Finite Group Databasebeta

← C79×#36769 #34148458

Subgroups — C79×#36769 #34148458

Order 20224.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#2854C211yesmaximal, characteristic, complemented
2C79×#2851C211yesmaximal, characteristic, complemented
3C79×#2801C211yesmaximal, characteristic, complemented
4C79×#2797C211yesmaximal, characteristic, complemented
5C79×#2787C211yesmaximal, characteristic, complemented
6C79×#2782C211yesmaximal, characteristic, complemented
7C79×#2781C211yesmaximal, characteristic, complemented
8C79×#2779C211yesmaximal, characteristic, complemented
9C79×#2772C211yesmaximal, characteristic, complemented
10C79×#2772C211yesmaximal, characteristic, complemented
11C79×#2765C211yesmaximal, characteristic, complemented
12C79×#2761C211yesmaximal, characteristic, complemented
13C79×#2753C211yesmaximal, characteristic, complemented
14C79×#2746C211yesmaximal, characteristic, complemented
15C79×#2719C211yesmaximal, characteristic, complemented
16C79×#2711C211yesmaximal, characteristic, complemented
17C79×#2711C211yesmaximal, characteristic, complemented
18C79×#2688C211yesmaximal, characteristic
19C79×#2630C211yesmaximal, characteristic, complemented
20C79×#2630C211yesmaximal, characteristic, complemented
21C79×#2597C211yesmaximal, characteristic, complemented
22C79×#2596C211yesmaximal, characteristic, complemented
23C79×#2576C211yesmaximal, characteristic, complemented
24C79×#2575C211yesmaximal, characteristic, complemented
25C79×#2531C211yesmaximal, characteristic, complemented
26C79×#2528C211yesmaximal, characteristic, complemented
27C79×#2476C211yesmaximal, characteristic, complemented
28C79×#2475C211yesmaximal, characteristic, complemented
29C79×#2335C211yesmaximal, characteristic, complemented
30C79×#2335C211yesmaximal, characteristic, complemented
31C79×#2290C211yesmaximal, characteristic, complemented
32C2×#125×C79C2211yescharacteristic
33C2×#125×C79C2211yescharacteristic
34C2×#123×C79C2211yescharacteristic
35C2×#123×C79C2211yescharacteristic
36C2×#121×C79C2211yescharacteristic
37C2×#121×C79C2211yescharacteristic
38C2×C4×D4×C79C2211yescharacteristic
39C2×#117×C79C2211yescharacteristic
40C22×C42×C79C2211yescharacteristic
41#401×C79C2211yescharacteristic
42#401×C79C2211yescharacteristic
43#400×C79C2211yescharacteristic
44#400×C79C2211yescharacteristic
45#400×C79C2211yescharacteristic
46#400×C79C2211yescharacteristic
47#400×C79C2211yescharacteristic
48#400×C79C2211yescharacteristic
49#400×C79C2211yescharacteristic
50#400×C79C2211yescharacteristic
51#399×C79C2211yescharacteristic
52#399×C79C2211yescharacteristic
53#398×C79C2211yescharacteristic
54#398×C79C2211yescharacteristic
55#398×C79C2211yescharacteristic
56#398×C79C2211yescharacteristic
57#398×C79C2211yescharacteristic
58#398×C79C2211yescharacteristic
59#397×C79C2211yescharacteristic
60#397×C79C2211yescharacteristic
61#397×C79C2211yescharacteristic
62#397×C79C2211yescharacteristic
63#397×C79C2211yescharacteristic
64#397×C79C2211yescharacteristic
65#397×C79C2211yescharacteristic
66#397×C79C2211yescharacteristic
