×C79C2411yescharacteristic
417C22×C4×C79C2411yescharacteristic
418C22×C4×C79C2411yescharacteristic
419C22×C4×C79C2411yescharacteristic
420C22×C4×C79C2411yescharacteristic
421C22×C4×C79C2411yescharacteristic
422C22×C4×C79C2411yescharacteristic
423C22×C4×C79C2411yescharacteristic
424C22×C4×C79C2411yescharacteristic
425C22×C4×C79C2411yescharacteristic
426C22×C4×C79C2411yescharacteristic
427C22×C4×C79C2411yescharacteristic
428C22×C4×C79C2411yescharacteristic
429C22×C4×C79C2411yescharacteristic
430C4⋊C4×C79—22no—
431C4⋊C4×C79—22no—
432C4⋊C4×C79—22no—
433C4⋊C4×C79—22no—
434C4⋊C4×C79—22no—
435C4⋊C4×C79—22no—
436C4⋊C4×C79—41no—
437C4⋊C4×C79—41no—
438C4⋊C4×C79—41no—
439C4⋊C4×C79—41no—
440C4⋊C4×C79—41no—
441C4⋊C4×C79—41no—
442C4⋊C4×C79—41no—
443C4⋊C4×C79—41no—
444C4⋊C4×C79—41no—
445C4⋊C4×C79—41no—
446C4⋊C4×C79—41no—
447C4⋊C4×C79—41no—
448C4⋊C4×C79—41no—
449C4⋊C4×C79—41no—
450C4⋊C4×C79—41no—
451C4⋊C4×C79—41no—
452C4⋊C4×C79—41no—
453C4⋊C4×C79—41no—
454C4⋊C4×C79—41no—
455C4⋊C4×C79—41no—
456C4⋊C4×C79—41no—
457C4⋊C4×C79—41no—
458C4⋊C4×C79—41no—
459C4⋊C4×C79—41no—
460C4⋊C4×C79—41no—
461C4⋊C4×C79—41no—
462C4⋊C4×C79—41no—
463C4⋊C4×C79—41no—
464C4⋊C4×C79—41no—
465C4⋊C4×C79—41no—
466C4⋊C4×C79—41no—
467C4⋊C4×C79—41no—
468C22⋊C4×C79—22no—
469C22⋊C4×C79—22no—
470C22⋊C4×C79—22no—
471C22⋊C4×C79—22no—
472C22⋊C4×C79—22no—
473C22⋊C4×C79—22no—
474C22⋊C4×C79—22no—
475C22⋊C4×C79—41no—
476C22⋊C4×C79—41no—
477C22⋊C4×C79—41no—
478C22⋊C4×C79—41no—
479C22⋊C4×C79—41no—
480C22⋊C4×C79—41no—
481C22⋊C4×C79—41no—
482C22⋊C4×C79—41no—
483C22⋊C4×C79—41no—
484C22⋊C4×C79—41no—
485C22⋊C4×C79—41no—
486C22⋊C4×C79—41no—
487C22⋊C4×C79—41no—
488C22⋊C4×C79—41no—
489C22⋊C4×C79—41no—
490C22⋊C4×C79—41no—
491C22⋊C4×C79—41no—
492C22⋊C4×C79—41no—
493C22⋊C4×C79—41no—
494C22⋊C4×C79—41no—
495C22⋊C4×C79—41no—
496C22⋊C4×C79—41no—
497C22⋊C4×C79—41no—
498C22⋊C4×C79—41no—
499C22⋊C4×C79—41no—
500C22⋊C4×C79—41no—
501C22⋊C4×C79—41no—
502C22⋊C4×C79—41no—
503C22⋊C4×C79—41no—
504C22⋊C4×C79—41no—
505C22⋊C4×C79—41no—
506C22⋊C4×C79—41no—
507C22⋊C4×C79—41no—
508C22⋊C4×C79—41no—
509C22⋊C4×C79—41no—
510C42×C79—22no—
511C42×C79—22no—
512C42×C79—22no—
513C42×C79—22no—
514C42×C79—22no—
515C42×C79—22no—
516C42×C79—22no—
517C42×C79—22no—
518C42×C79—22no—
519C42×C79—22no—
520C42×C79—22no—
521C42×C79—41no—
522C42×C79—41no—
523C23×C79—21no—
524C23×C79—21no—
525C23×C79—21no—
526C23×C79—21no—
527C23×C79—21no—
528C23×C79—21no—
529C23×C79—21no—
530C23×C79—21no—
531C23×C79—21no—
532C23×C79—21no—
533C23×C79—21no—
534C23×C79—21no—
535C23×C79—21no—
536C23×C79—21no—
537C23×C79—21no—
538C23×C79—21no—
539C23×C79—21no—
540C23×C79—21no—
541C23×C79—21no—
542C23×C79—21no—
543C23×C79—21no—
544C23×C79—21no—
545C23×C79—21no—
546C23×C79—21no—
547C23×C79—21no—
548C23×C79—21no—
549C23×C79—21no—
550C23×C79C2×#4112yes—
551C23×C79C2511yescharacteristic
552Q8×C79—44no—
553Q8×C79—44no—
554D4×C79—44no—
555D4×C79—44no—
556D4×C79—44no—
