Finite Group Databasebeta

← #34495565

Subgroups — #34495565

Order 20224.

1962 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#23771682C211yesmaximal, characteristic, complemented
2#23770603C211yesmaximal, characteristic, complemented
3#23770500C211yesmaximal, characteristic, complemented
4#23770489C211yesmaximal, characteristic, complemented
5#23770459C211yesmaximal, characteristic, complemented
6#23770455C211yesmaximal, characteristic, complemented
7#23770238C211yesmaximal, characteristic, complemented
8#23770047C211yesmaximal, characteristic, complemented
9#23769963C211yesmaximal, characteristic, complemented
10#23769946C211yesmaximal, characteristic, complemented
11#23769905C211yesmaximal, characteristic, complemented
12#23769840C211yesmaximal, characteristic, complemented
13#23769810C211yesmaximal, characteristic, complemented
14#23769780C211yesmaximal, characteristic, complemented
15#23769725C211yesmaximal, characteristic, complemented
16#23769654C211yesmaximal, characteristic, complemented
17#23769622C211yesmaximal, characteristic, complemented
18#23769572C211yesmaximal, characteristic, complemented
19#23769528C211yesmaximal, characteristic, complemented
20#23768948C211yesmaximal, characteristic, complemented
21#23768733C211yesmaximal, characteristic, complemented
22#23768498C211yesmaximal, characteristic, complemented
23#23768496C211yesmaximal, characteristic, complemented
24#23767600C211yesmaximal, characteristic, complemented
25#23767583C211yesmaximal, characteristic, complemented
26#23767553C211yesmaximal, characteristic, complemented
27#23767510C211yesmaximal, characteristic, complemented
28#23766194C211yesmaximal, characteristic, complemented
29#23766162C211yesmaximal, characteristic, complemented
30#23765783C211yesmaximal, characteristic, complemented
31C79×#2849C211yesmaximal, characteristic, complemented
32C2×#14579148C2211yescharacteristic
33C2×#14579147C2211yescharacteristic
34C2×#14579147C2211yescharacteristic
35C2×#14579143C2211yescharacteristic
36C2×#14579143C2211yescharacteristic, complemented
37C2×#14579142C2211yescharacteristic
38C2×#14579141C2211yescharacteristic, complemented
39C2×#14579135C2211yescharacteristic
40C2×#14579135C2211yescharacteristic
41C2×#14579135C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579130C2211yescharacteristic
44C2×#14579130C2211yescharacteristic
45C2×#14579120C2211yescharacteristic
46C2×#14579120C2211yescharacteristic
47#19098505C2211yescharacteristic, complemented
48#19098505C2211yescharacteristic, complemented
49#19098502C2211yescharacteristic, complemented
50#19098502C2211yescharacteristic, complemented
51#19098501C2211yescharacteristic, complemented
52#19098500C2211yescharacteristic, complemented
53#19098497C2211yescharacteristic, complemented
54#19098493C2211yescharacteristic, complemented
55#19098492C2211yescharacteristic, complemented
56#19098492C2211yescharacteristic, complemented
57#19098491C2211yescharacteristic
58#19098491C2211yescharacteristic
59#19098491C2211yescharacteristic
60#19098491C2211yescharacteristic, complemented
61#19098490C2211yescharacteristic, complemented
62#19098490C2211yescharacteristic, complemented
63#19098488C2211yescharacteristic
64#19098488C2211yescharacteristic
65#19098488C2211yescharacteristic, complemented
66#19098488C2211yescharacteristic, complemented
67#19098486C2211yescharacteristic
68#19098486C2211yescharacteristic
69#19098486C2211yescharacteristic
70#19098485C2211yescharacteristic, complemented
71#19098484C2211yescharacteristic, complemented
72#19098484C2211yescharacteristic, complemented
73#19098484C2211yescharacteristic, complemented
74#19098480C2211yescharacteristic, complemented
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic, complemented
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098477C2211yescharacteristic
84#19098476C2211yescharacteristic, complemented
85#19098475C2211yescharacteristic
86#19098475C2211yescharacteristic
87#19098475C2211yescharacteristic
88#19098475C2211yescharacteristic, complemented
89#19098472C2211yescharacteristic, complemented
90#19098471C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098467C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098466C2211yescharacteristic