67#397×C79C2211yescharacteristic
68#397×C79C2211yescharacteristic
69#396×C79C2211yescharacteristic
70#396×C79C2211yescharacteristic
71#396×C79C2211yescharacteristic
72#396×C79C2211yescharacteristic
73#396×C79C2211yescharacteristic
74#396×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#394×C79C2211yescharacteristic
87#392×C79C2211yescharacteristic
88#392×C79C2211yescharacteristic
89#390×C79C2211yescharacteristic
90#390×C79C2211yescharacteristic
91#390×C79C2211yescharacteristic
92#390×C79C2211yescharacteristic
93#390×C79C2211yescharacteristic
94#389×C79C2211yescharacteristic
95#389×C79C2211yescharacteristic
96#389×C79C2211yescharacteristic
97#389×C79C2211yescharacteristic
98#389×C79C2211yescharacteristic
99#389×C79C2211yescharacteristic
100#389×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#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#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#387×C79C2211yescharacteristic
142#387×C79C2211yescharacteristic
143#387×C79C2211yescharacteristic
144#387×C79C2211yescharacteristic
145#387×C79C2211yescharacteristic
146#387×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#385×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#382×C79C2211yescharacteristic
170#382×C79C2211yescharacteristic
171#382×C79C2211yescharacteristic
172#382×C79C2211yescharacteristic
173#381×C79C2211yescharacteristic
174#381×C79C2211yescharacteristic
175#380×C79C2211yescharacteristic
176#380×C79C2211yescharacteristic
177#380×C79C2211yescharacteristic
178#380×C79C2211yescharacteristic
179C4×C4⋊C4×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×D4×C79C2311yescharacteristic
188C22×D4×C79C2311yescharacteristic
189C22×D4×C79C2311yescharacteristic
190C22×D4×C79C2311yescharacteristic
191C22×D4×C79C2311yescharacteristic
192C22×D4×C79C2311yescharacteristic
193C23×C4×C79C2311yescharacteristic
194C23×C4×C79C2311yescharacteristic
195C23×C4×C79C2311yescharacteristic
196C23×C4×C79C2311yescharacteristic
197C23×C4×C79C2311yescharacteristic
198C23×C4×C79C2311yescharacteristic
199#125×C79—42no—
200#125×C79—42no—
201#123×C79—24no—
202#123×C79—24no—
203#121×C79—42no—
204#121×C79—42no—
205C4×D4×C79—24no—
206#117×C79—42no—
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×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×C42×C79—42no—
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
299#95×C79C2311yescharacteristic
300#95×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
351C24×C79C2411yescharacteristic
352C24×C79C2411yescharacteristic
353C24×C79C2411yescharacteristic
354C24×C79C2411yescharacteristic
355C2×D4×C79—22no—
356C2×D4×C79—22no—
357C2×D4×C79—22no—
358C2×D4×C79—22no—
359C2×D4×C79—41no—
360C2×D4×C79—41no—
361C2×D4×C79—41no—
362C2×D4×C79—41no—
363C2×D4×C79—41no—
364C2×D4×C79—41no—
365C2×D4×C79—41no—
366C2×D4×C79—41no—
367C2×D4×C79—41no—
368C2×D4×C79—41no—
369C2×D4×C79—41no—
370C2×D4×C79—41no—
371C2×D4×C79—41no—
372C2×D4×C79—41no—
373C22×C4×C79—22no—
374C22×C4×C79—22no—
375C22×C4×C79—41no—
376C22×C4×C79—41no—
377C22×C4×C79—41no—
