Finite Group Databasebeta

← C79×#36777 #34148466

Subgroups — C79×#36777 #34148466

Order 20224.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#2849C211yesmaximal, characteristic, complemented
2C79×#2847C211yesmaximal, characteristic, complemented
3C79×#2780C211yesmaximal, characteristic, complemented
4C79×#2780C211yesmaximal, characteristic, complemented
5C79×#2768C211yesmaximal, characteristic, complemented
6C79×#2761C211yesmaximal, characteristic, complemented
7C79×#2753C211yesmaximal, characteristic, complemented
8C79×#2749C211yesmaximal, characteristic, complemented
9C79×#2748C211yesmaximal, characteristic, complemented
10C79×#2743C211yesmaximal, characteristic, complemented
11C79×#2738C211yesmaximal, characteristic, complemented
12C79×#2711C211yesmaximal, characteristic, complemented
13C79×#2707C211yesmaximal, characteristic, complemented
14C79×#2706C211yesmaximal, characteristic, complemented
15C79×#2701C211yesmaximal, characteristic, complemented
16C79×#2701C211yesmaximal, characteristic, complemented
17C79×#2688C211yesmaximal, characteristic, complemented
18C79×#2671C211yesmaximal, characteristic, complemented
19C79×#2623C211yesmaximal, characteristic, complemented
20C79×#2618C211yesmaximal, characteristic, complemented
21C79×#2539C211yesmaximal, characteristic, complemented
22C79×#2534C211yesmaximal, characteristic, complemented
23C79×#2442C211yesmaximal, characteristic, complemented
24C79×#2425C211yesmaximal, characteristic, complemented
25C79×#2424C211yesmaximal, characteristic, complemented
26C79×#2419C211yesmaximal, characteristic, complemented
27C79×#2418C211yesmaximal, characteristic, complemented
28C79×#2416C211yesmaximal, characteristic, complemented
29C79×#2325C211yesmaximal, characteristic, complemented
30C79×#2318C211yesmaximal, characteristic, complemented
31C2×#385×C79C211yesmaximal, characteristic, complemented
32C24×C4×C79C2211yescharacteristic
33C2×#125×C79C2211yescharacteristic, complemented
34C2×#123×C79C2211yescharacteristic
35C2×#123×C79C2211yescharacteristic
36C2×#123×C79C2211yescharacteristic
37C2×#123×C79C2211yescharacteristic
38C2×#123×C79C2211yescharacteristic
39C2×#123×C79C2211yescharacteristic
40C2×#121×C79C2211yescharacteristic
41C2×#121×C79C2211yescharacteristic
42C2×#121×C79C2211yescharacteristic
43C2×#121×C79C2211yescharacteristic
44C2×#121×C79C2211yescharacteristic
45C2×#121×C79C2211yescharacteristic
46C2×#121×C79C2211yescharacteristic, complemented
47C2×#120×C79C2211yescharacteristic
48C2×#120×C79C2211yescharacteristic
49C2×#120×C79C2211yescharacteristic
50C2×C4×D4×C79C2211yescharacteristic
51C2×C4×D4×C79C2211yescharacteristic
52C2×C4×D4×C79C2211yescharacteristic
53C22×C4⋊C4×C79C2211yescharacteristic
54C22×C4⋊C4×C79C2211yescharacteristic
55C22×C22⋊C4×C79C2211yescharacteristic
56C22×C22⋊C4×C79C2211yescharacteristic
57#400×C79C2211yescharacteristic, complemented
58#400×C79C2211yescharacteristic, complemented
59#400×C79C2211yescharacteristic, complemented
60#400×C79C2211yescharacteristic, complemented
61#400×C79C2211yescharacteristic, complemented
62#399×C79C2211yescharacteristic
63#399×C79C2211yescharacteristic
64#399×C79C2211yescharacteristic
65#399×C79C2211yescharacteristic, complemented
66#399×C79C2211yescharacteristic, complemented
67#398×C79C2211yescharacteristic, complemented
68#398×C79C2211yescharacteristic, complemented
69#398×C79C2211yescharacteristic, complemented
70#398×C79C2211yescharacteristic, complemented
71#398×C79C2211yescharacteristic, complemented
72#398×C79C2211yescharacteristic, complemented
73#398×C79C2211yescharacteristic, complemented
74#398×C79C2211yescharacteristic, complemented
75#397×C79C2211yescharacteristic
76#397×C79C2211yescharacteristic, complemented
77#397×C79C2211yescharacteristic, complemented
78#397×C79C2211yescharacteristic, complemented
79#397×C79C2211yescharacteristic, complemented
80#397×C79C2211yescharacteristic, complemented
81#396×C79C2211yescharacteristic
82#396×C79C2211yescharacteristic
83#396×C79C2211yescharacteristic
84#396×C79C2211yescharacteristic, complemented
85#396×C79C2211yescharacteristic, complemented
86#396×C79C2211yescharacteristic, complemented
87#396×C79C2211yescharacteristic, complemented
88#396×C79C2211yescharacteristic, complemented
89#396×C79C2211yescharacteristic, complemented
90#396×C79C2211yescharacteristic, complemented
91#394×C79C2211yescharacteristic
92#394×C79C2211yescharacteristic
93#394×C79C2211yescharacteristic
94#394×C79C2211yescharacteristic
95#394×C79C2211yescharacteristic
96#394×C79C2211yescharacteristic
97#394×C79C2211yescharacteristic, complemented
98#394×C79C2211yescharacteristic, complemented
99#394×C79C2211yescharacteristic, complemented
100#394×C79C2211yescharacteristic, complemented
101#394×C79C2211yescharacteristic, complemented
102#392×C79C2211yescharacteristic
103#392×C79C2211yescharacteristic
104#392×C79C2211yescharacteristic
105#390×C79C2211yescharacteristic
106#390×C79C2211yescharacteristic
107#390×C79C2211yescharacteristic
108#390×C79C2211yescharacteristic
