Finite Group Databasebeta

← #2576×D79 #34458716

Subgroups — #2576×D79 #34458716

Order 20224.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23768711C211yesmaximal, characteristic, complemented
2#23768710C211yesmaximal, characteristic, complemented
3#23768709C211yesmaximal, characteristic, complemented
4#23768708C211yesmaximal, characteristic, complemented
5#23768707C211yesmaximal, characteristic, complemented
6#23768706C211yesmaximal, characteristic, complemented
7#23768705C211yesmaximal, characteristic, complemented
8#23768704C211yesmaximal, characteristic, complemented
9#23768703C211yesmaximal, characteristic, complemented
10#23768702C211yesmaximal, characteristic, complemented
11#23768701C211yesmaximal, characteristic, complemented
12#23768700C211yesmaximal, characteristic, complemented
13#23768699C211yesmaximal, characteristic, complemented
14#23768698C211yesmaximal, characteristic, complemented
15#23768697C211yesmaximal, characteristic, complemented
16#401×D79C211yesmaximal, characteristic, complemented
17#397×D79C211yesmaximal, characteristic, complemented
18#396×D79C211yesmaximal, characteristic, complemented
19#394×D79C211yesmaximal, characteristic
20#388×D79C211yesmaximal, characteristic, complemented
21#388×D79C211yesmaximal, characteristic, complemented
22#387×D79C211yesmaximal, characteristic, complemented
23#387×D79C211yesmaximal, characteristic, complemented
24#386×D79C211yesmaximal, characteristic
25#386×D79C211yesmaximal, characteristic
26#385×D79C211yesmaximal, characteristic, complemented
27#382×D79C211yesmaximal, characteristic, complemented
28#381×D79C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2576C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C23×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×C42×D79C2211yescharacteristic
51C2×C42×D79C2211yescharacteristic
52C2×C42×D79C2211yescharacteristic
53C79⋊#401C2211yescharacteristic, complemented
54C79⋊#401C2211yescharacteristic, complemented
55C79⋊#401C2211yescharacteristic, complemented
56C79⋊#401C2211yescharacteristic, complemented
57C79⋊#401C2211yescharacteristic, complemented
58C79⋊#401C2211yescharacteristic, complemented
59C79⋊#401C2211yescharacteristic, complemented
60#19098492C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098491C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098490C2211yescharacteristic, complemented
65#19098489C2211yescharacteristic, complemented
66#19098488C2211yescharacteristic, complemented
67#19098487C2211yescharacteristic, complemented
68#19098486C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic, complemented
72#19098485C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098481C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098478C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098477C2211yescharacteristic
81#19098457C2211yescharacteristic, complemented
82#19098457C2211yescharacteristic, complemented
83#19098456C2211yescharacteristic, complemented
84#19098456C2211yescharacteristic, complemented
85#19098455C2211yescharacteristic, complemented
86#19098455C2211yescharacteristic, complemented
87#19098454C2211yescharacteristic, complemented
88#19098454C2211yescharacteristic, complemented
89#19098453C2211yescharacteristic, complemented
90#19098453C2211yescharacteristic, complemented
91#19098452C2211yescharacteristic, complemented
92#19098452C2211yescharacteristic, complemented
93#19098451C2211yescharacteristic, complemented
94#19098451C2211yescharacteristic, complemented
95#19098450C2211yescharacteristic, complemented
96#19098450C2211yescharacteristic, complemented
97#19098449C2211yescharacteristic, complemented
98#19098449C2211yescharacteristic, complemented
99#19098448C2211yescharacteristic, complemented
