Finite Group Databasebeta

← C79×#36525 #34148214

Subgroups — C79×#36525 #34148214

Order 20224.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#2866C211yesmaximal, characteristic, complemented
2C79×#2860C211yesmaximal, characteristic, complemented
3C79×#2853C211yesmaximal, characteristic, complemented
4C79×#2608C211yesmaximal, characteristic, complemented
5C79×#2602C211yesmaximal, characteristic
6C79×#2601C211yesmaximal, characteristic, complemented
7C79×#2601C211yesmaximal, characteristic, complemented
8C79×#2596C211yesmaximal, characteristic, complemented
9C79×#2594C211yesmaximal, characteristic, complemented
10C79×#2590C211yesmaximal, characteristic, complemented
11C79×#2576C211yesmaximal, characteristic, complemented
12C79×#2573C211yesmaximal, characteristic, complemented
13C79×#2558C211yesmaximal, characteristic, complemented
14C79×#2558C211yesmaximal, characteristic, complemented
15C79×#2554C211yesmaximal, characteristic
16C79×#2528C211yesmaximal, characteristic, complemented
17C79×#2526C211yesmaximal, characteristic, complemented
18C79×#2519C211yesmaximal, characteristic, complemented
19C79×#2515C211yesmaximal, characteristic, complemented
20C79×#2475C211yesmaximal, characteristic, complemented
21C79×#2471C211yesmaximal, characteristic
22C79×#2374C211yesmaximal, characteristic, complemented
23C79×#2374C211yesmaximal, characteristic, complemented
24C79×#2373C211yesmaximal, characteristic, complemented
25C79×#2373C211yesmaximal, characteristic, complemented
26C79×#2370C211yesmaximal, characteristic, complemented
27C79×#2357C211yesmaximal, characteristic, complemented
28C4×#125×C79C211yesmaximal, characteristic, complemented
29C4×#126×C79C211yesmaximal, characteristic, complemented
30C4×#123×C79C211yesmaximal, characteristic, complemented
31C4×#117×C79C211yesmaximal, characteristic, complemented
32C2×#126×C79C2211yescharacteristic
33C2×#126×C79C2211yescharacteristic
34C2×#126×C79C2211yescharacteristic
35C2×#125×C79C2211yescharacteristic
36C2×#125×C79C2211yescharacteristic
37C2×#123×C79C2211yescharacteristic
38C2×#123×C79C2211yescharacteristic
39C2×#123×C79C2211yescharacteristic
40C2×C4×D4×C79C2211yescharacteristic
41C2×#117×C79C2211yescharacteristic
42C2×#117×C79C2211yescharacteristic
43C22×C42×C79C2211yescharacteristic
44#401×C79C2211yescharacteristic
45#400×C79C2211yescharacteristic
46#400×C79C2211yescharacteristic
47#400×C79C2211yescharacteristic
48#400×C79C2211yescharacteristic
49#399×C79C2211yescharacteristic
50#398×C79C2211yescharacteristic
51#398×C79C2211yescharacteristic
52#398×C79C2211yescharacteristic
53#398×C79C2211yescharacteristic
54#397×C79C2211yescharacteristic
55#397×C79C2211yescharacteristic
56#397×C79C2211yescharacteristic
57#396×C79C2211yescharacteristic
58#396×C79C2211yescharacteristic
59#396×C79C2211yescharacteristic
60#396×C79C2211yescharacteristic
61#396×C79C2211yescharacteristic
62#396×C79C2211yescharacteristic
63#396×C79C2211yescharacteristic
64#394×C79C2211yescharacteristic
65#394×C79C2211yescharacteristic
66#394×C79C2211yescharacteristic
67#392×C79C2211yescharacteristic
68#390×C79C2211yescharacteristic
69#390×C79C2211yescharacteristic
70#390×C79C2211yescharacteristic
71#390×C79C2211yescharacteristic
72#390×C79C2211yescharacteristic
73#390×C79C2211yescharacteristic
74#389×C79C2211yescharacteristic
75#389×C79C2211yescharacteristic
76#389×C79C2211yescharacteristic
77#389×C79C2211yescharacteristic
78#389×C79C2211yescharacteristic
79#389×C79C2211yescharacteristic
80#389×C79C2211yescharacteristic
81#389×C79C2211yescharacteristic
82#389×C79C2211yescharacteristic
83#389×C79C2211yescharacteristic
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
103#388×C79C2211yescharacteristic
104#388×C79C2211yescharacteristic
105#388×C79C2211yescharacteristic
106#388×C79C2211yescharacteristic
107#388×C79C2211yescharacteristic
108#388×C79C2211yescharacteristic
109#388×C79C2211yescharacteristic
110#388×C79C2211yescharacteristic
111#388×C79C2211yescharacteristic
112#388×C79C2211yescharacteristic
113#387×C79C2211yescharacteristic
114#387×C79C2211yescharacteristic
