Finite Group Databasebeta

← #2516×D79 #34457691

Subgroups — #2516×D79 #34457691

Order 20224.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23768041C211yesmaximal, characteristic, complemented
2#23768040C211yesmaximal, characteristic, complemented
3#23768039C211yesmaximal, characteristic, complemented
4#23768038C211yesmaximal, characteristic, complemented
5#23768037C211yesmaximal, characteristic, complemented
6#23768036C211yesmaximal, characteristic, complemented
7#23768035C211yesmaximal, characteristic, complemented
8#23768034C211yesmaximal, characteristic, complemented
9#23768033C211yesmaximal, characteristic, complemented
10#23768032C211yesmaximal, characteristic, complemented
11#23768031C211yesmaximal, characteristic, complemented
12#23768030C211yesmaximal, characteristic, complemented
13#23768029C211yesmaximal, characteristic, complemented
14#23768028C211yesmaximal, characteristic, complemented
15#23768027C211yesmaximal, characteristic, complemented
16#400×D79C211yesmaximal, characteristic, complemented
17#399×D79C211yesmaximal, characteristic, complemented
18#397×D79C211yesmaximal, characteristic, complemented
19#394×D79C211yesmaximal, characteristic
20#390×D79C211yesmaximal, characteristic
21#388×D79C211yesmaximal, characteristic, complemented
22#388×D79C211yesmaximal, characteristic, complemented
23#388×D79C211yesmaximal, characteristic, complemented
24#388×D79C211yesmaximal, characteristic, complemented
25#387×D79C211yesmaximal, characteristic, complemented
26#387×D79C211yesmaximal, characteristic, complemented
27#386×D79C211yesmaximal, characteristic
28#381×D79C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D79C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2516C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×C4⋊C4×D79C2211yescharacteristic
35C2×C4⋊C4×D79C2211yescharacteristic
36C2×C4⋊C4×D79C2211yescharacteristic
37C2×C4⋊C4×D79C2211yescharacteristic
38C2×C4⋊C4×D79C2211yescharacteristic
39C2×C4⋊C4×D79C2211yescharacteristic
40C2×C22⋊C4×D79C2211yescharacteristic
41C2×C22⋊C4×D79C2211yescharacteristic
42C2×C22⋊C4×D79C2211yescharacteristic
43C2×C22⋊C4×D79C2211yescharacteristic
44C2×C22⋊C4×D79C2211yescharacteristic
45C2×C22⋊C4×D79C2211yescharacteristic
46C2×C22⋊C4×D79C2211yescharacteristic
47C2×C22⋊C4×D79C2211yescharacteristic
48C2×C22⋊C4×D79C2211yescharacteristic
49C2×C22⋊C4×D79C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C2×C42×D79C2211yescharacteristic
52C2×C42×D79C2211yescharacteristic
53C2×C42×D79C2211yescharacteristic
54C2×C42×D79C2211yescharacteristic
55#19098505C2211yescharacteristic, complemented
56#19098505C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098503C2211yescharacteristic, complemented
60#19098502C2211yescharacteristic, complemented
61#19098501C2211yescharacteristic, complemented
62#19098500C2211yescharacteristic, complemented
63#19098499C2211yescharacteristic, complemented
64#19098499C2211yescharacteristic, complemented
65#19098499C2211yescharacteristic, complemented
66#19098498C2211yescharacteristic, complemented
67#19098498C2211yescharacteristic, complemented
68#19098498C2211yescharacteristic, complemented
69#19098492C2211yescharacteristic, complemented
70#19098492C2211yescharacteristic, complemented
71#19098491C2211yescharacteristic, complemented
72#19098491C2211yescharacteristic, complemented
73#19098490C2211yescharacteristic, complemented
74#19098489C2211yescharacteristic, complemented
75#19098488C2211yescharacteristic, complemented
76#19098481C2211yescharacteristic
77#19098480C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098477C2211yescharacteristic