100#19098448C2211yescharacteristic, complemented
101#19098447C2211yescharacteristic, complemented
102#19098447C2211yescharacteristic, complemented
103#19098446C2211yescharacteristic, complemented
104#19098446C2211yescharacteristic, complemented
105#19098445C2211yescharacteristic, complemented
106#19098445C2211yescharacteristic, complemented
107#19098444C2211yescharacteristic, complemented
108#19098444C2211yescharacteristic, complemented
109#19098443C2211yescharacteristic
110#19098443C2211yescharacteristic
111#19098442C2211yescharacteristic
112#19098442C2211yescharacteristic
113#19098441C2211yescharacteristic
114#19098441C2211yescharacteristic
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098440C2211yescharacteristic
118#19098440C2211yescharacteristic
119#19098439C2211yescharacteristic
120#19098439C2211yescharacteristic
121#19098439C2211yescharacteristic
122#19098439C2211yescharacteristic
123#19098438C2211yescharacteristic, complemented
124#19098437C2211yescharacteristic, complemented
125#19098437C2211yescharacteristic, complemented
126#19098436C2211yescharacteristic, complemented
127#19098435C2211yescharacteristic, complemented
128#19098434C2211yescharacteristic, complemented
129#19098434C2211yescharacteristic, complemented
130#19098429C2211yescharacteristic, complemented
131#19098428C2211yescharacteristic, complemented
132#19098428C2211yescharacteristic, complemented
133#19098427C2211yescharacteristic, complemented
134#19098427C2211yescharacteristic, complemented
135#19098427C2211yescharacteristic, complemented
136#19098427C2211yescharacteristic, complemented
137#19098426C2211yescharacteristic, complemented
138#19098425C2211yescharacteristic, complemented
139#19098425C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic, complemented
141#19098425C2211yescharacteristic, complemented
142#19098424C2211yescharacteristic, complemented
143#19098424C2211yescharacteristic, complemented
144C22⋊C4×Dic79C2211yescharacteristic, complemented
145C22⋊C4×Dic79C2211yescharacteristic, complemented
146C22⋊C4×Dic79C2211yescharacteristic, complemented
147C22⋊C4×Dic79C2211yescharacteristic, complemented
148C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
150C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
151C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
152C4×C22⋊Dic79C2211yescharacteristic, complemented
153C4×C22⋊Dic79C2211yescharacteristic, complemented
154#19098410C2211yescharacteristic, complemented
155#19098410C2211yescharacteristic, complemented
156#19098410C2211yescharacteristic, complemented
157#19098410C2211yescharacteristic, complemented
158#95×D79C2211yescharacteristic
159#95×D79C2211yescharacteristic
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#401×C79C2211yescharacteristic, complemented
173#397×C79C2211yescharacteristic, complemented
174#396×C79C2211yescharacteristic, complemented
175#394×C79C2211yescharacteristic
176#388×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#387×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic, complemented
183#382×C79C2211yescharacteristic, complemented
184#381×C79C2211yescharacteristic, complemented
185C4×C22⋊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
196C23×Dic79C2311yescharacteristic
197C22×C4×D79—24no—
198C22×C4×D79—24no—
199C22×C4×D79—24no—
200C22×C4×D79—42no—
201C22×C4×D79—42no—
202C22×C4×D79—42no—
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
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×Dic79⋊C4C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C4⋊C4×D79—24no—
236C4⋊C4×D79—24no—
237C4⋊C4×D79—42no—
238C4⋊C4×D79—42no—
239C4⋊C4×D79—42no—
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×C22⋊Dic79C2311yescharacteristic
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