115#387×C79C2211yescharacteristic
116#387×C79C2211yescharacteristic
117#387×C79C2211yescharacteristic
118#387×C79C2211yescharacteristic
119#387×C79C2211yescharacteristic
120#387×C79C2211yescharacteristic
121#387×C79C2211yescharacteristic
122#387×C79C2211yescharacteristic
123#387×C79C2211yescharacteristic
124#387×C79C2211yescharacteristic
125#387×C79C2211yescharacteristic
126#387×C79C2211yescharacteristic
127#387×C79C2211yescharacteristic
128#387×C79C2211yescharacteristic
129#387×C79C2211yescharacteristic
130#387×C79C2211yescharacteristic
131#387×C79C2211yescharacteristic
132#387×C79C2211yescharacteristic
133#387×C79C2211yescharacteristic
134#387×C79C2211yescharacteristic
135#387×C79C2211yescharacteristic
136#387×C79C2211yescharacteristic
137#387×C79C2211yescharacteristic
138#386×C79C2211yescharacteristic
139#386×C79C2211yescharacteristic
140#386×C79C2211yescharacteristic
141#386×C79C2211yescharacteristic
142#386×C79C2211yescharacteristic
143#385×C79C2211yescharacteristic
144#385×C79C2211yescharacteristic
145#385×C79C2211yescharacteristic
146#385×C79C2211yescharacteristic
147#385×C79C2211yescharacteristic
148#383×C79C2211yescharacteristic
149#382×C79C2211yescharacteristic
150#382×C79C2211yescharacteristic
151#381×C79C2211yescharacteristic
152#381×C79C2211yescharacteristic
153#381×C79C2211yescharacteristic
154C4×C4⋊C4×C79C2211yescharacteristic
155C4×C4⋊C4×C79C2211yescharacteristic
156C4×C4⋊C4×C79C2211yescharacteristic
157C4×C4⋊C4×C79C2211yescharacteristic
158C4×C4⋊C4×C79C2211yescharacteristic
159C4×C4⋊C4×C79C2211yescharacteristic
160C4×C4⋊C4×C79C2211yescharacteristic
161C4×C4⋊C4×C79C2211yescharacteristic
162C4×C4⋊C4×C79C2211yescharacteristic
163C4×C4⋊C4×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×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
181C4×C22⋊C4×C79C2211yescharacteristic
182C4×C22⋊C4×C79C2211yescharacteristic
183#376×C79C2211yescharacteristic
184#376×C79C2211yescharacteristic
185C43×C79C2211yescharacteristic
186C43×C79C2211yescharacteristic
187C22×D4×C79C2311yescharacteristic
188C22×D4×C79C2311yescharacteristic
189C22×D4×C79C2311yescharacteristic
190C23×C4×C79C2311yescharacteristic
191C23×C4×C79C2311yescharacteristic
192C23×C4×C79C2311yescharacteristic
193C23×C4×C79C2311yescharacteristic
194C23×C4×C79C2311yescharacteristic
195#126×C79—24no—
196#126×C79—24no—
197#126×C79—24no—
198#125×C79—24no—
199#125×C79—24no—
200#123×C79—24no—
201#123×C79—24no—
202#123×C79—24no—
203C4×D4×C79—24no—
204#117×C79—24no—
205#117×C79—24no—
206C2×C4⋊C4×C79C2311yescharacteristic
207C2×C4⋊C4×C79C2311yescharacteristic
208C2×C4⋊C4×C79C2311yescharacteristic
209C2×C4⋊C4×C79C2311yescharacteristic
210C2×C4⋊C4×C79C2311yescharacteristic
211C2×C4⋊C4×C79C2311yescharacteristic
212C2×C4⋊C4×C79C2311yescharacteristic
213C2×C4⋊C4×C79C2311yescharacteristic
214C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
244C2×C22⋊C4×C79C2311yescharacteristic
245C2×C22⋊C4×C79C2311yescharacteristic
246C2×C22⋊C4×C79C2311yescharacteristic
247C2×C22⋊C4×C79C2311yescharacteristic
248C2×C22⋊C4×C79C2311yescharacteristic
249C2×C22⋊C4×C79C2311yescharacteristic
250C2×C22⋊C4×C79C2311yescharacteristic
251C2×C22⋊C4×C79C2311yescharacteristic
252C2×C22⋊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×C42×C79—24no—
278C2×C42×C79C2311yescharacteristic
279C2×C42×C79C2311yescharacteristic
280C2×C42×C79C2311yescharacteristic
281C2×C42×C79C2311yescharacteristic
282C2×C42×C79C2311yescharacteristic
283C2×C42×C79C2311yescharacteristic
284C2×C42×C79C2311yescharacteristic
285C2×C42×C79C2311yescharacteristic
286C2×C42×C79C2311yescharacteristic
287C2×C42×C79C2311yescharacteristic
288C2×C42×C79C2311yescharacteristic
289C2×C42×C79C2311yescharacteristic
290C2×C42×C79C2311yescharacteristic
291C2×C42×C79C2311yescharacteristic
292C2×C42×C79C2311yescharacteristic
293C2×C42×C79C2311yescharacteristic
294C2×C42×C79C2311yescharacteristic
295C2×C42×C79C2311yescharacteristic
296C2×C42×C79C2311yescharacteristic
297C2×C42×C79C2311yescharacteristic
298C2×C42×C79C2311yescharacteristic
299C2×C42×C79C2311yescharacteristic
300C2×C42×C79C2311yescharacteristic