83#19098466C2211yescharacteristic
84#19098465C2211yescharacteristic
85#19098464C2211yescharacteristic
86#19098463C2211yescharacteristic
87#19098463C2211yescharacteristic
88#19098463C2211yescharacteristic
89#19098463C2211yescharacteristic
90#19098457C2211yescharacteristic, complemented
91#19098457C2211yescharacteristic, complemented
92#19098457C2211yescharacteristic, complemented
93#19098457C2211yescharacteristic, complemented
94#19098456C2211yescharacteristic, complemented
95#19098456C2211yescharacteristic, complemented
96#19098456C2211yescharacteristic, complemented
97#19098456C2211yescharacteristic, complemented
98#19098455C2211yescharacteristic, complemented
99#19098455C2211yescharacteristic, complemented
100#19098455C2211yescharacteristic, complemented
101#19098455C2211yescharacteristic, complemented
102#19098454C2211yescharacteristic, complemented
103#19098454C2211yescharacteristic, complemented
104#19098454C2211yescharacteristic, complemented
105#19098454C2211yescharacteristic, complemented
106#19098453C2211yescharacteristic, complemented
107#19098453C2211yescharacteristic, complemented
108#19098453C2211yescharacteristic, complemented
109#19098453C2211yescharacteristic, complemented
110#19098452C2211yescharacteristic, complemented
111#19098452C2211yescharacteristic, complemented
112#19098452C2211yescharacteristic, complemented
113#19098452C2211yescharacteristic, complemented
114#19098451C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098451C2211yescharacteristic, complemented
117#19098451C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098449C2211yescharacteristic, complemented
121#19098449C2211yescharacteristic, complemented
122#19098448C2211yescharacteristic, complemented
123#19098448C2211yescharacteristic, complemented
124#19098447C2211yescharacteristic, complemented
125#19098447C2211yescharacteristic, complemented
126#19098446C2211yescharacteristic, complemented
127#19098446C2211yescharacteristic, complemented
128#19098445C2211yescharacteristic, complemented
129#19098445C2211yescharacteristic, complemented
130#19098444C2211yescharacteristic, complemented
131#19098444C2211yescharacteristic, complemented
132#19098443C2211yescharacteristic
133#19098442C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098440C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098426C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic, complemented
141#19098425C2211yescharacteristic, complemented
142#19098425C2211yescharacteristic, complemented
143#19098425C2211yescharacteristic, complemented
144#19098424C2211yescharacteristic, complemented
145#19098424C2211yescharacteristic, complemented
146C4⋊C4×Dic79C2211yescharacteristic, complemented
147C4⋊C4×Dic79C2211yescharacteristic, complemented
148C4×Dic79⋊C4C2211yescharacteristic, complemented
149C4×Dic79⋊C4C2211yescharacteristic, complemented
150C4×C4⋊Dic79C2211yescharacteristic, complemented
151#19098414C2211yescharacteristic, complemented
152#19098414C2211yescharacteristic, complemented
153C22⋊C4×Dic79C2211yescharacteristic, complemented
154C22⋊C4×Dic79C2211yescharacteristic, complemented
155C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
157C4×C22⋊Dic79C2211yescharacteristic, complemented
158#19098410C2211yescharacteristic, complemented
159#19098410C2211yescharacteristic, complemented
160#95×D79C2211yescharacteristic
161#95×D79C2211yescharacteristic
162#95×D79C2211yescharacteristic
163#95×D79C2211yescharacteristic
164#95×D79C2211yescharacteristic
165#95×D79C2211yescharacteristic