98#19098466C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098463C2211yescharacteristic, complemented
103#19098463C2211yescharacteristic, complemented
104#19098462C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic
106#19098457C2211yescharacteristic
107#19098456C2211yescharacteristic
108#19098456C2211yescharacteristic
109#19098456C2211yescharacteristic
110#19098456C2211yescharacteristic, complemented
111#19098456C2211yescharacteristic, complemented
112#19098455C2211yescharacteristic, complemented
113#19098455C2211yescharacteristic, complemented
114#19098453C2211yescharacteristic, complemented
115#19098453C2211yescharacteristic, complemented
116#19098453C2211yescharacteristic, complemented
117#19098452C2211yescharacteristic, complemented
118#19098452C2211yescharacteristic, complemented
119#19098451C2211yescharacteristic
120#19098451C2211yescharacteristic
121#19098450C2211yescharacteristic, complemented
122#19098450C2211yescharacteristic, complemented
123#19098449C2211yescharacteristic, complemented
124#19098449C2211yescharacteristic, complemented
125#19098449C2211yescharacteristic, complemented
126#19098448C2211yescharacteristic, complemented
127#19098448C2211yescharacteristic, complemented
128#19098448C2211yescharacteristic, complemented
129#19098446C2211yescharacteristic, complemented
130#19098446C2211yescharacteristic, complemented
131#19098446C2211yescharacteristic, complemented
132#19098445C2211yescharacteristic, complemented
133#19098443C2211yescharacteristic
134#19098442C2211yescharacteristic
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic
137#19098442C2211yescharacteristic
138#19098442C2211yescharacteristic
139#19098442C2211yescharacteristic
140#19098441C2211yescharacteristic, complemented
141#19098441C2211yescharacteristic, complemented
142#19098440C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic
144#19098439C2211yescharacteristic
145#19098439C2211yescharacteristic
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic, complemented
149#19098438C2211yescharacteristic, complemented
150#19098438C2211yescharacteristic, complemented
151#19098430C2211yescharacteristic, complemented
152#19098426C2211yescharacteristic
153#19098426C2211yescharacteristic
154#19098423C2211yescharacteristic
155#19098423C2211yescharacteristic
156#19098423C2211yescharacteristic
157#19098423C2211yescharacteristic
158#19098423C2211yescharacteristic
159#19098423C2211yescharacteristic
160#19098423C2211yescharacteristic
161#19098420C2211yescharacteristic, complemented
162#19098419C2211yescharacteristic
163#19098419C2211yescharacteristic
164C4⋊C4×Dic79C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic, complemented
166C4×C22⋊Dic79C2211yescharacteristic
167C4×C22⋊Dic79C2211yescharacteristic
168C4×C22⋊Dic79C2211yescharacteristic
169C4×C22⋊Dic79C2211yescharacteristic
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172C24×C4×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174C2×#123×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176#386×C79C2211yescharacteristic
177#386×C79C2211yescharacteristic
178#386×C79C2211yescharacteristic
179#386×C79C2211yescharacteristic
180#385×C79C2211yescharacteristic
181#385×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#381×C79C2211yescharacteristic
185#381×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201#14579148—42no—
202#14579147—42no—
203#14579147—42no—
204#14579143—42no—
205#14579143—42no—
206#14579142—42no—
207#14579141—42no—
208#14579135—24no—
209#14579135—42no—
210#14579135—42no—
211#14579133—42no—
212#14579130—42no—
213#14579130—42no—
214#14579120—42no—
215#14579120—42no—
216C2×C4⋊Dic79C2311yescharacteristic
217C2×C4⋊Dic79C2311yescharacteristic
218C2×C4⋊Dic79C2311yescharacteristic
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×C22⋊Dic79C2311yescharacteristic
237C2×C22⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
278C2×C4×Dic79C2311yescharacteristic
279C2×C4×Dic79C2311yescharacteristic
280C2×C4×Dic79C2311yescharacteristic
281C2×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C79⋊#95C2311yescharacteristic
287C79⋊#95C2311yescharacteristic
288C79⋊#95C2311yescharacteristic
289C79⋊#95C2311yescharacteristic
290C79⋊#95C2311yescharacteristic
291C79⋊#95C2311yescharacteristic
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