301C2×C42×C79C2311yescharacteristic
302C2×C42×C79C2311yescharacteristic
303C2×C42×C79C2311yescharacteristic
304#95×C79C2311yescharacteristic
305#95×C79C2311yescharacteristic
306#95×C79C2311yescharacteristic
307#95×C79C2311yescharacteristic
308#95×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
354C24×C79C2411yescharacteristic
355C24×C79C2411yescharacteristic
356C24×C79C2411yescharacteristic
357C2×D4×C79—22no—
358C2×D4×C79—22no—
359C2×D4×C79—22no—
360C2×D4×C79—22no—
361C2×D4×C79—41no—
362C2×D4×C79—41no—
363C2×D4×C79—41no—
364C2×D4×C79—41no—
365C2×D4×C79—41no—
366C22×C4×C79—22no—
367C22×C4×C79—22no—
368C22×C4×C79—22no—
369C22×C4×C79—22no—
370C22×C4×C79—22no—
371C22×C4×C79—22no—
372C22×C4×C79—22no—
373C22×C4×C79—41no—
374C22×C4×C79—41no—
375C22×C4×C79—41no—
376C22×C4×C79—41no—
377C22×C4×C79—41no—
378C22×C4×C79—41no—
379C22×C4×C79—41no—
380C22×C4×C79#4114yes—
381C22×C4×C79C2411yescharacteristic
382C22×C4×C79C2411yescharacteristic
383C22×C4×C79C2411yescharacteristic
384C22×C4×C79C2411yescharacteristic
385C22×C4×C79C2411yescharacteristic
386C22×C4×C79C2411yescharacteristic
387C22×C4×C79C2411yescharacteristic
388C22×C4×C79C2411yescharacteristic
389C22×C4×C79C2411yescharacteristic
390C22×C4×C79C2411yescharacteristic
391C22×C4×C79C2411yescharacteristic
392C22×C4×C79C2411yescharacteristic
393C22×C4×C79C2411yescharacteristic
394C22×C4×C79C2411yescharacteristic
395C22×C4×C79C2411yescharacteristic
396C22×C4×C79C2411yescharacteristic
397C22×C4×C79C2411yescharacteristic
398C22×C4×C79C2411yescharacteristic
399C22×C4×C79C2411yescharacteristic
400C22×C4×C79C2411yescharacteristic
401C22×C4×C79C2411yescharacteristic
402C22×C4×C79C2411yescharacteristic
403C22×C4×C79C2411yescharacteristic
404C22×C4×C79C2411yescharacteristic
405C22×C4×C79C2411yescharacteristic
406C22×C4×C79C2411yescharacteristic
407C22×C4×C79C2411yescharacteristic
408C22×C4×C79C2411yescharacteristic
409C4⋊C4×C79—22no—
410C4⋊C4×C79—22no—
411C4⋊C4×C79—22no—
412C4⋊C4×C79—22no—
413C4⋊C4×C79—22no—
414C4⋊C4×C79—22no—
415C4⋊C4×C79—22no—
416C4⋊C4×C79—22no—
417C4⋊C4×C79—22no—
418C4⋊C4×C79—22no—
419C4⋊C4×C79—22no—
420C4⋊C4×C79—22no—
421C4⋊C4×C79—22no—
422C4⋊C4×C79—22no—
423C4⋊C4×C79—22no—
424C4⋊C4×C79—22no—
425C4⋊C4×C79—22no—
426C4⋊C4×C79—22no—
427C4⋊C4×C79—22no—
428C4⋊C4×C79—22no—
429C4⋊C4×C79—22no—
430C4⋊C4×C79—22no—
431C4⋊C4×C79—22no—
432C4⋊C4×C79—22no—
433C4⋊C4×C79—22no—
434C4⋊C4×C79—22no—
435C4⋊C4×C79—41no—
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#4114yes—
445C4⋊C4×C79#4114yes—
446C22⋊C4×C79—22no—
447C22⋊C4×C79—22no—
448C22⋊C4×C79—22no—
449C22⋊C4×C79—22no—
450C22⋊C4×C79—22no—
451C22⋊C4×C79—22no—
452C22⋊C4×C79—22no—
453C22⋊C4×C79—22no—
454C22⋊C4×C79—22no—
455C22⋊C4×C79—22no—
456C22⋊C4×C79—22no—
457C22⋊C4×C79—22no—
458C22⋊C4×C79—22no—
459C22⋊C4×C79—22no—
460C22⋊C4×C79—22no—
461C22⋊C4×C79—22no—
462C22⋊C4×C79—22no—
463C22⋊C4×C79—22no—
464C22⋊C4×C79—22no—
465C22⋊C4×C79—22no—
466C22⋊C4×C79—22no—
467C22⋊C4×C79—22no—
468C22⋊C4×C79—22no—
469C22⋊C4×C79—22no—
470C22⋊C4×C79—41no—
471C22⋊C4×C79—41no—
472C22⋊C4×C79—41no—
473C22⋊C4×C79—41no—
474C22⋊C4×C79—41no—
475C22⋊C4×C79—41no—
476C22⋊C4×C79—41no—
477C22⋊C4×C79—41no—
478C22⋊C4×C79—41no—
479C22⋊C4×C79—41no—
480C42×C79—22no—
481C42×C79—22no—
482C42×C79—22no—
483C42×C79—22no—
484C42×C79—22no—
485C42×C79—22no—
486C42×C79—22no—
487C42×C79—22no—
488C42×C79—22no—
489C42×C79—22no—
490C42×C79—22no—
491C42×C79—41no—
492C42×C79—41no—
493C42×C79—41no—
494C42×C79—41no—
495C42×C79—41no—
496C42×C79—41no—
497C42×C79—41no—
498C42×C79—41no—
499C42×C79—41no—
500C42×C79—41no—
501C42×C79—41no—
502C42×C79—41no—
503C42×C79—41no—
504C42×C79—41no—
505C42×C79#4114yes—
506C23×C79—21no—
507C23×C79—21no—
508C23×C79—21no—
509C23×C79—21no—
510C23×C79—21no—
511C23×C79—21no—
512C23×C79—21no—
513C23×C79—21no—
514C23×C79—21no—
515C23×C79—21no—
516C23×C79—21no—
517C23×C79—21no—
518C23×C79—21no—
519C23×C79—21no—
520C23×C79—21no—
521C23×C79—21no—
522C23×C79—21no—
523C23×C79—21no—
524C23×C79—21no—
525C23×C79—21no—
526C23×C79C2×#4112yes—
527C23×C79C2511yescharacteristic
528D4×C79—44no—
529D4×C79—82no—
530D4×C79—82no—