166#95×D79C2211yescharacteristic
167#95×D79C2211yescharacteristic
168#95×D79C2211yescharacteristic
169#95×D79C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#400×C79C2211yescharacteristic, complemented
173#399×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic, complemented
175#394×C79C2211yescharacteristic
176#390×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic
184#381×C79C2211yescharacteristic, complemented
185C4×C4⋊C4×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C2×D4×D79—24no—
193C2×D4×D79—24no—
194C2×D4×D79—42no—
195C23×Dic79C2311yescharacteristic
196C22×C4×D79—24no—
197C22×C4×D79—24no—
198C22×C4×D79—42no—
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C2×C4⋊Dic79C2311yescharacteristic
215C2×C4⋊Dic79C2311yescharacteristic
216C2×C4⋊Dic79C2311yescharacteristic
217C2×C4⋊Dic79C2311yescharacteristic
218C2×C4⋊Dic79C2311yescharacteristic
219C2×C4⋊Dic79C2311yescharacteristic
220C2×Dic79⋊C4C2311yescharacteristic
221C2×Dic79⋊C4C2311yescharacteristic
222C2×Dic79⋊C4C2311yescharacteristic
223C2×Dic79⋊C4C2311yescharacteristic
224C2×Dic79⋊C4C2311yescharacteristic
225C2×Dic79⋊C4C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C4⋊C4×D79—24no—
233C4⋊C4×D79—24no—
234C4⋊C4×D79—24no—
235C4⋊C4×D79—24no—
236C4⋊C4×D79—42no—
237C4⋊C4×D79—42no—
238C2×C22⋊Dic79C2311yescharacteristic
239C2×C22⋊Dic79C2311yescharacteristic
240C2×C22⋊Dic79C2311yescharacteristic
241C2×C22⋊Dic79C2311yescharacteristic
242C2×C22⋊Dic79C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×(C2×D79)⋊C4C2311yescharacteristic
250C2×(C2×D79)⋊C4C2311yescharacteristic
251C2×(C2×D79)⋊C4C2311yescharacteristic
252C2×(C2×D79)⋊C4C2311yescharacteristic
253C2×(C2×D79)⋊C4C2311yescharacteristic
254C2×(C2×D79)⋊C4C2311yescharacteristic
255C2×(C2×D79)⋊C4C2311yescharacteristic
256C2×(C2×D79)⋊C4C2311yescharacteristic
257C2×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C22⋊C4×D79—24no—
272C22⋊C4×D79—24no—
273C22⋊C4×D79—24no—
274C22⋊C4×D79—24no—
275C22⋊C4×D79—24no—
276C22⋊C4×D79—24no—
277C22⋊C4×D79—42no—
278C22⋊C4×D79—42no—
279C22⋊C4×D79—42no—
280C22⋊C4×D79—42no—
281C22⋊C4×D79—42no—
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C42×D79—24no—
295C42×D79—42no—
296C42×D79—42no—
297C42×D79—42no—
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C42×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355C2×C42×C79C2311yescharacteristic
356C2×C42×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
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—22no—
375C23×D79—22no—
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—22no—
379C23×D79—22no—
380C23×D79—22no—
381C23×D79—22no—
382C23×D79#4114yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C2×D316—22no—
387C2×D316—22no—
388C2×D316—41no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395D4×D79—416no—
396C22×Dic79—22no—
397C22×Dic79—22no—
398C22×Dic79—41no—
399C22×Dic79C2411yescharacteristic
400C22×Dic79C2411yescharacteristic
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2411yescharacteristic
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C2×C4×D79—22no—
413C2×C4×D79—22no—
414C2×C4×D79—22no—
415C2×C4×D79—22no—
416C2×C4×D79—22no—
417C2×C4×D79—22no—
418C2×C4×D79—22no—
419C2×C4×D79—22no—
420C2×C4×D79—22no—
421C2×C4×D79—22no—
422C2×C4×D79—22no—
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—416no—
454C2×C4×D79#4114yes—
455C2×C4×D79#4114yes—
456C2×C4×D79#4114yes—
457C2×C4×D79#4114yes—
458C4⋊Dic79—22no—
459C4⋊Dic79—22no—
460C4⋊Dic79—22no—
461C4⋊Dic79—22no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509C4×Dic79—22no—