378C22×C4×C79—41no—
379C22×C4×C79—41no—
380C22×C4×C79—41no—
381C22×C4×C79—41no—
382C22×C4×C79—41no—
383C22×C4×C79—41no—
384C22×C4×C79—41no—
385C22×C4×C79—41no—
386C22×C4×C79—41no—
387C22×C4×C79—41no—
388C22×C4×C79—41no—
389C22×C4×C79—41no—
390C22×C4×C79#4114yes—
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
409C22×C4×C79C2411yescharacteristic
410C22×C4×C79C2411yescharacteristic
411C22×C4×C79C2411yescharacteristic
412C22×C4×C79C2411yescharacteristic
413C22×C4×C79C2411yescharacteristic
414C22×C4×C79C2411yescharacteristic
415C22×C4×C79C2411yescharacteristic
416C22×C4×C79C2411yescharacteristic
417C22×C4×C79C2411yescharacteristic
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—41no—
428C4⋊C4×C79—41no—
429C4⋊C4×C79—41no—
430C4⋊C4×C79—41no—
431C4⋊C4×C79—41no—
432C4⋊C4×C79—41no—
433C4⋊C4×C79—41no—
434C4⋊C4×C79—41no—
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—41no—
445C4⋊C4×C79—41no—
446C4⋊C4×C79—41no—
447C4⋊C4×C79—41no—
448C4⋊C4×C79—41no—
449C4⋊C4×C79—41no—
450C4⋊C4×C79—41no—
451C4⋊C4×C79—41no—
452C4⋊C4×C79—41no—
453C4⋊C4×C79—41no—
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—41no—
464C22⋊C4×C79—41no—
465C22⋊C4×C79—41no—
466C22⋊C4×C79—41no—
467C22⋊C4×C79—41no—
468C22⋊C4×C79—41no—
469C22⋊C4×C79—41no—
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—
480C22⋊C4×C79—41no—
481C22⋊C4×C79—41no—
482C22⋊C4×C79—41no—
483C22⋊C4×C79—41no—
484C22⋊C4×C79—41no—
485C22⋊C4×C79—41no—
486C22⋊C4×C79—41no—
487C22⋊C4×C79—41no—
488C22⋊C4×C79—41no—
489C22⋊C4×C79—41no—
490C22⋊C4×C79—41no—
491C22⋊C4×C79—41no—
492C22⋊C4×C79—41no—
493C22⋊C4×C79—41no—
494C22⋊C4×C79—41no—
495C22⋊C4×C79—41no—
496C42×C79—22no—
497C42×C79—22no—
498C42×C79—22no—
499C42×C79—41no—
500C42×C79—41no—
501C42×C79—41no—
502C42×C79—41no—
503C42×C79—41no—
504C42×C79—41no—
505C42×C79—41no—
506C42×C79—41no—
507C42×C79—41no—
508C42×C79—41no—
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×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×C79C2×#4112yes—
537C23×C79C2511yescharacteristic
538D4×C79—44no—
539D4×C79—82no—
540D4×C79—82no—
541D4×C79—82no—
542D4×C79—82no—
543D4×C79—82no—
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—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—44no—
623C2×C4×C79—44no—
624C2×C4×C79—44no—
625C2×C4×C79—44no—
626C2×C4×C79—82no—
627C2×C4×C79—82no—
628C2×C4×C79C2×#4112yes—
629C2×C4×C79C2×#4112yes—
630C2×C4×C79H(5,𝔽2)12yes—
631C22×C79—22no—
632C22×C79—22no—
633C22×C79—22no—
634C22×C79—41no—
635C22×C79—41no—
636C22×C79—41no—
637C22×C79—41no—
638C22×C79—41no—
639C22×C79—41no—
640C22×C79—41no—
641C22×C79—41no—
642C22×C79—41no—
643C22×C79—41no—
644C22×C79—41no—
645C22×C79—41no—
646C22×C79—41no—
647C22×C79—41no—
648C22×C79—41no—
649C22×C79—41no—
650C22×C79—41no—
651C22×C79—41no—
652C22×C79—41no—
653C22×C79—41no—
654C22×C79—41no—
655C22×C79—41no—
656C22×C79—41no—
657C22×C79—41no—
658C22×C79—41no—
659C22×C79C22×#4111yescharacteristic
660C22×C79C2×H(5,𝔽2)11yescharacteristic
661C22×C79#58511yescharacteristic
662C22×C79#58511yescharacteristic
663C22×C79#58511yescharacteristic