531C2×C4×C79—28no—
532C2×C4×C79—21no—
533C2×C4×C79—21no—
534C2×C4×C79—21no—
535C2×C4×C79—21no—
536C2×C4×C79—21no—
537C2×C4×C79—21no—
538C2×C4×C79—21no—
539C2×C4×C79—21no—
540C2×C4×C79—21no—
541C2×C4×C79—21no—
542C2×C4×C79—21no—
543C2×C4×C79—21no—
544C2×C4×C79—21no—
545C2×C4×C79—21no—
546C2×C4×C79—21no—
547C2×C4×C79—21no—
548C2×C4×C79—21no—
549C2×C4×C79—21no—
550C2×C4×C79—21no—
551C2×C4×C79—21no—
552C2×C4×C79—21no—
553C2×C4×C79—21no—
554C2×C4×C79—21no—
555C2×C4×C79—21no—
556C2×C4×C79—21no—
557C2×C4×C79—21no—
558C2×C4×C79—21no—
559C2×C4×C79—21no—
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—44no—
606C2×C4×C79—44no—
607C2×C4×C79—82no—
608C2×C4×C79—82no—
609C2×C4×C79C2×#4112yes—
610C2×C4×C79C2×#4112yes—
611C2×C4×C79C2×#4112yes—
612C2×C4×C79C2×#4112yes—
613C2×C4×C79C2×#4112yes—
614C2×C4×C79C2×#4112yes—
615C2×C4×C79C2×#4112yes—
616C2×C4×C79C2×#4112yes—
617C2×C4×C79C2×#4112yes—
618C2×C4×C79C2×#4112yes—
619C2×C4×C79C2×#4112yes—
620C22×C79—22no—
621C22×C79—22no—
622C22×C79—22no—
623C22×C79—41no—
624C22×C79—41no—
625C22×C79—41no—
626C22×C79—41no—
627C22×C79—41no—
628C22×C79—41no—
629C22×C79—41no—
630C22×C79—41no—
631C22×C79—41no—
632C22×C79—41no—
633C22×C79—41no—
634C22×C79—41no—
635C22×C79—41no—
636C22×C79—41no—
637C22×C79—41no—
638C22×C79—41no—
639C22×C79—41no—
640C22×C79—41no—
641C22×C79C22×#4111yescharacteristic
642C22×C79C22×#4111yescharacteristic
643C22×C79C22×#4111yescharacteristic
644C22×C79C22×#4111yescharacteristic
645C22×C79#58511yescharacteristic
646C22×C79#58511yescharacteristic
647C22×C79#58511yescharacteristic
648C4×C79—22no—
649C4×C79—22no—
650C4×C79—22no—
651C4×C79—22no—
652C4×C79—22no—
653C4×C79—22no—
654C4×C79—22no—
655C4×C79—22no—
656C4×C79—22no—
657C4×C79—22no—
658C4×C79—22no—
659C4×C79—41no—
660C4×C79—41no—
661C4×C79—41no—
662C4×C79—41no—
663C4×C79—41no—
664C4×C79—41no—
665C4×C79—41no—
666C4×C79—41no—
667C4×C79—41no—
668C4×C79—41no—
669C4×C79—41no—
670C4×C79—41no—
671C4×C79—41no—
672C4×C79—41no—
673C4×C79—41no—
674C4×C79—41no—
675C4×C79—41no—
676#36525C7911yesmaximal, characteristic, direct product factor, Sylow
677C2×C79—42no—
678C2×C79—81no—
679C2×C79—81no—
680C2×C79#344411yescharacteristic
681C2×C79#347511yescharacteristic
682C2×C79#348011yescharacteristic
683C2×C79#348011yescharacteristic
684C2×C79#349111yescharacteristic
685C2×C79#351211yescharacteristic
686C2×C79#352111yescharacteristic
687#2866C2×C7911yescharacteristic, complemented
688#2860C2×C7911yescharacteristic, complemented
689#2853C2×C7911yescharacteristic, complemented
690#2608C2×C7911yescharacteristic, complemented
691#2602C2×C7911yescharacteristic
692#2601C2×C7911yescharacteristic, complemented
693#2601C2×C7911yescharacteristic, complemented
694#2596C2×C7911yescharacteristic, complemented
695#2594C2×C7911yescharacteristic, complemented
696#2590C2×C7911yescharacteristic, complemented
697#2576C2×C7911yescharacteristic, complemented
698#2573C2×C7911yescharacteristic, complemented
699#2558C2×C7911yescharacteristic, complemented
700#2558C2×C7911yescharacteristic, complemented
701#2554C2×C7911yescharacteristic
702#2528C2×C7911yescharacteristic, complemented
703#2526C2×C7911yescharacteristic, complemented
704#2519C2×C7911yescharacteristic, complemented
705#2515C2×C7911yescharacteristic, complemented
706#2475C2×C7911yescharacteristic, complemented
707#2471C2×C7911yescharacteristic
708#2374C2×C7911yescharacteristic, complemented
709#2374C2×C7911yescharacteristic, complemented
710#2373C2×C7911yescharacteristic, complemented
711#2373C2×C7911yescharacteristic, complemented
712#2370C2×C7911yescharacteristic, complemented
713#2357C2×C7911yescharacteristic, complemented
714C4×#125C2×C7911yescharacteristic, complemented
715C4×#126C2×C7911yescharacteristic, complemented
716C4×#123C2×C7911yescharacteristic, complemented
717C4×#117C2×C7911yescharacteristic, complemented
718C79#3652511yescharacteristic, direct product factor, Sylow
719C2×#126C22×C7911yescharacteristic
720C2×#126C22×C7911yescharacteristic
721C2×#126C22×C7911yescharacteristic
722C2×#125C22×C7911yescharacteristic
723C2×#125C22×C7911yescharacteristic
