Finite Group Databasebeta

← C79×#36800 #34148489

Subgroups — C79×#36800 #34148489

Order 20224.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#2853C211yesmaximal, characteristic, complemented
2C79×#2850C211yesmaximal, characteristic, complemented
3C79×#2795C211yesmaximal, characteristic, complemented
4C79×#2789C211yesmaximal, characteristic, complemented
5C79×#2785C211yesmaximal, characteristic, complemented
6C79×#2782C211yesmaximal, characteristic, complemented
7C79×#2778C211yesmaximal, characteristic, complemented
8C79×#2778C211yesmaximal, characteristic, complemented
9C79×#2754C211yesmaximal, characteristic, complemented
10C79×#2751C211yesmaximal, characteristic, complemented
11C79×#2730C211yesmaximal, characteristic, complemented
12C79×#2712C211yesmaximal, characteristic, complemented
13C79×#2709C211yesmaximal, characteristic, complemented
14C79×#2700C211yesmaximal, characteristic, complemented
15C79×#2686C211yesmaximal, characteristic, complemented
16C79×#2686C211yesmaximal, characteristic, complemented
17C79×#2680C211yesmaximal, characteristic, complemented
18C79×#2673C211yesmaximal, characteristic
19C79×#2653C211yesmaximal, characteristic, complemented
20C79×#2648C211yesmaximal, characteristic, complemented
21C79×#2610C211yesmaximal, characteristic, complemented
22C79×#2605C211yesmaximal, characteristic, complemented
23C79×#2598C211yesmaximal, characteristic, complemented
24C79×#2576C211yesmaximal, characteristic, complemented
25C79×#2557C211yesmaximal, characteristic, complemented
26C79×#2544C211yesmaximal, characteristic, complemented
27C79×#2477C211yesmaximal, characteristic, complemented
28C79×#2476C211yesmaximal, characteristic, complemented
29C79×#2337C211yesmaximal, characteristic, complemented
30C79×#2314C211yesmaximal, characteristic, complemented
31C79×#2290C211yesmaximal, characteristic, complemented
32C2×#127×C79C2211yescharacteristic
33C2×#124×C79C2211yescharacteristic
34C2×#124×C79C2211yescharacteristic
35C2×#124×C79C2211yescharacteristic
36C2×#124×C79C2211yescharacteristic
37C2×#123×C79C2211yescharacteristic
38C2×#123×C79C2211yescharacteristic
39C2×C22⋊Q8×C79C2211yescharacteristic
40C2×C22⋊Q8×C79C2211yescharacteristic
41C2×#121×C79C2211yescharacteristic
42C2×#121×C79C2211yescharacteristic
43C2×C4×D4×C79C2211yescharacteristic
44C2×#117×C79C2211yescharacteristic
45C2×#117×C79C2211yescharacteristic
46C22×C42×C79C2211yescharacteristic
47#401×C79C2211yescharacteristic
48#401×C79C2211yescharacteristic
49#400×C79C2211yescharacteristic
50#400×C79C2211yescharacteristic
51#400×C79C2211yescharacteristic
52#400×C79C2211yescharacteristic
53#400×C79C2211yescharacteristic
54#399×C79C2211yescharacteristic
55#398×C79C2211yescharacteristic
56#398×C79C2211yescharacteristic
57#397×C79C2211yescharacteristic
58#397×C79C2211yescharacteristic
59#397×C79C2211yescharacteristic
60#397×C79C2211yescharacteristic
61#397×C79C2211yescharacteristic
62#397×C79C2211yescharacteristic
63#397×C79C2211yescharacteristic
64#397×C79C2211yescharacteristic
65#396×C79C2211yescharacteristic
66#396×C79C2211yescharacteristic
67#395×C79C2211yescharacteristic
68#395×C79C2211yescharacteristic
69#395×C79C2211yescharacteristic
70#394×C79C2211yescharacteristic
71#394×C79C2211yescharacteristic
72#394×C79C2211yescharacteristic
73#394×C79C2211yescharacteristic
74#394×C79C2211yescharacteristic
75#394×C79C2211yescharacteristic
76#394×C79C2211yescharacteristic
77#394×C79C2211yescharacteristic
78#394×C79C2211yescharacteristic
79#394×C79C2211yescharacteristic
80#394×C79C2211yescharacteristic
81#394×C79C2211yescharacteristic
82#394×C79C2211yescharacteristic
83#394×C79C2211yescharacteristic