510C4×Dic79—22no—
511C4×Dic79—22no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C24×C79C2411yescharacteristic
522C24×C79C2411yescharacteristic
523C2×D4×C79—22no—
524C2×D4×C79—22no—
525C2×D4×C79—41no—
526C22×C4×C79—22no—
527C22×C4×C79—22no—
528C22×C4×C79—41no—
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C4⋊C4×C79—22no—
543C4⋊C4×C79—22no—
544C4⋊C4×C79—22no—
545C4⋊C4×C79—22no—
546C4⋊C4×C79—41no—
547C4⋊C4×C79—41no—
548C22⋊C4×C79—22no—
549C22⋊C4×C79—22no—
550C22⋊C4×C79—22no—
551C22⋊C4×C79—22no—
552C22⋊C4×C79—22no—
553C22⋊C4×C79—22no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C22⋊C4×C79—41no—
559C42×C79—22no—
560C42×C79—41no—
561C42×C79—41no—
562C42×C79—41no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79C2×#4112yes—
577C23×C79C2511yescharacteristic
578C22×D79—21no—
579C22×D79—21no—
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—28no—
585C22×D79—28no—
586C22×D79—28no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—44no—
595C22×D79—44no—
596C22×D79—44no—
597C22×D79—44no—
598C22×D79—44no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79—44no—
604C22×D79—44no—
605C22×D79C2×#4112yes—
606C22×D79C2×#4112yes—
607C22×D79C2×#4112yes—
608C22×D79C2×#4112yes—
609C22×D79C2×#4112yes—
610C22×D79C2×#4112yes—
611C22×D79H(5,𝔽2)12yes—
612C22×D79H(5,𝔽2)12yes—
613D4×C79—44no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—44no—
650C2×C4×C79C2×#4112yes—
651C2×C4×C79C2×#4112yes—
652C2×C4×C79C2×#4112yes—
653C2×C4×C79C2×#4112yes—
654C22⋊D79—44no—
655C22⋊D79—44no—
656C2×Dic79—21no—
657C2×Dic79—21no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—44no—
692C2×Dic79C2×#4112yes—
693C2×Dic79C2×#4112yes—
694C2×Dic79C2×#4112yes—
695C2×Dic79C2×#4112yes—
696D316—44no—
697C4×D79—28no—
698C4×D79—28no—
699C4×D79—28no—
700C4×D79—28no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—44no—
704C4×D79—44no—
705C4×D79—44no—
706C4×D79—44no—
707C4×D79—44no—
708C4×D79—44no—
709C4×D79—44no—
710C4×D79—44no—
711C4×D79—44no—
712C22×C79—22no—
713C22×C79—22no—
714C22×C79—22no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79C22×#4111yescharacteristic
727C22×C79C22×#4111yescharacteristic
728C22×C79C22×#4111yescharacteristic
729C22×C79C22×#4111yescharacteristic
730C22×C79C22×#4111yescharacteristic
731C22×C79C2×H(5,𝔽2)11yescharacteristic
732C22×C79C2×H(5,𝔽2)11yescharacteristic
733C2×D79—22no—
734C2×D79—22no—
735C2×D79—22no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—416no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—88no—
749C2×D79#52914yes—
750C2×D79#52914yes—
751C2×D79#54014yes—
752C2×D79#55114yes—
753C2×D79#55114yes—
754C2×D79#55314yes—
755C2×D79#55914yes—
756C4×C79—22no—
757C4×C79—22no—
758C4×C79—22no—
759C4×C79—22no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769Dic79—22no—
770Dic79—22no—
771Dic79—22no—
772Dic79—22no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782C2×#2516—791nomaximal, Sylow
783C2×C79—42no—
784C2×C79—81no—
785C2×C79C2×#52911yescharacteristic
786C2×C79C2×#52911yescharacteristic
787C2×C79C2×#54011yescharacteristic
788C2×C79C2×#55111yescharacteristic
789C2×C79C2×#55111yescharacteristic
790C2×C79C2×#55311yescharacteristic
791C2×C79C2×#55911yescharacteristic
792D79—42no—
793D79—81no—
794D79#251618yesdirect product factor
795#2516—791no—
796#2516—791no—
797#2516—791no—
798#2516—791no—
799#2516—791no—
800#2516—791no—
801#2516—791no—
802#2516—791no—
803#2516—791no—
804#2516—791no—
805#2516—791no—
806#2516—791no—
807#2516—791no—
808#2516—791no—
809#2516—791no—
810#2516D7911yescharacteristic, direct product factor
811C2×#400—791no—
812C2×#399—791no—
