Finite Group Databasebeta

← C79×#36797 #34148486

Subgroups — C79×#36797 #34148486

Order 20224.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#2852C211yesmaximal, characteristic, complemented
2C79×#2850C211yesmaximal, characteristic, complemented
3C79×#2796C211yesmaximal, characteristic, complemented
4C79×#2775C211yesmaximal, characteristic, complemented
5C79×#2773C211yesmaximal, characteristic, complemented
6C79×#2772C211yesmaximal, characteristic, complemented
7C79×#2770C211yesmaximal, characteristic, complemented
8C79×#2767C211yesmaximal, characteristic, complemented
9C79×#2762C211yesmaximal, characteristic, complemented
10C79×#2754C211yesmaximal, characteristic, complemented
11C79×#2751C211yesmaximal, characteristic, complemented
12C79×#2746C211yesmaximal, characteristic, complemented
13C79×#2741C211yesmaximal, characteristic, complemented
14C79×#2737C211yesmaximal, characteristic, complemented
15C79×#2730C211yesmaximal, characteristic, complemented
16C79×#2717C211yesmaximal, characteristic, complemented
17C79×#2705C211yesmaximal, characteristic, complemented
18C79×#2698C211yesmaximal, characteristic, complemented
19C79×#2643C211yesmaximal, characteristic, complemented
20C79×#2639C211yesmaximal, characteristic, complemented
21C79×#2549C211yesmaximal, characteristic, complemented
22C79×#2543C211yesmaximal, characteristic
23C79×#2504C211yesmaximal, characteristic, complemented
24C79×#2487C211yesmaximal, characteristic, complemented
25C79×#2450C211yesmaximal, characteristic, complemented
26C79×#2449C211yesmaximal, characteristic, complemented
27C79×#2444C211yesmaximal, characteristic, complemented
28C79×#2443C211yesmaximal, characteristic, complemented
29C79×#2325C211yesmaximal, characteristic, complemented
30C79×#2318C211yesmaximal, characteristic, complemented
31C2×#387×C79C211yesmaximal, characteristic, complemented
32C2×#126×C79C2211yescharacteristic
33C2×#124×C79C2211yescharacteristic
34C2×#123×C79C2211yescharacteristic
35C2×C22⋊Q8×C79C2211yescharacteristic
36C2×C22⋊Q8×C79C2211yescharacteristic
37C2×C22⋊Q8×C79C2211yescharacteristic
38C2×#121×C79C2211yescharacteristic
39C2×#121×C79C2211yescharacteristic
40C2×#121×C79C2211yescharacteristic
41C2×C4×D4×C79C2211yescharacteristic
42C2×C4×D4×C79C2211yescharacteristic
43C2×C4×D4×C79C2211yescharacteristic
44C22×C4⋊C4×C79C2211yescharacteristic
45C22×C4⋊C4×C79C2211yescharacteristic
46C22×C42×C79C2211yescharacteristic
47#401×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#399×C79C2211yescharacteristic
58#399×C79C2211yescharacteristic
59#399×C79C2211yescharacteristic
60#399×C79C2211yescharacteristic
61#398×C79C2211yescharacteristic
62#398×C79C2211yescharacteristic
63#398×C79C2211yescharacteristic
64#398×C79C2211yescharacteristic
65#398×C79C2211yescharacteristic
66#398×C79C2211yescharacteristic
67#397×C79C2211yescharacteristic
68#397×C79C2211yescharacteristic
69#397×C79C2211yescharacteristic
70#397×C79C2211yescharacteristic
71#397×C79C2211yescharacteristic
72#397×C79C2211yescharacteristic
73#397×C79C2211yescharacteristic
74#397×C79C2211yescharacteristic
75#397×C79C2211yescharacteristic
76#397×C79C2211yescharacteristic
77#397×C79C2211yescharacteristic
78#397×C79C2211yescharacteristic
79#397×C79C2211yescharacteristic
80#396×C79C2211yescharacteristic
81#396×C79C2211yescharacteristic
82#396×C79C2211yescharacteristic
83#395×C79C2211yescharacteristic
84#395×C79C2211yescharacteristic
85#395×C79C2211yescharacteristic
86#394×C79C2211yescharacteristic
87#394×C79C2211yescharacteristic
88#394×C79C2211yescharacteristic
89#394×C79C2211yescharacteristic
90#394×C79C2211yescharacteristic
91#393×C79C2211yescharacteristic