84#394×C79C2211yescharacteristic
85#394×C79C2211yescharacteristic
86#393×C79C2211yescharacteristic
87#393×C79C2211yescharacteristic
88#393×C79C2211yescharacteristic
89#393×C79C2211yescharacteristic
90#393×C79C2211yescharacteristic
91#392×C79C2211yescharacteristic
92#392×C79C2211yescharacteristic
93#392×C79C2211yescharacteristic
94#392×C79C2211yescharacteristic
95#391×C79C2211yescharacteristic
96#391×C79C2211yescharacteristic
97#391×C79C2211yescharacteristic
98#391×C79C2211yescharacteristic
99#391×C79C2211yescharacteristic
100#391×C79C2211yescharacteristic
101#391×C79C2211yescharacteristic
102#390×C79C2211yescharacteristic
103#390×C79C2211yescharacteristic
104#390×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#388×C79C2211yescharacteristic
114#388×C79C2211yescharacteristic
115#388×C79C2211yescharacteristic
116#388×C79C2211yescharacteristic
117#388×C79C2211yescharacteristic
118#388×C79C2211yescharacteristic
119#388×C79C2211yescharacteristic
120#388×C79C2211yescharacteristic
121#388×C79C2211yescharacteristic
122#388×C79C2211yescharacteristic
123#388×C79C2211yescharacteristic
124#388×C79C2211yescharacteristic
125#388×C79C2211yescharacteristic
126#388×C79C2211yescharacteristic
127#388×C79C2211yescharacteristic
128#388×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#387×C79C2211yescharacteristic
139#387×C79C2211yescharacteristic
140#387×C79C2211yescharacteristic
141#387×C79C2211yescharacteristic
142#387×C79C2211yescharacteristic
143#386×C79C2211yescharacteristic
144#386×C79C2211yescharacteristic
145#386×C79C2211yescharacteristic
146#386×C79C2211yescharacteristic
147#386×C79C2211yescharacteristic
148#386×C79C2211yescharacteristic
149#386×C79C2211yescharacteristic
150#386×C79C2211yescharacteristic
151#386×C79C2211yescharacteristic
152#386×C79C2211yescharacteristic
153#386×C79C2211yescharacteristic
154#386×C79C2211yescharacteristic
155#386×C79C2211yescharacteristic
156#386×C79C2211yescharacteristic
157#386×C79C2211yescharacteristic
158#386×C79C2211yescharacteristic
159#386×C79C2211yescharacteristic
160#386×C79C2211yescharacteristic
161#386×C79C2211yescharacteristic
162#386×C79C2211yescharacteristic
163#385×C79C2211yescharacteristic
164#385×C79C2211yescharacteristic
165#385×C79C2211yescharacteristic
166#385×C79C2211yescharacteristic
167#385×C79C2211yescharacteristic
168#385×C79C2211yescharacteristic
169#385×C79C2211yescharacteristic
170#385×C79C2211yescharacteristic
171#384×C79C2211yescharacteristic
172#383×C79C2211yescharacteristic
173#382×C79C2211yescharacteristic
174#382×C79C2211yescharacteristic
175#382×C79C2211yescharacteristic
176#381×C79C2211yescharacteristic
177#381×C79C2211yescharacteristic
178#380×C79C2211yescharacteristic
179#380×C79C2211yescharacteristic
180C4×C4⋊C4×C79C2211yescharacteristic
181C4×C4⋊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×Q8×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
200C23×C4×C79C2311yescharacteristic
201C23×C4×C79C2311yescharacteristic
202C23×C4×C79C2311yescharacteristic
203C23×C4×C79C2311yescharacteristic
204C23×C4×C79C2311yescharacteristic
205C23×C4×C79C2311yescharacteristic
206C23×C4×C79C2311yescharacteristic
207#127×C79—42no—
208#124×C79—24no—
209#124×C79—42no—
210#124×C79—42no—
211#124×C79—42no—
212#123×C79—42no—
213#123×C79—42no—
214C22⋊Q8×C79—42no—
215C22⋊Q8×C79—42no—
216#121×C79—42no—
217#121×C79—42no—
218C4×D4×C79—24no—
219#117×C79—24no—
220#117×C79—42no—
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×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×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×C42×C79—42no—
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
304C2×C42×C79C2311yescharacteristic
