Finite Group Databasebeta

← #34454797

Subgroups — #34454797

Order 20224.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23769469C211yesmaximal, characteristic, complemented
2#23769450C211yesmaximal, characteristic, complemented
3#23769444C211yesmaximal, characteristic, complemented
4#23769407C211yesmaximal, characteristic, complemented
5#23769397C211yesmaximal, characteristic, complemented
6#23769388C211yesmaximal, characteristic, complemented
7#23769386C211yesmaximal, characteristic, complemented
8#23769369C211yesmaximal, characteristic, complemented
9#23769358C211yesmaximal, characteristic, complemented
10#23769352C211yesmaximal, characteristic, complemented
11#23769329C211yesmaximal, characteristic, complemented
12#23769204C211yesmaximal, characteristic, complemented
13#23769174C211yesmaximal, characteristic, complemented
14#23769172C211yesmaximal, characteristic, complemented
15#23769139C211yesmaximal, characteristic
16#23766703C211yesmaximal, characteristic, complemented
17#23766697C211yesmaximal, characteristic, complemented
18#23766682C211yesmaximal, characteristic, complemented
19#23766682C211yesmaximal, characteristic, complemented
20#23766664C211yesmaximal, characteristic, complemented
21#23766656C211yesmaximal, characteristic, complemented
22#23766639C211yesmaximal, characteristic, complemented
23#23766637C211yesmaximal, characteristic, complemented
24#23765938C211yesmaximal, characteristic, complemented
25#23765912C211yesmaximal, characteristic, complemented
26#23765905C211yesmaximal, characteristic, complemented
27#23765901C211yesmaximal, characteristic, complemented
28#23765842C211yesmaximal, characteristic, complemented
29#23765838C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2653C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579137C2211yescharacteristic
34C2×#14579134C2211yescharacteristic
35C2×#14579131C2211yescharacteristic
36C2×#14579129C2211yescharacteristic
37C2×Q8×Dic79C2211yescharacteristic, complemented
38C2×D4×Dic79C2211yescharacteristic
39C2×#14579123C2211yescharacteristic
40C2×#14579123C2211yescharacteristic
41C2×(C22⋊D79)⋊C4C2211yescharacteristic
42C2×(C22⋊D79)⋊C4C2211yescharacteristic
43C2×(C22⋊D79)⋊C4C2211yescharacteristic
44C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
45C2×#14579119C2211yescharacteristic, complemented
46C2×#14579117C2211yescharacteristic, complemented
47C2×C22⋊C4×D79C2211yescharacteristic
48C2×C22⋊C4×D79C2211yescharacteristic
49C2×C42×D79C2211yescharacteristic
50C2×C42×D79C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098505C2211yescharacteristic, complemented
56#19098505C2211yescharacteristic, complemented
57#19098505C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098504C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098504C2211yescharacteristic, complemented
62#19098502C2211yescharacteristic, complemented
63#19098501C2211yescharacteristic, complemented
64#19098500C2211yescharacteristic
65#19098499C2211yescharacteristic
66#19098496C2211yescharacteristic, complemented
67#19098494C2211yescharacteristic, complemented
68#19098493C2211yescharacteristic, complemented
69#19098492C2211yescharacteristic
70#19098492C2211yescharacteristic
71#19098492C2211yescharacteristic
72#19098491C2211yescharacteristic
73#19098491C2211yescharacteristic
74#19098491C2211yescharacteristic
75#19098491C2211yescharacteristic, complemented
76#19098490C2211yescharacteristic
77#19098490C2211yescharacteristic, complemented
78#19098490C2211yescharacteristic, complemented
79#19098490C2211yescharacteristic, complemented
80#19098490C2211yescharacteristic, complemented
81#19098489C2211yescharacteristic
82#19098488C2211yescharacteristic
83#19098488C2211yescharacteristic, complemented
84#19098488C2211yescharacteristic, complemented
85#19098487C2211yescharacteristic
86#19098487C2211yescharacteristic
87#19098487C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic
89#19098486C2211yescharacteristic
90#19098486C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098480C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic, complemented
101#19098478C2211yescharacteristic, complemented
102#19098477C2211yescharacteristic
103#19098474C2211yescharacteristic
104#19098474C2211yescharacteristic, complemented
105#19098472C2211yescharacteristic
106#19098471C2211yescharacteristic
107#19098463C2211yescharacteristic, complemented
108#19098461C2211yescharacteristic, complemented
109#19098458C2211yescharacteristic, complemented
110#19098456C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic, complemented
112#19098454C2211yescharacteristic, complemented
113#19098452C2211yescharacteristic, complemented
114#19098450C2211yescharacteristic, complemented
115#19098450C2211yescharacteristic, complemented
116#19098449C2211yescharacteristic, complemented
117#19098447C2211yescharacteristic, complemented
118#19098445C2211yescharacteristic, complemented
119#19098442C2211yescharacteristic
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098439C2211yescharacteristic
126#19098439C2211yescharacteristic
127#19098439C2211yescharacteristic
128#19098439C2211yescharacteristic
129#19098439C2211yescharacteristic
130#19098437C2211yescharacteristic
131#19098437C2211yescharacteristic
132#19098437C2211yescharacteristic
133#19098437C2211yescharacteristic
134#19098437C2211yescharacteristic
135#19098437C2211yescharacteristic
136#19098436C2211yescharacteristic
137#19098434C2211yescharacteristic
138#19098434C2211yescharacteristic
139#19098434C2211yescharacteristic
140#19098434C2211yescharacteristic
141#19098422C2211yescharacteristic
142#19098420C2211yescharacteristic
143#19098418C2211yescharacteristic
144#19098418C2211yescharacteristic
145C4⋊C4×Dic79C2211yescharacteristic, complemented
146C4⋊C4×Dic79C2211yescharacteristic, complemented
147#19098414C2211yescharacteristic, complemented
148#19098414C2211yescharacteristic, complemented
149#19098414C2211yescharacteristic, complemented
150#19098414C2211yescharacteristic, complemented
151C22⋊C4×Dic79C2211yescharacteristic
152C22⋊C4×Dic79C2211yescharacteristic
153C22⋊C4×Dic79C2211yescharacteristic
154C22⋊C4×Dic79C2211yescharacteristic
155C22⋊C4×Dic79C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C4×(C2×D79)⋊C4C2211yescharacteristic
158C4×(C2×D79)⋊C4C2211yescharacteristic
159C4×C22⋊Dic79C2211yescharacteristic
160#19098410C2211yescharacteristic
161#19098410C2211yescharacteristic
162#19098410C2211yescharacteristic
163#19098410C2211yescharacteristic
164#19098410C2211yescharacteristic
165#19098410C2211yescharacteristic
166#19098410C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098408C2211yescharacteristic, complemented
169#19098408C2211yescharacteristic, complemented
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#401×C79C2211yescharacteristic, complemented
173#398×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic
175#397×C79C2211yescharacteristic, complemented
176#394×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#393×C79C2211yescharacteristic
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C23×Dic79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C22×C4×D79—24no—
197C22×C4×D79—42no—
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
208#14579137—24no—
209#14579134—24no—
210#14579131—24no—
211#14579129—24no—
212Q8×Dic79—42no—
213D4×Dic79—42no—
214#14579123—24no—
215#14579123—42no—
216(C22⋊D79)⋊C4—24no—
217(C22⋊D79)⋊C4—42no—
218(C22⋊D79)⋊C4—42no—
219(C22⋊D79)⋊C4—42no—
220#14579119—42no—
221#14579117—42no—
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
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
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C22⋊C4×D79—24no—
279C22⋊C4×D79—24no—
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
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C42×D79—42no—
293C42×D79—42no—