109#390×C79C2211yescharacteristic
110#390×C79C2211yescharacteristic, complemented
111#389×C79C2211yescharacteristic, complemented
112#389×C79C2211yescharacteristic, complemented
113#389×C79C2211yescharacteristic, complemented
114#389×C79C2211yescharacteristic, complemented
115#388×C79C2211yescharacteristic
116#388×C79C2211yescharacteristic
117#388×C79C2211yescharacteristic
118#388×C79C2211yescharacteristic
119#388×C79C2211yescharacteristic
120#388×C79C2211yescharacteristic, complemented
121#388×C79C2211yescharacteristic, complemented
122#388×C79C2211yescharacteristic, complemented
123#388×C79C2211yescharacteristic, complemented
124#388×C79C2211yescharacteristic, complemented
125#387×C79C2211yescharacteristic, complemented
126#387×C79C2211yescharacteristic, complemented
127#387×C79C2211yescharacteristic, complemented
128#387×C79C2211yescharacteristic, complemented
129#387×C79C2211yescharacteristic, complemented
130#387×C79C2211yescharacteristic, complemented
131#386×C79C2211yescharacteristic
132#386×C79C2211yescharacteristic
133#386×C79C2211yescharacteristic
134#386×C79C2211yescharacteristic
135#386×C79C2211yescharacteristic
136#386×C79C2211yescharacteristic
137#386×C79C2211yescharacteristic
138#386×C79C2211yescharacteristic
139#386×C79C2211yescharacteristic
140#386×C79C2211yescharacteristic
141#386×C79C2211yescharacteristic
142#386×C79C2211yescharacteristic
143#386×C79C2211yescharacteristic
144#386×C79C2211yescharacteristic
145#386×C79C2211yescharacteristic
146#386×C79C2211yescharacteristic
147#386×C79C2211yescharacteristic, complemented
148#386×C79C2211yescharacteristic, complemented
149#386×C79C2211yescharacteristic, complemented
150#385×C79C2211yescharacteristic
151#385×C79C2211yescharacteristic
152#385×C79C2211yescharacteristic
153#385×C79C2211yescharacteristic
154#385×C79C2211yescharacteristic
155#385×C79C2211yescharacteristic
156#385×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, complemented
165#385×C79C2211yescharacteristic, complemented
166#385×C79C2211yescharacteristic, complemented
167#383×C79C2211yescharacteristic, complemented
168#382×C79C2211yescharacteristic, complemented
169#382×C79C2211yescharacteristic, complemented
170#381×C79C2211yescharacteristic
171#381×C79C2211yescharacteristic
172#381×C79C2211yescharacteristic
173#381×C79C2211yescharacteristic, complemented
174#381×C79C2211yescharacteristic, complemented
175#380×C79C2211yescharacteristic
176#380×C79C2211yescharacteristic
177#380×C79C2211yescharacteristic
178#380×C79C2211yescharacteristic
179#380×C79C2211yescharacteristic
180#380×C79C2211yescharacteristic, complemented
181#380×C79C2211yescharacteristic, complemented
182#380×C79C2211yescharacteristic, complemented
183#379×C79C2211yescharacteristic
184C4×C22⋊C4×C79C2211yescharacteristic
185C2×#95×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C25×C79C2311yescharacteristic
188C22×D4×C79C2311yescharacteristic
189C22×D4×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×C79—42no—
201C23×C4×C79—42no—
202C23×C4×C79—42no—
203C23×C4×C79C2311yescharacteristic
204C23×C4×C79C2311yescharacteristic
205C23×C4×C79C2311yescharacteristic
206C23×C4×C79C2311yescharacteristic
207C23×C4×C79C2311yescharacteristic
208C23×C4×C79C2311yescharacteristic
209C23×C4×C79C2311yescharacteristic
210C23×C4×C79C2311yescharacteristic
211C23×C4×C79C2311yescharacteristic
212C23×C4×C79C2311yescharacteristic
213C23×C4×C79C2311yescharacteristic
214C23×C4×C79C2311yescharacteristic
215C23×C4×C79C2311yescharacteristic
216#125×C79—42no—
217#123×C79—42no—
218#123×C79—42no—
219#123×C79—42no—
220#123×C79—42no—
221#123×C79—42no—
222#123×C79—42no—
223#121×C79—24no—
224#121×C79—42no—
225#121×C79—42no—
226#121×C79—42no—
227#121×C79—42no—
228#121×C79—42no—
229#121×C79—42no—
230#120×C79—42no—
231#120×C79—42no—
232#120×C79—42no—
233C4×D4×C79—24no—
234C4×D4×C79—42no—
235C4×D4×C79—42no—
236C2×C4⋊C4×C79—42no—
237C2×C4⋊C4×C79—42no—
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×C4⋊C4×C79C2311yescharacteristic
254C2×C4⋊C4×C79C2311yescharacteristic
255C2×C4⋊C4×C79C2311yescharacteristic
256C2×C4⋊C4×C79C2311yescharacteristic
257C2×C4⋊C4×C79C2311yescharacteristic
258C2×C4⋊C4×C79C2311yescharacteristic
259C2×C4⋊C4×C79C2311yescharacteristic
260C2×C4⋊C4×C79C2311yescharacteristic
261C2×C4⋊C4×C79C2311yescharacteristic
262C2×C4⋊C4×C79C2311yescharacteristic
263C2×C4⋊C4×C79C2311yescharacteristic
264C2×C4⋊C4×C79C2311yescharacteristic
265C2×C4⋊C4×C79C2311yescharacteristic
266C2×C4⋊C4×C79C2311yescharacteristic
267C2×C4⋊C4×C79C2311yescharacteristic
268C2×C4⋊C4×C79C2311yescharacteristic
269C2×C4⋊C4×C79C2311yescharacteristic
270C2×C4⋊C4×C79C2311yescharacteristic
271C2×C4⋊C4×C79C2311yescharacteristic
272C2×C22⋊C4×C79—24no—
273C2×C22⋊C4×C79—42no—
274C2×C22⋊C4×C79C2311yescharacteristic
275C2×C22⋊C4×C79C2311yescharacteristic
276C2×C22⋊C4×C79C2311yescharacteristic
277C2×C22⋊C4×C79C2311yescharacteristic
278C2×C22⋊C4×C79C2311yescharacteristic
279C2×C22⋊C4×C79C2311yescharacteristic
280C2×C22⋊C4×C79C2311yescharacteristic
281C2×C22⋊C4×C79C2311yescharacteristic