664C22×C79#58511yescharacteristic
665C22×C79#58511yescharacteristic
666C4×C79—22no—
667C4×C79—22no—
668C4×C79—22no—
669C4×C79—41no—
670C4×C79—41no—
671C4×C79—41no—
672C4×C79—41no—
673C4×C79—41no—
674C4×C79—41no—
675C4×C79—41no—
676C4×C79—41no—
677C4×C79—41no—
678C4×C79—41no—
679C4×C79—41no—
680C4×C79—41no—
681C4×C79—41no—
682C4×C79—41no—
683C4×C79—41no—
684C4×C79—41no—
685C4×C79—41no—
686C4×C79—41no—
687C4×C79—41no—
688C4×C79—41no—
689C4×C79—41no—
690C4×C79—41no—
691C4×C79—41no—
692C4×C79—41no—
693#36769C7911yesmaximal, characteristic, direct product factor, Sylow
694C2×C79—42no—
695C2×C79—81no—
696C2×C79—81no—
697C2×C79—81no—
698C2×C79#345511yescharacteristic
699C2×C79#350511yescharacteristic
700C2×C79#351211yescharacteristic
701C2×C79#353311yescharacteristic
702C2×C79#354011yescharacteristic
703C2×C79#356611yescharacteristic
704C2×C79#356711yescharacteristic
705#2854C2×C7911yescharacteristic, complemented
706#2851C2×C7911yescharacteristic, complemented
707#2801C2×C7911yescharacteristic, complemented
708#2797C2×C7911yescharacteristic, complemented
709#2787C2×C7911yescharacteristic, complemented
710#2782C2×C7911yescharacteristic, complemented
711#2781C2×C7911yescharacteristic, complemented
712#2779C2×C7911yescharacteristic, complemented
713#2772C2×C7911yescharacteristic, complemented
714#2772C2×C7911yescharacteristic, complemented
715#2765C2×C7911yescharacteristic, complemented
716#2761C2×C7911yescharacteristic, complemented
717#2753C2×C7911yescharacteristic, complemented
718#2746C2×C7911yescharacteristic, complemented
719#2719C2×C7911yescharacteristic, complemented
720#2711C2×C7911yescharacteristic, complemented
721#2711C2×C7911yescharacteristic, complemented
722#2688C2×C7911yescharacteristic
723#2630C2×C7911yescharacteristic, complemented
724#2630C2×C7911yescharacteristic, complemented
725#2597C2×C7911yescharacteristic, complemented
726#2596C2×C7911yescharacteristic, complemented
727#2576C2×C7911yescharacteristic, complemented
728#2575C2×C7911yescharacteristic, complemented
729#2531C2×C7911yescharacteristic, complemented
730#2528C2×C7911yescharacteristic, complemented
731#2476C2×C7911yescharacteristic, complemented
732#2475C2×C7911yescharacteristic, complemented
733#2335C2×C7911yescharacteristic, complemented
734#2335C2×C7911yescharacteristic, complemented
735#2290C2×C7911yescharacteristic, complemented
736C79#3676911yescharacteristic, direct product factor, Sylow
737C2×#125C22×C7911yescharacteristic
738C2×#125C22×C7911yescharacteristic
739C2×#123C22×C7911yescharacteristic
740C2×#123C22×C7911yescharacteristic
741C2×#121C22×C7911yescharacteristic
742C2×#121C22×C7911yescharacteristic
743C2×C4×D4C22×C7911yescharacteristic
744C2×#117C22×C7911yescharacteristic
745C22×C42C22×C7911yescharacteristic
746#401C22×C7911yescharacteristic
747#401C22×C7911yescharacteristic
748#400C22×C7911yescharacteristic
749#400C22×C7911yescharacteristic
750#400C22×C7911yescharacteristic
751#400C22×C7911yescharacteristic
752#400C22×C7911yescharacteristic
753#400C22×C7911yescharacteristic
754#400C22×C7911yescharacteristic