92#393×C79C2211yescharacteristic
93#393×C79C2211yescharacteristic
94#392×C79C2211yescharacteristic
95#391×C79C2211yescharacteristic
96#391×C79C2211yescharacteristic
97#391×C79C2211yescharacteristic
98#391×C79C2211yescharacteristic
99#390×C79C2211yescharacteristic
100#390×C79C2211yescharacteristic
101#390×C79C2211yescharacteristic
102#389×C79C2211yescharacteristic
103#389×C79C2211yescharacteristic
104#389×C79C2211yescharacteristic
105#389×C79C2211yescharacteristic
106#389×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#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#387×C79C2211yescharacteristic
139#387×C79C2211yescharacteristic
140#387×C79C2211yescharacteristic
141#386×C79C2211yescharacteristic
142#386×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#385×C79C2211yescharacteristic
159#385×C79C2211yescharacteristic
160#385×C79C2211yescharacteristic
161#385×C79C2211yescharacteristic
162#385×C79C2211yescharacteristic
163#385×C79C2211yescharacteristic
164#385×C79C2211yescharacteristic
165#385×C79C2211yescharacteristic
166#385×C79C2211yescharacteristic
167#385×C79C2211yescharacteristic
168#385×C79C2211yescharacteristic
169#383×C79C2211yescharacteristic
170#383×C79C2211yescharacteristic
171#382×C79C2211yescharacteristic
172#382×C79C2211yescharacteristic
173#382×C79C2211yescharacteristic
174#382×C79C2211yescharacteristic
175#381×C79C2211yescharacteristic
176#381×C79C2211yescharacteristic
177#380×C79C2211yescharacteristic
178#380×C79C2211yescharacteristic
179#380×C79C2211yescharacteristic
180#380×C79C2211yescharacteristic
181#380×C79C2211yescharacteristic
182C4×C22⋊C4×C79C2211yescharacteristic
183C2×#95×C79C2211yescharacteristic
184C2×#95×C79C2211yescharacteristic
185C2×#95×C79C2211yescharacteristic
186C2×#95×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
201C23×C4×C79C2311yescharacteristic
202C23×C4×C79C2311yescharacteristic
203C23×C4×C79C2311yescharacteristic
204C23×C4×C79C2311yescharacteristic
205#126×C79—42no—
206#124×C79—42no—
207#123×C79—42no—
208C22⋊Q8×C79—42no—
209C22⋊Q8×C79—42no—
210C22⋊Q8×C79—42no—
211#121×C79—24no—
212#121×C79—42no—
213#121×C79—42no—
214C4×D4×C79—24no—
215C4×D4×C79—42no—
216C4×D4×C79—42no—
217C2×C4⋊C4×C79—24no—
218C2×C4⋊C4×C79—42no—
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×C42×C79—42no—
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
301#95×C79C2311yescharacteristic
302#95×C79C2311yescharacteristic
303#95×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
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—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—
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—41no—
394C22×C4×C79—41no—
395C22×C4×C79—41no—
396C22×C4×C79—41no—
397C22×C4×C79—41no—
398C22×C4×C79—41no—
399C22×C4×C79—41no—
400C22×C4×C79—41no—
401C22×C4×C79—41no—
402C22×C4×C79—41no—
403C22×C4×C79—41no—
404C22×C4×C79—41no—
405C22×C4×C79—41no—
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#4114yes—
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
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
442C4⋊C4×C79—22no—
443C4⋊C4×C79—22no—
444C4⋊C4×C79—22no—
445C4⋊C4×C79—22no—
446C4⋊C4×C79—22no—
447C4⋊C4×C79—22no—
448C4⋊C4×C79—22no—
449C4⋊C4×C79—22no—
450C4⋊C4×C79—22no—
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—
468C4⋊C4×C79—41no—
469C4⋊C4×C79—41no—
470C4⋊C4×C79—41no—
471C4⋊C4×C79—41no—
472C4⋊C4×C79—41no—
473C4⋊C4×C79—41no—
474C4⋊C4×C79—41no—
475C4⋊C4×C79—41no—
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—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—
510C22⋊C4×C79—41no—
511C22⋊C4×C79—41no—
512C22⋊C4×C79—41no—
513C22⋊C4×C79—41no—
514C42×C79—22no—
515C42×C79—22no—