724C2×#123C22×C7911yescharacteristic
725C2×#123C22×C7911yescharacteristic
726C2×#123C22×C7911yescharacteristic
727C2×C4×D4C22×C7911yescharacteristic
728C2×#117C22×C7911yescharacteristic
729C2×#117C22×C7911yescharacteristic
730C22×C42C22×C7911yescharacteristic
731#401C22×C7911yescharacteristic
732#400C22×C7911yescharacteristic
733#400C22×C7911yescharacteristic
734#400C22×C7911yescharacteristic
735#400C22×C7911yescharacteristic
736#399C22×C7911yescharacteristic
737#398C22×C7911yescharacteristic
738#398C22×C7911yescharacteristic
739#398C22×C7911yescharacteristic
740#398C22×C7911yescharacteristic
741#397C22×C7911yescharacteristic
742#397C22×C7911yescharacteristic
743#397C22×C7911yescharacteristic
744#396C22×C7911yescharacteristic
745#396C22×C7911yescharacteristic
746#396C22×C7911yescharacteristic
747#396C22×C7911yescharacteristic
748#396C22×C7911yescharacteristic
749#396C22×C7911yescharacteristic
750#396C22×C7911yescharacteristic
751#394C22×C7911yescharacteristic
752#394C22×C7911yescharacteristic
753#394C22×C7911yescharacteristic
754#392C22×C7911yescharacteristic
755#390C22×C7911yescharacteristic
756#390C22×C7911yescharacteristic
757#390C22×C7911yescharacteristic
758#390C22×C7911yescharacteristic
759#390C22×C7911yescharacteristic
760#390C22×C7911yescharacteristic
761#389C22×C7911yescharacteristic
762#389C22×C7911yescharacteristic
763#389C22×C7911yescharacteristic
764#389C22×C7911yescharacteristic
765#389C22×C7911yescharacteristic
766#389C22×C7911yescharacteristic
767#389C22×C7911yescharacteristic
768#389C22×C7911yescharacteristic
769#389C22×C7911yescharacteristic
770#389C22×C7911yescharacteristic
771#388C22×C7911yescharacteristic
772#388C22×C7911yescharacteristic
773#388C22×C7911yescharacteristic
774#388C22×C7911yescharacteristic
775#388C22×C7911yescharacteristic
776#388C22×C7911yescharacteristic
777#388C22×C7911yescharacteristic
778#388C22×C7911yescharacteristic
779#388C22×C7911yescharacteristic
780#388C22×C7911yescharacteristic
781#388C22×C7911yescharacteristic
782#388C22×C7911yescharacteristic
783#388C22×C7911yescharacteristic
784#388C22×C7911yescharacteristic
785#388C22×C7911yescharacteristic
786#388C22×C7911yescharacteristic
787#388C22×C7911yescharacteristic
788#388C22×C7911yescharacteristic
789#388C22×C7911yescharacteristic
790#388C22×C7911yescharacteristic
791#388C22×C7911yescharacteristic
792#388C22×C7911yescharacteristic
793#388C22×C7911yescharacteristic
794#388C22×C7911yescharacteristic
795#388C22×C7911yescharacteristic
796#388C22×C7911yescharacteristic
797#388C22×C7911yescharacteristic
798#388C22×C7911yescharacteristic
799#388C22×C7911yescharacteristic
800#387C22×C7911yescharacteristic
801#387C22×C7911yescharacteristic
802#387C22×C7911yescharacteristic
803#387C22×C7911yescharacteristic
804#387C22×C7911yescharacteristic
805#387C22×C7911yescharacteristic
806#387C22×C7911yescharacteristic
807#387C22×C7911yescharacteristic
808#387C22×C7911yescharacteristic
809#387C22×C7911yescharacteristic
810#387C22×C7911yescharacteristic
811#387C22×C7911yescharacteristic
812#387C22×C7911yescharacteristic
813#387C22×C7911yescharacteristic
814#387C22×C7911yescharacteristic
815#387C22×C7911yescharacteristic
816#387C22×C7911yescharacteristic
817#387C22×C7911yescharacteristic
818#387C22×C7911yescharacteristic
819#387C22×C7911yescharacteristic
820#387C22×C7911yescharacteristic
821#387C22×C7911yescharacteristic
822#387C22×C7911yescharacteristic
823#387C22×C7911yescharacteristic
824#387C22×C7911yescharacteristic
825#386C22×C7911yescharacteristic
826#386C22×C7911yescharacteristic
827#386C22×C7911yescharacteristic
828#386C22×C7911yescharacteristic
829#386C22×C7911yescharacteristic
830#385C22×C7911yescharacteristic
831#385C22×C7911yescharacteristic
832#385C22×C7911yescharacteristic
833#385C22×C7911yescharacteristic
834#385C22×C7911yescharacteristic
835#383C22×C7911yescharacteristic
836#382C22×C7911yescharacteristic
837#382C22×C7911yescharacteristic
838#381C22×C7911yescharacteristic
839#381C22×C7911yescharacteristic
840#381C22×C7911yescharacteristic
841C4×C4⋊C4C22×C7911yescharacteristic