270C22⋊C4×D79—24no—
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—
280C2×C4×Dic79C2311yescharacteristic
281C2×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C42×D79—24no—
290C42×D79—42no—
291C42×D79—42no—
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
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
336C23×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×C42×C79C2311yescharacteristic
353C2×C42×C79C2311yescharacteristic
354C2×C42×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
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#4114yes—
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—22no—
399C22×Dic79—41no—
400C22×Dic79—41no—
401C22×Dic79—41no—
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2411yescharacteristic
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
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—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—22no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—416no—
464C2×C4×D79—416no—
465C2×C4×D79#4114yes—
466C2×C4×D79#4114yes—
467C2×C4×D79#4114yes—
468C4⋊Dic79—22no—
469C4⋊Dic79—22no—
470C4⋊Dic79—41no—
471C4⋊Dic79—41no—
472C4⋊Dic79—41no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
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—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513C4×Dic79—22no—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C24×C79C2411yescharacteristic
523C24×C79C2411yescharacteristic
524C2×D4×C79—22no—
525C2×D4×C79—22no—
526C2×D4×C79—41no—
527C22×C4×C79—22no—
528C22×C4×C79—22no—
529C22×C4×C79—22no—
530C22×C4×C79—41no—
531C22×C4×C79—41no—
532C22×C4×C79—41no—
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
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C4⋊C4×C79—22no—
547C4⋊C4×C79—22no—
548C4⋊C4×C79—41no—
549C4⋊C4×C79—41no—
550C4⋊C4×C79—41no—
551C22⋊C4×C79—22no—
552C22⋊C4×C79—22no—
553C22⋊C4×C79—22no—
554C22⋊C4×C79—22no—
555C22⋊C4×C79—22no—
556C22⋊C4×C79—22no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—41no—
559C22⋊C4×C79—41no—
560C22⋊C4×C79—41no—
561C42×C79—22no—
562C42×C79—41no—
563C42×C79—41no—
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×C79C2×#4112yes—
578C23×C79C2511yescharacteristic
579C22×D79—21no—
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—21no—
585C22×D79—21no—
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—28no—
592C22×D79—28no—
593C22×D79—28no—
594C22×D79—28no—
595C22×D79—28no—
596C22×D79—28no—
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×D79C2×#4112yes—
612C22×D79H(5,𝔽2)12yes—
613C22×D79H(5,𝔽2)12yes—
614D4×C79—44no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—44no—
652C2×C4×C79—44no—
653C2×C4×C79C2×#4112yes—
654C2×C4×C79C2×#4112yes—
655C2×C4×C79C2×#4112yes—
656C22⋊D79—44no—
657C22⋊D79—44no—
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—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—44no—
695C2×Dic79—44no—
696C2×Dic79C2×#4112yes—
697C2×Dic79C2×#4112yes—
698C2×Dic79C2×#4112yes—
699D316—44no—
700C4×D79—28no—
701C4×D79—28no—
702C4×D79—28no—
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—
712C4×D79—44no—
713C4×D79—44no—
714C4×D79—44no—
715C4×D79—44no—
716C4×D79—44no—
717C22×C79—22no—
718C22×C79—22no—
719C22×C79—22no—
720C22×C79—22no—
721C22×C79—22no—
722C22×C79—22no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79C22×#4111yescharacteristic
732C22×C79C22×#4111yescharacteristic
733C22×C79C22×#4111yescharacteristic
734C22×C79C22×#4111yescharacteristic
735C22×C79C22×#4111yescharacteristic
736C22×C79C2×H(5,𝔽2)11yescharacteristic
737C22×C79C2×H(5,𝔽2)11yescharacteristic
738C2×D79—22no—
739C2×D79—22no—
740C2×D79—22no—
741C2×D79—22no—
742C2×D79—22no—