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
328C22×Q8×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C2×C4⋊C4×C79C2311yescharacteristic
332C2×C4⋊C4×C79C2311yescharacteristic
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C22⋊C4×C79C2311yescharacteristic
337C2×C22⋊C4×C79C2311yescharacteristic
338C2×C22⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C42×C79C2311yescharacteristic
348C2×C42×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
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—41no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79#4114yes—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C23×D79C2411yescharacteristic
373C2×D316—22no—
374C2×D316—22no—
375C2×D316—22no—
376C2×D316—22no—
377C2×D316—41no—
378C2×D316—41no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C22×Dic79—22no—
392C22×Dic79—22no—
393C22×Dic79—22no—
394C22×Dic79—22no—
395C22×Dic79—22no—
396C22×Dic79—22no—
397C22×Dic79C2411yescharacteristic
398C22×Dic79C2411yescharacteristic
399C22×Dic79C2411yescharacteristic
400C22×Dic79C2411yescharacteristic
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2411yescharacteristic
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C2×C4×D79—22no—
411C2×C4×D79—22no—
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—41no—
424C2×C4×D79—41no—
425C2×C4×D79—41no—
426C2×C4×D79—41no—
427C2×C4×D79—41no—
428C2×C4×D79—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—416no—
436C2×C4×D79#4114yes—
437C2×C4×D79#4114yes—
438C4⋊Dic79—22no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443C4⋊Dic79—41no—
444C4⋊Dic79—41no—
445Dic79⋊C4—22no—
446Dic79⋊C4—22no—
447Dic79⋊C4—22no—
448Dic79⋊C4—22no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468(C2×D79)⋊C4—22no—
469(C2×D79)⋊C4—22no—
470(C2×D79)⋊C4—22no—
471(C2×D79)⋊C4—22no—
472(C2×D79)⋊C4—22no—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—22no—
477(C2×D79)⋊C4—22no—
478(C2×D79)⋊C4—22no—
479(C2×D79)⋊C4—22no—
480(C2×D79)⋊C4—22no—
481(C2×D79)⋊C4—22no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494C4×Dic79—22no—
495C4×Dic79—22no—
496C4×Dic79—22no—
497C4×Dic79—22no—
498C4×Dic79—22no—
499C4×Dic79—22no—
500C4×Dic79—22no—
501C4×Dic79—22no—
502C4×Dic79—22no—
503C4×Dic79—22no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C24×C79C2411yescharacteristic
507C24×C79C2411yescharacteristic
508C2×Q8×C79—22no—
509C2×Q8×C79—41no—
510C2×Q8×C79—41no—
511C2×D4×C79—22no—
512C2×D4×C79—41no—
513C2×D4×C79—41no—
514C22×C4×C79—22no—
515C22×C4×C79—41no—
516C22×C4×C79—41no—
517C22×C4×C79C2411yescharacteristic
518C22×C4×C79C2411yescharacteristic
519C22×C4×C79C2411yescharacteristic
520C22×C4×C79C2411yescharacteristic
521C22×C4×C79C2411yescharacteristic
522C22×C4×C79C2411yescharacteristic
523C22×C4×C79C2411yescharacteristic
524C22×C4×C79C2411yescharacteristic
525C22×C4×C79C2411yescharacteristic
526C22×C4×C79C2411yescharacteristic
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C4⋊C4×C79—22no—
531C4⋊C4×C79—41no—
532C4⋊C4×C79—41no—
533C4⋊C4×C79—41no—
534C4⋊C4×C79—41no—
535C22⋊C4×C79—22no—
536C22⋊C4×C79—22no—
537C22⋊C4×C79—22no—
538C22⋊C4×C79—22no—
539C22⋊C4×C79—22no—
540C22⋊C4×C79—41no—
541C22⋊C4×C79—41no—
542C22⋊C4×C79—41no—
543C22⋊C4×C79—41no—
544C22⋊C4×C79—41no—
545C22⋊C4×C79—41no—
546C42×C79—41no—
547C42×C79—41no—
548C23×C79—21no—
549C23×C79—21no—
550C23×C79—21no—
551C23×C79—21no—
552C23×C79—21no—
553C23×C79—21no—
554C23×C79—21no—
555C23×C79—21no—
556C23×C79—21no—
557C23×C79—21no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79C2×#4112yes—
562C23×C79C2511yescharacteristic
563C22×D79—21no—
564C22×D79—21no—
565C22×D79—21no—
566C22×D79—21no—
567C22×D79—21no—
568C22×D79—21no—
569C22×D79—21no—
570C22×D79—21no—
571C22×D79—21no—
572C22×D79—21no—
573C22×D79—28no—
574C22×D79—21no—
575C22×D79—21no—
576C22×D79—21no—
577C22×D79—21no—
578C22×D79—21no—
579C22×D79—21no—
580C22×D79—21no—
581C22×D79—44no—
582C22×D79—44no—
583C22×D79—44no—