282C2×C22⋊C4×C79C2311yescharacteristic
283C2×C22⋊C4×C79C2311yescharacteristic
284C2×C22⋊C4×C79C2311yescharacteristic
285C2×C22⋊C4×C79C2311yescharacteristic
286C2×C22⋊C4×C79C2311yescharacteristic
287C2×C22⋊C4×C79C2311yescharacteristic
288C2×C22⋊C4×C79C2311yescharacteristic
289C2×C22⋊C4×C79C2311yescharacteristic
290C2×C22⋊C4×C79C2311yescharacteristic
291C2×C22⋊C4×C79C2311yescharacteristic
292C2×C22⋊C4×C79C2311yescharacteristic
293C2×C22⋊C4×C79C2311yescharacteristic
294C2×C22⋊C4×C79C2311yescharacteristic
295C2×C22⋊C4×C79C2311yescharacteristic
296C2×C22⋊C4×C79C2311yescharacteristic
297C2×C22⋊C4×C79C2311yescharacteristic
298C2×C22⋊C4×C79C2311yescharacteristic
299C2×C22⋊C4×C79C2311yescharacteristic
300C2×C22⋊C4×C79C2311yescharacteristic
301C2×C22⋊C4×C79C2311yescharacteristic
302C2×C22⋊C4×C79C2311yescharacteristic
303C2×C22⋊C4×C79C2311yescharacteristic
304C2×C22⋊C4×C79C2311yescharacteristic
305C2×C22⋊C4×C79C2311yescharacteristic
306C2×C22⋊C4×C79C2311yescharacteristic
307C2×C22⋊C4×C79C2311yescharacteristic
308C2×C22⋊C4×C79C2311yescharacteristic
309C2×C22⋊C4×C79C2311yescharacteristic
310C2×C22⋊C4×C79C2311yescharacteristic
311C2×C22⋊C4×C79C2311yescharacteristic
312C2×C22⋊C4×C79C2311yescharacteristic
313C2×C22⋊C4×C79C2311yescharacteristic
314C2×C22⋊C4×C79C2311yescharacteristic
315C2×C22⋊C4×C79C2311yescharacteristic
316C2×C22⋊C4×C79C2311yescharacteristic
317C2×C22⋊C4×C79C2311yescharacteristic
318C2×C22⋊C4×C79C2311yescharacteristic
319C2×C22⋊C4×C79C2311yescharacteristic
320C2×C22⋊C4×C79C2311yescharacteristic
321C2×C22⋊C4×C79C2311yescharacteristic
322C2×C22⋊C4×C79C2311yescharacteristic
323C2×C22⋊C4×C79C2311yescharacteristic
324C2×C42×C79C2311yescharacteristic
325C2×C42×C79C2311yescharacteristic
326C2×C42×C79C2311yescharacteristic
327C2×C42×C79C2311yescharacteristic
328C2×C42×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
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C24×C79—22no—
370C24×C79—22no—
371C24×C79—22no—
372C24×C79—22no—
373C24×C79—22no—
374C24×C79—41no—
375C24×C79—41no—
376C24×C79C2411yescharacteristic
377C24×C79C2411yescharacteristic
378C24×C79C2411yescharacteristic
379C24×C79C2411yescharacteristic
380C24×C79C2411yescharacteristic
381C24×C79C2411yescharacteristic
382C2×D4×C79—22no—
383C2×D4×C79—22no—
384C2×D4×C79—22no—
385C2×D4×C79—22no—
386C2×D4×C79—22no—
387C2×D4×C79—22no—
388C2×D4×C79—22no—
389C2×D4×C79—22no—
390C2×D4×C79—22no—
391C2×D4×C79—22no—
392C2×D4×C79—22no—
393C2×D4×C79—22no—
394C2×D4×C79—22no—
395C2×D4×C79—22no—
396C2×D4×C79—22no—
397C2×D4×C79—22no—
398C2×D4×C79—22no—
399C2×D4×C79—41no—
400C2×D4×C79—41no—
401C2×D4×C79—41no—
402C2×D4×C79—41no—
403C2×D4×C79—41no—
404C2×D4×C79—41no—
405C2×D4×C79—41no—
406C2×D4×C79—41no—
407C2×D4×C79—41no—
408C2×D4×C79—41no—
409C2×D4×C79—41no—
410C2×D4×C79—41no—
411C2×D4×C79—41no—
412C2×D4×C79—41no—
413C2×D4×C79—41no—
414C2×D4×C79—41no—
415C2×D4×C79—41no—
416C2×D4×C79—41no—
417C2×D4×C79—41no—
418C22×C4×C79—22no—
419C22×C4×C79—22no—
420C22×C4×C79—22no—
421C22×C4×C79—22no—
422C22×C4×C79—22no—
423C22×C4×C79—22no—
424C22×C4×C79—22no—
425C22×C4×C79—22no—
426C22×C4×C79—22no—
427C22×C4×C79—22no—
428C22×C4×C79—22no—
429C22×C4×C79—22no—
430C22×C4×C79—22no—
431C22×C4×C79—41no—
432C22×C4×C79—41no—
433C22×C4×C79—41no—
434C22×C4×C79—41no—
435C22×C4×C79—41no—
436C22×C4×C79—41no—
437C22×C4×C79—41no—
438C22×C4×C79—41no—
439C22×C4×C79—41no—
440C22×C4×C79—41no—
441C22×C4×C79—41no—
442C22×C4×C79—41no—
443C22×C4×C79—41no—
444C22×C4×C79—41no—
445C22×C4×C79—41no—
446C22×C4×C79—41no—
447C22×C4×C79—41no—
448C22×C4×C79—41no—
449C22×C4×C79—41no—
450C22×C4×C79—41no—
451C22×C4×C79—41no—
452C22×C4×C79—41no—
453C22×C4×C79—41no—
454C22×C4×C79—41no—
455C22×C4×C79—41no—
456C22×C4×C79—416no—
457C22×C4×C79#4114yes—
458C22×C4×C79C2411yescharacteristic
459C22×C4×C79C2411yescharacteristic
460C22×C4×C79C2411yescharacteristic
461C22×C4×C79C2411yescharacteristic
462C22×C4×C79C2411yescharacteristic
463C22×C4×C79C2411yescharacteristic
464C22×C4×C79C2411yescharacteristic
465C22×C4×C79C2411yescharacteristic
466C22×C4×C79C2411yescharacteristic
467C22×C4×C79C2411yescharacteristic
468C22×C4×C79C2411yescharacteristic
469C22×C4×C79C2411yescharacteristic
470C22×C4×C79C2411yescharacteristic
471C22×C4×C79C2411yescharacteristic
472C22×C4×C79C2411yescharacteristic
473C22×C4×C79C2411yescharacteristic
474C22×C4×C79C2411yescharacteristic
475C22×C4×C79C2411yescharacteristic
476C22×C4×C79C2411yescharacteristic
477C22×C4×C79C2411yescharacteristic
478C22×C4×C79C2411yescharacteristic
479C22×C4×C79C2411yescharacteristic
480C22×C4×C79C2411yescharacteristic
481C22×C4×C79C2411yescharacteristic
482C22×C4×C79C2411yescharacteristic
483C4⋊C4×C79—22no—
484C4⋊C4×C79—22no—
485C4⋊C4×C79—22no—
486C4⋊C4×C79—22no—
487C4⋊C4×C79—22no—
488C4⋊C4×C79—22no—
489C4⋊C4×C79—41no—
490C4⋊C4×C79—41no—
491C4⋊C4×C79—41no—
492C4⋊C4×C79—41no—
493C4⋊C4×C79—41no—
494C4⋊C4×C79—41no—
495C4⋊C4×C79—41no—
496C4⋊C4×C79—41no—
497C4⋊C4×C79—41no—
498C4⋊C4×C79—41no—
499C4⋊C4×C79—41no—
500C4⋊C4×C79—41no—
501C4⋊C4×C79—41no—
502C4⋊C4×C79—41no—