322C25×C79C2311yescharacteristic
323C22×D4×C79C2311yescharacteristic
324C22×D4×C79C2311yescharacteristic
325C22×D4×C79C2311yescharacteristic
326C23×C4×C79—24no—
327C23×C4×C79—42no—
328C23×C4×C79—42no—
329C23×C4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335#123×C79—24no—
336#123×C79—42no—
337#120×C79—42no—
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×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×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×D79C2411yescharacteristic
364C23×D79C2411yescharacteristic
365C2×Dic158—41no—
366C2×Dic158—41no—
367C2×Dic158—41no—
368C2×Dic158—41no—
369C2×Dic158—41no—
370C2×Dic158—41no—
371C2×D316—22no—
372C2×D316—41no—
373C2×D316—41no—
374C2×C22⋊D79—22no—
375C2×C22⋊D79—22no—
376C2×C22⋊D79—22no—
377C2×C22⋊D79—22no—
378C2×C22⋊D79—22no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—41no—
381C2×C22⋊D79—41no—
382C2×C22⋊D79—41no—
383C2×C22⋊D79—41no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C22×Dic79—41no—
399C22×Dic79—41no—
400C22×Dic79—41no—
401C22×Dic79C2411yescharacteristic
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—41no—
416C2×C4×D79—41no—
417C2×C4×D79—41no—
418C2×C4×D79—41no—
419C2×C4×D79—41no—
420C2×C4×D79—41no—
421C4⋊Dic79—22no—
422C4⋊Dic79—22no—
423C4⋊Dic79—22no—
424C4⋊Dic79—41no—
425C4⋊Dic79—41no—
426C4⋊Dic79—41no—
427C4⋊Dic79—41no—
428C4⋊Dic79—41no—
429C4⋊Dic79—41no—
430C4⋊Dic79—41no—
431C4⋊Dic79—41no—
432C4⋊Dic79—41no—
433Dic79⋊C4—41no—
434Dic79⋊C4—41no—
435Dic79⋊C4—41no—
436Dic79⋊C4—41no—
437Dic79⋊C4—41no—
438Dic79⋊C4—41no—
439Dic79⋊C4—41no—
440Dic79⋊C4—41no—
441C22⋊Dic79—22no—
442C22⋊Dic79—22no—
443C22⋊Dic79—22no—
444C22⋊Dic79—22no—
445C22⋊Dic79—22no—
446C22⋊Dic79—22no—
447C22⋊Dic79—41no—
448C22⋊Dic79—41no—
449C22⋊Dic79—41no—
450C22⋊Dic79—41no—
451C22⋊Dic79—41no—
452C22⋊Dic79—41no—
453C22⋊Dic79—41no—
454C22⋊Dic79—41no—
455C22⋊Dic79—41no—
456C22⋊Dic79—41no—
457C22⋊Dic79—41no—
458C22⋊Dic79—41no—
459C22⋊Dic79—41no—
460C22⋊Dic79—41no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464(C2×D79)⋊C4—22no—
465(C2×D79)⋊C4—22no—
466(C2×D79)⋊C4—22no—
467(C2×D79)⋊C4—22no—
468(C2×D79)⋊C4—41no—
469(C2×D79)⋊C4—41no—
470(C2×D79)⋊C4—41no—
471(C2×D79)⋊C4—41no—
472(C2×D79)⋊C4—41no—
473(C2×D79)⋊C4—41no—
474(C2×D79)⋊C4—41no—
475(C2×D79)⋊C4—41no—
476(C2×D79)⋊C4—41no—
477(C2×D79)⋊C4—41no—
478(C2×D79)⋊C4—41no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482C4×Dic79—41no—
483C4×Dic79—41no—
484C4×Dic79—41no—
485C4×Dic79—41no—
486C4×Dic79—41no—
487C4×Dic79—41no—
488C4×Dic79—41no—
489C4×Dic79—41no—
490C4×Dic79—41no—
491C24×C79—22no—
492C24×C79—22no—
493C24×C79—22no—
494C24×C79—41no—
495C24×C79—41no—
496C24×C79—41no—
497C24×C79—41no—
498C24×C79C2411yescharacteristic
499C24×C79C2411yescharacteristic
500C24×C79C2411yescharacteristic
501C24×C79C2411yescharacteristic
502C2×D4×C79—22no—
503C2×D4×C79—22no—
504C2×D4×C79—22no—
505C2×D4×C79—41no—
506C2×D4×C79—41no—
507C2×D4×C79—41no—
508C2×D4×C79—41no—
509C2×D4×C79—41no—
510C2×D4×C79—41no—
511C22×C4×C79—22no—
512C22×C4×C79—22no—
513C22×C4×C79—22no—
514C22×C4×C79—22no—
515C22×C4×C79—22no—
516C22×C4×C79—22no—
517C22×C4×C79—22no—
518C22×C4×C79—22no—
519C22×C4×C79—22no—
520C22×C4×C79—22no—
521C22×C4×C79—41no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79—41no—
527C22×C4×C79—41no—
528C22×C4×C79—416no—
529C22×C4×C79#4114yes—
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
541C4⋊C4×C79—22no—
542C4⋊C4×C79—22no—
543C4⋊C4×C79—22no—
544C4⋊C4×C79—41no—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—22no—
548C22⋊C4×C79—22no—
549C22⋊C4×C79—22no—
550C22⋊C4×C79—22no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
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×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—44no—
584C23×C79—44no—
585C23×C79—44no—
586C23×C79—44no—
587C23×C79—44no—
588C23×C79—44no—
589C23×C79—44no—
590C23×C79C2×#4112yes—
591C23×C79H(5,𝔽2)12yes—
592C23×C79H(5,𝔽2)12yes—
593C23×C79C2511yescharacteristic
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608D4×C79—82no—
609D4×C79—82no—
610D4×C79—82no—
611C2×C4×C79—28no—
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—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—44no—
643C2×C4×C79—44no—
644C2×C4×C79—44no—
645C2×C4×C79—44no—
646C2×C4×C79—44no—
647C2×C4×C79C2×#4112yes—
648C2×C4×C79C2×#4112yes—