557D4×C79—44no—
558D4×C79—44no—
559D4×C79—44no—
560C2×C4×C79—21no—
561C2×C4×C79—21no—
562C2×C4×C79—21no—
563C2×C4×C79—21no—
564C2×C4×C79—21no—
565C2×C4×C79—21no—
566C2×C4×C79—21no—
567C2×C4×C79—21no—
568C2×C4×C79—21no—
569C2×C4×C79—21no—
570C2×C4×C79—21no—
571C2×C4×C79—21no—
572C2×C4×C79—21no—
573C2×C4×C79—21no—
574C2×C4×C79—21no—
575C2×C4×C79—21no—
576C2×C4×C79—21no—
577C2×C4×C79—21no—
578C2×C4×C79—21no—
579C2×C4×C79—21no—
580C2×C4×C79—21no—
581C2×C4×C79—21no—
582C2×C4×C79—21no—
583C2×C4×C79—21no—
584C2×C4×C79—21no—
585C2×C4×C79—21no—
586C2×C4×C79—21no—
587C2×C4×C79—21no—
588C2×C4×C79—21no—
589C2×C4×C79—21no—
590C2×C4×C79—21no—
591C2×C4×C79—21no—
592C2×C4×C79—21no—
593C2×C4×C79—21no—
594C2×C4×C79—21no—
595C2×C4×C79—21no—
596C2×C4×C79—21no—
597C2×C4×C79—21no—
598C2×C4×C79—21no—
599C2×C4×C79—21no—
600C2×C4×C79—21no—
601C2×C4×C79—21no—
602C2×C4×C79—21no—
603C2×C4×C79—21no—
604C2×C4×C79—21no—
605C2×C4×C79—21no—
606C2×C4×C79—21no—
607C2×C4×C79—21no—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—44no—
637C2×C4×C79—44no—
638C2×C4×C79—44no—
639C2×C4×C79—44no—
640C2×C4×C79—44no—
641C2×C4×C79—44no—
642C2×C4×C79C2×#4112yes—
643C2×C4×C79C2×#4112yes—
644C2×C4×C79H(5,𝔽2)12yes—
645C2×C4×C79H(5,𝔽2)12yes—
646C2×C4×C792−1+412yes—
647C22×C79—22no—
648C22×C79—22no—
649C22×C79—22no—
650C22×C79—41no—
651C22×C79—41no—
652C22×C79—41no—
653C22×C79—41no—
654C22×C79—41no—
655C22×C79—41no—
656C22×C79—41no—
657C22×C79—41no—
658C22×C79—41no—
659C22×C79—41no—
660C22×C79—41no—
661C22×C79—41no—
662C22×C79—41no—
663C22×C79—41no—
664C22×C79—41no—
665C22×C79—41no—
666C22×C79—41no—
667C22×C79—41no—
668C22×C79—41no—
669C22×C79—41no—
670C22×C79—41no—
671C22×C79—41no—
672C22×C79—41no—
673C22×C79—41no—
674C22×C79—41no—
675C22×C79C22×#4111yescharacteristic
676C22×C79C2×H(5,𝔽2)11yescharacteristic
677C22×C79C2×H(5,𝔽2)11yescharacteristic
678C22×C79C2×2−1+411yescharacteristic
679C22×C79#58511yescharacteristic
680C22×C79#58511yescharacteristic
681C22×C79#58511yescharacteristic
682C4×C79—22no—
683C4×C79—22no—
684C4×C79—41no—
685C4×C79—41no—
686C4×C79—41no—
687C4×C79—41no—
688C4×C79—41no—
689C4×C79—41no—
690C4×C79—41no—
691C4×C79—41no—
692C4×C79—41no—
693C4×C79—41no—
694C4×C79—41no—
695C4×C79—41no—
696C4×C79—41no—
697C4×C79—41no—
698C4×C79—41no—
699C4×C79—41no—
700C4×C79—41no—
701C4×C79—41no—
702C4×C79—41no—
703C4×C79—41no—
704C4×C79—41no—
705C4×C79—41no—
706C4×C79—41no—
707C4×C79—41no—
708C4×C79#56214yes—
709#36678C7911yesmaximal, characteristic, direct product factor, Sylow
710C2×C79—42no—
711C2×C79—81no—
712C2×C79—81no—
713C2×C79—81no—
714C2×C79#345911yescharacteristic
715C2×C79#346011yescharacteristic
716C2×C79#346111yescharacteristic
717C2×C79C2×#56211yescharacteristic
718C2×C79#352911yescharacteristic
719C2×C79#352911yescharacteristic
720C2×C79#353111yescharacteristic
721#2841C2×C7911yescharacteristic, complemented
722#2839C2×C7911yescharacteristic, complemented