584C22×D79—44no—
585C22×D79—44no—
586C22×D79—44no—
587C22×D79C2×#4112yes—
588C22×D79C2×#4112yes—
589C22×D79C2×#4112yes—
590C22×D79C2×#4112yes—
591Q8×C79—44no—
592D4×C79—44no—
593C2×C4×C79—21no—
594C2×C4×C79—21no—
595C2×C4×C79—21no—
596C2×C4×C79—21no—
597C2×C4×C79—21no—
598C2×C4×C79—21no—
599C2×C4×C79—21no—
600C2×C4×C79—21no—
601C2×C4×C79—21no—
602C2×C4×C79—21no—
603C2×C4×C79—21no—
604C2×C4×C79—21no—
605C2×C4×C79—21no—
606C2×C4×C79—21no—
607C2×C4×C79—21no—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—44no—
631C2×C4×C79C2×#4112yes—
632C2×C4×C79C2×#4112yes—
633C22⋊D79—44no—
634C22⋊D79—44no—
635C22⋊D79—44no—
636C22⋊D79—44no—
637C2×Dic79—21no—
638C2×Dic79—21no—
639C2×Dic79—21no—
640C2×Dic79—21no—
641C2×Dic79—21no—
642C2×Dic79—21no—
643C2×Dic79—21no—
644C2×Dic79—21no—
645C2×Dic79—21no—
646C2×Dic79—21no—
647C2×Dic79—21no—
648C2×Dic79—21no—
649C2×Dic79—21no—
650C2×Dic79—21no—
651C2×Dic79—21no—
652C2×Dic79—21no—
653C2×Dic79—21no—
654C2×Dic79—21no—
655C2×Dic79—21no—
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—44no—
673C2×Dic79—44no—
674C2×Dic79C2×#4112yes—
675C2×Dic79C2×#4112yes—
676C2×Dic79H(5,𝔽2)12yes—
677C2×Dic79H(5,𝔽2)12yes—
678D316—44no—
679D316—44no—
680C4×D79—28no—
681C4×D79—44no—
682C4×D79—44no—
683C4×D79—44no—
684C4×D79—44no—
685C4×D79—44no—
686C4×D79—44no—
687C4×D79—44no—
688C4×D79—44no—
689C22×C79—22no—
690C22×C79—22no—
691C22×C79—22no—
692C22×C79—41no—
693C22×C79—41no—
694C22×C79—41no—
695C22×C79—41no—
696C22×C79—41no—
697C22×C79—41no—
698C22×C79—41no—
699C22×C79—41no—
700C22×C79—41no—
701C22×C79—41no—
702C22×C79—41no—
703C22×C79C22×#4111yescharacteristic
704C22×C79C22×#4111yescharacteristic
705C22×C79C22×#4111yescharacteristic
706C22×C79C2×H(5,𝔽2)11yescharacteristic
707C22×C79C2×H(5,𝔽2)11yescharacteristic
708C22×C79#58511yescharacteristic
709C22×C79#58511yescharacteristic
710C2×D79—22no—
711C2×D79—22no—
712C2×D79—22no—
713C2×D79—22no—
714C2×D79—22no—
715C2×D79—22no—
716C2×D79—22no—
717C2×D79—22no—
718C2×D79—22no—
719C2×D79—416no—
720C2×D79—41no—
721C2×D79—41no—
722C2×D79—41no—
723C2×D79—41no—
724C2×D79—41no—
725C2×D79—41no—
726C2×D79—41no—
727C2×D79—41no—
728C2×D79—41no—
729C2×D79—41no—
730C2×D79—41no—
731C2×D79#52914yes—
732C4×C79—22no—
733C4×C79—22no—
734C4×C79—41no—
735C4×C79—41no—
736C4×C79—41no—
737C4×C79—41no—
738C4×C79—41no—
739C4×C79—41no—
740C4×C79—41no—
741C4×C79—41no—
742C4×C79—41no—
743C4×C79—41no—
744C4×C79—41no—
745Dic79—22no—
746Dic79—41no—
747Dic79—41no—
748Dic79—41no—
749Dic79—41no—
750Dic79—41no—
751Dic79—41no—
752Dic79—41no—
753Dic79—41no—
754Dic79—41no—
755Dic79—41no—
756Dic79—41no—
757Dic79#53814yes—
758#34570—791nomaximal, Sylow
759C2×C79—42no—
760C2×C79—81no—
761C2×C79C2×#52911yescharacteristic
762C2×C79C2×#53811yescharacteristic
763C2×C79#345511yescharacteristic
764C2×C79#345911yescharacteristic
765C2×C79#345911yescharacteristic
766C2×C79#345911yescharacteristic
767C2×C79#346011yescharacteristic
768D79—24no—
769D79—42no—
770D79—81no—
771#2653—791no—
772#2653D7911yescharacteristic, complemented
773#2652—791no—
774#2652—791no—
775#2649—791no—
776#2649—791no—
777#2648—791no—
778#2648—791no—
779#2646—791no—
780#2643—791no—
781#2643—791no—
782#2639—791no—
783#2626—791no—
784#2622—791no—
785#2622—791no—
786#2617—791no—
787#2401—791no—
788#2401—791no—
789#2398—791no—
790#2398—791no—
791#2395—791no—
792#2395—791no—
793#2392—791no—
794#2392—791no—
795C4×C22⋊Q8—791no—
796C4×#121—791no—
797C4×#120—791no—
798C4×#120—791no—
799#2290—791no—
800#2290—791no—
801C2×C4×C22⋊C4—791no—
802C79#3457011yescharacteristic, complemented, Sylow
803C24×C4—791no—
804C2×C22⋊Q8—791no—
805C2×#121—791no—
806C2×#120—791no—
807C2×#120—791no—
808C2×C4×Q8—791no—
809C2×C4×D4—791no—
810C2×C4×D4—791no—
811C2×C4×D4—791no—
812C2×C4×D4—791no—
813C2×C4×D4—791no—
814C2×C4×D4—791no—
815C2×C4×D4—791no—
816C2×#117—791no—
817C2×#117—791no—
818C22×C22⋊C4—791no—
819C22×C22⋊C4—791no—
820C22×C42—791no—
821C22×C42—791no—
822#401—791no—