516C42×C79—22no—
517C42×C79—41no—
518C42×C79—41no—
519C42×C79—41no—
520C42×C79—41no—
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×C79C2×#4112yes—
549C23×C79H(5,𝔽2)12yes—
550C23×C792−1+412yes—
551C23×C79C2511yescharacteristic
552Q8×C79—82no—
553Q8×C79—82no—
554D4×C79—44no—
555D4×C79—44no—
556D4×C79—44no—
557D4×C79—82no—
558D4×C79—82no—
559D4×C79—82no—
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—21no—
637C2×C4×C79—21no—
638C2×C4×C79—44no—
639C2×C4×C79—44no—
640C2×C4×C79—44no—
641C2×C4×C79—44no—
642C2×C4×C79—44no—
643C2×C4×C79—82no—
644C2×C4×C79—82no—
645C2×C4×C79—82no—
646C2×C4×C79—82no—
647C2×C4×C79—82no—
648C2×C4×C79C2×#4112yes—
649C2×C4×C79C2×#4112yes—
650C2×C4×C79H(5,𝔽2)12yes—
651C22×C79—22no—
652C22×C79—22no—
653C22×C79—22no—
654C22×C79—22no—
655C22×C79—22no—
656C22×C79—22no—
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×C79—41no—
676C22×C79—41no—
677C22×C79—41no—
678C22×C79#54214yes—
679C22×C79C22×#4111yescharacteristic
680C22×C79C2×H(5,𝔽2)11yescharacteristic
681C22×C79C2×H(5,𝔽2)11yescharacteristic
682C22×C79C2×2−1+411yescharacteristic
683C22×C79#58511yescharacteristic
684C22×C79#58511yescharacteristic
685C22×C79#58511yescharacteristic
686C4×C79—22no—
687C4×C79—22no—
688C4×C79—22no—
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—41no—
709C4×C79—41no—
710C4×C79—41no—
711C4×C79—41no—
712C4×C79—41no—
713#36797C7911yesmaximal, characteristic, direct product factor, Sylow
714C2×C79—24no—
715C2×C79—81no—
716C2×C79—81no—
717C2×C79—81no—
718C2×C79C2×#54211yescharacteristic
719C2×C79#349111yescharacteristic
720C2×C79#350611yescharacteristic
721C2×C79#353411yescharacteristic
722C2×C79#354111yescharacteristic
723C2×C79#355311yescharacteristic
724C2×C79#356011yescharacteristic
725#2852C2×C7911yescharacteristic, complemented
726#2850C2×C7911yescharacteristic, complemented
727#2796C2×C7911yescharacteristic, complemented
728#2775C2×C7911yescharacteristic, complemented
729#2773C2×C7911yescharacteristic, complemented
730#2772C2×C7911yescharacteristic, complemented
731#2770C2×C7911yescharacteristic, complemented
732#2767C2×C7911yescharacteristic, complemented
733#2762C2×C7911yescharacteristic, complemented
734#2754C2×C7911yescharacteristic, complemented
735#2751C2×C7911yescharacteristic, complemented
736#2746C2×C7911yescharacteristic, complemented
737#2741C2×C7911yescharacteristic, complemented
738#2737C2×C7911yescharacteristic, complemented
739#2730C2×C7911yescharacteristic, complemented
740#2717C2×C7911yescharacteristic, complemented
741#2705C2×C7911yescharacteristic, complemented
742#2698C2×C7911yescharacteristic, complemented
743#2643C2×C7911yescharacteristic, complemented
744#2639C2×C7911yescharacteristic, complemented
745#2549C2×C7911yescharacteristic, complemented
746#2543C2×C7911yescharacteristic
747#2504C2×C7911yescharacteristic, complemented
748#2487C2×C7911yescharacteristic, complemented
749#2450C2×C7911yescharacteristic, complemented
750#2449C2×C7911yescharacteristic, complemented
751#2444C2×C7911yescharacteristic, complemented
752#2443C2×C7911yescharacteristic, complemented
753#2325C2×C7911yescharacteristic, complemented
754#2318C2×C7911yescharacteristic, complemented
755C2×#387C2×C7911yescharacteristic, complemented
756C79#3679711yescharacteristic, direct product factor, Sylow
757C2×#126C22×C7911yescharacteristic
758C2×#124C22×C7911yescharacteristic
759C2×#123C22×C7911yescharacteristic
760C2×C22⋊Q8C22×C7911yescharacteristic
761C2×C22⋊Q8C22×C7911yescharacteristic
762C2×C22⋊Q8C22×C7911yescharacteristic
763C2×#121C22×C7911yescharacteristic
764C2×#121C22×C7911yescharacteristic
765C2×#121C22×C7911yescharacteristic
766C2×C4×D4C22×C7911yescharacteristic