842C4×C4⋊C4C22×C7911yescharacteristic
843C4×C4⋊C4C22×C7911yescharacteristic
844C4×C4⋊C4C22×C7911yescharacteristic
845C4×C4⋊C4C22×C7911yescharacteristic
846C4×C4⋊C4C22×C7911yescharacteristic
847C4×C4⋊C4C22×C7911yescharacteristic
848C4×C4⋊C4C22×C7911yescharacteristic
849C4×C4⋊C4C22×C7911yescharacteristic
850C4×C4⋊C4C22×C7911yescharacteristic
851C4×C4⋊C4C22×C7911yescharacteristic
852C4×C4⋊C4C22×C7911yescharacteristic
853C4×C4⋊C4C22×C7911yescharacteristic
854C4×C4⋊C4C22×C7911yescharacteristic
855C4×C4⋊C4C22×C7911yescharacteristic
856C4×C4⋊C4C22×C7911yescharacteristic
857C4×C4⋊C4C22×C7911yescharacteristic
858C4×C22⋊C4C22×C7911yescharacteristic
859C4×C22⋊C4C22×C7911yescharacteristic
860C4×C22⋊C4C22×C7911yescharacteristic
861C4×C22⋊C4C22×C7911yescharacteristic
862C4×C22⋊C4C22×C7911yescharacteristic
863C4×C22⋊C4C22×C7911yescharacteristic
864C4×C22⋊C4C22×C7911yescharacteristic
865C4×C22⋊C4C22×C7911yescharacteristic
866C4×C22⋊C4C22×C7911yescharacteristic
867C4×C22⋊C4C22×C7911yescharacteristic
868C4×C22⋊C4C22×C7911yescharacteristic
869C4×C22⋊C4C22×C7911yescharacteristic
870#376C22×C7911yescharacteristic
871#376C22×C7911yescharacteristic
872C43C22×C7911yescharacteristic
873C43C22×C7911yescharacteristic
874C22×D4C23×C7911yescharacteristic
875C22×D4C23×C7911yescharacteristic
876C22×D4C23×C7911yescharacteristic
877C23×C4C23×C7911yescharacteristic
878C23×C4C23×C7911yescharacteristic
879C23×C4C23×C7911yescharacteristic
880C23×C4C23×C7911yescharacteristic
881C23×C4C23×C7911yescharacteristic
882#126—24no—
883#126—24no—
884#126—24no—
885#125—24no—
886#125—24no—
887#123—24no—
888#123—24no—
889#123—24no—
890C4×D4—24no—
891#117—24no—
892#117—24no—
893C2×C4⋊C4C23×C7911yescharacteristic
894C2×C4⋊C4C23×C7911yescharacteristic
895C2×C4⋊C4C23×C7911yescharacteristic
896C2×C4⋊C4C23×C7911yescharacteristic
897C2×C4⋊C4C23×C7911yescharacteristic
898C2×C4⋊C4C23×C7911yescharacteristic
899C2×C4⋊C4C23×C7911yescharacteristic
900C2×C4⋊C4C23×C7911yescharacteristic
901C2×C4⋊C4C23×C7911yescharacteristic
902C2×C4⋊C4C23×C7911yescharacteristic
903C2×C4⋊C4C23×C7911yescharacteristic
904C2×C4⋊C4C23×C7911yescharacteristic
905C2×C4⋊C4C23×C7911yescharacteristic
906C2×C4⋊C4C23×C7911yescharacteristic
907C2×C4⋊C4C23×C7911yescharacteristic
908C2×C4⋊C4C23×C7911yescharacteristic
909C2×C4⋊C4C23×C7911yescharacteristic
910C2×C4⋊C4C23×C7911yescharacteristic
911C2×C4⋊C4C23×C7911yescharacteristic
912C2×C4⋊C4C23×C7911yescharacteristic
913C2×C4⋊C4C23×C7911yescharacteristic
914C2×C4⋊C4C23×C7911yescharacteristic
915C2×C4⋊C4C23×C7911yescharacteristic
916C2×C4⋊C4C23×C7911yescharacteristic
917C2×C4⋊C4C23×C7911yescharacteristic
918C2×C4⋊C4C23×C7911yescharacteristic
919C2×C4⋊C4C23×C7911yescharacteristic
920C2×C4⋊C4C23×C7911yescharacteristic
921C2×C4⋊C4C23×C7911yescharacteristic
922C2×C4⋊C4C23×C7911yescharacteristic
923C2×C4⋊C4C23×C7911yescharacteristic
924C2×C4⋊C4C23×C7911yescharacteristic
925C2×C4⋊C4C23×C7911yescharacteristic
926C2×C4⋊C4C23×C7911yescharacteristic
927C2×C4⋊C4C23×C7911yescharacteristic
928C2×C4⋊C4C23×C7911yescharacteristic
929C2×C4⋊C4C23×C7911yescharacteristic
930C2×C22⋊C4C23×C7911yescharacteristic
931C2×C22⋊C4C23×C7911yescharacteristic
932C2×C22⋊C4C23×C7911yescharacteristic
933C2×C22⋊C4C23×C7911yescharacteristic
934C2×C22⋊C4C23×C7911yescharacteristic
935C2×C22⋊C4C23×C7911yescharacteristic
936C2×C22⋊C4C23×C7911yescharacteristic
937C2×C22⋊C4C23×C7911yescharacteristic
938C2×C22⋊C4C23×C7911yescharacteristic
939C2×C22⋊C4C23×C7911yescharacteristic
940C2×C22⋊C4C23×C7911yescharacteristic
941C2×C22⋊C4C23×C7911yescharacteristic
942C2×C22⋊C4C23×C7911yescharacteristic
943C2×C22⋊C4C23×C7911yescharacteristic
944C2×C22⋊C4C23×C7911yescharacteristic
945C2×C22⋊C4C23×C7911yescharacteristic
946C2×C22⋊C4C23×C7911yescharacteristic
947C2×C22⋊C4C23×C7911yescharacteristic
948C2×C22⋊C4C23×C7911yescharacteristic
949C2×C22⋊C4C23×C7911yescharacteristic
950C2×C22⋊C4C23×C7911yescharacteristic
951C2×C22⋊C4C23×C7911yescharacteristic
952C2×C22⋊C4C23×C7911yescharacteristic
953C2×C22⋊C4C23×C7911yescharacteristic
954C2×C22⋊C4C23×C7911yescharacteristic
955C2×C22⋊C4C23×C7911yescharacteristic