723#2837C2×C7911yescharacteristic, complemented
724#2836C2×C7911yescharacteristic, complemented
725#2836C2×C7911yescharacteristic, complemented
726#2832C2×C7911yescharacteristic, complemented
727#2831C2×C7911yescharacteristic, complemented
728#2830C2×C7911yescharacteristic, complemented
729#2829C2×C7911yescharacteristic, complemented
730#2827C2×C7911yescharacteristic, complemented
731#2827C2×C7911yescharacteristic, complemented
732#2826C2×C7911yescharacteristic, complemented
733#2824C2×C7911yescharacteristic, complemented
734#2816C2×C7911yescharacteristic, complemented
735#2814C2×C7911yescharacteristic, complemented
736#2813C2×C7911yescharacteristic
737#2402C2×C7911yescharacteristic, complemented
738#2398C2×C7911yescharacteristic, complemented
739#2398C2×C7911yescharacteristic, complemented
740#2396C2×C7911yescharacteristic, complemented
741#2396C2×C7911yescharacteristic, complemented
742#2396C2×C7911yescharacteristic, complemented
743#2395C2×C7911yescharacteristic, complemented
744#2395C2×C7911yescharacteristic, complemented
745#2395C2×C7911yescharacteristic, complemented
746#2392C2×C7911yescharacteristic, complemented
747#2392C2×C7911yescharacteristic, complemented
748#2392C2×C7911yescharacteristic, complemented
749C4×C22⋊Q8C2×C7911yescharacteristic, complemented
750C4×#123C2×C7911yescharacteristic, complemented
751C4×#121C2×C7911yescharacteristic, complemented
752C79#3667811yescharacteristic, direct product factor, Sylow
753C2×#123C22×C7911yescharacteristic
754C2×C22⋊Q8C22×C7911yescharacteristic
755C2×#121C22×C7911yescharacteristic
756C2×C4×Q8C22×C7911yescharacteristic
757C2×C4×Q8C22×C7911yescharacteristic
758C2×C4×D4C22×C7911yescharacteristic
759C2×C4×D4C22×C7911yescharacteristic
760C2×C4×D4C22×C7911yescharacteristic
761C2×C4×D4C22×C7911yescharacteristic
762C2×C4×D4C22×C7911yescharacteristic
763C2×C4×D4C22×C7911yescharacteristic
764C2×#117C22×C7911yescharacteristic
765C2×#117C22×C7911yescharacteristic
766C2×#117C22×C7911yescharacteristic
767C22×C42C22×C7911yescharacteristic
768#400C22×C7911yescharacteristic
769#400C22×C7911yescharacteristic
770#400C22×C7911yescharacteristic
771#400C22×C7911yescharacteristic
772#400C22×C7911yescharacteristic
773#400C22×C7911yescharacteristic
774#400C22×C7911yescharacteristic
775#400C22×C7911yescharacteristic
776#400C22×C7911yescharacteristic
777#400C22×C7911yescharacteristic
778#400C22×C7911yescharacteristic
779#400C22×C7911yescharacteristic
780#400C22×C7911yescharacteristic
781#400C22×C7911yescharacteristic
782#399C22×C7911yescharacteristic
783#399C22×C7911yescharacteristic
784#399C22×C7911yescharacteristic
785#399C22×C7911yescharacteristic
786#399C22×C7911yescharacteristic
787#399C22×C7911yescharacteristic
788#398C22×C7911yescharacteristic
789#398C22×C7911yescharacteristic
790#398C22×C7911yescharacteristic
791#398C22×C7911yescharacteristic
792#398C22×C7911yescharacteristic