743C2×D79—22no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—416no—
753C2×D79—416no—
754C2×D79#52914yes—
755C2×D79#52914yes—
756C2×D79#53814yes—
757C2×D79#55114yes—
758C2×D79#55114yes—
759C2×D79#55314yes—
760C2×D79#55314yes—
761C4×C79—22no—
762C4×C79—22no—
763C4×C79—22no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79—41no—
772C4×C79—41no—
773C4×C79—41no—
774Dic79—22no—
775Dic79—22no—
776Dic79—22no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783Dic79—41no—
784Dic79—41no—
785Dic79—41no—
786Dic79—41no—
787C2×#2576—791nomaximal, Sylow
788C2×C79—42no—
789C2×C79—42no—
790C2×C79C2×#52911yescharacteristic
791C2×C79C2×#52911yescharacteristic
792C2×C79C2×#53811yescharacteristic
793C2×C79C2×#55111yescharacteristic
794C2×C79C2×#55111yescharacteristic
795C2×C79C2×#55311yescharacteristic
796C2×C79C2×#55311yescharacteristic
797D79—42no—
798D79—42no—
799D79#257618yesdirect product factor
800#2576—791no—
801#2576—791no—
802#2576—791no—
803#2576—791no—
804#2576—791no—
805#2576—791no—
806#2576—791no—
807#2576—791no—
808#2576—791no—
809#2576—791no—
810#2576—791no—
811#2576—791no—
812#2576—791no—
813#2576—791no—
814#2576—791no—
815#2576D7911yescharacteristic, direct product factor
816C2×#401—791no—
817C2×#397—791no—
818C2×#396—791no—
819C2×#394—791no—
820C2×#388—791no—
821C2×#388—791no—
822C2×#387—791no—
823C2×#387—791no—
824C2×#386—791no—
825C2×#386—791no—
826C2×#385—791no—
827C2×#382—791no—
828C2×#381—791no—
829C2×C4×C22⋊C4—791no—
830C2×C4×C22⋊C4—791no—
831C79C2×#257611yescharacteristic, complemented, Sylow
832C23×D4—791no—
833C24×C4—791no—
834C24×C4—791no—
835C22×C4⋊C4—791no—
836C22×C4⋊C4—791no—
837C22×C4⋊C4—791no—
838C22×C4⋊C4—791no—
839C22×C4⋊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×C22⋊C4—791no—
847C22×C22⋊C4—791no—
848C22×C22⋊C4—791no—
849C22×C22⋊C4—791no—
850C22×C42—791no—
851C22×C42—791no—
852C22×C42—791no—
853#401—791no—
854#401—791no—
855#401—791no—
856#401—791no—
857#401—791no—
858#401—791no—
859#401—791no—
860#401C2×D7911yescharacteristic, complemented
861#397—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397—791no—
867#397—791no—
868#397C2×D7911yescharacteristic, complemented
869#396—791no—
870#396—791no—
871#396—791no—
872#396—791no—
873#396—791no—
874#396—791no—
875#396—791no—
876#396C2×D7911yescharacteristic, complemented
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#394—791no—
884#394C2×D7911yescharacteristic
885#388—791no—
886#388—791no—
887#388—791no—
888#388—791no—
889#388—791no—
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#388C2×D7911yescharacteristic, complemented
900#388C2×D7911yescharacteristic, complemented
901#387—791no—
902#387—791no—
903#387—791no—
904#387—791no—
905#387—791no—
906#387—791no—
907#387—791no—
908#387—791no—
909#387—791no—
910#387—791no—
911#387—791no—
912#387—791no—
913#387—791no—
914#387—791no—
915#387C2×D7911yescharacteristic, complemented
916#387C2×D7911yescharacteristic, complemented
917#386—791no—
918#386—791no—
919#386—791no—
920#386—791no—
921#386—791no—
922#386—791no—
923#386—791no—
924#386—791no—
925#386—791no—
926#386—791no—
927#386—791no—
928#386—791no—
929#386—791no—
930#386—791no—
931#386C2×D7911yescharacteristic
932#386C2×D7911yescharacteristic
933#385—791no—
934#385—791no—
935#385—791no—
936#385—791no—
937#385—791no—
938#385—791no—
939#385—791no—
940#385C2×D7911yescharacteristic, complemented
941#382—791no—
942#382—791no—
943#382—791no—
944#382—791no—
945#382—791no—
946#382—791no—
947#382—791no—
948#382C2×D7911yescharacteristic, complemented
949#381—791no—
950#381—791no—
951#381—791no—
952#381—791no—
953#381—791no—
954#381—791no—
955#381—791no—
956#381C2×D7911yescharacteristic, complemented
957C4×C22⋊C4—791no—
958C4×C22⋊C4—791no—
959C4×C22⋊C4—791no—
960C4×C22⋊C4—791no—
961C4×C22⋊C4—791no—