823#401C2×D7911yescharacteristic, complemented
824#400—791no—
825#400—791no—
826#400—791no—
827#400—791no—
828#400—791no—
829#400—791no—
830#400—791no—
831#400—791no—
832#400—791no—
833#400—791no—
834#400—791no—
835#400—791no—
836#399—791no—
837#399—791no—
838#398—791no—
839#398—791no—
840#398—791no—
841#398C2×D7911yescharacteristic, complemented
842#397—791no—
843#397—791no—
844#397—791no—
845#397—791no—
846#397—791no—
847#397—791no—
848#397—791no—
849#397—791no—
850#397—791no—
851#397—791no—
852#397—791no—
853#397—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397C2×D7911yescharacteristic
859#397C2×D7911yescharacteristic, complemented
860#396—791no—
861#396—791no—
862#396—791no—
863#396—791no—
864#396—791no—
865#396—791no—
866#394—791no—
867#394—791no—
868#394—791no—
869#394—791no—
870#394—791no—
871#394—791no—
872#394—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394C2×D7911yescharacteristic
879#394C2×D7911yescharacteristic
880#393—791no—
881#393—791no—
882#393C2×D7911yescharacteristic
883#393C2×D7911yescharacteristic, complemented
884#392—791no—
885#392—791no—
886#391C2×D7911yescharacteristic, complemented
887#390—791no—
888#389—791no—
889#389—791no—
890#388—791no—
891#388—791no—
892#388—791no—
893#388—791no—
894#388C2×D7911yescharacteristic, complemented
895#388C2×D7911yescharacteristic, complemented
896#387—791no—
897#387—791no—
898#387—791no—
899#387—791no—
900#387—791no—
901#387C2×D7911yescharacteristic, complemented
902#386—791no—
903#386—791no—
904#386—791no—
905#386—791no—
906#386—791no—
907#386—791no—
908#386—791no—
909#386—791no—
910#386—791no—
911#386—791no—
912#386—791no—
913#386C2×D7911yescharacteristic
914#385—791no—
915#385—791no—
916#385—791no—
917#385—791no—
918#385—791no—
919#385—791no—
920#385—791no—
921#385—791no—
922#385—791no—
923#385—791no—
924#385—791no—
925#385C2×D7911yescharacteristic
926#380—791no—
927#380—791no—
928#379—791no—
929#379—791no—
930C4×C4⋊C4—791no—
931C4×C4⋊C4—791no—
932C4×C4⋊C4—791no—
933C4×C4⋊C4—791no—
934C4×C4⋊C4—791no—
935C4×C4⋊C4—791no—
936C4×C22⋊C4—791no—
937C4×C22⋊C4—791no—
938C4×C22⋊C4—791no—
939C4×C22⋊C4—791no—
940C4×C22⋊C4—791no—
941C4×C22⋊C4—791no—
942C4×C22⋊C4—791no—
943C4×C22⋊C4—791no—
944C4×C22⋊C4—791no—
945C4×C22⋊C4—791no—
946C4×C22⋊C4—791no—
947C4×C22⋊C4—791no—
948C4×C22⋊C4—791no—
949C4×C22⋊C4—791no—
950C4×C22⋊C4—791no—
951C4×C22⋊C4—791no—
952C4×C22⋊C4—791no—
953C4×C22⋊C4C2×D7911yescharacteristic
954#376—791no—
955#376—791no—
956C2×#95—791no—
957C2×#95—791no—
958C25—791no—
959C22×Q8C22×D7911yescharacteristic
960C22×D4—791no—
961C22×D4—791no—
962C22×D4—791no—
963C22×D4—791no—
964C22×D4—791no—
965C22×D4—791no—
966C22×D4C22×D7911yescharacteristic
967C23×C4—3162no—
968C23×C4—3162no—
969C23×C4—791no—
970C23×C4—791no—
971C23×C4—791no—
972C23×C4—791no—
973C23×C4—791no—
974C23×C4—791no—
975C23×C4—791no—
976C23×C4—791no—
977C23×C4—791no—
978C23×C4—791no—
979C23×C4—791no—
980C23×C4—1584no—
981C23×C4C22×D7911yescharacteristic
982C22⋊Q8—1584no—
983#121—1584no—
984#120—1584no—
985#120—1584no—
986C4×Q8—3162no—
987C4×D4—3162no—
988C4×D4—3162no—
989C4×D4—3162no—
990C4×D4—3162no—
991C4×D4—3162no—
992C4×D4—1584no—
993C4×D4—1584no—
994#117—3162no—
995#117—3162no—
996C2×C4⋊C4—791no—
997C2×C4⋊C4—791no—
998C2×C4⋊C4—791no—
999C2×C4⋊C4—791no—
1000C2×C4⋊C4—791no—
1001C2×C4⋊C4—791no—
1002C2×C4⋊C4—791no—
1003C2×C4⋊C4—791no—
1004C2×C4⋊C4—791no—
1005C2×C4⋊C4—791no—
1006C2×C4⋊C4—791no—
1007C2×C4⋊C4—791no—
1008C2×C4⋊C4—791no—
1009C2×C4⋊C4—791no—
1010C2×C4⋊C4—791no—
1011C2×C4⋊C4—791no—
1012C2×C4⋊C4—791no—
1013C2×C4⋊C4—791no—
1014C2×C4⋊C4—791no—
1015C2×C4⋊C4—791no—
1016C2×C4⋊C4—791no—
1017C2×C4⋊C4C22×D7911yescharacteristic
1018C2×C4⋊C4C22×D7911yescharacteristic
1019C2×C4⋊C4C22×D7911yescharacteristic
1020C2×C4⋊C4C22×D7911yescharacteristic
1021C2×C4⋊C4C22×D7911yescharacteristic
1022C2×C22⋊C4—791no—
1023C2×C22⋊C4—791no—
1024C2×C22⋊C4—791no—
1025C2×C22⋊C4—791no—
1026C2×C22⋊C4—791no—
1027C2×C22⋊C4—791no—