305C2×C42×C79C2311yescharacteristic
306C2×C42×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
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357C24×C79C2411yescharacteristic
358C24×C79C2411yescharacteristic
359C24×C79C2411yescharacteristic
360C24×C79C2411yescharacteristic
361C24×C79C2411yescharacteristic
362C2×Q8×C79—22no—
363C2×Q8×C79—22no—
364C2×Q8×C79—41no—
365C2×Q8×C79—41no—
366C2×Q8×C79—41no—
367C2×Q8×C79—41no—
368C2×Q8×C79—41no—
369C2×Q8×C79—41no—
370C2×Q8×C79—41no—
371C2×D4×C79—22no—
372C2×D4×C79—22no—
373C2×D4×C79—22no—
374C2×D4×C79—22no—
375C2×D4×C79—22no—
376C2×D4×C79—22no—
377C2×D4×C79—22no—
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—
385C2×D4×C79—41no—
386C2×D4×C79—41no—
387C2×D4×C79—41no—
388C2×D4×C79—41no—
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—
401C22×C4×C79—22no—
402C22×C4×C79—22no—
403C22×C4×C79—22no—
404C22×C4×C79—22no—
405C22×C4×C79—22no—
406C22×C4×C79—41no—
407C22×C4×C79—41no—
408C22×C4×C79—41no—
409C22×C4×C79—41no—
410C22×C4×C79—41no—
411C22×C4×C79—41no—
412C22×C4×C79—41no—
413C22×C4×C79—41no—
414C22×C4×C79—41no—
415C22×C4×C79—41no—
416C22×C4×C79—41no—
417C22×C4×C79—41no—
418C22×C4×C79—41no—
419C22×C4×C79—41no—
420C22×C4×C79—41no—
421C22×C4×C79—41no—
422C22×C4×C79C2411yescharacteristic
423C22×C4×C79C2411yescharacteristic
424C22×C4×C79C2411yescharacteristic
425C22×C4×C79C2411yescharacteristic
426C22×C4×C79C2411yescharacteristic
427C22×C4×C79C2411yescharacteristic
428C22×C4×C79C2411yescharacteristic
429C22×C4×C79C2411yescharacteristic
430C22×C4×C79C2411yescharacteristic
431C22×C4×C79C2411yescharacteristic
432C22×C4×C79C2411yescharacteristic
433C22×C4×C79C2411yescharacteristic
434C22×C4×C79C2411yescharacteristic
435C22×C4×C79C2411yescharacteristic
436C22×C4×C79C2411yescharacteristic
437C22×C4×C79C2411yescharacteristic
438C22×C4×C79C2411yescharacteristic
439C22×C4×C79C2411yescharacteristic
440C22×C4×C79C2411yescharacteristic
441C22×C4×C79C2411yescharacteristic
442C22×C4×C79C2411yescharacteristic
443C22×C4×C79C2411yescharacteristic
444C22×C4×C79C2411yescharacteristic
445C22×C4×C79C2411yescharacteristic
446C22×C4×C79C2411yescharacteristic
447C22×C4×C79C2411yescharacteristic
448C4⋊C4×C79—22no—
449C4⋊C4×C79—22no—
450C4⋊C4×C79—22no—
451C4⋊C4×C79—22no—
452C4⋊C4×C79—22no—
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—
468C4⋊C4×C79—41no—
469C4⋊C4×C79—41no—
470C4⋊C4×C79—41no—
471C4⋊C4×C79—41no—
472C4⋊C4×C79—41no—
473C22⋊C4×C79—22no—
474C22⋊C4×C79—22no—
475C22⋊C4×C79—22no—
476C22⋊C4×C79—22no—
477C22⋊C4×C79—22no—
478C22⋊C4×C79—22no—
479C22⋊C4×C79—22no—
480C22⋊C4×C79—22no—
481C22⋊C4×C79—22no—
482C22⋊C4×C79—22no—
483C22⋊C4×C79—22no—
484C22⋊C4×C79—22no—
485C22⋊C4×C79—22no—
486C22⋊C4×C79—22no—
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—
510C22⋊C4×C79—41no—
511C22⋊C4×C79—41no—
512C22⋊C4×C79—41no—
513C22⋊C4×C79—41no—
514C22⋊C4×C79—41no—
515C22⋊C4×C79—41no—
516C22⋊C4×C79—41no—
517C22⋊C4×C79—41no—
518C22⋊C4×C79—41no—
519C22⋊C4×C79—41no—
520C22⋊C4×C79—41no—
521C42×C79—22no—
522C42×C79—22no—
523C42×C79—22no—
524C42×C79—41no—
525C42×C79—41no—
526C42×C79—41no—
527C42×C79—41no—
528C42×C79—41no—
529C42×C79—41no—
530C42×C79—41no—
531C42×C79—41no—
532C42×C79#4114yes—
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×C79—21no—
551C23×C79—21no—
552C23×C79—21no—
553C23×C79—21no—
554C23×C79—21no—
555C23×C79—21no—
556C23×C79—21no—
557C23×C79—21no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79H(5,𝔽2)12yes—
568C23×C79C2511yescharacteristic
569Q8×C79—82no—
570Q8×C79—82no—
571Q8×C79—82no—
572D4×C79—44no—
573D4×C79—82no—
574D4×C79—82no—
575D4×C79—82no—
576D4×C79—82no—
577D4×C79—82no—
578D4×C79—82no—