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⋊C4—791no—
970C4×C22⋊C4—791no—
971C4×C22⋊C4C2×D7911yescharacteristic, complemented
972C4×C22⋊C4C2×D7911yescharacteristic, complemented
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—
982C2×#95—791no—
983C2×#95—791no—
984C2×#95—791no—
985C2×#95—791no—
986C2×#95—791no—
987C25—791no—
988C25—791no—
989C22×D4—3162no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—1584no—
994C22×D4—1584no—
995C22×D4C22×D7911yescharacteristic
996C23×C4—3162no—
997C23×C4—3162no—
998C23×C4—3162no—
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—791no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4—791no—
1012C23×C4—791no—
1013C23×C4—791no—
1014C23×C4—791no—
1015C23×C4—791no—
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—1584no—
1019C23×C4—1584no—
1020C23×C4—1584no—
1021C23×C4C22×D7911yescharacteristic
1022C23×C4C22×D7911yescharacteristic
1023C2×C4⋊C4—3162no—
1024C2×C4⋊C4—3162no—
1025C2×C4⋊C4—3162no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—1584no—
1042C2×C4⋊C4—1584no—
1043C2×C4⋊C4C22×D7911yescharacteristic
1044C2×C4⋊C4C22×D7911yescharacteristic
1045C2×C4⋊C4C22×D7911yescharacteristic
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C4⋊C4C22×D7911yescharacteristic
1048C2×C22⋊C4—3162no—
1049C2×C22⋊C4—3162no—
1050C2×C22⋊C4—3162no—
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—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—1584no—
1082C2×C22⋊C4—1584no—
1083C2×C22⋊C4—1584no—
1084C2×C22⋊C4—1584no—
1085C2×C22⋊C4—1584no—
1086C2×C22⋊C4—1584no—
1087C2×C22⋊C4—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C42—3162no—
1099C2×C42—3162no—
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—1584no—
1110C2×C42C22×D7911yescharacteristic
1111C2×C42C22×D7911yescharacteristic
1112C2×C42C22×D7911yescharacteristic
1113#95—791no—
1114#95—791no—
1115#95—791no—
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#95—791no—
1153#95—791no—
1154#95—791no—
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
1164#95C22×D7911yescharacteristic
1165#95C22×D7911yescharacteristic
1166#95C22×D7911yescharacteristic
1167#95C22×D7911yescharacteristic
1168#95C22×D7911yescharacteristic
1169C24—791no—
1170C24—794no—
1171C24—794no—
1172C24—791no—
1173C24—791no—
1174C24—1582no—
1175C24—1582no—
1176C24—1582no—
1177C24—1582no—
1178C24—1582no—
1179C24—1582no—
1180C24—1582no—
1181C24—1582no—
1182C24—1582no—
1183C24—1582no—
1184C24—1582no—
1185C24—1582no—
1186C24C23×D7911yescharacteristic
1187C24C23×D7911yescharacteristic
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—41no—
1191C2×D4—3161no—
1192C2×D4—31616no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—1582no—
1196C2×D4—1582no—
1197C2×D4—1582no—
1198C2×D4—1582no—
1199C2×D4—1582no—
1200C2×D4—1582no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—3161no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—31616no—
1214C22×C4—31616no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—791no—
1219C22×C4—791no—
1220C22×C4—791no—
1221C22×C4—794no—
1222C22×C4—794no—
1223C22×C4—794no—
1224C22×C4—791no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
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×C4—1582no—
1262C22×C4—1582no—
1263C22×C4—1582no—
1264C22×C4—1582no—
1265C22×C4—1582no—
1266C22×C4—1582no—
1267C22×C4—1582no—
1268C22×C4—1582no—
1269C22×C4—1582no—
1270C22×C4—1582no—
1271C22×C4—1582no—
1272C22×C4—1582no—
1273C22×C4—1582no—
1274C22×C4—1582no—
1275C22×C4—1582no—
1276C22×C4—1582no—
1277C22×C4—1582no—
1278C22×C4—1582no—
1279C22×C4C23×D7911yescharacteristic
1280C22×C4C23×D7911yescharacteristic
1281C22×C4C23×D7911yescharacteristic
1282C22×C4C23×D7911yescharacteristic
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—3161no—