956C2×C22⋊C4C23×C7911yescharacteristic
957C2×C22⋊C4C23×C7911yescharacteristic
958C2×C22⋊C4C23×C7911yescharacteristic
959C2×C22⋊C4C23×C7911yescharacteristic
960C2×C22⋊C4C23×C7911yescharacteristic
961C2×C22⋊C4C23×C7911yescharacteristic
962C2×C22⋊C4C23×C7911yescharacteristic
963C2×C22⋊C4C23×C7911yescharacteristic
964C2×C42—24no—
965C2×C42C23×C7911yescharacteristic
966C2×C42C23×C7911yescharacteristic
967C2×C42C23×C7911yescharacteristic
968C2×C42C23×C7911yescharacteristic
969C2×C42C23×C7911yescharacteristic
970C2×C42C23×C7911yescharacteristic
971C2×C42C23×C7911yescharacteristic
972C2×C42C23×C7911yescharacteristic
973C2×C42C23×C7911yescharacteristic
974C2×C42C23×C7911yescharacteristic
975C2×C42C23×C7911yescharacteristic
976C2×C42C23×C7911yescharacteristic
977C2×C42C23×C7911yescharacteristic
978C2×C42C23×C7911yescharacteristic
979C2×C42C23×C7911yescharacteristic
980C2×C42C23×C7911yescharacteristic
981C2×C42C23×C7911yescharacteristic
982C2×C42C23×C7911yescharacteristic
983C2×C42C23×C7911yescharacteristic
984C2×C42C23×C7911yescharacteristic
985C2×C42C23×C7911yescharacteristic
986C2×C42C23×C7911yescharacteristic
987C2×C42C23×C7911yescharacteristic
988C2×C42C23×C7911yescharacteristic
989C2×C42C23×C7911yescharacteristic
990C2×C42C23×C7911yescharacteristic
991#95C23×C7911yescharacteristic
992#95C23×C7911yescharacteristic
993#95C23×C7911yescharacteristic
994#95C23×C7911yescharacteristic
995#95C23×C7911yescharacteristic
996#95C23×C7911yescharacteristic
997#95C23×C7911yescharacteristic
998#95C23×C7911yescharacteristic
999#95C23×C7911yescharacteristic
1000#95C23×C7911yescharacteristic
1001#95C23×C7911yescharacteristic
1002#95C23×C7911yescharacteristic
1003#95C23×C7911yescharacteristic
1004#95C23×C7911yescharacteristic
1005#95C23×C7911yescharacteristic
1006#95C23×C7911yescharacteristic
1007#95C23×C7911yescharacteristic
1008#95C23×C7911yescharacteristic
1009#95C23×C7911yescharacteristic
1010#95C23×C7911yescharacteristic
1011#95C23×C7911yescharacteristic
1012#95C23×C7911yescharacteristic
1013#95C23×C7911yescharacteristic
1014#95C23×C7911yescharacteristic
1015#95C23×C7911yescharacteristic
1016#95C23×C7911yescharacteristic
1017#95C23×C7911yescharacteristic
1018#95C23×C7911yescharacteristic
1019#95C23×C7911yescharacteristic
1020#95C23×C7911yescharacteristic
1021#95C23×C7911yescharacteristic
1022#95C23×C7911yescharacteristic
1023#95C23×C7911yescharacteristic
1024#95C23×C7911yescharacteristic
1025#95C23×C7911yescharacteristic
1026#95C23×C7911yescharacteristic
1027#95C23×C7911yescharacteristic
1028#95C23×C7911yescharacteristic
1029#95C23×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
1041C24C24×C7911yescharacteristic
1042C24C24×C7911yescharacteristic
1043C24C24×C7911yescharacteristic
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—22no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4#41×C7914yes—
1068C22×C4C24×C7911yescharacteristic
1069C22×C4C24×C7911yescharacteristic
1070C22×C4C24×C7911yescharacteristic
1071C22×C4C24×C7911yescharacteristic
1072C22×C4C24×C7911yescharacteristic
1073C22×C4C24×C7911yescharacteristic
1074C22×C4C24×C7911yescharacteristic
1075C22×C4C24×C7911yescharacteristic
1076C22×C4C24×C7911yescharacteristic
1077C22×C4C24×C7911yescharacteristic
1078C22×C4C24×C7911yescharacteristic
1079C22×C4C24×C7911yescharacteristic
1080C22×C4C24×C7911yescharacteristic
1081C22×C4C24×C7911yescharacteristic
1082C22×C4C24×C7911yescharacteristic
1083C22×C4C24×C7911yescharacteristic
1084C22×C4C24×C7911yescharacteristic
1085C22×C4C24×C7911yescharacteristic
1086C22×C4C24×C7911yescharacteristic
1087C22×C4C24×C7911yescharacteristic
1088C22×C4C24×C7911yescharacteristic
1089C22×C4C24×C7911yescharacteristic
1090C22×C4C24×C7911yescharacteristic
1091C22×C4C24×C7911yescharacteristic
1092C22×C4C24×C7911yescharacteristic
1093C22×C4C24×C7911yescharacteristic
1094C22×C4C24×C7911yescharacteristic
1095C22×C4C24×C7911yescharacteristic
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4#41×C7914yes—
1132C4⋊C4#41×C7914yes—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C42—22no—
1168C42—22no—