503C4⋊C4×C79—41no—
504C4⋊C4×C79—41no—
505C4⋊C4×C79—41no—
506C4⋊C4×C79—41no—
507C4⋊C4×C79—41no—
508C4⋊C4×C79—41no—
509C4⋊C4×C79—41no—
510C4⋊C4×C79—41no—
511C4⋊C4×C79—41no—
512C4⋊C4×C79—41no—
513C4⋊C4×C79—41no—
514C4⋊C4×C79—41no—
515C4⋊C4×C79—41no—
516C4⋊C4×C79—41no—
517C22⋊C4×C79—22no—
518C22⋊C4×C79—22no—
519C22⋊C4×C79—22no—
520C22⋊C4×C79—22no—
521C22⋊C4×C79—22no—
522C22⋊C4×C79—22no—
523C22⋊C4×C79—22no—
524C22⋊C4×C79—22no—
525C22⋊C4×C79—22no—
526C22⋊C4×C79—22no—
527C22⋊C4×C79—22no—
528C22⋊C4×C79—22no—
529C22⋊C4×C79—22no—
530C22⋊C4×C79—22no—
531C22⋊C4×C79—22no—
532C22⋊C4×C79—22no—
533C22⋊C4×C79—22no—
534C22⋊C4×C79—41no—
535C22⋊C4×C79—41no—
536C22⋊C4×C79—41no—
537C22⋊C4×C79—41no—
538C22⋊C4×C79—41no—
539C22⋊C4×C79—41no—
540C22⋊C4×C79—41no—
541C22⋊C4×C79—41no—
542C22⋊C4×C79—41no—
543C22⋊C4×C79—41no—
544C22⋊C4×C79—41no—
545C22⋊C4×C79—41no—
546C22⋊C4×C79—41no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C22⋊C4×C79—41no—
559C22⋊C4×C79—41no—
560C22⋊C4×C79—41no—
561C22⋊C4×C79—41no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C42×C79—22no—
568C42×C79—41no—
569C42×C79—41no—
570C42×C79—41no—
571C42×C79—41no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—28no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—44no—
611C23×C79—44no—
612C23×C79—44no—
613C23×C79—44no—
614C23×C79—44no—
615C23×C79—44no—
616C23×C79C2×#4112yes—
617C23×C79H(5,𝔽2)12yes—
618C23×C79H(5,𝔽2)12yes—
619C23×C79H(5,𝔽2)12yes—
620C23×C792−1+412yes—
621C23×C79C2511yescharacteristic
622D4×C79—44no—
623D4×C79—44no—
624D4×C79—44no—
625D4×C79—82no—
626D4×C79—82no—
627D4×C79—82no—
628D4×C79—82no—
629D4×C79—82no—
630D4×C79—82no—
631D4×C79—82no—
632D4×C79—82no—
633D4×C79—82no—
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—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—44no—
707C2×C4×C79—44no—
708C2×C4×C79—44no—
709C2×C4×C79—44no—
710C2×C4×C79—44no—
711C2×C4×C79—44no—
712C2×C4×C79—44no—
713C2×C4×C79—44no—
714C2×C4×C79—82no—
715C2×C4×C79—82no—
716C2×C4×C79—82no—
717C2×C4×C79—82no—
718C2×C4×C79—82no—
719C2×C4×C79C2×#4112yes—
720C2×C4×C79C2×#4112yes—
721C2×C4×C79H(5,𝔽2)12yes—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—416no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79#54014yes—
765C22×C79C22×#4111yescharacteristic
766C22×C79C2×H(5,𝔽2)11yescharacteristic
767C22×C79C2×H(5,𝔽2)11yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×2−1+411yescharacteristic
771C22×C79#58511yescharacteristic
772C4×C79—22no—
773C4×C79—22no—
774C4×C79—22no—
775C4×C79—41no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793C4×C79—41no—
794C4×C79—41no—
795C4×C79—41no—
796C4×C79—41no—
797#36777C7911yesmaximal, characteristic, direct product factor, Sylow
798C2×C79—24no—
799C2×C79—42no—
800C2×C79—42no—
801C2×C79—81no—
802C2×C79—81no—
803C2×C79—81no—
804C2×C79C2×#54011yescharacteristic
805C2×C79#349211yescharacteristic
806C2×C79#350511yescharacteristic
807C2×C79#353211yescharacteristic
808C2×C79#353411yescharacteristic
809C2×C79#353511yescharacteristic
810C2×C79#353611yescharacteristic
811#2849C2×C7911yescharacteristic, complemented
812#2847C2×C7911yescharacteristic, complemented
813#2780C2×C7911yescharacteristic, complemented
814#2780C2×C7911yescharacteristic, complemented
815#2768C2×C7911yescharacteristic, complemented
816#2761C2×C7911yescharacteristic, complemented
817#2753C2×C7911yescharacteristic, complemented
818#2749C2×C7911yescharacteristic, complemented
819#2748C2×C7911yescharacteristic, complemented
820#2743C2×C7911yescharacteristic, complemented
821#2738C2×C7911yescharacteristic, complemented
822#2711C2×C7911yescharacteristic, complemented
823#2707C2×C7911yescharacteristic, complemented
824#2706C2×C7911yescharacteristic, complemented
825#2701C2×C7911yescharacteristic, complemented
826#2701C2×C7911yescharacteristic, complemented
827#2688C2×C7911yescharacteristic, complemented
828#2671C2×C7911yescharacteristic, complemented
829#2623C2×C7911yescharacteristic, complemented
830#2618C2×C7911yescharacteristic, complemented
831#2539C2×C7911yescharacteristic, complemented
832#2534C2×C7911yescharacteristic, complemented
833#2442C2×C7911yescharacteristic, complemented
834#2425C2×C7911yescharacteristic, complemented
835#2424C2×C7911yescharacteristic, complemented
836#2419C2×C7911yescharacteristic, complemented
837#2418C2×C7911yescharacteristic, complemented
838#2416C2×C7911yescharacteristic, complemented
839#2325C2×C7911yescharacteristic, complemented
840#2318C2×C7911yescharacteristic, complemented
841C2×#385C2×C7911yescharacteristic, complemented
842C79#3677711yescharacteristic, direct product factor, Sylow
843C24×C4C22×C7911yescharacteristic
844C2×#125C22×C7911yescharacteristic, complemented
845C2×#123C22×C7911yescharacteristic
846C2×#123C22×C7911yescharacteristic
847C2×#123C22×C7911yescharacteristic
848C2×#123C22×C7911yescharacteristic
849C2×#123C22×C7911yescharacteristic
850C2×#123C22×C7911yescharacteristic
851C2×#121C22×C7911yescharacteristic
852C2×#121C22×C7911yescharacteristic
853C2×#121C22×C7911yescharacteristic