755#400C22×C7911yescharacteristic
756#399C22×C7911yescharacteristic
757#399C22×C7911yescharacteristic
758#398C22×C7911yescharacteristic
759#398C22×C7911yescharacteristic
760#398C22×C7911yescharacteristic
761#398C22×C7911yescharacteristic
762#398C22×C7911yescharacteristic
763#398C22×C7911yescharacteristic
764#397C22×C7911yescharacteristic
765#397C22×C7911yescharacteristic
766#397C22×C7911yescharacteristic
767#397C22×C7911yescharacteristic
768#397C22×C7911yescharacteristic
769#397C22×C7911yescharacteristic
770#397C22×C7911yescharacteristic
771#397C22×C7911yescharacteristic
772#397C22×C7911yescharacteristic
773#397C22×C7911yescharacteristic
774#396C22×C7911yescharacteristic
775#396C22×C7911yescharacteristic
776#396C22×C7911yescharacteristic
777#396C22×C7911yescharacteristic
778#396C22×C7911yescharacteristic
779#396C22×C7911yescharacteristic
780#394C22×C7911yescharacteristic
781#394C22×C7911yescharacteristic
782#394C22×C7911yescharacteristic
783#394C22×C7911yescharacteristic
784#394C22×C7911yescharacteristic
785#394C22×C7911yescharacteristic
786#394C22×C7911yescharacteristic
787#394C22×C7911yescharacteristic
788#394C22×C7911yescharacteristic
789#394C22×C7911yescharacteristic
790#394C22×C7911yescharacteristic
791#394C22×C7911yescharacteristic
792#392C22×C7911yescharacteristic
793#392C22×C7911yescharacteristic
794#390C22×C7911yescharacteristic
795#390C22×C7911yescharacteristic
796#390C22×C7911yescharacteristic
797#390C22×C7911yescharacteristic
798#390C22×C7911yescharacteristic
799#389C22×C7911yescharacteristic
800#389C22×C7911yescharacteristic
801#389C22×C7911yescharacteristic
802#389C22×C7911yescharacteristic
803#389C22×C7911yescharacteristic
804#389C22×C7911yescharacteristic
805#389C22×C7911yescharacteristic
806#388C22×C7911yescharacteristic
807#388C22×C7911yescharacteristic
808#388C22×C7911yescharacteristic
809#388C22×C7911yescharacteristic
810#388C22×C7911yescharacteristic
811#388C22×C7911yescharacteristic
812#388C22×C7911yescharacteristic
813#388C22×C7911yescharacteristic
814#388C22×C7911yescharacteristic
815#388C22×C7911yescharacteristic
816#388C22×C7911yescharacteristic
817#388C22×C7911yescharacteristic
818#388C22×C7911yescharacteristic
819#388C22×C7911yescharacteristic
820#388C22×C7911yescharacteristic
821#388C22×C7911yescharacteristic
822#388C22×C7911yescharacteristic
823#388C22×C7911yescharacteristic
824#388C22×C7911yescharacteristic
825#388C22×C7911yescharacteristic
826#388C22×C7911yescharacteristic
827#388C22×C7911yescharacteristic
828#388C22×C7911yescharacteristic
829#388C22×C7911yescharacteristic
830#388C22×C7911yescharacteristic
831#388C22×C7911yescharacteristic
832#387C22×C7911yescharacteristic
833#387C22×C7911yescharacteristic
834#387C22×C7911yescharacteristic
835#387C22×C7911yescharacteristic
836#387C22×C7911yescharacteristic
837#387C22×C7911yescharacteristic
838#387C22×C7911yescharacteristic
839#387C22×C7911yescharacteristic
840#387C22×C7911yescharacteristic
841#387C22×C7911yescharacteristic
842#387C22×C7911yescharacteristic
843#387C22×C7911yescharacteristic