813C2×#397—791no—
814C2×#394—791no—
815C2×#390—791no—
816C2×#388—791no—
817C2×#388—791no—
818C2×#388—791no—
819C2×#388—791no—
820C2×#387—791no—
821C2×#387—791no—
822C2×#386—791no—
823C2×#381—791no—
824C2×C4×C4⋊C4—791no—
825C2×C4×C22⋊C4—791no—
826C79C2×#251611yescharacteristic, complemented, Sylow
827C23×D4—791no—
828C24×C4—791no—
829C22×C4⋊C4—791no—
830C22×C4⋊C4—791no—
831C22×C4⋊C4—791no—
832C22×C4⋊C4—791no—
833C22×C4⋊C4—791no—
834C22×C4⋊C4—791no—
835C22×C22⋊C4—791no—
836C22×C22⋊C4—791no—
837C22×C22⋊C4—791no—
838C22×C22⋊C4—791no—
839C22×C22⋊C4—791no—
840C22×C22⋊C4—791no—
841C22×C22⋊C4—791no—
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844C22×C22⋊C4—791no—
845C22×C22⋊C4—791no—
846C22×C42—791no—
847C22×C42—791no—
848C22×C42—791no—
849C22×C42—791no—
850#400—791no—
851#400—791no—
852#400—791no—
853#400—791no—
854#400—791no—
855#400—791no—
856#400—791no—
857#400C2×D7911yescharacteristic, complemented
858#399—791no—
859#399—791no—
860#399—791no—
861#399—791no—
862#399—791no—
863#399—791no—
864#399—791no—
865#399C2×D7911yescharacteristic, complemented
866#397—791no—
867#397—791no—
868#397—791no—
869#397—791no—
870#397—791no—
871#397—791no—
872#397—791no—
873#397C2×D7911yescharacteristic, complemented
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394C2×D7911yescharacteristic
882#390—791no—
883#390—791no—
884#390—791no—
885#390—791no—
886#390—791no—
887#390—791no—
888#390—791no—
889#390C2×D7911yescharacteristic
890#388—791no—
891#388—791no—
892#388—791no—
893#388—791no—
894#388—791no—
895#388—791no—
896#388—791no—
897#388—791no—
898#388—791no—
899#388—791no—
900#388—791no—
901#388—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388C2×D7911yescharacteristic, complemented
919#388C2×D7911yescharacteristic, complemented
920#388C2×D7911yescharacteristic, complemented
921#388C2×D7911yescharacteristic, complemented
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387—791no—
927#387—791no—
928#387—791no—
929#387—791no—
930#387—791no—
931#387—791no—
932#387—791no—
933#387—791no—
934#387—791no—
935#387—791no—
936#387C2×D7911yescharacteristic, complemented
937#387C2×D7911yescharacteristic, complemented
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386C2×D7911yescharacteristic
946#381—791no—
947#381—791no—
948#381—791no—
949#381—791no—
950#381—791no—
951#381—791no—
952#381—791no—
953#381C2×D7911yescharacteristic, complemented
954C4×C4⋊C4—791no—
955C4×C4⋊C4—791no—
956C4×C4⋊C4—791no—
957C4×C4⋊C4—791no—
958C4×C4⋊C4—791no—
959C4×C4⋊C4—791no—
960C4×C4⋊C4—791no—
961C4×C4⋊C4C2×D7911yescharacteristic, complemented
962C4×C22⋊C4—791no—
963C4×C22⋊C4—791no—
964C4×C22⋊C4—791no—
965C4×C22⋊C4—791no—
966C4×C22⋊C4—791no—
967C4×C22⋊C4—791no—
968C4×C22⋊C4—791no—
969C4×C22⋊C4C2×D7911yescharacteristic, complemented
970C2×#95—791no—
971C2×#95—791no—
972C2×#95—791no—
973C2×#95—791no—
974C2×#95—791no—
975C2×#95—791no—
976C2×#95—791no—
977C2×#95—791no—
978C2×#95—791no—
979C2×#95—791no—
980C2×#95—791no—
981C2×#95—791no—
982C25—791no—
983C25—791no—
984C22×D4—3162no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—1584no—
989C22×D4—1584no—
990C22×D4C22×D7911yescharacteristic
991C23×C4—3162no—
992C23×C4—791no—
993C23×C4—791no—
994C23×C4—791no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4—791no—
1008C23×C4—1584no—
1009C23×C4—1584no—
1010C23×C4C22×D7911yescharacteristic
1011C2×C4⋊C4—3162no—
1012C2×C4⋊C4—3162no—
1013C2×C4⋊C4—791no—
1014C2×C4⋊C4—791no—
1015C2×C4⋊C4—791no—
1016C2×C4⋊C4—791no—
1017C2×C4⋊C4—791no—
1018C2×C4⋊C4—791no—
1019C2×C4⋊C4—791no—
1020C2×C4⋊C4—791no—
1021C2×C4⋊C4—791no—