579D4×C79—82no—
580D4×C79—82no—
581D4×C79—82no—
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—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
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—44no—
657C2×C4×C79—44no—
658C2×C4×C79—44no—
659C2×C4×C79—44no—
660C2×C4×C79—44no—
661C2×C4×C79—82no—
662C2×C4×C79—82no—
663C2×C4×C79C2×#4112yes—
664C2×C4×C79C2×#4112yes—
665C2×C4×C79C2×#4112yes—
666C2×C4×C79H(5,𝔽2)12yes—
667C22×C79—22no—
668C22×C79—22no—
669C22×C79—22no—
670C22×C79—41no—
671C22×C79—41no—
672C22×C79—41no—
673C22×C79—41no—
674C22×C79—41no—
675C22×C79—41no—
676C22×C79—41no—
677C22×C79—41no—
678C22×C79—41no—
679C22×C79—41no—
680C22×C79—41no—
681C22×C79—41no—
682C22×C79—41no—
683C22×C79—41no—
684C22×C79—41no—
685C22×C79—41no—
686C22×C79—41no—
687C22×C79—41no—
688C22×C79—41no—
689C22×C79—41no—
690C22×C79—41no—
691C22×C79—41no—
692C22×C79—41no—
693C22×C79—41no—
694C22×C79—41no—
695C22×C79—41no—
696C22×C79—41no—
697C22×C79—41no—
698C22×C79—41no—
699C22×C79—41no—
700C22×C79—41no—
701C22×C79—41no—
702C22×C79C22×#4111yescharacteristic
703C22×C79C2×H(5,𝔽2)11yescharacteristic
704C22×C79C2×H(5,𝔽2)11yescharacteristic
705C22×C79#58511yescharacteristic
706C22×C79#58511yescharacteristic
707C22×C79#58511yescharacteristic
708C22×C79#58511yescharacteristic
709C4×C79—22no—
710C4×C79—22no—
711C4×C79—22no—
712C4×C79—22no—
713C4×C79—41no—
714C4×C79—41no—
715C4×C79—41no—
716C4×C79—41no—
717C4×C79—41no—
718C4×C79—41no—
719C4×C79—41no—
720C4×C79—41no—
721C4×C79—41no—
722C4×C79—41no—
723C4×C79—41no—
724C4×C79—41no—
725C4×C79—41no—
726C4×C79—41no—
727C4×C79—41no—
728C4×C79—41no—
729C4×C79—41no—
730C4×C79—41no—
731C4×C79—41no—
732C4×C79—41no—
733C4×C79—41no—
734C4×C79—41no—
735#36800C7911yesmaximal, characteristic, direct product factor, Sylow
736C2×C79—42no—
737C2×C79—81no—
738C2×C79—81no—
739C2×C79—81no—
740C2×C79—81no—
741C2×C79#345511yescharacteristic
742C2×C79#349411yescharacteristic
743C2×C79#350611yescharacteristic
744C2×C79#353411yescharacteristic
745C2×C79#354011yescharacteristic
746C2×C79#354511yescharacteristic
747C2×C79#356611yescharacteristic
748#2853C2×C7911yescharacteristic, complemented
749#2850C2×C7911yescharacteristic, complemented
750#2795C2×C7911yescharacteristic, complemented
751#2789C2×C7911yescharacteristic, complemented
752#2785C2×C7911yescharacteristic, complemented
753#2782C2×C7911yescharacteristic, complemented
754#2778C2×C7911yescharacteristic, complemented
755#2778C2×C7911yescharacteristic, complemented
756#2754C2×C7911yescharacteristic, complemented
757#2751C2×C7911yescharacteristic, complemented
758#2730C2×C7911yescharacteristic, complemented
759#2712C2×C7911yescharacteristic, complemented
760#2709C2×C7911yescharacteristic, complemented
761#2700C2×C7911yescharacteristic, complemented
762#2686C2×C7911yescharacteristic, complemented
763#2686C2×C7911yescharacteristic, complemented
764#2680C2×C7911yescharacteristic, complemented
765#2673C2×C7911yescharacteristic
766#2653C2×C7911yescharacteristic, complemented
767#2648C2×C7911yescharacteristic, complemented
768#2610C2×C7911yescharacteristic, complemented
769#2605C2×C7911yescharacteristic, complemented
770#2598C2×C7911yescharacteristic, complemented
771#2576C2×C7911yescharacteristic, complemented
772#2557C2×C7911yescharacteristic, complemented
773#2544C2×C7911yescharacteristic, complemented
774#2477C2×C7911yescharacteristic, complemented
775#2476C2×C7911yescharacteristic, complemented
776#2337C2×C7911yescharacteristic, complemented
777#2314C2×C7911yescharacteristic, complemented
778#2290C2×C7911yescharacteristic, complemented
779C79#3680011yescharacteristic, direct product factor, Sylow