793#398C22×C7911yescharacteristic
794#398C22×C7911yescharacteristic
795#398C22×C7911yescharacteristic
796#398C22×C7911yescharacteristic
797#398C22×C7911yescharacteristic
798#398C22×C7911yescharacteristic
799#398C22×C7911yescharacteristic
800#398C22×C7911yescharacteristic
801#398C22×C7911yescharacteristic
802#398C22×C7911yescharacteristic
803#398C22×C7911yescharacteristic
804#397C22×C7911yescharacteristic
805#397C22×C7911yescharacteristic
806#397C22×C7911yescharacteristic
807#397C22×C7911yescharacteristic
808#397C22×C7911yescharacteristic
809#397C22×C7911yescharacteristic
810#397C22×C7911yescharacteristic
811#397C22×C7911yescharacteristic
812#397C22×C7911yescharacteristic
813#397C22×C7911yescharacteristic
814#397C22×C7911yescharacteristic
815#397C22×C7911yescharacteristic
816#397C22×C7911yescharacteristic
817#397C22×C7911yescharacteristic
818#397C22×C7911yescharacteristic
819#397C22×C7911yescharacteristic
820#396C22×C7911yescharacteristic
821#396C22×C7911yescharacteristic
822#396C22×C7911yescharacteristic
823#396C22×C7911yescharacteristic
824#396C22×C7911yescharacteristic
825#396C22×C7911yescharacteristic
826#396C22×C7911yescharacteristic
827#396C22×C7911yescharacteristic
828#396C22×C7911yescharacteristic
829#396C22×C7911yescharacteristic
830#396C22×C7911yescharacteristic
831#396C22×C7911yescharacteristic
832#395C22×C7911yescharacteristic
833#395C22×C7911yescharacteristic
834#395C22×C7911yescharacteristic
835#394C22×C7911yescharacteristic
836#394C22×C7911yescharacteristic
837#394C22×C7911yescharacteristic
838#394C22×C7911yescharacteristic
839#394C22×C7911yescharacteristic
840#394C22×C7911yescharacteristic
841#394C22×C7911yescharacteristic
842#394C22×C7911yescharacteristic
843#394C22×C7911yescharacteristic
844#394C22×C7911yescharacteristic
845#394C22×C7911yescharacteristic
846#394C22×C7911yescharacteristic
847#394C22×C7911yescharacteristic
848#394C22×C7911yescharacteristic
849#394C22×C7911yescharacteristic
850#394C22×C7911yescharacteristic
851#394C22×C7911yescharacteristic
852#394C22×C7911yescharacteristic
853#394C22×C7911yescharacteristic
854#393C22×C7911yescharacteristic
855#393C22×C7911yescharacteristic
856#393C22×C7911yescharacteristic
857#393C22×C7911yescharacteristic
858#393C22×C7911yescharacteristic
859#393C22×C7911yescharacteristic
860#393C22×C7911yescharacteristic
861#392C22×C7911yescharacteristic
862#392C22×C7911yescharacteristic
863#392C22×C7911yescharacteristic
864#391C22×C7911yescharacteristic
865#390C22×C7911yescharacteristic
866#389C22×C7911yescharacteristic
867#389C22×C7911yescharacteristic
868#388C22×C7911yescharacteristic
869#388C22×C7911yescharacteristic
870#388C22×C7911yescharacteristic
871#388C22×C7911yescharacteristic
872#387C22×C7911yescharacteristic
873#387C22×C7911yescharacteristic
874#387C22×C7911yescharacteristic
875#387C22×C7911yescharacteristic
876#386C22×C7911yescharacteristic
877#386C22×C7911yescharacteristic