1022C2×C4⋊C4—791no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—1584no—
1032C2×C4⋊C4—1584no—
1033C2×C4⋊C4—1584no—
1034C2×C4⋊C4—1584no—
1035C2×C4⋊C4C22×D7911yescharacteristic
1036C2×C4⋊C4C22×D7911yescharacteristic
1037C2×C4⋊C4C22×D7911yescharacteristic
1038C2×C4⋊C4C22×D7911yescharacteristic
1039C2×C4⋊C4C22×D7911yescharacteristic
1040C2×C4⋊C4C22×D7911yescharacteristic
1041C2×C22⋊C4—3162no—
1042C2×C22⋊C4—3162no—
1043C2×C22⋊C4—3162no—
1044C2×C22⋊C4—3162no—
1045C2×C22⋊C4—3162no—
1046C2×C22⋊C4—791no—
1047C2×C22⋊C4—791no—
1048C2×C22⋊C4—791no—
1049C2×C22⋊C4—791no—
1050C2×C22⋊C4—791no—
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—1584no—
1080C2×C22⋊C4—1584no—
1081C2×C22⋊C4—1584no—
1082C2×C22⋊C4—1584no—
1083C2×C22⋊C4—1584no—
1084C2×C22⋊C4—1584no—
1085C2×C22⋊C4C22×D7911yescharacteristic
1086C2×C22⋊C4C22×D7911yescharacteristic
1087C2×C22⋊C4C22×D7911yescharacteristic
1088C2×C22⋊C4C22×D7911yescharacteristic
1089C2×C22⋊C4C22×D7911yescharacteristic
1090C2×C22⋊C4C22×D7911yescharacteristic
1091C2×C22⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4C22×D7911yescharacteristic
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C42—3162no—
1097C2×C42—3162no—
1098C2×C42—3162no—
1099C2×C42—791no—
1100C2×C42—791no—
1101C2×C42—791no—
1102C2×C42—791no—
1103C2×C42—791no—
1104C2×C42—791no—
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—1584no—
1112C2×C42C22×D7911yescharacteristic
1113C2×C42C22×D7911yescharacteristic
1114C2×C42C22×D7911yescharacteristic
1115C2×C42C22×D7911yescharacteristic
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158#95C22×D7911yescharacteristic
1159#95C22×D7911yescharacteristic
1160#95C22×D7911yescharacteristic
1161#95C22×D7911yescharacteristic
1162#95C22×D7911yescharacteristic
1163#95C22×D7911yescharacteristic
1164C24—791no—
1165C24—794no—
1166C24—791no—
1167C24—791no—
1168C24—1582no—
1169C24—1582no—
1170C24—1582no—
1171C24—1582no—
1172C24—1582no—
1173C24—1582no—
1174C24—1582no—
1175C24—1582no—
1176C24—1582no—
1177C24—1582no—
1178C24—1582no—
1179C24—1582no—
1180C24—1582no—
1181C24C23×D7911yescharacteristic
1182C24C23×D7911yescharacteristic
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—3161no—
1187C2×D4—31616no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—1582no—
1191C2×D4—1582no—
1192C2×D4—1582no—
1193C2×D4—1582no—
1194C2×D4—1582no—
1195C2×D4—1582no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—3161no—
1200C22×C4—3161no—
1201C22×C4—31616no—
1202C22×C4—3161no—
1203C22×C4—791no—
1204C22×C4—791no—
1205C22×C4—791no—
1206C22×C4—791no—
1207C22×C4—794no—
1208C22×C4—794no—
1209C22×C4—794no—
1210C22×C4—794no—
1211C22×C4—791no—
1212C22×C4—791no—
1213C22×C4—791no—
1214C22×C4—791no—
1215C22×C4—791no—
1216C22×C4—791no—
1217C22×C4—791no—
1218C22×C4—791no—
1219C22×C4—791no—
1220C22×C4—1582no—
1221C22×C4—1582no—
1222C22×C4—1582no—
1223C22×C4—1582no—
1224C22×C4—1582no—
1225C22×C4—1582no—
1226C22×C4—1582no—
1227C22×C4—1582no—
1228C22×C4—1582no—
1229C22×C4—1582no—
1230C22×C4—1582no—
1231C22×C4—1582no—
1232C22×C4—1582no—
1233C22×C4—1582no—
1234C22×C4—1582no—
1235C22×C4—1582no—
1236C22×C4—1582no—
1237C22×C4—1582no—
1238C22×C4—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4—1582no—
1245C22×C4—1582no—
1246C22×C4—1582no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4—1582no—
1255C22×C4—1582no—
1256C22×C4—1582no—
1257C22×C4—1582no—
1258C22×C4—1582no—
1259C22×C4—1582no—
1260C22×C4—1582no—
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7911yescharacteristic
1273C22×C4C23×D7911yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—1582no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C4⋊C4—1582no—