767C2×C4×D4C22×C7911yescharacteristic
768C2×C4×D4C22×C7911yescharacteristic
769C22×C4⋊C4C22×C7911yescharacteristic
770C22×C4⋊C4C22×C7911yescharacteristic
771C22×C42C22×C7911yescharacteristic
772#401C22×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#398C22×C7911yescharacteristic
787#398C22×C7911yescharacteristic
788#398C22×C7911yescharacteristic
789#398C22×C7911yescharacteristic
790#398C22×C7911yescharacteristic
791#398C22×C7911yescharacteristic
792#397C22×C7911yescharacteristic
793#397C22×C7911yescharacteristic
794#397C22×C7911yescharacteristic
795#397C22×C7911yescharacteristic
796#397C22×C7911yescharacteristic
797#397C22×C7911yescharacteristic
798#397C22×C7911yescharacteristic
799#397C22×C7911yescharacteristic
800#397C22×C7911yescharacteristic
801#397C22×C7911yescharacteristic
802#397C22×C7911yescharacteristic
803#397C22×C7911yescharacteristic
804#397C22×C7911yescharacteristic
805#396C22×C7911yescharacteristic
806#396C22×C7911yescharacteristic
807#396C22×C7911yescharacteristic
808#395C22×C7911yescharacteristic
809#395C22×C7911yescharacteristic
810#395C22×C7911yescharacteristic
811#394C22×C7911yescharacteristic
812#394C22×C7911yescharacteristic
813#394C22×C7911yescharacteristic
814#394C22×C7911yescharacteristic
815#394C22×C7911yescharacteristic
816#393C22×C7911yescharacteristic
817#393C22×C7911yescharacteristic
818#393C22×C7911yescharacteristic
819#392C22×C7911yescharacteristic
820#391C22×C7911yescharacteristic
821#391C22×C7911yescharacteristic
822#391C22×C7911yescharacteristic
823#391C22×C7911yescharacteristic
824#390C22×C7911yescharacteristic
825#390C22×C7911yescharacteristic
826#390C22×C7911yescharacteristic
827#389C22×C7911yescharacteristic
828#389C22×C7911yescharacteristic
829#389C22×C7911yescharacteristic
830#389C22×C7911yescharacteristic
831#389C22×C7911yescharacteristic
832#388C22×C7911yescharacteristic
833#388C22×C7911yescharacteristic
834#388C22×C7911yescharacteristic
835#388C22×C7911yescharacteristic
836#388C22×C7911yescharacteristic
837#388C22×C7911yescharacteristic
838#388C22×C7911yescharacteristic
839#388C22×C7911yescharacteristic
840#388C22×C7911yescharacteristic
841#388C22×C7911yescharacteristic
842#388C22×C7911yescharacteristic
843#388C22×C7911yescharacteristic
844#388C22×C7911yescharacteristic
845#388C22×C7911yescharacteristic
846#388C22×C7911yescharacteristic
847#387C22×C7911yescharacteristic
848#387C22×C7911yescharacteristic
849#387C22×C7911yescharacteristic
850#387C22×C7911yescharacteristic
851#387C22×C7911yescharacteristic
852#387C22×C7911yescharacteristic
853#387C22×C7911yescharacteristic
854#387C22×C7911yescharacteristic
855#387C22×C7911yescharacteristic
856#387C22×C7911yescharacteristic
857#387C22×C7911yescharacteristic
858#387C22×C7911yescharacteristic
859#387C22×C7911yescharacteristic
860#387C22×C7911yescharacteristic
861#387C22×C7911yescharacteristic
862#387C22×C7911yescharacteristic
863#387C22×C7911yescharacteristic
864#387C22×C7911yescharacteristic
865#387C22×C7911yescharacteristic
866#386C22×C7911yescharacteristic
867#386C22×C7911yescharacteristic
868#386C22×C7911yescharacteristic
869#386C22×C7911yescharacteristic
870#386C22×C7911yescharacteristic
871#386C22×C7911yescharacteristic
872#386C22×C7911yescharacteristic
873#386C22×C7911yescharacteristic
874#386C22×C7911yescharacteristic
875#386C22×C7911yescharacteristic
876#386C22×C7911yescharacteristic
877#386C22×C7911yescharacteristic
878#386C22×C7911yescharacteristic
879#386C22×C7911yescharacteristic
880#386C22×C7911yescharacteristic
881#386C22×C7911yescharacteristic
882#386C22×C7911yescharacteristic
883#385C22×C7911yescharacteristic
884#385C22×C7911yescharacteristic