1028C2×C22⋊C4—791no—
1029C2×C22⋊C4—791no—
1030C2×C22⋊C4—791no—
1031C2×C22⋊C4—791no—
1032C2×C22⋊C4—791no—
1033C2×C22⋊C4—791no—
1034C2×C22⋊C4—791no—
1035C2×C22⋊C4—791no—
1036C2×C22⋊C4—791no—
1037C2×C22⋊C4—791no—
1038C2×C22⋊C4—791no—
1039C2×C22⋊C4—791no—
1040C2×C22⋊C4—791no—
1041C2×C22⋊C4—791no—
1042C2×C22⋊C4—791no—
1043C2×C22⋊C4—791no—
1044C2×C22⋊C4—791no—
1045C2×C22⋊C4—791no—
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—1584no—
1058C2×C22⋊C4—1584no—
1059C2×C22⋊C4C22×D7911yescharacteristic
1060C2×C22⋊C4C22×D7911yescharacteristic
1061C2×C22⋊C4C22×D7911yescharacteristic
1062C2×C22⋊C4C22×D7911yescharacteristic
1063C2×C22⋊C4C22×D7911yescharacteristic
1064C2×C22⋊C4C22×D7911yescharacteristic
1065C2×C22⋊C4C22×D7911yescharacteristic
1066C2×C22⋊C4C22×D7911yescharacteristic
1067C2×C22⋊C4C22×D7911yescharacteristic
1068C2×C22⋊C4C22×D7911yescharacteristic
1069C2×C22⋊C4C22×D7911yescharacteristic
1070C2×C42—3162no—
1071C2×C42—3162no—
1072C2×C42—791no—
1073C2×C42—791no—
1074C2×C42—791no—
1075C2×C42—791no—
1076C2×C42—791no—
1077C2×C42—791no—
1078C2×C42—791no—
1079C2×C42—791no—
1080C2×C42—791no—
1081C2×C42—791no—
1082C2×C42—791no—
1083C2×C42—791no—
1084C2×C42C22×D7911yescharacteristic
1085C2×C42C22×D7911yescharacteristic
1086#95—791no—
1087#95—791no—
1088#95—791no—
1089#95—791no—
1090#95—791no—
1091#95—791no—
1092#95—791no—
1093#95—791no—
1094#95—791no—
1095#95—791no—
1096#95—791no—
1097#95—791no—
1098#95—791no—
1099#95—791no—
1100#95—791no—
1101#95—791no—
1102#95—791no—
1103#95—791no—
1104#95—791no—
1105#95—791no—
1106#95—791no—
1107#95—791no—
1108#95—791no—
1109#95—791no—
1110#95—791no—
1111#95—791no—
1112#95—791no—
1113#95—791no—
1114#95—791no—
1115#95—791no—
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95C22×D7911yescharacteristic
1121#95C22×D7911yescharacteristic
1122#95C22×D7911yescharacteristic
1123#95C22×D7911yescharacteristic
1124#95C22×D7911yescharacteristic
1125#95C22×D7911yescharacteristic
1126#95C22×D7911yescharacteristic
1127#95C22×D7911yescharacteristic
1128#95C22×D7911yescharacteristic
1129#95C22×D7911yescharacteristic
1130#95C22×D7911yescharacteristic
1131#95C22×D7911yescharacteristic
1132#95C22×D7911yescharacteristic
1133#95C22×D7911yescharacteristic
1134C24—3161no—
1135C24—3161no—
1136C24—3161no—
1137C24—3161no—
1138C24—794no—
1139C24—791no—
1140C24—791no—
1141C24—791no—
1142C24—1582no—
1143C24—1582no—
1144C24C23×D7911yescharacteristic
1145C24C23×D7911yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×D4—22no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—3161no—
1153C2×D4—3161no—
1154C2×D4—3161no—
1155C2×D4—3161no—
1156C2×D4—3161no—
1157C2×D4—3161no—
1158C2×D4—3161no—
1159C2×D4—3161no—
1160C2×D4—1582no—
1161C2×D4—1582no—
1162C2×D4—1582no—
1163C2×D4—1582no—
1164C2×D4—1582no—
1165C2×D4—1582no—
1166C2×D4—1582no—
1167C2×D4—1582no—
1168C2×D4—1582no—
1169C2×D4—1582no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—3161no—
1174C22×C4—3161no—
1175C22×C4—3161no—
1176C22×C4—3161no—
1177C22×C4—3161no—
1178C22×C4—3161no—
1179C22×C4—3161no—
1180C22×C4—3161no—
1181C22×C4—3161no—
1182C22×C4—3161no—
1183C22×C4—3161no—
1184C22×C4—3161no—
1185C22×C4—31616no—
1186C22×C4—794no—
1187C22×C4—791no—
1188C22×C4—791no—
1189C22×C4—794no—
1190C22×C4—791no—
1191C22×C4—791no—
1192C22×C4—791no—
1193C22×C4—791no—
1194C22×C4—791no—
1195C22×C4—791no—
1196C22×C4—791no—
1197C22×C4—791no—
1198C22×C4—791no—
1199C22×C4—791no—
1200C22×C4—791no—
1201C22×C4—1582no—
1202C22×C4—1582no—
1203C22×C4—1582no—
1204C22×C4—1582no—
1205C22×C4—1582no—
1206C22×C4—1582no—
1207C22×C4—1582no—
1208C22×C4—1582no—
1209C22×C4—1582no—
1210C22×C4—1582no—
1211C22×C4—1582no—
1212C22×C4—1582no—
1213C22×C4—1582no—
1214C22×C4—1582no—
1215C22×C4—1582no—
1216C22×C4—1582no—
1217C22×C4—1582no—
1218C22×C4—1582no—
1219C22×C4—1582no—
1220C22×C4C23×D7911yescharacteristic
1221C22×C4C23×D7911yescharacteristic
1222C22×C4C23×D7911yescharacteristic