1291C4⋊C4—1582no—
1292C4⋊C4—1582no—
1293C4⋊C4—1582no—
1294C4⋊C4—1582no—
1295C4⋊C4—1582no—
1296C4⋊C4—1582no—
1297C4⋊C4—1582no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—3161no—
1310C22⋊C4—3161no—
1311C22⋊C4—3161no—
1312C22⋊C4—3161no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—1582no—
1325C22⋊C4—1582no—
1326C22⋊C4—1582no—
1327C22⋊C4—1582no—
1328C22⋊C4—1582no—
1329C22⋊C4—1582no—
1330C22⋊C4—1582no—
1331C22⋊C4—1582no—
1332C22⋊C4—1582no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C42—22no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—3161no—
1352C42—3161no—
1353C42—3161no—
1354C42—3161no—
1355C42—1582no—
1356C42—1582no—
1357C42—1582no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—3164no—
1372C23—3164no—
1373C23—3164no—
1374C23—3164no—
1375C23—3164no—
1376C23—3164no—
1377C23—3164no—
1378C23—3164no—
1379C23—3164no—
1380C23—3164no—
1381C23—3164no—
1382C23—792no—
1383C23—792no—
1384C23—792no—
1385C23—792no—
1386C23—792no—
1387C23—792no—
1388C23—792no—
1389C23—792no—
1390C23—1588no—
1391C23—1588no—
1392C23—1588no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23—1581no—
1404C23—1581no—
1405C23—1581no—
1406C23#41×D7912yes—
1407C23C24×D7911yescharacteristic
1408D4—44no—
1409D4—3164no—
1410D4—3164no—
1411D4—3164no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—3164no—
1449C2×C4—3164no—
1450C2×C4—3164no—
1451C2×C4—3164no—
1452C2×C4—3164no—
1453C2×C4—3164no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—792no—
1461C2×C4—792no—
1462C2×C4—792no—
1463C2×C4—792no—
1464C2×C4—1588no—
1465C2×C4—1588no—
1466C2×C4—1588no—
1467C2×C4—1588no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4#41×D7912yes—
1504C2×C4#41×D7912yes—
1505C2×C4#41×D7912yes—
1506C2×C4#41×D7912yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—31616no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—794no—
1534C22—794no—
1535C22—794no—
1536C22—794no—
1537C22—794no—
1538C22—794no—
1539C22—794no—
1540C22—6328no—
1541C22—1582no—
1542C22—1582no—
1543C22—1582no—
1544C22C2×#41×D7911yescharacteristic
1545C22C2×#41×D7911yescharacteristic
1546C22C2×#41×D7911yescharacteristic
1547C22C2×#41×D7911yescharacteristic
1548C22C2×#41×D7911yescharacteristic
1549C22H(5,𝔽2)×D7911yescharacteristic
1550C22H(5,𝔽2)×D7911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—1582no—
1574C4—1582no—
1575C4—1582no—
1576C4—1582no—
1577C2—42no—
1578C2—81no—
1579C2—3162no—
1580C2—798no—
1581C2—6321no—
1582C2#529×D7911yescharacteristic
1583C2#529×D7911yescharacteristic
1584C2#540×D7911yescharacteristic
1585C2#551×D7911yescharacteristic
1586C2#551×D7911yescharacteristic
1587C2#553×D7911yescharacteristic
1588C2#559×D7911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2516C2
prime radicalC22×D4×D79C22
hypercenter#2516D79
hypocenterC79C2×#2516
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2516

Complements

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

NH ≅ G/Ntype
1. #23768041C2semidirect
2. #23768040C2semidirect
3. #23768039C2semidirect
4. #23768038C2semidirect
5. #23768037C2semidirect
6. #23768036C2semidirect
7. #23768035C2semidirect
8. #23768034C2semidirect
9. #23768033C2semidirect
10. #23768032C2semidirect
11. #23768031C2semidirect
12. #23768030C2semidirect
13. #23768029C2semidirect
14. #23768028C2semidirect
15. #23768027C2semidirect
16. #400×D79C2semidirect
17. #399×D79C2semidirect
18. #397×D79C2semidirect
21. #388×D79C2semidirect
22. #388×D79C2semidirect
23. #388×D79C2semidirect
24. #388×D79C2semidirect
25. #387×D79C2semidirect