878#386C22×C7911yescharacteristic
879#385C22×C7911yescharacteristic
880#385C22×C7911yescharacteristic
881#385C22×C7911yescharacteristic
882#381C22×C7911yescharacteristic
883#380C22×C7911yescharacteristic
884#380C22×C7911yescharacteristic
885C4×C4⋊C4C22×C7911yescharacteristic
886C4×C4⋊C4C22×C7911yescharacteristic
887C4×C4⋊C4C22×C7911yescharacteristic
888C4×C4⋊C4C22×C7911yescharacteristic
889C4×C4⋊C4C22×C7911yescharacteristic
890C4×C4⋊C4C22×C7911yescharacteristic
891C4×C4⋊C4C22×C7911yescharacteristic
892C4×C4⋊C4C22×C7911yescharacteristic
893C4×C4⋊C4C22×C7911yescharacteristic
894C4×C4⋊C4C22×C7911yescharacteristic
895C4×C22⋊C4C22×C7911yescharacteristic
896C4×C22⋊C4C22×C7911yescharacteristic
897C4×C22⋊C4C22×C7911yescharacteristic
898C4×C22⋊C4C22×C7911yescharacteristic
899C4×C22⋊C4C22×C7911yescharacteristic
900C4×C22⋊C4C22×C7911yescharacteristic
901C4×C22⋊C4C22×C7911yescharacteristic
902C4×C22⋊C4C22×C7911yescharacteristic
903C4×C22⋊C4C22×C7911yescharacteristic
904C4×C22⋊C4C22×C7911yescharacteristic
905C4×C22⋊C4C22×C7911yescharacteristic
906C4×C22⋊C4C22×C7911yescharacteristic
907#376C22×C7911yescharacteristic
908C22×Q8C23×C7911yescharacteristic
909C22×Q8C23×C7911yescharacteristic
910C22×D4C23×C7911yescharacteristic
911C22×D4C23×C7911yescharacteristic
912C22×D4C23×C7911yescharacteristic
913C22×D4C23×C7911yescharacteristic
914C22×D4C23×C7911yescharacteristic
915C22×D4C23×C7911yescharacteristic
916C23×C4C23×C7911yescharacteristic
917C23×C4C23×C7911yescharacteristic
918C23×C4C23×C7911yescharacteristic
919C23×C4C23×C7911yescharacteristic
920C23×C4C23×C7911yescharacteristic
921C23×C4C23×C7911yescharacteristic
922#123—24no—
923C22⋊Q8—24no—
924#121—24no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—42no—
933#117—42no—
934#117—42no—
935#117—42no—
936C2×C4⋊C4C23×C7911yescharacteristic
937C2×C4⋊C4C23×C7911yescharacteristic
938C2×C4⋊C4C23×C7911yescharacteristic
939C2×C4⋊C4C23×C7911yescharacteristic
940C2×C4⋊C4C23×C7911yescharacteristic
941C2×C4⋊C4C23×C7911yescharacteristic
942C2×C4⋊C4C23×C7911yescharacteristic
943C2×C4⋊C4C23×C7911yescharacteristic
944C2×C4⋊C4C23×C7911yescharacteristic
945C2×C4⋊C4C23×C7911yescharacteristic
946C2×C4⋊C4C23×C7911yescharacteristic
947C2×C4⋊C4C23×C7911yescharacteristic
948C2×C4⋊C4C23×C7911yescharacteristic
949C2×C4⋊C4C23×C7911yescharacteristic
950C2×C4⋊C4C23×C7911yescharacteristic
951C2×C4⋊C4C23×C7911yescharacteristic
952C2×C4⋊C4C23×C7911yescharacteristic
953C2×C4⋊C4C23×C7911yescharacteristic
954C2×C4⋊C4C23×C7911yescharacteristic
955C2×C4⋊C4C23×C7911yescharacteristic
956C2×C4⋊C4C23×C7911yescharacteristic
957C2×C4⋊C4C23×C7911yescharacteristic
958C2×C4⋊C4C23×C7911yescharacteristic
959C2×C4⋊C4C23×C7911yescharacteristic
960C2×C4⋊C4C23×C7911yescharacteristic
961C2×C4⋊C4C23×C7911yescharacteristic
962C2×C4⋊C4C23×C7911yescharacteristic
963C2×C4⋊C4C23×C7911yescharacteristic
964C2×C4⋊C4C23×C7911yescharacteristic