854C2×#121C22×C7911yescharacteristic
855C2×#121C22×C7911yescharacteristic
856C2×#121C22×C7911yescharacteristic
857C2×#121C22×C7911yescharacteristic, complemented
858C2×#120C22×C7911yescharacteristic
859C2×#120C22×C7911yescharacteristic
860C2×#120C22×C7911yescharacteristic
861C2×C4×D4C22×C7911yescharacteristic
862C2×C4×D4C22×C7911yescharacteristic
863C2×C4×D4C22×C7911yescharacteristic
864C22×C4⋊C4C22×C7911yescharacteristic
865C22×C4⋊C4C22×C7911yescharacteristic
866C22×C22⋊C4C22×C7911yescharacteristic
867C22×C22⋊C4C22×C7911yescharacteristic
868#400C22×C7911yescharacteristic, complemented
869#400C22×C7911yescharacteristic, complemented
870#400C22×C7911yescharacteristic, complemented
871#400C22×C7911yescharacteristic, complemented
872#400C22×C7911yescharacteristic, complemented
873#399C22×C7911yescharacteristic
874#399C22×C7911yescharacteristic
875#399C22×C7911yescharacteristic
876#399C22×C7911yescharacteristic, complemented
877#399C22×C7911yescharacteristic, complemented
878#398C22×C7911yescharacteristic, complemented
879#398C22×C7911yescharacteristic, complemented
880#398C22×C7911yescharacteristic, complemented
881#398C22×C7911yescharacteristic, complemented
882#398C22×C7911yescharacteristic, complemented
883#398C22×C7911yescharacteristic, complemented
884#398C22×C7911yescharacteristic, complemented
885#398C22×C7911yescharacteristic, complemented
886#397C22×C7911yescharacteristic
887#397C22×C7911yescharacteristic, complemented
888#397C22×C7911yescharacteristic, complemented
889#397C22×C7911yescharacteristic, complemented
890#397C22×C7911yescharacteristic, complemented
891#397C22×C7911yescharacteristic, complemented
892#396C22×C7911yescharacteristic
893#396C22×C7911yescharacteristic
894#396C22×C7911yescharacteristic
895#396C22×C7911yescharacteristic, complemented
896#396C22×C7911yescharacteristic, complemented
897#396C22×C7911yescharacteristic, complemented
898#396C22×C7911yescharacteristic, complemented
899#396C22×C7911yescharacteristic, complemented
900#396C22×C7911yescharacteristic, complemented
901#396C22×C7911yescharacteristic, complemented
902#394C22×C7911yescharacteristic
903#394C22×C7911yescharacteristic
904#394C22×C7911yescharacteristic
905#394C22×C7911yescharacteristic
906#394C22×C7911yescharacteristic
907#394C22×C7911yescharacteristic
908#394C22×C7911yescharacteristic, complemented
909#394C22×C7911yescharacteristic, complemented
910#394C22×C7911yescharacteristic, complemented
911#394C22×C7911yescharacteristic, complemented
912#394C22×C7911yescharacteristic, complemented
913#392C22×C7911yescharacteristic
914#392C22×C7911yescharacteristic
915#392C22×C7911yescharacteristic
916#390C22×C7911yescharacteristic
917#390C22×C7911yescharacteristic
918#390C22×C7911yescharacteristic
919#390C22×C7911yescharacteristic
920#390C22×C7911yescharacteristic
921#390C22×C7911yescharacteristic, complemented
922#389C22×C7911yescharacteristic, complemented
923#389C22×C7911yescharacteristic, complemented
924#389C22×C7911yescharacteristic, complemented
925#389C22×C7911yescharacteristic, complemented
926#388C22×C7911yescharacteristic
927#388C22×C7911yescharacteristic
928#388C22×C7911yescharacteristic
929#388C22×C7911yescharacteristic
930#388C22×C7911yescharacteristic
931#388C22×C7911yescharacteristic, complemented
932#388C22×C7911yescharacteristic, complemented
933#388C22×C7911yescharacteristic, complemented
934#388C22×C7911yescharacteristic, complemented
935#388C22×C7911yescharacteristic, complemented
936#387C22×C7911yescharacteristic, complemented
937#387C22×C7911yescharacteristic, complemented
938#387C22×C7911yescharacteristic, complemented
939#387C22×C7911yescharacteristic, complemented
940#387C22×C7911yescharacteristic, complemented
941#387C22×C7911yescharacteristic, complemented
942#386C22×C7911yescharacteristic
943#386C22×C7911yescharacteristic
944#386C22×C7911yescharacteristic
945#386C22×C7911yescharacteristic
946#386C22×C7911yescharacteristic
947#386C22×C7911yescharacteristic
948#386C22×C7911yescharacteristic
949#386C22×C7911yescharacteristic
950#386C22×C7911yescharacteristic
951#386C22×C7911yescharacteristic
952#386C22×C7911yescharacteristic
953#386C22×C7911yescharacteristic
954#386C22×C7911yescharacteristic
955#386C22×C7911yescharacteristic
956#386C22×C7911yescharacteristic
957#386C22×C7911yescharacteristic
958#386C22×C7911yescharacteristic, complemented
959#386C22×C7911yescharacteristic, complemented
960#386C22×C7911yescharacteristic, complemented
961#385C22×C7911yescharacteristic
962#385C22×C7911yescharacteristic
963#385C22×C7911yescharacteristic
964#385C22×C7911yescharacteristic
965#385C22×C7911yescharacteristic
966#385C22×C7911yescharacteristic
967#385C22×C7911yescharacteristic
968#385C22×C7911yescharacteristic
969#385C22×C7911yescharacteristic
970#385C22×C7911yescharacteristic
971#385C22×C7911yescharacteristic
972#385C22×C7911yescharacteristic
973#385C22×C7911yescharacteristic
974#385C22×C7911yescharacteristic
975#385C22×C7911yescharacteristic, complemented
976#385C22×C7911yescharacteristic, complemented