1169C42—22no—
1170C42—22no—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—22no—
1175C42—22no—
1176C42—22no—
1177C42—22no—
1178C42—41no—
1179C42—41no—
1180C42—41no—
1181C42—41no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42—41no—
1192C42#41×C7914yes—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23C2×#41×C7912yes—
1214C23C25×C7911yescharacteristic
1215D4—44no—
1216D4—82no—
1217D4—82no—
1218C2×C4—28no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
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—44no—
1293C2×C4—44no—
1294C2×C4—82no—
1295C2×C4—82no—
1296C2×C4C2×#41×C7912yes—
1297C2×C4C2×#41×C7912yes—
1298C2×C4C2×#41×C7912yes—
1299C2×C4C2×#41×C7912yes—
1300C2×C4C2×#41×C7912yes—
1301C2×C4C2×#41×C7912yes—
1302C2×C4C2×#41×C7912yes—
1303C2×C4C2×#41×C7912yes—
1304C2×C4C2×#41×C7912yes—
1305C2×C4C2×#41×C7912yes—
1306C2×C4C2×#41×C7912yes—
1307C22—22no—
1308C22—22no—
1309C22—22no—
1310C22—41no—
1311C22—41no—
1312C22—41no—
1313C22—41no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—41no—
1318C22—41no—
1319C22—41no—
1320C22—41no—
1321C22—41no—
1322C22—41no—
1323C22—41no—
1324C22—41no—
1325C22—41no—
1326C22—41no—
1327C22—41no—
1328C22C22×#41×C7911yescharacteristic
1329C22C22×#41×C7911yescharacteristic
1330C22C22×#41×C7911yescharacteristic
1331C22C22×#41×C7911yescharacteristic
1332C22#585×C7911yescharacteristic
1333C22#585×C7911yescharacteristic
1334C22#585×C7911yescharacteristic
1335C4—22no—
1336C4—22no—
1337C4—22no—
1338C4—22no—
1339C4—22no—
1340C4—22no—
1341C4—22no—
1342C4—22no—
1343C4—22no—
1344C4—22no—
1345C4—22no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C4—41no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C2—42no—
1364C2—81no—
1365C2—81no—
1366C2C79×#344411yescharacteristic
1367C2C79×#347511yescharacteristic
1368C2C79×#348011yescharacteristic
1369C2C79×#348011yescharacteristic
1370C2C79×#349111yescharacteristic
1371C2C79×#351211yescharacteristic
1372C2C79×#352111yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutator, Frattini, cosocleC23C25×C79
prime radical#392×C79C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#2866C2semidirect
2. C79×#2860C2semidirect
3. C79×#2853C2semidirect
4. C79×#2608C2semidirect
6. C79×#2601C2semidirect
7. C79×#2601C2semidirect
8. C79×#2596C2semidirect
9. C79×#2594C2semidirect
10. C79×#2590C2semidirect
11. C79×#2576C2semidirect
12. C79×#2573C2semidirect
13. C79×#2558C2semidirect
14. C79×#2558C2semidirect
16. C79×#2528C2semidirect
17. C79×#2526C2semidirect
18. C79×#2519C2semidirect
19. C79×#2515C2semidirect
20. C79×#2475C2semidirect
22. C79×#2374C2semidirect
23. C79×#2374C2semidirect
24. C79×#2373C2semidirect
25. C79×#2373C2semidirect
26. C79×#2370C2semidirect
27. C79×#2357C2semidirect
28. C4×#125×C79C2semidirect
29. C4×#126×C79C2semidirect
30. C4×#123×C79C2semidirect
31. C4×#117×C79C2semidirect
676. #36525C79direct (N × H)
687. #2866C2×C79semidirect
688. #2860C2×C79semidirect
689. #2853C2×C79semidirect
690. #2608C2×C79semidirect
692. #2601C2×C79semidirect
693. #2601C2×C79semidirect
694. #2596C2×C79semidirect
695. #2594C2×C79semidirect
696. #2590C2×C79semidirect
697. #2576C2×C79semidirect
698. #2573C2×C79semidirect
699. #2558C2×C79semidirect
700. #2558C2×C79semidirect
702. #2528C2×C79semidirect
703. #2526C2×C79semidirect
704. #2519C2×C79semidirect
705. #2515C2×C79semidirect
706. #2475C2×C79semidirect
708. #2374C2×C79semidirect
709. #2374C2×C79semidirect
710. #2373C2×C79semidirect
711. #2373C2×C79semidirect
712. #2370C2×C79semidirect
713. #2357C2×C79semidirect
714. C4×#125C2×C79semidirect
715. C4×#126C2×C79semidirect
716. C4×#123C2×C79semidirect
717. C4×#117C2×C79semidirect
718. C79#36525direct (N × H)

Maximal subgroups

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

subgroupindex
C79×#28662
C79×#28602
C79×#28532
C79×#26082
C79×#26022
C79×#26012
C79×#25962
C79×#25942
C79×#25902
C79×#25762
C79×#25732
C79×#25582
C79×#25542
C79×#25282
C79×#25262
C79×#25192
C79×#25152
C79×#24752
C79×#24712
C79×#23742
C79×#23732
C79×#23702
C79×#23572
C4×#125×C792
C4×#126×C792
C4×#123×C792
C4×#117×C792
#3652579