965C2×C4⋊C4C23×C7911yescharacteristic
966C2×C4⋊C4C23×C7911yescharacteristic
967C2×C4⋊C4C23×C7911yescharacteristic
968C2×C4⋊C4C23×C7911yescharacteristic
969C2×C4⋊C4C23×C7911yescharacteristic
970C2×C4⋊C4C23×C7911yescharacteristic
971C2×C4⋊C4C23×C7911yescharacteristic
972C2×C4⋊C4C23×C7911yescharacteristic
973C2×C4⋊C4C23×C7911yescharacteristic
974C2×C22⋊C4C23×C7911yescharacteristic
975C2×C22⋊C4C23×C7911yescharacteristic
976C2×C22⋊C4C23×C7911yescharacteristic
977C2×C22⋊C4C23×C7911yescharacteristic
978C2×C22⋊C4C23×C7911yescharacteristic
979C2×C22⋊C4C23×C7911yescharacteristic
980C2×C22⋊C4C23×C7911yescharacteristic
981C2×C22⋊C4C23×C7911yescharacteristic
982C2×C22⋊C4C23×C7911yescharacteristic
983C2×C22⋊C4C23×C7911yescharacteristic
984C2×C22⋊C4C23×C7911yescharacteristic
985C2×C22⋊C4C23×C7911yescharacteristic
986C2×C22⋊C4C23×C7911yescharacteristic
987C2×C22⋊C4C23×C7911yescharacteristic
988C2×C22⋊C4C23×C7911yescharacteristic
989C2×C22⋊C4C23×C7911yescharacteristic
990C2×C22⋊C4C23×C7911yescharacteristic
991C2×C22⋊C4C23×C7911yescharacteristic
992C2×C22⋊C4C23×C7911yescharacteristic
993C2×C22⋊C4C23×C7911yescharacteristic
994C2×C22⋊C4C23×C7911yescharacteristic
995C2×C22⋊C4C23×C7911yescharacteristic
996C2×C22⋊C4C23×C7911yescharacteristic
997C2×C22⋊C4C23×C7911yescharacteristic
998C2×C22⋊C4C23×C7911yescharacteristic
999C2×C22⋊C4C23×C7911yescharacteristic
1000C2×C22⋊C4C23×C7911yescharacteristic
1001C2×C22⋊C4C23×C7911yescharacteristic
1002C2×C22⋊C4C23×C7911yescharacteristic
1003C2×C22⋊C4C23×C7911yescharacteristic
1004C2×C22⋊C4C23×C7911yescharacteristic
1005C2×C22⋊C4C23×C7911yescharacteristic
1006C2×C22⋊C4C23×C7911yescharacteristic
1007C2×C22⋊C4C23×C7911yescharacteristic
1008C2×C22⋊C4C23×C7911yescharacteristic
1009C2×C22⋊C4C23×C7911yescharacteristic
1010C2×C22⋊C4C23×C7911yescharacteristic
1011C2×C22⋊C4C23×C7911yescharacteristic
1012C2×C22⋊C4C23×C7911yescharacteristic
1013C2×C22⋊C4C23×C7911yescharacteristic
1014C2×C22⋊C4C23×C7911yescharacteristic
1015C2×C22⋊C4C23×C7911yescharacteristic
1016C2×C42—42no—
1017C2×C42C23×C7911yescharacteristic
1018C2×C42C23×C7911yescharacteristic
1019C2×C42C23×C7911yescharacteristic
1020C2×C42C23×C7911yescharacteristic
1021C2×C42C23×C7911yescharacteristic
1022C2×C42C23×C7911yescharacteristic
1023C2×C42C23×C7911yescharacteristic
1024C2×C42C23×C7911yescharacteristic
1025C2×C42C23×C7911yescharacteristic
1026C2×C42C23×C7911yescharacteristic
1027C2×C42C23×C7911yescharacteristic
1028C2×C42C23×C7911yescharacteristic
1029C2×C42C23×C7911yescharacteristic
1030#95C23×C7911yescharacteristic
1031#95C23×C7911yescharacteristic
1032#95C23×C7911yescharacteristic
1033#95C23×C7911yescharacteristic
1034#95C23×C7911yescharacteristic
1035#95C23×C7911yescharacteristic
1036#95C23×C7911yescharacteristic
1037#95C23×C7911yescharacteristic
1038#95C23×C7911yescharacteristic
1039#95C23×C7911yescharacteristic
1040#95C23×C7911yescharacteristic