780C2×#127C22×C7911yescharacteristic
781C2×#124C22×C7911yescharacteristic
782C2×#124C22×C7911yescharacteristic
783C2×#124C22×C7911yescharacteristic
784C2×#124C22×C7911yescharacteristic
785C2×#123C22×C7911yescharacteristic
786C2×#123C22×C7911yescharacteristic
787C2×C22⋊Q8C22×C7911yescharacteristic
788C2×C22⋊Q8C22×C7911yescharacteristic
789C2×#121C22×C7911yescharacteristic
790C2×#121C22×C7911yescharacteristic
791C2×C4×D4C22×C7911yescharacteristic
792C2×#117C22×C7911yescharacteristic
793C2×#117C22×C7911yescharacteristic
794C22×C42C22×C7911yescharacteristic
795#401C22×C7911yescharacteristic
796#401C22×C7911yescharacteristic
797#400C22×C7911yescharacteristic
798#400C22×C7911yescharacteristic
799#400C22×C7911yescharacteristic
800#400C22×C7911yescharacteristic
801#400C22×C7911yescharacteristic
802#399C22×C7911yescharacteristic
803#398C22×C7911yescharacteristic
804#398C22×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#396C22×C7911yescharacteristic
814#396C22×C7911yescharacteristic
815#395C22×C7911yescharacteristic
816#395C22×C7911yescharacteristic
817#395C22×C7911yescharacteristic
818#394C22×C7911yescharacteristic
819#394C22×C7911yescharacteristic
820#394C22×C7911yescharacteristic
821#394C22×C7911yescharacteristic
822#394C22×C7911yescharacteristic
823#394C22×C7911yescharacteristic
824#394C22×C7911yescharacteristic
825#394C22×C7911yescharacteristic
826#394C22×C7911yescharacteristic
827#394C22×C7911yescharacteristic
828#394C22×C7911yescharacteristic
829#394C22×C7911yescharacteristic
830#394C22×C7911yescharacteristic
831#394C22×C7911yescharacteristic
832#394C22×C7911yescharacteristic
833#394C22×C7911yescharacteristic
834#393C22×C7911yescharacteristic
835#393C22×C7911yescharacteristic
836#393C22×C7911yescharacteristic
837#393C22×C7911yescharacteristic
838#393C22×C7911yescharacteristic
839#392C22×C7911yescharacteristic
840#392C22×C7911yescharacteristic
841#392C22×C7911yescharacteristic
842#392C22×C7911yescharacteristic
843#391C22×C7911yescharacteristic
844#391C22×C7911yescharacteristic
845#391C22×C7911yescharacteristic
846#391C22×C7911yescharacteristic
847#391C22×C7911yescharacteristic
848#391C22×C7911yescharacteristic
849#391C22×C7911yescharacteristic
850#390C22×C7911yescharacteristic
851#390C22×C7911yescharacteristic
852#390C22×C7911yescharacteristic
853#388C22×C7911yescharacteristic
854#388C22×C7911yescharacteristic
855#388C22×C7911yescharacteristic
856#388C22×C7911yescharacteristic
857#388C22×C7911yescharacteristic
858#388C22×C7911yescharacteristic
859#388C22×C7911yescharacteristic
860#388C22×C7911yescharacteristic
861#388C22×C7911yescharacteristic
862#388C22×C7911yescharacteristic
863#388C22×C7911yescharacteristic
864#388C22×C7911yescharacteristic
865#388C22×C7911yescharacteristic
866#388C22×C7911yescharacteristic
867#388C22×C7911yescharacteristic
868#388C22×C7911yescharacteristic
869#388C22×C7911yescharacteristic
870#388C22×C7911yescharacteristic
871#388C22×C7911yescharacteristic
872#388C22×C7911yescharacteristic
873#388C22×C7911yescharacteristic
874#388C22×C7911yescharacteristic
875#388C22×C7911yescharacteristic
876#388C22×C7911yescharacteristic
877#387C22×C7911yescharacteristic
878#387C22×C7911yescharacteristic
879#387C22×C7911yescharacteristic
880#387C22×C7911yescharacteristic
881#387C22×C7911yescharacteristic
882#387C22×C7911yescharacteristic
883#387C22×C7911yescharacteristic
884#387C22×C7911yescharacteristic
885#387C22×C7911yescharacteristic
886#387C22×C7911yescharacteristic
887#387C22×C7911yescharacteristic
888#387C22×C7911yescharacteristic
889#387C22×C7911yescharacteristic
890#387C22×C7911yescharacteristic
891#386C22×C7911yescharacteristic
892#386C22×C7911yescharacteristic