1298C4⋊C4—3161no—
1299C4⋊C4—3161no—
1300C4⋊C4—3161no—
1301C4⋊C4—3161no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—1582no—
1307C4⋊C4—1582no—
1308C4⋊C4—1582no—
1309C4⋊C4—1582no—
1310C4⋊C4—1582no—
1311C4⋊C4—1582no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
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—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C22⋊C4—1582no—
1345C22⋊C4—1582no—
1346C22⋊C4—1582no—
1347C22⋊C4—1582no—
1348C22⋊C4—1582no—
1349C22⋊C4—1582no—
1350C22⋊C4—1582no—
1351C22⋊C4—1582no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—3161no—
1356C42—3161no—
1357C42—3161no—
1358C42—3161no—
1359C42—3161no—
1360C42—3161no—
1361C42—1582no—
1362C42—1582no—
1363C42—1582no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—3164no—
1377C23—3164no—
1378C23—3164no—
1379C23—3164no—
1380C23—3164no—
1381C23—3164no—
1382C23—3164no—
1383C23—3164no—
1384C23—792no—
1385C23—792no—
1386C23—792no—
1387C23—792no—
1388C23—792no—
1389C23—792no—
1390C23—792no—
1391C23—792no—
1392C23—792no—
1393C23—1588no—
1394C23—1588no—
1395C23—1588no—
1396C23—1588no—
1397C23—1588no—
1398C23—1588no—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23—1581no—
1404C23—1581no—
1405C23—1581no—
1406C23—1581no—
1407C23—1581no—
1408C23—1581no—
1409C23—1581no—
1410C23—1581no—
1411C23#41×D7912yes—
1412C23#41×D7912yes—
1413C23C24×D7911yescharacteristic
1414D4—44no—
1415D4—3164no—
1416D4—3164no—
1417D4—3164no—
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—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—3164no—
1461C2×C4—3164no—
1462C2×C4—3164no—
1463C2×C4—3164no—
1464C2×C4—3164no—
1465C2×C4—3164no—
1466C2×C4—3164no—
1467C2×C4—3164no—
1468C2×C4—3164no—
1469C2×C4—3164no—
1470C2×C4—3164no—
1471C2×C4—3164no—
1472C2×C4—792no—
1473C2×C4—792no—
1474C2×C4—792no—
1475C2×C4—1588no—
1476C2×C4—1588no—
1477C2×C4—1588no—
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—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4#41×D7912yes—
1515C2×C4#41×D7912yes—
1516C2×C4#41×D7912yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—31616no—
1532C22—31616no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—3161no—
1540C22—3161no—
1541C22—794no—
1542C22—794no—
1543C22—794no—
1544C22—794no—
1545C22—794no—
1546C22—794no—
1547C22—794no—
1548C22—1582no—
1549C22—1582no—
1550C22—1582no—
1551C22—1582no—
1552C22—1582no—
1553C22—1582no—
1554C22C2×#41×D7911yescharacteristic
1555C22C2×#41×D7911yescharacteristic
1556C22C2×#41×D7911yescharacteristic
1557C22C2×#41×D7911yescharacteristic
1558C22C2×#41×D7911yescharacteristic
1559C22H(5,𝔽2)×D7911yescharacteristic
1560C22H(5,𝔽2)×D7911yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—3161no—
1575C4—3161no—
1576C4—3161no—
1577C4—3161no—
1578C4—3161no—
1579C4—3161no—
1580C4—3161no—
1581C4—3161no—
1582C4—3161no—
1583C4—3161no—
1584C4—1582no—
1585C4—1582no—
1586C4—1582no—
1587C2—42no—
1588C2—42no—
1589C2—3162no—
1590C2—3162no—
1591C2—798no—
1592C2#529×D7911yescharacteristic
1593C2#529×D7911yescharacteristic
1594C2#538×D7911yescharacteristic
1595C2#551×D7911yescharacteristic
1596C2#551×D7911yescharacteristic
1597C2#553×D7911yescharacteristic
1598C2#553×D7911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2576C2
prime radicalC22×D4×D79C22
hypercenter#2576D79
hypocenterC79C2×#2576
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
1. #23768711C2semidirect
2. #23768710C2semidirect
3. #23768709C2semidirect
4. #23768708C2semidirect
5. #23768707C2semidirect
6. #23768706C2semidirect
7. #23768705C2semidirect
8. #23768704C2semidirect
9. #23768703C2semidirect
10. #23768702C2semidirect
11. #23768701C2semidirect
12. #23768700C2semidirect
13. #23768699C2semidirect
14. #23768698C2semidirect
15. #23768697C2semidirect
16. #401×D79C2semidirect