977#385C22×C7911yescharacteristic, complemented
978#383C22×C7911yescharacteristic, complemented
979#382C22×C7911yescharacteristic, complemented
980#382C22×C7911yescharacteristic, complemented
981#381C22×C7911yescharacteristic
982#381C22×C7911yescharacteristic
983#381C22×C7911yescharacteristic
984#381C22×C7911yescharacteristic, complemented
985#381C22×C7911yescharacteristic, complemented
986#380C22×C7911yescharacteristic
987#380C22×C7911yescharacteristic
988#380C22×C7911yescharacteristic
989#380C22×C7911yescharacteristic
990#380C22×C7911yescharacteristic
991#380C22×C7911yescharacteristic, complemented
992#380C22×C7911yescharacteristic, complemented
993#380C22×C7911yescharacteristic, complemented
994#379C22×C7911yescharacteristic
995C4×C22⋊C4C22×C7911yescharacteristic
996C2×#95C22×C7911yescharacteristic
997C2×#95C22×C7911yescharacteristic
998C25C23×C7911yescharacteristic
999C22×D4C23×C7911yescharacteristic
1000C22×D4C23×C7911yescharacteristic
1001C22×D4C23×C7911yescharacteristic
1002C22×D4C23×C7911yescharacteristic
1003C22×D4C23×C7911yescharacteristic
1004C22×D4C23×C7911yescharacteristic
1005C22×D4C23×C7911yescharacteristic
1006C22×D4C23×C7911yescharacteristic
1007C22×D4C23×C7911yescharacteristic
1008C22×D4C23×C7911yescharacteristic
1009C22×D4C23×C7911yescharacteristic
1010C22×D4C23×C7911yescharacteristic
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4C23×C7911yescharacteristic
1015C23×C4C23×C7911yescharacteristic
1016C23×C4C23×C7911yescharacteristic
1017C23×C4C23×C7911yescharacteristic
1018C23×C4C23×C7911yescharacteristic
1019C23×C4C23×C7911yescharacteristic
1020C23×C4C23×C7911yescharacteristic
1021C23×C4C23×C7911yescharacteristic
1022C23×C4C23×C7911yescharacteristic
1023C23×C4C23×C7911yescharacteristic
1024C23×C4C23×C7911yescharacteristic
1025C23×C4C23×C7911yescharacteristic
1026C23×C4C23×C7911yescharacteristic
1027#125—42no—
1028#123—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#123—42no—
1034#121—24no—
1035#121—42no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#121—42no—
1041#120—42no—
1042#120—42no—
1043#120—42no—
1044C4×D4—24no—
1045C4×D4—42no—
1046C4×D4—42no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—42no—
1049C2×C4⋊C4C23×C7911yescharacteristic
1050C2×C4⋊C4C23×C7911yescharacteristic
1051C2×C4⋊C4C23×C7911yescharacteristic
1052C2×C4⋊C4C23×C7911yescharacteristic
1053C2×C4⋊C4C23×C7911yescharacteristic
1054C2×C4⋊C4C23×C7911yescharacteristic
1055C2×C4⋊C4C23×C7911yescharacteristic
1056C2×C4⋊C4C23×C7911yescharacteristic
1057C2×C4⋊C4C23×C7911yescharacteristic
1058C2×C4⋊C4C23×C7911yescharacteristic
1059C2×C4⋊C4C23×C7911yescharacteristic
1060C2×C4⋊C4C23×C7911yescharacteristic
1061C2×C4⋊C4C23×C7911yescharacteristic
1062C2×C4⋊C4C23×C7911yescharacteristic
1063C2×C4⋊C4C23×C7911yescharacteristic
1064C2×C4⋊C4C23×C7911yescharacteristic
1065C2×C4⋊C4C23×C7911yescharacteristic
1066C2×C4⋊C4C23×C7911yescharacteristic
1067C2×C4⋊C4C23×C7911yescharacteristic
1068C2×C4⋊C4C23×C7911yescharacteristic
1069C2×C4⋊C4C23×C7911yescharacteristic
1070C2×C4⋊C4C23×C7911yescharacteristic
1071C2×C4⋊C4C23×C7911yescharacteristic
1072C2×C4⋊C4C23×C7911yescharacteristic
1073C2×C4⋊C4C23×C7911yescharacteristic
1074C2×C4⋊C4C23×C7911yescharacteristic
1075C2×C4⋊C4C23×C7911yescharacteristic
1076C2×C4⋊C4C23×C7911yescharacteristic
1077C2×C4⋊C4C23×C7911yescharacteristic
1078C2×C4⋊C4C23×C7911yescharacteristic
1079C2×C4⋊C4C23×C7911yescharacteristic
1080C2×C4⋊C4C23×C7911yescharacteristic
1081C2×C4⋊C4C23×C7911yescharacteristic
1082C2×C4⋊C4C23×C7911yescharacteristic
1083C2×C22⋊C4—24no—
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4C23×C7911yescharacteristic
1086C2×C22⋊C4C23×C7911yescharacteristic
1087C2×C22⋊C4C23×C7911yescharacteristic
1088C2×C22⋊C4C23×C7911yescharacteristic
1089C2×C22⋊C4C23×C7911yescharacteristic
1090C2×C22⋊C4C23×C7911yescharacteristic
1091C2×C22⋊C4C23×C7911yescharacteristic
1092C2×C22⋊C4C23×C7911yescharacteristic
1093C2×C22⋊C4C23×C7911yescharacteristic
1094C2×C22⋊C4C23×C7911yescharacteristic
1095C2×C22⋊C4C23×C7911yescharacteristic
1096C2×C22⋊C4C23×C7911yescharacteristic
1097C2×C22⋊C4C23×C7911yescharacteristic
1098C2×C22⋊C4C23×C7911yescharacteristic
1099C2×C22⋊C4C23×C7911yescharacteristic
1100C2×C22⋊C4C23×C7911yescharacteristic
1101C2×C22⋊C4C23×C7911yescharacteristic
1102C2×C22⋊C4C23×C7911yescharacteristic
1103C2×C22⋊C4C23×C7911yescharacteristic
1104C2×C22⋊C4C23×C7911yescharacteristic
1105C2×C22⋊C4C23×C7911yescharacteristic
1106C2×C22⋊C4C23×C7911yescharacteristic
1107C2×C22⋊C4C23×C7911yescharacteristic
1108C2×C22⋊C4C23×C7911yescharacteristic
1109C2×C22⋊C4C23×C7911yescharacteristic
1110C2×C22⋊C4C23×C7911yescharacteristic
1111C2×C22⋊C4C23×C7911yescharacteristic
1112C2×C22⋊C4C23×C7911yescharacteristic
1113C2×C22⋊C4C23×C7911yescharacteristic
1114C2×C22⋊C4C23×C7911yescharacteristic
1115C2×C22⋊C4C23×C7911yescharacteristic
1116C2×C22⋊C4C23×C7911yescharacteristic
1117C2×C22⋊C4C23×C7911yescharacteristic
1118C2×C22⋊C4C23×C7911yescharacteristic
1119C2×C22⋊C4C23×C7911yescharacteristic