1223C22×C4C23×D7911yescharacteristic
1224C22×C4C23×D7911yescharacteristic
1225C22×C4C23×D7911yescharacteristic
1226C22×C4C23×D7911yescharacteristic
1227C22×C4C23×D7911yescharacteristic
1228C22×C4C23×D7911yescharacteristic
1229C22×C4C23×D7911yescharacteristic
1230C22×C4C23×D7911yescharacteristic
1231C22×C4C23×D7911yescharacteristic
1232C22×C4C23×D7911yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—3161no—
1239C4⋊C4—3161no—
1240C4⋊C4—3161no—
1241C4⋊C4—3161no—
1242C4⋊C4—3161no—
1243C4⋊C4—3161no—
1244C4⋊C4—3161no—
1245C4⋊C4—3161no—
1246C4⋊C4—3161no—
1247C4⋊C4—3161no—
1248C4⋊C4—3161no—
1249C4⋊C4—3161no—
1250C4⋊C4—3161no—
1251C4⋊C4—3161no—
1252C4⋊C4—3161no—
1253C4⋊C4—3161no—
1254C4⋊C4—1582no—
1255C4⋊C4—1582no—
1256C4⋊C4—1582no—
1257C4⋊C4—1582no—
1258C4⋊C4—1582no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—3161no—
1271C22⋊C4—3161no—
1272C22⋊C4—3161no—
1273C22⋊C4—3161no—
1274C22⋊C4—3161no—
1275C22⋊C4—3161no—
1276C22⋊C4—3161no—
1277C22⋊C4—3161no—
1278C22⋊C4—3161no—
1279C22⋊C4—3161no—
1280C22⋊C4—3161no—
1281C22⋊C4—3161no—
1282C22⋊C4—3161no—
1283C22⋊C4—3161no—
1284C22⋊C4—3161no—
1285C22⋊C4—3161no—
1286C22⋊C4—3161no—
1287C22⋊C4—3161no—
1288C22⋊C4—1582no—
1289C22⋊C4—1582no—
1290C22⋊C4—1582no—
1291C22⋊C4—1582no—
1292C22⋊C4—1582no—
1293C22⋊C4—1582no—
1294C22⋊C4—1582no—
1295C22⋊C4—1582no—
1296C22⋊C4—1582no—
1297C22⋊C4—1582no—
1298C22⋊C4—1582no—
1299C22⋊C4—1582no—
1300C22⋊C4—1582no—
1301C22⋊C4—1582no—
1302C22⋊C4—1582no—
1303C22⋊C4—1582no—
1304C22⋊C4—1582no—
1305C42—41no—
1306C42—41no—
1307C42—3161no—
1308C42—3161no—
1309C42—1582no—
1310C42—1582no—
1311C42—1582no—
1312C42—1582no—
1313C42—1582no—
1314C42—1582no—
1315C42—1582no—
1316C42—1582no—
1317C42—1582no—
1318C42—1582no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—3164no—
1333C23—3164no—
1334C23—3164no—
1335C23—3164no—
1336C23—3164no—
1337C23—3164no—
1338C23—792no—
1339C23—792no—
1340C23—792no—
1341C23—792no—
1342C23—1588no—
1343C23—1581no—
1344C23—1581no—
1345C23—1581no—
1346C23—1581no—
1347C23—1581no—
1348C23—1581no—
1349C23—1581no—
1350C23—1581no—
1351C23—1581no—
1352C23—1581no—
1353C23—1581no—
1354C23—1581no—
1355C23—1581no—
1356C23—1581no—
1357C23—1581no—
1358C23—1581no—
1359C23—1581no—
1360C23#41×D7912yes—
1361C23C24×D7911yescharacteristic
1362Q8—44no—
1363D4—44no—
1364D4—3164no—
1365D4—3164no—
1366D4—3164no—
1367D4—3164no—
1368D4—3164no—
1369D4—3164no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—44no—
1408C2×C4—3164no—
1409C2×C4—3164no—
1410C2×C4—3164no—
1411C2×C4—3164no—
1412C2×C4—3164no—
1413C2×C4—3164no—
1414C2×C4—3164no—
1415C2×C4—3164no—
1416C2×C4—3164no—
1417C2×C4—3164no—
1418C2×C4—792no—
1419C2×C4—792no—
1420C2×C4—792no—
1421C2×C4—792no—
1422C2×C4—1588no—
1423C2×C4—1581no—
1424C2×C4—1581no—
1425C2×C4—1581no—
1426C2×C4—1581no—
1427C2×C4—1581no—
1428C2×C4—1581no—
1429C2×C4—1581no—
1430C2×C4—1581no—
1431C2×C4—1581no—
1432C2×C4—1581no—
1433C2×C4—1581no—
1434C2×C4—1581no—
1435C2×C4—1581no—
1436C2×C4—1581no—
1437C2×C4—1581no—
1438C2×C4—1581no—
1439C2×C4—1581no—
1440C2×C4—1581no—
1441C2×C4—1581no—
1442C2×C4—1581no—
1443C2×C4—1581no—
1444C2×C4—1581no—
1445C2×C4—1581no—
1446C2×C4—1581no—
1447C2×C4—1581no—
1448C2×C4—1581no—
1449C2×C4—1581no—
1450C2×C4—1581no—
1451C2×C4—1581no—
1452C2×C4—1581no—
1453C2×C4—1581no—
1454C2×C4—1581no—
1455C2×C4—1581no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4#41×D7912yes—
1459C2×C4#41×D7912yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—31616no—
1475C22—3161no—
1476C22—3161no—
1477C22—3161no—
1478C22—3161no—
1479C22—3161no—
1480C22—3161no—
1481C22—3161no—
1482C22—3161no—
1483C22—3161no—
1484C22—3161no—
1485C22—3161no—
1486C22—794no—
1487C22—1582no—
1488C22—1582no—
1489C22—1582no—
1490C22—1582no—
1491C22—1582no—
1492C22—1582no—
1493C22—1582no—
1494C22—1582no—
1495C22—1582no—
1496C22C2×#41×D7911yescharacteristic
1497C22C2×#41×D7911yescharacteristic
1498C22C2×#41×D7911yescharacteristic
1499C22H(5,𝔽2)×D7911yescharacteristic