17. #397×D79C2semidirect
18. #396×D79C2semidirect
20. #388×D79C2semidirect
21. #388×D79C2semidirect
22. #387×D79C2semidirect
23. #387×D79C2semidirect
26. #385×D79C2semidirect
27. #382×D79C2semidirect
28. #381×D79C2semidirect
29. C4×C22⋊C4×D79C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2576C2semidirect
53. C79⋊#401C22semidirect
54. C79⋊#401C22semidirect
55. C79⋊#401C22semidirect
56. C79⋊#401C22semidirect
57. C79⋊#401C22semidirect
58. C79⋊#401C22semidirect
59. C79⋊#401C22semidirect
60. #19098492C22semidirect
61. #19098492C22semidirect
62. #19098491C22semidirect
63. #19098491C22semidirect
64. #19098490C22semidirect
65. #19098489C22semidirect
66. #19098488C22semidirect
67. #19098487C22semidirect
68. #19098486C22semidirect
69. #19098486C22semidirect
70. #19098486C22semidirect
71. #19098485C22semidirect
72. #19098485C22semidirect
73. #19098485C22semidirect
81. #19098457C22semidirect
82. #19098457C22semidirect
83. #19098456C22semidirect
84. #19098456C22semidirect
85. #19098455C22semidirect
86. #19098455C22semidirect
87. #19098454C22semidirect
88. #19098454C22semidirect
89. #19098453C22semidirect
90. #19098453C22semidirect
91. #19098452C22semidirect
92. #19098452C22semidirect
93. #19098451C22semidirect
94. #19098451C22semidirect
95. #19098450C22semidirect
96. #19098450C22semidirect
97. #19098449C22semidirect
98. #19098449C22semidirect
99. #19098448C22semidirect
100. #19098448C22semidirect
101. #19098447C22semidirect
102. #19098447C22semidirect
103. #19098446C22semidirect
104. #19098446C22semidirect
105. #19098445C22semidirect
106. #19098445C22semidirect
107. #19098444C22semidirect
108. #19098444C22semidirect
123. #19098438C22semidirect
124. #19098437C22semidirect
125. #19098437C22semidirect
126. #19098436C22semidirect
127. #19098435C22semidirect
128. #19098434C22semidirect
129. #19098434C22semidirect
130. #19098429C22semidirect
131. #19098428C22semidirect
132. #19098428C22semidirect
133. #19098427C22semidirect
134. #19098427C22semidirect
135. #19098427C22semidirect
136. #19098427C22semidirect
137. #19098426C22semidirect
138. #19098425C22semidirect
139. #19098425C22semidirect
140. #19098425C22semidirect
141. #19098425C22semidirect
142. #19098424C22semidirect
143. #19098424C22semidirect
144. C22⋊C4×Dic79C22semidirect
145. C22⋊C4×Dic79C22semidirect
146. C22⋊C4×Dic79C22semidirect
147. C22⋊C4×Dic79C22semidirect
148. C4×(C2×D79)⋊C4C22semidirect
149. C4×(C2×D79)⋊C4C22semidirect
150. C4×(C2×D79)⋊C4C22semidirect
151. C4×(C2×D79)⋊C4C22semidirect
152. C4×C22⋊Dic79C22semidirect
153. C4×C22⋊Dic79C22semidirect
154. #19098410C22semidirect
155. #19098410C22semidirect
156. #19098410C22semidirect
157. #19098410C22semidirect
172. #401×C79C22semidirect
173. #397×C79C22semidirect
174. #396×C79C22semidirect
176. #388×C79C22semidirect
177. #388×C79C22semidirect
178. #387×C79C22semidirect
179. #387×C79C22semidirect
182. #385×C79C22semidirect
183. #382×C79C22semidirect
184. #381×C79C22semidirect
185. C4×C22⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
799. D79#2576direct (N × H)
815. #2576D79direct (N × H)
831. C79C2×#2576semidirect
860. #401C2×D79semidirect
868. #397C2×D79semidirect
876. #396C2×D79semidirect
899. #388C2×D79semidirect
900. #388C2×D79semidirect
915. #387C2×D79semidirect
916. #387C2×D79semidirect
940. #385C2×D79semidirect
948. #382C2×D79semidirect
956. #381C2×D79semidirect
971. C4×C22⋊C4C2×D79semidirect
972. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237687112
#237687102
#237687092
#237687082
#237687072
#237687062
#237687052
#237687042
#237687032
#237687022
#237687012
#237687002
#237686992
#237686982
#237686972
#401×D792
#397×D792
#396×D792
#394×D792
#388×D792
#387×D792
#386×D792
#385×D792
#382×D792
#381×D792
C4×C22⋊C4×D792
C79×#25762
C2×#257679