1120C2×C22⋊C4C23×C7911yescharacteristic
1121C2×C22⋊C4C23×C7911yescharacteristic
1122C2×C22⋊C4C23×C7911yescharacteristic
1123C2×C22⋊C4C23×C7911yescharacteristic
1124C2×C22⋊C4C23×C7911yescharacteristic
1125C2×C22⋊C4C23×C7911yescharacteristic
1126C2×C22⋊C4C23×C7911yescharacteristic
1127C2×C22⋊C4C23×C7911yescharacteristic
1128C2×C22⋊C4C23×C7911yescharacteristic
1129C2×C22⋊C4C23×C7911yescharacteristic
1130C2×C22⋊C4C23×C7911yescharacteristic
1131C2×C22⋊C4C23×C7911yescharacteristic
1132C2×C22⋊C4C23×C7911yescharacteristic
1133C2×C22⋊C4C23×C7911yescharacteristic
1134C2×C22⋊C4C23×C7911yescharacteristic
1135C2×C42C23×C7911yescharacteristic
1136C2×C42C23×C7911yescharacteristic
1137C2×C42C23×C7911yescharacteristic
1138C2×C42C23×C7911yescharacteristic
1139C2×C42C23×C7911yescharacteristic
1140#95C23×C7911yescharacteristic
1141#95C23×C7911yescharacteristic
1142#95C23×C7911yescharacteristic
1143#95C23×C7911yescharacteristic
1144#95C23×C7911yescharacteristic
1145#95C23×C7911yescharacteristic
1146#95C23×C7911yescharacteristic
1147#95C23×C7911yescharacteristic
1148#95C23×C7911yescharacteristic
1149#95C23×C7911yescharacteristic
1150#95C23×C7911yescharacteristic
1151#95C23×C7911yescharacteristic
1152#95C23×C7911yescharacteristic
1153#95C23×C7911yescharacteristic
1154#95C23×C7911yescharacteristic
1155#95C23×C7911yescharacteristic
1156#95C23×C7911yescharacteristic
1157#95C23×C7911yescharacteristic
1158#95C23×C7911yescharacteristic
1159#95C23×C7911yescharacteristic
1160#95C23×C7911yescharacteristic
1161#95C23×C7911yescharacteristic
1162#95C23×C7911yescharacteristic
1163#95C23×C7911yescharacteristic
1164#95C23×C7911yescharacteristic
1165#95C23×C7911yescharacteristic
1166#95C23×C7911yescharacteristic
1167#95C23×C7911yescharacteristic
1168#95C23×C7911yescharacteristic
1169#95C23×C7911yescharacteristic
1170#95C23×C7911yescharacteristic
1171#95C23×C7911yescharacteristic
1172#95C23×C7911yescharacteristic
1173#95C23×C7911yescharacteristic
1174#95C23×C7911yescharacteristic
1175#95C23×C7911yescharacteristic
1176#95C23×C7911yescharacteristic
1177#95C23×C7911yescharacteristic
1178#95C23×C7911yescharacteristic
1179#95C23×C7911yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24C24×C7911yescharacteristic
1188C24C24×C7911yescharacteristic
1189C24C24×C7911yescharacteristic
1190C24C24×C7911yescharacteristic
1191C24C24×C7911yescharacteristic
1192C24C24×C7911yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
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—416no—
1268C22×C4#41×C7914yes—
1269C22×C4C24×C7911yescharacteristic
1270C22×C4C24×C7911yescharacteristic
1271C22×C4C24×C7911yescharacteristic
1272C22×C4C24×C7911yescharacteristic
1273C22×C4C24×C7911yescharacteristic
1274C22×C4C24×C7911yescharacteristic
1275C22×C4C24×C7911yescharacteristic
1276C22×C4C24×C7911yescharacteristic
1277C22×C4C24×C7911yescharacteristic
1278C22×C4C24×C7911yescharacteristic
1279C22×C4C24×C7911yescharacteristic
1280C22×C4C24×C7911yescharacteristic
1281C22×C4C24×C7911yescharacteristic
1282C22×C4C24×C7911yescharacteristic
1283C22×C4C24×C7911yescharacteristic
1284C22×C4C24×C7911yescharacteristic
1285C22×C4C24×C7911yescharacteristic
1286C22×C4C24×C7911yescharacteristic
1287C22×C4C24×C7911yescharacteristic
1288C22×C4C24×C7911yescharacteristic
1289C22×C4C24×C7911yescharacteristic
1290C22×C4C24×C7911yescharacteristic
1291C22×C4C24×C7911yescharacteristic
1292C22×C4C24×C7911yescharacteristic
1293C22×C4C24×C7911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C7912yes—
1428C23H(5,𝔽2)×C7912yes—
1429C23H(5,𝔽2)×C7912yes—
1430C23H(5,𝔽2)×C7912yes—
1431C232−1+4×C7912yes—
1432C23C25×C7911yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4C2×#41×C7912yes—
1531C2×C4C2×#41×C7912yes—
1532C2×C4H(5,𝔽2)×C7912yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22#540×C7914yes—
1576C22C22×#41×C7911yescharacteristic
1577C22C2×H(5,𝔽2)×C7911yescharacteristic
1578C22C2×H(5,𝔽2)×C7911yescharacteristic
1579C22C2×H(5,𝔽2)×C7911yescharacteristic
1580C22C2×H(5,𝔽2)×C7911yescharacteristic
1581C22C2×2−1+4×C7911yescharacteristic
1582C22#585×C7911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2C2×#540×C7911yescharacteristic
1615C2C79×#349211yescharacteristic
1616C2C79×#350511yescharacteristic
1617C2C79×#353211yescharacteristic
1618C2C79×#353411yescharacteristic
1619C2C79×#353511yescharacteristic
1620C2C79×#353611yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutator, Frattini, cosocleC23C25×C79
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#2849C2semidirect
2. C79×#2847C2semidirect
3. C79×#2780C2semidirect
4. C79×#2780C2semidirect
5. C79×#2768C2semidirect
6. C79×#2761C2semidirect
7. C79×#2753C2semidirect
8. C79×#2749C2semidirect
9. C79×#2748C2semidirect
10. C79×#2743C2semidirect
11. C79×#2738C2semidirect
12. C79×#2711C2semidirect
13. C79×#2707C2semidirect
14. C79×#2706C2semidirect
15. C79×#2701C2semidirect
16. C79×#2701C2semidirect
17. C79×#2688C2semidirect
18. C79×#2671C2semidirect
19. C79×#2623C2semidirect
20. C79×#2618C2semidirect
21. C79×#2539C2semidirect
22. C79×#2534C2semidirect