885#385C22×C7911yescharacteristic
886#385C22×C7911yescharacteristic
887#385C22×C7911yescharacteristic
888#385C22×C7911yescharacteristic
889#385C22×C7911yescharacteristic
890#385C22×C7911yescharacteristic
891#385C22×C7911yescharacteristic
892#385C22×C7911yescharacteristic
893#385C22×C7911yescharacteristic
894#383C22×C7911yescharacteristic
895#383C22×C7911yescharacteristic
896#382C22×C7911yescharacteristic
897#382C22×C7911yescharacteristic
898#382C22×C7911yescharacteristic
899#382C22×C7911yescharacteristic
900#381C22×C7911yescharacteristic
901#381C22×C7911yescharacteristic
902#380C22×C7911yescharacteristic
903#380C22×C7911yescharacteristic
904#380C22×C7911yescharacteristic
905#380C22×C7911yescharacteristic
906#380C22×C7911yescharacteristic
907C4×C22⋊C4C22×C7911yescharacteristic
908C2×#95C22×C7911yescharacteristic
909C2×#95C22×C7911yescharacteristic
910C2×#95C22×C7911yescharacteristic
911C2×#95C22×C7911yescharacteristic
912C22×Q8C23×C7911yescharacteristic
913C22×Q8C23×C7911yescharacteristic
914C22×D4C23×C7911yescharacteristic
915C22×D4C23×C7911yescharacteristic
916C22×D4C23×C7911yescharacteristic
917C22×D4C23×C7911yescharacteristic
918C22×D4C23×C7911yescharacteristic
919C22×D4C23×C7911yescharacteristic
920C23×C4C23×C7911yescharacteristic
921C23×C4C23×C7911yescharacteristic
922C23×C4C23×C7911yescharacteristic
923C23×C4C23×C7911yescharacteristic
924C23×C4C23×C7911yescharacteristic
925C23×C4C23×C7911yescharacteristic
926C23×C4C23×C7911yescharacteristic
927C23×C4C23×C7911yescharacteristic
928C23×C4C23×C7911yescharacteristic
929C23×C4C23×C7911yescharacteristic
930#126—42no—
931#124—42no—
932#123—42no—
933C22⋊Q8—42no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936#121—24no—
937#121—42no—
938#121—42no—
939C4×D4—24no—
940C4×D4—42no—
941C4×D4—42no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—42no—
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×C4⋊C4C23×C7911yescharacteristic
975C2×C4⋊C4C23×C7911yescharacteristic
976C2×C4⋊C4C23×C7911yescharacteristic
977C2×C4⋊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
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
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
1078#95C23×C7911yescharacteristic
1079#95C23×C7911yescharacteristic
1080#95C23×C7911yescharacteristic
1081#95C23×C7911yescharacteristic
1082C24C24×C7911yescharacteristic
1083C24C24×C7911yescharacteristic
1084C24C24×C7911yescharacteristic
1085C24C24×C7911yescharacteristic
1086C2×Q8—22no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
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—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4#41×C7914yes—
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
1151C22×C4C24×C7911yescharacteristic
1152C22×C4C24×C7911yescharacteristic
1153C22×C4C24×C7911yescharacteristic
1154C22×C4C24×C7911yescharacteristic
1155C22×C4C24×C7911yescharacteristic
1156C22×C4C24×C7911yescharacteristic
1157C22×C4C24×C7911yescharacteristic
1158C22×C4C24×C7911yescharacteristic
1159C22×C4C24×C7911yescharacteristic
1160C22×C4C24×C7911yescharacteristic
1161C22×C4C24×C7911yescharacteristic
1162C22×C4C24×C7911yescharacteristic
1163C22×C4C24×C7911yescharacteristic
1164C22×C4C24×C7911yescharacteristic
1165C22×C4C24×C7911yescharacteristic
1166C22×C4C24×C7911yescharacteristic
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
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—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
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—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
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—
1271C23—21no—
1272C23—21no—