1041#95C23×C7911yescharacteristic
1042#95C23×C7911yescharacteristic
1043#95C23×C7911yescharacteristic
1044#95C23×C7911yescharacteristic
1045#95C23×C7911yescharacteristic
1046#95C23×C7911yescharacteristic
1047#95C23×C7911yescharacteristic
1048#95C23×C7911yescharacteristic
1049#95C23×C7911yescharacteristic
1050#95C23×C7911yescharacteristic
1051#95C23×C7911yescharacteristic
1052#95C23×C7911yescharacteristic
1053#95C23×C7911yescharacteristic
1054#95C23×C7911yescharacteristic
1055#95C23×C7911yescharacteristic
1056#95C23×C7911yescharacteristic
1057#95C23×C7911yescharacteristic
1058#95C23×C7911yescharacteristic
1059#95C23×C7911yescharacteristic
1060#95C23×C7911yescharacteristic
1061#95C23×C7911yescharacteristic
1062#95C23×C7911yescharacteristic
1063#95C23×C7911yescharacteristic
1064#95C23×C7911yescharacteristic
1065#95C23×C7911yescharacteristic
1066#95C23×C7911yescharacteristic
1067#95C23×C7911yescharacteristic
1068#95C23×C7911yescharacteristic
1069#95C23×C7911yescharacteristic
1070#95C23×C7911yescharacteristic
1071#95C23×C7911yescharacteristic
1072#95C23×C7911yescharacteristic
1073#95C23×C7911yescharacteristic
1074#95C23×C7911yescharacteristic
1075#95C23×C7911yescharacteristic
1076#95C23×C7911yescharacteristic
1077#95C23×C7911yescharacteristic
1078C24C24×C7911yescharacteristic
1079C24C24×C7911yescharacteristic
1080C24C24×C7911yescharacteristic
1081C24C24×C7911yescharacteristic
1082C2×Q8—22no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4#41×C7914yes—
1124C22×C4C24×C7911yescharacteristic
1125C22×C4C24×C7911yescharacteristic
1126C22×C4C24×C7911yescharacteristic
1127C22×C4C24×C7911yescharacteristic
1128C22×C4C24×C7911yescharacteristic
1129C22×C4C24×C7911yescharacteristic
1130C22×C4C24×C7911yescharacteristic
1131C22×C4C24×C7911yescharacteristic
1132C22×C4C24×C7911yescharacteristic
1133C22×C4C24×C7911yescharacteristic
1134C22×C4C24×C7911yescharacteristic
1135C22×C4C24×C7911yescharacteristic
1136C22×C4C24×C7911yescharacteristic
1137C22×C4C24×C7911yescharacteristic
1138C22×C4C24×C7911yescharacteristic
1139C22×C4C24×C7911yescharacteristic
1140C22×C4C24×C7911yescharacteristic
1141C22×C4C24×C7911yescharacteristic
1142C22×C4C24×C7911yescharacteristic
1143C22×C4C24×C7911yescharacteristic
1144C22×C4C24×C7911yescharacteristic
1145C22×C4C24×C7911yescharacteristic
1146C22×C4C24×C7911yescharacteristic
1147C22×C4C24×C7911yescharacteristic
1148C22×C4C24×C7911yescharacteristic
1149C22×C4C24×C7911yescharacteristic
1150C22×C4C24×C7911yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C42—22no—
1232C42—22no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23C2×#41×C7912yes—
1272C23C25×C7911yescharacteristic
1273Q8—44no—
1274Q8—44no—
1275D4—44no—
1276D4—44no—
1277D4—44no—
1278D4—44no—
1279D4—44no—
1280D4—44no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4C2×#41×C7912yes—
1364C2×C4C2×#41×C7912yes—
1365C2×C4H(5,𝔽2)×C7912yes—