893#386C22×C7911yescharacteristic
894#386C22×C7911yescharacteristic
895#386C22×C7911yescharacteristic
896#386C22×C7911yescharacteristic
897#386C22×C7911yescharacteristic
898#386C22×C7911yescharacteristic
899#386C22×C7911yescharacteristic
900#386C22×C7911yescharacteristic
901#386C22×C7911yescharacteristic
902#386C22×C7911yescharacteristic
903#386C22×C7911yescharacteristic
904#386C22×C7911yescharacteristic
905#386C22×C7911yescharacteristic
906#386C22×C7911yescharacteristic
907#386C22×C7911yescharacteristic
908#386C22×C7911yescharacteristic
909#386C22×C7911yescharacteristic
910#386C22×C7911yescharacteristic
911#385C22×C7911yescharacteristic
912#385C22×C7911yescharacteristic
913#385C22×C7911yescharacteristic
914#385C22×C7911yescharacteristic
915#385C22×C7911yescharacteristic
916#385C22×C7911yescharacteristic
917#385C22×C7911yescharacteristic
918#385C22×C7911yescharacteristic
919#384C22×C7911yescharacteristic
920#383C22×C7911yescharacteristic
921#382C22×C7911yescharacteristic
922#382C22×C7911yescharacteristic
923#382C22×C7911yescharacteristic
924#381C22×C7911yescharacteristic
925#381C22×C7911yescharacteristic
926#380C22×C7911yescharacteristic
927#380C22×C7911yescharacteristic
928C4×C4⋊C4C22×C7911yescharacteristic
929C4×C4⋊C4C22×C7911yescharacteristic
930C4×C22⋊C4C22×C7911yescharacteristic
931C4×C22⋊C4C22×C7911yescharacteristic
932C4×C22⋊C4C22×C7911yescharacteristic
933C4×C22⋊C4C22×C7911yescharacteristic
934#376C22×C7911yescharacteristic
935C22×Q8C23×C7911yescharacteristic
936C22×Q8C23×C7911yescharacteristic
937C22×Q8C23×C7911yescharacteristic
938C22×D4C23×C7911yescharacteristic
939C22×D4C23×C7911yescharacteristic
940C22×D4C23×C7911yescharacteristic
941C22×D4C23×C7911yescharacteristic
942C22×D4C23×C7911yescharacteristic
943C22×D4C23×C7911yescharacteristic
944C22×D4C23×C7911yescharacteristic
945C22×D4C23×C7911yescharacteristic
946C22×D4C23×C7911yescharacteristic
947C22×D4C23×C7911yescharacteristic
948C23×C4C23×C7911yescharacteristic
949C23×C4C23×C7911yescharacteristic
950C23×C4C23×C7911yescharacteristic
951C23×C4C23×C7911yescharacteristic
952C23×C4C23×C7911yescharacteristic
953C23×C4C23×C7911yescharacteristic
954C23×C4C23×C7911yescharacteristic
955#127—42no—
956#124—24no—
957#124—42no—
958#124—42no—
959#124—42no—
960#123—42no—
961#123—42no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964#121—42no—
965#121—42no—
966C4×D4—24no—
967#117—24no—
968#117—42no—
969C2×C4⋊C4C23×C7911yescharacteristic
970C2×C4⋊C4C23×C7911yescharacteristic
971C2×C4⋊C4C23×C7911yescharacteristic
972C2×C4⋊C4C23×C7911yescharacteristic
973C2×C4⋊C4C23×C7911yescharacteristic
974C2×C4⋊C4C23×C7911yescharacteristic
975C2×C4⋊C4C23×C7911yescharacteristic
976C2×C4⋊C4C23×C7911yescharacteristic
977C2×C4⋊C4C23×C7911yescharacteristic
978C2×C4⋊C4C23×C7911yescharacteristic
979C2×C4⋊C4C23×C7911yescharacteristic
980C2×C4⋊C4C23×C7911yescharacteristic
981C2×C4⋊C4C23×C7911yescharacteristic
982C2×C4⋊C4C23×C7911yescharacteristic
983C2×C4⋊C4C23×C7911yescharacteristic
984C2×C4⋊C4C23×C7911yescharacteristic
985C2×C4⋊C4C23×C7911yescharacteristic
986C2×C4⋊C4C23×C7911yescharacteristic
987C2×C4⋊C4C23×C7911yescharacteristic
988C2×C4⋊C4C23×C7911yescharacteristic
989C2×C4⋊C4C23×C7911yescharacteristic
990C2×C4⋊C4C23×C7911yescharacteristic
991C2×C4⋊C4C23×C7911yescharacteristic
992C2×C4⋊C4C23×C7911yescharacteristic
993C2×C4⋊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×C22⋊C4C23×C7911yescharacteristic
1017C2×C22⋊C4C23×C7911yescharacteristic
1018C2×C22⋊C4C23×C7911yescharacteristic
1019C2×C22⋊C4C23×C7911yescharacteristic
1020C2×C22⋊C4C23×C7911yescharacteristic
1021C2×C22⋊C4C23×C7911yescharacteristic
1022C2×C22⋊C4C23×C7911yescharacteristic