844#387C22×C7911yescharacteristic
845#387C22×C7911yescharacteristic
846#387C22×C7911yescharacteristic
847#387C22×C7911yescharacteristic
848#387C22×C7911yescharacteristic
849#387C22×C7911yescharacteristic
850#387C22×C7911yescharacteristic
851#387C22×C7911yescharacteristic
852#386C22×C7911yescharacteristic
853#386C22×C7911yescharacteristic
854#386C22×C7911yescharacteristic
855#386C22×C7911yescharacteristic
856#386C22×C7911yescharacteristic
857#386C22×C7911yescharacteristic
858#386C22×C7911yescharacteristic
859#386C22×C7911yescharacteristic
860#386C22×C7911yescharacteristic
861#386C22×C7911yescharacteristic
862#385C22×C7911yescharacteristic
863#385C22×C7911yescharacteristic
864#385C22×C7911yescharacteristic
865#385C22×C7911yescharacteristic
866#385C22×C7911yescharacteristic
867#385C22×C7911yescharacteristic
868#385C22×C7911yescharacteristic
869#385C22×C7911yescharacteristic
870#385C22×C7911yescharacteristic
871#385C22×C7911yescharacteristic
872#385C22×C7911yescharacteristic
873#385C22×C7911yescharacteristic
874#382C22×C7911yescharacteristic
875#382C22×C7911yescharacteristic
876#382C22×C7911yescharacteristic
877#382C22×C7911yescharacteristic
878#381C22×C7911yescharacteristic
879#381C22×C7911yescharacteristic
880#380C22×C7911yescharacteristic
881#380C22×C7911yescharacteristic
882#380C22×C7911yescharacteristic
883#380C22×C7911yescharacteristic
884C4×C4⋊C4C22×C7911yescharacteristic
885C4×C4⋊C4C22×C7911yescharacteristic
886C4×C4⋊C4C22×C7911yescharacteristic
887C4×C22⋊C4C22×C7911yescharacteristic
888C4×C22⋊C4C22×C7911yescharacteristic
889C4×C22⋊C4C22×C7911yescharacteristic
890C4×C22⋊C4C22×C7911yescharacteristic
891#376C22×C7911yescharacteristic
892C22×D4C23×C7911yescharacteristic
893C22×D4C23×C7911yescharacteristic
894C22×D4C23×C7911yescharacteristic
895C22×D4C23×C7911yescharacteristic
896C22×D4C23×C7911yescharacteristic
897C22×D4C23×C7911yescharacteristic
898C23×C4C23×C7911yescharacteristic
899C23×C4C23×C7911yescharacteristic
900C23×C4C23×C7911yescharacteristic
901C23×C4C23×C7911yescharacteristic
902C23×C4C23×C7911yescharacteristic
903C23×C4C23×C7911yescharacteristic
904#125—42no—
905#125—42no—
906#123—24no—
907#123—24no—
908#121—42no—
909#121—42no—
910C4×D4—24no—
911#117—42no—
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×C4⋊C4C23×C7911yescharacteristic
931C2×C4⋊C4C23×C7911yescharacteristic
932C2×C4⋊C4C23×C7911yescharacteristic
933C2×C4⋊C4C23×C7911yescharacteristic
934C2×C4⋊C4C23×C7911yescharacteristic
935C2×C4⋊C4C23×C7911yescharacteristic
936C2×C4⋊C4C23×C7911yescharacteristic
937C2×C4⋊C4C23×C7911yescharacteristic
938C2×C4⋊C4C23×C7911yescharacteristic
939C2×C4⋊C4C23×C7911yescharacteristic
940C2×C4⋊C4C23×C7911yescharacteristic
941C2×C4⋊C4C23×C7911yescharacteristic
942C2×C4⋊C4C23×C7911yescharacteristic
943C2×C4⋊C4C23×C7911yescharacteristic
944C2×C4⋊C4C23×C7911yescharacteristic
945C2×C4⋊C4C23×C7911yescharacteristic
946C2×C4⋊C4C23×C7911yescharacteristic
947C2×C4⋊C4C23×C7911yescharacteristic
948C2×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×C22⋊C4C23×C7911yescharacteristic