1500C22H(5,𝔽2)×D7911yescharacteristic
1501C22#1909939811yescharacteristic
1502C22#1909940011yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—3161no—
1517C4—3161no—
1518C4—3161no—
1519C4—3161no—
1520C4—3161no—
1521C4—3161no—
1522C4—3161no—
1523C4—3161no—
1524C4—3161no—
1525C4—3161no—
1526C4—3161no—
1527C4—794no—
1528C4—1582no—
1529C2—42no—
1530C2—81no—
1531C2—3162no—
1532C2—6321no—
1533C2—1584no—
1534C2#529×D7911yescharacteristic
1535C2#538×D7911yescharacteristic
1536C2#2377678711yescharacteristic
1537C2#2377680811yescharacteristic
1538C2#2377681111yescharacteristic
1539C2#2377681111yescharacteristic
1540C2#2377682011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2653C2
prime radical#23769139C2
hypercenter#2653D79
hypocenterC79#34570
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #23769469C2semidirect
2. #23769450C2semidirect
3. #23769444C2semidirect
4. #23769407C2semidirect
5. #23769397C2semidirect
6. #23769388C2semidirect
7. #23769386C2semidirect
8. #23769369C2semidirect
9. #23769358C2semidirect
10. #23769352C2semidirect
11. #23769329C2semidirect
12. #23769204C2semidirect
13. #23769174C2semidirect
14. #23769172C2semidirect
16. #23766703C2semidirect
17. #23766697C2semidirect
18. #23766682C2semidirect
19. #23766682C2semidirect
20. #23766664C2semidirect
21. #23766656C2semidirect
22. #23766639C2semidirect
23. #23766637C2semidirect
24. #23765938C2semidirect
25. #23765912C2semidirect
26. #23765905C2semidirect
27. #23765901C2semidirect
28. #23765842C2semidirect
29. #23765838C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2653C2semidirect
37. C2×Q8×Dic79C22semidirect
44. C2×(C22⋊D79)⋊C4C22semidirect
45. C2×#14579119C22semidirect
46. C2×#14579117C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098505C22semidirect
55. #19098505C22semidirect
56. #19098505C22semidirect
57. #19098505C22semidirect
58. #19098504C22semidirect
59. #19098504C22semidirect
60. #19098504C22semidirect
61. #19098504C22semidirect
62. #19098502C22semidirect
63. #19098501C22semidirect
66. #19098496C22semidirect
67. #19098494C22semidirect
68. #19098493C22semidirect
75. #19098491C22semidirect
77. #19098490C22semidirect
78. #19098490C22semidirect
79. #19098490C22semidirect
80. #19098490C22semidirect
83. #19098488C22semidirect
84. #19098488C22semidirect
87. #19098487C22semidirect
90. #19098486C22semidirect
100. #19098478C22semidirect
101. #19098478C22semidirect
104. #19098474C22semidirect
107. #19098463C22semidirect
108. #19098461C22semidirect
109. #19098458C22semidirect
110. #19098456C22semidirect
111. #19098454C22semidirect
112. #19098454C22semidirect
113. #19098452C22semidirect
114. #19098450C22semidirect
115. #19098450C22semidirect
116. #19098449C22semidirect
117. #19098447C22semidirect
118. #19098445C22semidirect
145. C4⋊C4×Dic79C22semidirect
146. C4⋊C4×Dic79C22semidirect
147. #19098414C22semidirect
148. #19098414C22semidirect
149. #19098414C22semidirect
150. #19098414C22semidirect
155. C22⋊C4×Dic79C22semidirect
156. C22⋊C4×Dic79C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098408C22semidirect
169. #19098408C22semidirect
172. #401×C79C22semidirect
173. #398×C79C22semidirect
175. #397×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #388×C79C22semidirect
182. #388×C79C22semidirect
183. #387×C79C22semidirect
772. #2653D79semidirect
802. C79#34570semidirect
823. #401C2×D79semidirect
841. #398C2×D79semidirect
859. #397C2×D79semidirect
883. #393C2×D79semidirect
886. #391C2×D79semidirect
894. #388C2×D79semidirect
895. #388C2×D79semidirect
901. #387C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237694692
#237694502
#237694442
#237694072
#237693972
#237693882
#237693862
#237693692
#237693582
#237693522
#237693292
#237692042
#237691742
#237691722
#237691392
#237667032
#237666972
#237666822
#237666642
#237666562
#237666392
#237666372
#237659382
#237659122
#237659052
#237659012
#237658422
#237658382
C4×C22⋊C4×D792
C79×#26532
#3457079