1273C23C2×#41×C7912yes—
1274C23H(5,𝔽2)×C7912yes—
1275C232−1+4×C7912yes—
1276C23C25×C7911yescharacteristic
1277Q8—82no—
1278Q8—82no—
1279D4—44no—
1280D4—44no—
1281D4—44no—
1282D4—82no—
1283D4—82no—
1284D4—82no—
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—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—44no—
1366C2×C4—44no—
1367C2×C4—44no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4—82no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4C2×#41×C7912yes—
1374C2×C4C2×#41×C7912yes—
1375C2×C4H(5,𝔽2)×C7912yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
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—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22#542×C7914yes—
1404C22C22×#41×C7911yescharacteristic
1405C22C2×H(5,𝔽2)×C7911yescharacteristic
1406C22C2×H(5,𝔽2)×C7911yescharacteristic
1407C22C2×2−1+4×C7911yescharacteristic
1408C22#585×C7911yescharacteristic
1409C22#585×C7911yescharacteristic
1410C22#585×C7911yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
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—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C2—24no—
1439C2—81no—
1440C2—81no—
1441C2—81no—
1442C2C2×#542×C7911yescharacteristic
1443C2C79×#349111yescharacteristic
1444C2C79×#350611yescharacteristic
1445C2C79×#353411yescharacteristic
1446C2C79×#354111yescharacteristic
1447C2C79×#355311yescharacteristic
1448C2C79×#356011yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutator, Frattini, cosocleC23C25×C79
prime radicalC79×#2543C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#2852C2semidirect
2. C79×#2850C2semidirect
3. C79×#2796C2semidirect
4. C79×#2775C2semidirect
5. C79×#2773C2semidirect
6. C79×#2772C2semidirect
7. C79×#2770C2semidirect
8. C79×#2767C2semidirect
9. C79×#2762C2semidirect
10. C79×#2754C2semidirect
11. C79×#2751C2semidirect
12. C79×#2746C2semidirect
13. C79×#2741C2semidirect
14. C79×#2737C2semidirect
15. C79×#2730C2semidirect
16. C79×#2717C2semidirect
17. C79×#2705C2semidirect
18. C79×#2698C2semidirect
19. C79×#2643C2semidirect
20. C79×#2639C2semidirect
21. C79×#2549C2semidirect
23. C79×#2504C2semidirect
24. C79×#2487C2semidirect
25. C79×#2450C2semidirect
26. C79×#2449C2semidirect
27. C79×#2444C2semidirect
28. C79×#2443C2semidirect
29. C79×#2325C2semidirect
30. C79×#2318C2semidirect
31. C2×#387×C79C2semidirect
713. #36797C79direct (N × H)
725. #2852C2×C79semidirect
726. #2850C2×C79semidirect
727. #2796C2×C79semidirect
728. #2775C2×C79semidirect
729. #2773C2×C79semidirect
730. #2772C2×C79semidirect
731. #2770C2×C79semidirect
732. #2767C2×C79semidirect
733. #2762C2×C79semidirect
734. #2754C2×C79semidirect
735. #2751C2×C79semidirect
736. #2746C2×C79semidirect
737. #2741C2×C79semidirect
738. #2737C2×C79semidirect
739. #2730C2×C79semidirect
740. #2717C2×C79semidirect
741. #2705C2×C79semidirect
742. #2698C2×C79semidirect
743. #2643C2×C79semidirect
744. #2639C2×C79semidirect
745. #2549C2×C79semidirect
747. #2504C2×C79semidirect
748. #2487C2×C79semidirect
749. #2450C2×C79semidirect
750. #2449C2×C79semidirect
751. #2444C2×C79semidirect
752. #2443C2×C79semidirect
753. #2325C2×C79semidirect
754. #2318C2×C79semidirect
755. C2×#387C2×C79semidirect
756. C79#36797direct (N × H)

Maximal subgroups

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

subgroupindex
C79×#28522
C79×#28502
C79×#27962
C79×#27752
C79×#27732
C79×#27722
C79×#27702
C79×#27672
C79×#27622
C79×#27542
C79×#27512
C79×#27462
C79×#27412
C79×#27372
C79×#27302
C79×#27172
C79×#27052
C79×#26982
C79×#26432
C79×#26392
C79×#25492
C79×#25432
C79×#25042
C79×#24872
C79×#24502
C79×#24492
C79×#24442
C79×#24432
C79×#23252
C79×#23182
C2×#387×C792
#3679779