965C2×C22⋊C4C23×C7911yescharacteristic
966C2×C22⋊C4C23×C7911yescharacteristic
967C2×C22⋊C4C23×C7911yescharacteristic
968C2×C22⋊C4C23×C7911yescharacteristic
969C2×C22⋊C4C23×C7911yescharacteristic
970C2×C22⋊C4C23×C7911yescharacteristic
971C2×C22⋊C4C23×C7911yescharacteristic
972C2×C22⋊C4C23×C7911yescharacteristic
973C2×C22⋊C4C23×C7911yescharacteristic
974C2×C22⋊C4C23×C7911yescharacteristic
975C2×C22⋊C4C23×C7911yescharacteristic
976C2×C22⋊C4C23×C7911yescharacteristic
977C2×C22⋊C4C23×C7911yescharacteristic
978C2×C22⋊C4C23×C7911yescharacteristic
979C2×C22⋊C4C23×C7911yescharacteristic
980C2×C22⋊C4C23×C7911yescharacteristic
981C2×C22⋊C4C23×C7911yescharacteristic
982C2×C22⋊C4C23×C7911yescharacteristic
983C2×C22⋊C4C23×C7911yescharacteristic
984C2×C22⋊C4C23×C7911yescharacteristic
985C2×C22⋊C4C23×C7911yescharacteristic
986C2×C22⋊C4C23×C7911yescharacteristic
987C2×C22⋊C4C23×C7911yescharacteristic
988C2×C22⋊C4C23×C7911yescharacteristic
989C2×C22⋊C4C23×C7911yescharacteristic
990C2×C42—42no—
991C2×C42C23×C7911yescharacteristic
992C2×C42C23×C7911yescharacteristic
993C2×C42C23×C7911yescharacteristic
994C2×C42C23×C7911yescharacteristic
995C2×C42C23×C7911yescharacteristic
996C2×C42C23×C7911yescharacteristic
997C2×C42C23×C7911yescharacteristic
998C2×C42C23×C7911yescharacteristic
999C2×C42C23×C7911yescharacteristic
1000C2×C42C23×C7911yescharacteristic
1001C2×C42C23×C7911yescharacteristic
1002C2×C42C23×C7911yescharacteristic
1003C2×C42C23×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
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
1056C24C24×C7911yescharacteristic
1057C24C24×C7911yescharacteristic
1058C24C24×C7911yescharacteristic
1059C24C24×C7911yescharacteristic
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—41no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4#41×C7914yes—
1096C22×C4C24×C7911yescharacteristic
1097C22×C4C24×C7911yescharacteristic
1098C22×C4C24×C7911yescharacteristic
1099C22×C4C24×C7911yescharacteristic
1100C22×C4C24×C7911yescharacteristic
1101C22×C4C24×C7911yescharacteristic
1102C22×C4C24×C7911yescharacteristic
1103C22×C4C24×C7911yescharacteristic
1104C22×C4C24×C7911yescharacteristic
1105C22×C4C24×C7911yescharacteristic
1106C22×C4C24×C7911yescharacteristic
1107C22×C4C24×C7911yescharacteristic
1108C22×C4C24×C7911yescharacteristic
1109C22×C4C24×C7911yescharacteristic
1110C22×C4C24×C7911yescharacteristic
1111C22×C4C24×C7911yescharacteristic
1112C22×C4C24×C7911yescharacteristic
1113C22×C4C24×C7911yescharacteristic
1114C22×C4C24×C7911yescharacteristic
1115C22×C4C24×C7911yescharacteristic
1116C22×C4C24×C7911yescharacteristic
1117C22×C4C24×C7911yescharacteristic
1118C22×C4C24×C7911yescharacteristic
1119C22×C4C24×C7911yescharacteristic
1120C22×C4C24×C7911yescharacteristic
1121C22×C4C24×C7911yescharacteristic
1122C22×C4C24×C7911yescharacteristic
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23C2×#41×C7912yes—
1242C23C25×C7911yescharacteristic
1243D4—44no—
1244D4—82no—
1245D4—82no—
1246D4—82no—
1247D4—82no—
1248D4—82no—