1366C2×C4H(5,𝔽2)×C7912yes—
1367C2×C42−1+4×C7912yes—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22C22×#41×C7911yescharacteristic
1397C22C2×H(5,𝔽2)×C7911yescharacteristic
1398C22C2×H(5,𝔽2)×C7911yescharacteristic
1399C22C2×2−1+4×C7911yescharacteristic
1400C22#585×C7911yescharacteristic
1401C22#585×C7911yescharacteristic
1402C22#585×C7911yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4#562×C7914yes—
1430C2—42no—
1431C2—81no—
1432C2—81no—
1433C2—81no—
1434C2C79×#345911yescharacteristic
1435C2C79×#346011yescharacteristic
1436C2C79×#346111yescharacteristic
1437C2C2×#562×C7911yescharacteristic
1438C2C79×#352911yescharacteristic
1439C2C79×#352911yescharacteristic
1440C2C79×#353111yescharacteristic
subgroupG/H
centerC22×C4×C79C24
commutator, Frattini, cosocleC23C25×C79
socleC23×C79C25
prime radicalC79×#2813C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#2841C2semidirect
2. C79×#2839C2semidirect
3. C79×#2837C2semidirect
4. C79×#2836C2semidirect
5. C79×#2836C2semidirect
6. C79×#2832C2semidirect
7. C79×#2831C2semidirect
8. C79×#2830C2semidirect
9. C79×#2829C2semidirect
10. C79×#2827C2semidirect
11. C79×#2827C2semidirect
12. C79×#2826C2semidirect
13. C79×#2824C2semidirect
14. C79×#2816C2semidirect
15. C79×#2814C2semidirect
17. C79×#2402C2semidirect
18. C79×#2398C2semidirect
19. C79×#2398C2semidirect
20. C79×#2396C2semidirect
21. C79×#2396C2semidirect
22. C79×#2396C2semidirect
23. C79×#2395C2semidirect
24. C79×#2395C2semidirect
25. C79×#2395C2semidirect
26. C79×#2392C2semidirect
27. C79×#2392C2semidirect
28. C79×#2392C2semidirect
29. C4×C22⋊Q8×C79C2semidirect
30. C4×#123×C79C2semidirect
31. C4×#121×C79C2semidirect
709. #36678C79direct (N × H)
721. #2841C2×C79semidirect
722. #2839C2×C79semidirect
723. #2837C2×C79semidirect
724. #2836C2×C79semidirect
725. #2836C2×C79semidirect
726. #2832C2×C79semidirect
727. #2831C2×C79semidirect
728. #2830C2×C79semidirect
729. #2829C2×C79semidirect
730. #2827C2×C79semidirect
731. #2827C2×C79semidirect
732. #2826C2×C79semidirect
733. #2824C2×C79semidirect
734. #2816C2×C79semidirect
735. #2814C2×C79semidirect
737. #2402C2×C79semidirect
738. #2398C2×C79semidirect
739. #2398C2×C79semidirect
740. #2396C2×C79semidirect
741. #2396C2×C79semidirect
742. #2396C2×C79semidirect
743. #2395C2×C79semidirect
744. #2395C2×C79semidirect
745. #2395C2×C79semidirect
746. #2392C2×C79semidirect
747. #2392C2×C79semidirect
748. #2392C2×C79semidirect
749. C4×C22⋊Q8C2×C79semidirect
750. C4×#123C2×C79semidirect
751. C4×#121C2×C79semidirect
752. C79#36678direct (N × H)

Maximal subgroups

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

subgroupindex
C79×#28412
C79×#28392
C79×#28372
C79×#28362
C79×#28322
C79×#28312
C79×#28302
C79×#28292
C79×#28272
C79×#28262
C79×#28242
C79×#28162
C79×#28142
C79×#28132
C79×#24022
C79×#23982
C79×#23962
C79×#23952
C79×#23922
C4×C22⋊Q8×C792
C4×#123×C792
C4×#121×C792
#3667879