23. C79×#2442C2semidirect
24. C79×#2425C2semidirect
25. C79×#2424C2semidirect
26. C79×#2419C2semidirect
27. C79×#2418C2semidirect
28. C79×#2416C2semidirect
29. C79×#2325C2semidirect
30. C79×#2318C2semidirect
31. C2×#385×C79C2semidirect
33. C2×#125×C79C22semidirect
46. C2×#121×C79C22semidirect
57. #400×C79C22semidirect
58. #400×C79C22semidirect
59. #400×C79C22semidirect
60. #400×C79C22semidirect
61. #400×C79C22semidirect
65. #399×C79C22semidirect
66. #399×C79C22semidirect
67. #398×C79C22semidirect
68. #398×C79C22semidirect
69. #398×C79C22semidirect
70. #398×C79C22semidirect
71. #398×C79C22semidirect
72. #398×C79C22semidirect
73. #398×C79C22semidirect
74. #398×C79C22semidirect
76. #397×C79C22semidirect
77. #397×C79C22semidirect
78. #397×C79C22semidirect
79. #397×C79C22semidirect
80. #397×C79C22semidirect
84. #396×C79C22semidirect
85. #396×C79C22semidirect
86. #396×C79C22semidirect
87. #396×C79C22semidirect
88. #396×C79C22semidirect
89. #396×C79C22semidirect
90. #396×C79C22semidirect
97. #394×C79C22semidirect
98. #394×C79C22semidirect
99. #394×C79C22semidirect
100. #394×C79C22semidirect
101. #394×C79C22semidirect
110. #390×C79C22semidirect
111. #389×C79C22semidirect
112. #389×C79C22semidirect
113. #389×C79C22semidirect
114. #389×C79C22semidirect
120. #388×C79C22semidirect
121. #388×C79C22semidirect
122. #388×C79C22semidirect
123. #388×C79C22semidirect
124. #388×C79C22semidirect
125. #387×C79C22semidirect
126. #387×C79C22semidirect
127. #387×C79C22semidirect
128. #387×C79C22semidirect
129. #387×C79C22semidirect
130. #387×C79C22semidirect
147. #386×C79C22semidirect
148. #386×C79C22semidirect
149. #386×C79C22semidirect
164. #385×C79C22semidirect
165. #385×C79C22semidirect
166. #385×C79C22semidirect
167. #383×C79C22semidirect
168. #382×C79C22semidirect
169. #382×C79C22semidirect
173. #381×C79C22semidirect
174. #381×C79C22semidirect
180. #380×C79C22semidirect
181. #380×C79C22semidirect
182. #380×C79C22semidirect
797. #36777C79direct (N × H)
811. #2849C2×C79semidirect
812. #2847C2×C79semidirect
813. #2780C2×C79semidirect
814. #2780C2×C79semidirect
815. #2768C2×C79semidirect
816. #2761C2×C79semidirect
817. #2753C2×C79semidirect
818. #2749C2×C79semidirect
819. #2748C2×C79semidirect
820. #2743C2×C79semidirect
821. #2738C2×C79semidirect
822. #2711C2×C79semidirect
823. #2707C2×C79semidirect
824. #2706C2×C79semidirect
825. #2701C2×C79semidirect
826. #2701C2×C79semidirect
827. #2688C2×C79semidirect
828. #2671C2×C79semidirect
829. #2623C2×C79semidirect
830. #2618C2×C79semidirect
831. #2539C2×C79semidirect
832. #2534C2×C79semidirect
833. #2442C2×C79semidirect
834. #2425C2×C79semidirect
835. #2424C2×C79semidirect
836. #2419C2×C79semidirect
837. #2418C2×C79semidirect
838. #2416C2×C79semidirect
839. #2325C2×C79semidirect
840. #2318C2×C79semidirect
841. C2×#385C2×C79semidirect
842. C79#36777direct (N × H)
844. C2×#125C22×C79semidirect
857. C2×#121C22×C79semidirect
868. #400C22×C79semidirect
869. #400C22×C79semidirect
870. #400C22×C79semidirect
871. #400C22×C79semidirect
872. #400C22×C79semidirect
876. #399C22×C79semidirect
877. #399C22×C79semidirect
878. #398C22×C79semidirect
879. #398C22×C79semidirect
880. #398C22×C79semidirect
881. #398C22×C79semidirect
882. #398C22×C79semidirect
883. #398C22×C79semidirect
884. #398C22×C79semidirect
885. #398C22×C79semidirect
887. #397C22×C79semidirect
888. #397C22×C79semidirect
889. #397C22×C79semidirect
890. #397C22×C79semidirect
891. #397C22×C79semidirect
895. #396C22×C79semidirect
896. #396C22×C79semidirect
897. #396C22×C79semidirect
898. #396C22×C79semidirect
899. #396C22×C79semidirect
900. #396C22×C79semidirect
901. #396C22×C79semidirect
908. #394C22×C79semidirect
909. #394C22×C79semidirect
910. #394C22×C79semidirect
911. #394C22×C79semidirect
912. #394C22×C79semidirect
921. #390C22×C79semidirect
922. #389C22×C79semidirect
923. #389C22×C79semidirect
924. #389C22×C79semidirect
925. #389C22×C79semidirect
931. #388C22×C79semidirect
932. #388C22×C79semidirect
933. #388C22×C79semidirect
934. #388C22×C79semidirect
935. #388C22×C79semidirect
936. #387C22×C79semidirect
937. #387C22×C79semidirect
938. #387C22×C79semidirect
939. #387C22×C79semidirect
940. #387C22×C79semidirect
941. #387C22×C79semidirect
958. #386C22×C79semidirect
959. #386C22×C79semidirect
960. #386C22×C79semidirect
975. #385C22×C79semidirect
976. #385C22×C79semidirect
977. #385C22×C79semidirect
978. #383C22×C79semidirect
979. #382C22×C79semidirect
980. #382C22×C79semidirect
984. #381C22×C79semidirect
985. #381C22×C79semidirect
991. #380C22×C79semidirect
992. #380C22×C79semidirect
993. #380C22×C79semidirect

Maximal subgroups

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

subgroupindex
C79×#28492
C79×#28472
C79×#27802
C79×#27682
C79×#27612
C79×#27532
C79×#27492
C79×#27482
C79×#27432
C79×#27382
C79×#27112
C79×#27072
C79×#27062
C79×#27012
C79×#26882
C79×#26712
C79×#26232
C79×#26182
C79×#25392
C79×#25342
C79×#24422
C79×#24252
C79×#24242
C79×#24192
C79×#24182
C79×#24162
C79×#23252
C79×#23182
C2×#385×C792
#3677779