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—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—44no—
1328C2×C4—44no—
1329C2×C4—44no—
1330C2×C4—44no—
1331C2×C4—82no—
1332C2×C4—82no—
1333C2×C4C2×#41×C7912yes—
1334C2×C4C2×#41×C7912yes—
1335C2×C4H(5,𝔽2)×C7912yes—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22C22×#41×C7911yescharacteristic
1365C22C2×H(5,𝔽2)×C7911yescharacteristic
1366C22#585×C7911yescharacteristic
1367C22#585×C7911yescharacteristic
1368C22#585×C7911yescharacteristic
1369C22#585×C7911yescharacteristic
1370C22#585×C7911yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C2—42no—
1399C2—81no—
1400C2—81no—
1401C2—81no—
1402C2C79×#345511yescharacteristic
1403C2C79×#350511yescharacteristic
1404C2C79×#351211yescharacteristic
1405C2C79×#353311yescharacteristic
1406C2C79×#354011yescharacteristic
1407C2C79×#356611yescharacteristic
1408C2C79×#356711yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutator, Frattini, cosocleC23C25×C79
prime radicalC79×#2688C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#2854C2semidirect
2. C79×#2851C2semidirect
3. C79×#2801C2semidirect
4. C79×#2797C2semidirect
5. C79×#2787C2semidirect
6. C79×#2782C2semidirect
7. C79×#2781C2semidirect
8. C79×#2779C2semidirect
9. C79×#2772C2semidirect
10. C79×#2772C2semidirect
11. C79×#2765C2semidirect
12. C79×#2761C2semidirect
13. C79×#2753C2semidirect
14. C79×#2746C2semidirect
15. C79×#2719C2semidirect
16. C79×#2711C2semidirect
17. C79×#2711C2semidirect
19. C79×#2630C2semidirect
20. C79×#2630C2semidirect
21. C79×#2597C2semidirect
22. C79×#2596C2semidirect
23. C79×#2576C2semidirect
24. C79×#2575C2semidirect
25. C79×#2531C2semidirect
26. C79×#2528C2semidirect
27. C79×#2476C2semidirect
28. C79×#2475C2semidirect
29. C79×#2335C2semidirect
30. C79×#2335C2semidirect
31. C79×#2290C2semidirect
693. #36769C79direct (N × H)
705. #2854C2×C79semidirect
706. #2851C2×C79semidirect
707. #2801C2×C79semidirect
708. #2797C2×C79semidirect
709. #2787C2×C79semidirect
710. #2782C2×C79semidirect
711. #2781C2×C79semidirect
712. #2779C2×C79semidirect
713. #2772C2×C79semidirect
714. #2772C2×C79semidirect
715. #2765C2×C79semidirect
716. #2761C2×C79semidirect
717. #2753C2×C79semidirect
718. #2746C2×C79semidirect
719. #2719C2×C79semidirect
720. #2711C2×C79semidirect
721. #2711C2×C79semidirect
723. #2630C2×C79semidirect
724. #2630C2×C79semidirect
725. #2597C2×C79semidirect
726. #2596C2×C79semidirect
727. #2576C2×C79semidirect
728. #2575C2×C79semidirect
729. #2531C2×C79semidirect
730. #2528C2×C79semidirect
731. #2476C2×C79semidirect
732. #2475C2×C79semidirect
733. #2335C2×C79semidirect
734. #2335C2×C79semidirect
735. #2290C2×C79semidirect
736. C79#36769direct (N × H)

Maximal subgroups

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

subgroupindex
C79×#28542
C79×#28512
C79×#28012
C79×#27972
C79×#27872
C79×#27822
C79×#27812
C79×#27792
C79×#27722
C79×#27652
C79×#27612
C79×#27532
C79×#27462
C79×#27192
C79×#27112
C79×#26882
C79×#26302
C79×#25972
C79×#25962
C79×#25762
C79×#25752
C79×#25312
C79×#25282
C79×#24762
C79×#24752
C79×#23352
C79×#22902
#3676979