26. #387×D79C2semidirect
28. #381×D79C2semidirect
29. C4×C4⋊C4×D79C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2516C2semidirect
55. #19098505C22semidirect
56. #19098505C22semidirect
57. #19098504C22semidirect
58. #19098504C22semidirect
59. #19098503C22semidirect
60. #19098502C22semidirect
61. #19098501C22semidirect
62. #19098500C22semidirect
63. #19098499C22semidirect
64. #19098499C22semidirect
65. #19098499C22semidirect
66. #19098498C22semidirect
67. #19098498C22semidirect
68. #19098498C22semidirect
69. #19098492C22semidirect
70. #19098492C22semidirect
71. #19098491C22semidirect
72. #19098491C22semidirect
73. #19098490C22semidirect
74. #19098489C22semidirect
75. #19098488C22semidirect
90. #19098457C22semidirect
91. #19098457C22semidirect
92. #19098457C22semidirect
93. #19098457C22semidirect
94. #19098456C22semidirect
95. #19098456C22semidirect
96. #19098456C22semidirect
97. #19098456C22semidirect
98. #19098455C22semidirect
99. #19098455C22semidirect
100. #19098455C22semidirect
101. #19098455C22semidirect
102. #19098454C22semidirect
103. #19098454C22semidirect
104. #19098454C22semidirect
105. #19098454C22semidirect
106. #19098453C22semidirect
107. #19098453C22semidirect
108. #19098453C22semidirect
109. #19098453C22semidirect
110. #19098452C22semidirect
111. #19098452C22semidirect
112. #19098452C22semidirect
113. #19098452C22semidirect
114. #19098451C22semidirect
115. #19098451C22semidirect
116. #19098451C22semidirect
117. #19098451C22semidirect
118. #19098450C22semidirect
119. #19098450C22semidirect
120. #19098449C22semidirect
121. #19098449C22semidirect
122. #19098448C22semidirect
123. #19098448C22semidirect
124. #19098447C22semidirect
125. #19098447C22semidirect
126. #19098446C22semidirect
127. #19098446C22semidirect
128. #19098445C22semidirect
129. #19098445C22semidirect
130. #19098444C22semidirect
131. #19098444C22semidirect
139. #19098426C22semidirect
140. #19098425C22semidirect
141. #19098425C22semidirect
142. #19098425C22semidirect
143. #19098425C22semidirect
144. #19098424C22semidirect
145. #19098424C22semidirect
146. C4⋊C4×Dic79C22semidirect
147. C4⋊C4×Dic79C22semidirect
148. C4×Dic79⋊C4C22semidirect
149. C4×Dic79⋊C4C22semidirect
150. C4×C4⋊Dic79C22semidirect
151. #19098414C22semidirect
152. #19098414C22semidirect
153. C22⋊C4×Dic79C22semidirect
154. C22⋊C4×Dic79C22semidirect
155. C4×(C2×D79)⋊C4C22semidirect
156. C4×(C2×D79)⋊C4C22semidirect
157. C4×C22⋊Dic79C22semidirect
158. #19098410C22semidirect
159. #19098410C22semidirect
172. #400×C79C22semidirect
173. #399×C79C22semidirect
174. #397×C79C22semidirect
177. #388×C79C22semidirect
178. #388×C79C22semidirect
179. #388×C79C22semidirect
180. #388×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
184. #381×C79C22semidirect
185. C4×C4⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
794. D79#2516direct (N × H)
810. #2516D79direct (N × H)
826. C79C2×#2516semidirect
857. #400C2×D79semidirect
865. #399C2×D79semidirect
873. #397C2×D79semidirect
918. #388C2×D79semidirect
919. #388C2×D79semidirect
920. #388C2×D79semidirect
921. #388C2×D79semidirect
936. #387C2×D79semidirect
937. #387C2×D79semidirect
953. #381C2×D79semidirect
961. C4×C4⋊C4C2×D79semidirect
969. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237680412
#237680402
#237680392
#237680382
#237680372
#237680362
#237680352
#237680342
#237680332
#237680322
#237680312
#237680302
#237680292
#237680282
#237680272
#400×D792
#399×D792
#397×D792
#394×D792
#390×D792
#388×D792
#387×D792
#386×D792
#381×D792
C4×C4⋊C4×D792
C4×C22⋊C4×D792
C79×#25162
C2×#251679