1023C2×C22⋊C4C23×C7911yescharacteristic
1024C2×C22⋊C4C23×C7911yescharacteristic
1025C2×C22⋊C4C23×C7911yescharacteristic
1026C2×C22⋊C4C23×C7911yescharacteristic
1027C2×C22⋊C4C23×C7911yescharacteristic
1028C2×C22⋊C4C23×C7911yescharacteristic
1029C2×C22⋊C4C23×C7911yescharacteristic
1030C2×C22⋊C4C23×C7911yescharacteristic
1031C2×C22⋊C4C23×C7911yescharacteristic
1032C2×C22⋊C4C23×C7911yescharacteristic
1033C2×C22⋊C4C23×C7911yescharacteristic
1034C2×C22⋊C4C23×C7911yescharacteristic
1035C2×C22⋊C4C23×C7911yescharacteristic
1036C2×C22⋊C4C23×C7911yescharacteristic
1037C2×C22⋊C4C23×C7911yescharacteristic
1038C2×C22⋊C4C23×C7911yescharacteristic
1039C2×C22⋊C4C23×C7911yescharacteristic
1040C2×C22⋊C4C23×C7911yescharacteristic
1041C2×C22⋊C4C23×C7911yescharacteristic
1042C2×C42—42no—
1043C2×C42C23×C7911yescharacteristic
1044C2×C42C23×C7911yescharacteristic
1045C2×C42C23×C7911yescharacteristic
1046C2×C42C23×C7911yescharacteristic
1047C2×C42C23×C7911yescharacteristic
1048C2×C42C23×C7911yescharacteristic
1049C2×C42C23×C7911yescharacteristic
1050C2×C42C23×C7911yescharacteristic
1051C2×C42C23×C7911yescharacteristic
1052C2×C42C23×C7911yescharacteristic
1053C2×C42C23×C7911yescharacteristic
1054C2×C42C23×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
1078#95C23×C7911yescharacteristic
1079#95C23×C7911yescharacteristic
1080#95C23×C7911yescharacteristic
1081#95C23×C7911yescharacteristic
1082#95C23×C7911yescharacteristic
1083#95C23×C7911yescharacteristic
1084#95C23×C7911yescharacteristic
1085#95C23×C7911yescharacteristic
1086#95C23×C7911yescharacteristic
1087#95C23×C7911yescharacteristic
1088#95C23×C7911yescharacteristic
1089#95C23×C7911yescharacteristic
1090#95C23×C7911yescharacteristic
1091#95C23×C7911yescharacteristic
1092#95C23×C7911yescharacteristic
1093#95C23×C7911yescharacteristic
1094#95C23×C7911yescharacteristic
1095#95C23×C7911yescharacteristic
1096#95C23×C7911yescharacteristic
1097#95C23×C7911yescharacteristic
1098#95C23×C7911yescharacteristic
1099#95C23×C7911yescharacteristic
1100#95C23×C7911yescharacteristic
1101#95C23×C7911yescharacteristic
1102#95C23×C7911yescharacteristic
1103#95C23×C7911yescharacteristic
1104#95C23×C7911yescharacteristic
1105C24C24×C7911yescharacteristic
1106C24C24×C7911yescharacteristic
1107C24C24×C7911yescharacteristic
1108C24C24×C7911yescharacteristic
1109C24C24×C7911yescharacteristic
1110C2×Q8—22no—
1111C2×Q8—22no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×Q8—41no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—41no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
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—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4C24×C7911yescharacteristic
1171C22×C4C24×C7911yescharacteristic
1172C22×C4C24×C7911yescharacteristic
1173C22×C4C24×C7911yescharacteristic
1174C22×C4C24×C7911yescharacteristic
1175C22×C4C24×C7911yescharacteristic
1176C22×C4C24×C7911yescharacteristic
1177C22×C4C24×C7911yescharacteristic
1178C22×C4C24×C7911yescharacteristic
1179C22×C4C24×C7911yescharacteristic
1180C22×C4C24×C7911yescharacteristic
1181C22×C4C24×C7911yescharacteristic
1182C22×C4C24×C7911yescharacteristic
1183C22×C4C24×C7911yescharacteristic
1184C22×C4C24×C7911yescharacteristic
1185C22×C4C24×C7911yescharacteristic
1186C22×C4C24×C7911yescharacteristic
1187C22×C4C24×C7911yescharacteristic
1188C22×C4C24×C7911yescharacteristic
1189C22×C4C24×C7911yescharacteristic
1190C22×C4C24×C7911yescharacteristic
1191C22×C4C24×C7911yescharacteristic
1192C22×C4C24×C7911yescharacteristic
1193C22×C4C24×C7911yescharacteristic
1194C22×C4C24×C7911yescharacteristic
1195C22×C4C24×C7911yescharacteristic
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
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—
1269C42—22no—
1270C42—22no—
1271C42—22no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42#41×C7914yes—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23H(5,𝔽2)×C7912yes—
1316C23C25×C7911yescharacteristic
1317Q8—82no—
1318Q8—82no—
1319Q8—82no—
1320D4—44no—
1321D4—82no—
1322D4—82no—
1323D4—82no—
1324D4—82no—
1325D4—82no—
1326D4—82no—
1327D4—82no—
1328D4—82no—
1329D4—82no—
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—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—82no—
1410C2×C4—82no—
1411C2×C4C2×#41×C7912yes—
1412C2×C4C2×#41×C7912yes—
1413C2×C4C2×#41×C7912yes—
1414C2×C4H(5,𝔽2)×C7912yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22C22×#41×C7911yescharacteristic
1451C22C2×H(5,𝔽2)×C7911yescharacteristic
1452C22C2×H(5,𝔽2)×C7911yescharacteristic
1453C22#585×C7911yescharacteristic
1454C22#585×C7911yescharacteristic
1455C22#585×C7911yescharacteristic
1456C22#585×C7911yescharacteristic
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—22no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C2—42no—
1484C2—81no—
1485C2—81no—
1486C2—81no—
1487C2—81no—
1488C2C79×#345511yescharacteristic
1489C2C79×#349411yescharacteristic
1490C2C79×#350611yescharacteristic
1491C2C79×#353411yescharacteristic
1492C2C79×#354011yescharacteristic
1493C2C79×#354511yescharacteristic
1494C2C79×#356611yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutator, Frattini, cosocleC23C25×C79
prime radicalC79×#2673C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#2853C2semidirect
2. C79×#2850C2semidirect
3. C79×#2795C2semidirect
4. C79×#2789C2semidirect
5. C79×#2785C2semidirect
6. C79×#2782C2semidirect
7. C79×#2778C2semidirect
8. C79×#2778C2semidirect
9. C79×#2754C2semidirect
10. C79×#2751C2semidirect
11. C79×#2730C2semidirect
12. C79×#2712C2semidirect
13. C79×#2709C2semidirect
14. C79×#2700C2semidirect
15. C79×#2686C2semidirect
16. C79×#2686C2semidirect
17. C79×#2680C2semidirect
19. C79×#2653C2semidirect
20. C79×#2648C2semidirect
21. C79×#2610C2semidirect
22. C79×#2605C2semidirect
23. C79×#2598C2semidirect
24. C79×#2576C2semidirect
25. C79×#2557C2semidirect
26. C79×#2544C2semidirect
27. C79×#2477C2semidirect
28. C79×#2476C2semidirect
29. C79×#2337C2semidirect
30. C79×#2314C2semidirect
31. C79×#2290C2semidirect
735. #36800C79direct (N × H)
748. #2853C2×C79semidirect
749. #2850C2×C79semidirect
750. #2795C2×C79semidirect
751. #2789C2×C79semidirect
752. #2785C2×C79semidirect
753. #2782C2×C79semidirect
754. #2778C2×C79semidirect
755. #2778C2×C79semidirect
756. #2754C2×C79semidirect
757. #2751C2×C79semidirect
758. #2730C2×C79semidirect
759. #2712C2×C79semidirect
760. #2709C2×C79semidirect
761. #2700C2×C79semidirect
762. #2686C2×C79semidirect
763. #2686C2×C79semidirect
764. #2680C2×C79semidirect
766. #2653C2×C79semidirect
767. #2648C2×C79semidirect
768. #2610C2×C79semidirect
769. #2605C2×C79semidirect
770. #2598C2×C79semidirect
771. #2576C2×C79semidirect
772. #2557C2×C79semidirect
773. #2544C2×C79semidirect
774. #2477C2×C79semidirect
775. #2476C2×C79semidirect
776. #2337C2×C79semidirect
777. #2314C2×C79semidirect
778. #2290C2×C79semidirect
779. C79#36800direct (N × H)

Maximal subgroups

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

subgroupindex
C79×#28532
C79×#28502
C79×#27952
C79×#27892
C79×#27852
C79×#27822
C79×#27782
C79×#27542
C79×#27512
C79×#27302
C79×#27122
C79×#27092
C79×#27002
C79×#26862
C79×#26802
C79×#26732
C79×#26532
C79×#26482
C79×#26102
C79×#26052
C79×#25982
C79×#25762
C79×#25572
C79×#25442
C79×#24772
C79×#24762
C79×#23372
C79×#23142
C79×#22902
#3680079