649C2×C4×C79H(5,𝔽2)12yes—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C22⋊D79—82no—
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—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—82no—
701D316—82no—
702C4×D79—82no—
703C4×D79—82no—
704Dic158—82no—
705Dic158—82no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—22no—
712C22×C79—22no—
713C22×C79—22no—
714C22×C79—22no—
715C22×C79—416no—
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×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79C22×#4111yescharacteristic
736C22×C79C2×H(5,𝔽2)11yescharacteristic
737C22×C79C2×H(5,𝔽2)11yescharacteristic
738C22×C79C2×H(5,𝔽2)11yescharacteristic
739C22×C79#58511yescharacteristic
740C22×C79#58511yescharacteristic
741C22×C79#58511yescharacteristic
742C2×D79—41no—
743C2×D79—41no—
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—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—41no—
756C4×C79—22no—
757C4×C79—22no—
758C4×C79—22no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36735—791nomaximal, Sylow
782C2×C79—42no—
783C2×C79—42no—
784C2×C79—42no—
785C2×C79—81no—
786C2×C79#345511yescharacteristic
787C2×C79#349011yescharacteristic
788C2×C79#349411yescharacteristic
789C2×C79#353311yescharacteristic
790C2×C79#353411yescharacteristic
791C2×C79#354011yescharacteristic
792C2×C79#354211yescharacteristic
793D79—81no—
794D79—81no—
795#2849D7911yescharacteristic, complemented
796#2847—791no—
797#2747—791no—
798#2740—791no—
799#2739—791no—
800#2737—791no—
801#2737—791no—
802#2717—791no—
803#2703—791no—
804#2697—791no—
805#2696—791no—
806#2693—791no—
807#2688—791no—
808#2686—791no—
809#2684—791no—
810#2678—791no—
811#2672—791no—
812#2670—791no—
813#2665—791no—
814#2661—791no—
815#2597—791no—
816#2578—791no—
817#2557—791no—
818#2557—791no—
819#2477—791no—
820#2476—791no—
821#2474—791no—
822#2471—791no—
823#2335—791no—
824#2333—791no—
825#2280—791no—
826C79#3673511yescharacteristic, complemented, Sylow
827C24×C4C2×D7911yescharacteristic
828C2×#124—791no—
829C2×#124—791no—
830C2×#124—791no—
831C2×#123—791no—
832C2×#123—791no—
833C2×#123—791no—
834C2×#123C2×D7911yescharacteristic
835C2×#123C2×D7911yescharacteristic
836C2×C22⋊Q8—791no—
837C2×#121—791no—
838C2×#121—791no—
839C2×#121—791no—
840C2×#121—791no—
841C2×#120—791no—
842C2×#120—791no—
843C2×#120C2×D7911yescharacteristic
844C2×#117—791no—
845C2×#117—791no—
846#400—791no—
847#400—791no—
848#400—791no—
849#400—791no—
850#400—791no—
851#399—791no—
852#398—791no—
853#398—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397—791no—
859#397—791no—
860#397—791no—
861#397—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#396—791no—
867#396—791no—
868#396—791no—
869#396—791no—
870#395—791no—
871#395—791no—
872#395—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#393—791no—
884#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#392—791no—
893#392—791no—
894#391—791no—
895#391—791no—
896#390—791no—
897#390—791no—
898#390—791no—
899#390—791no—
900#390—791no—
901#390—791no—
902#390—791no—
903#389—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#388—791no—
919#388—791no—
920#387—791no—
921#387—791no—
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#386—791no—
933#386—791no—
934#386—791no—
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386C2×D7911yescharacteristic
949#386C2×D7911yescharacteristic
950#386C2×D7911yescharacteristic
951#386C2×D7911yescharacteristic
952#385—791no—
953#385—791no—
954#385C2×D7911yescharacteristic
955#385C2×D7911yescharacteristic
956#385C2×D7911yescharacteristic
957#385C2×D7911yescharacteristic
958#383—791no—
959#381—791no—
960#381—791no—
961#381C2×D7911yescharacteristic
962#381C2×D7911yescharacteristic
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#379—791no—
972#379—791no—
973#379C2×D7911yescharacteristic
974C4×C4⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C25C22×D7911yescharacteristic
983C22×Q8—791no—
984C22×Q8—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4C22×D7911yescharacteristic
995C22×D4C22×D7911yescharacteristic
996C22×D4C22×D7911yescharacteristic
997C23×C4—24no—
998C23×C4—42no—
999C23×C4—42no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4C22×D7911yescharacteristic
1004C23×C4C22×D7911yescharacteristic
1005C23×C4C22×D7911yescharacteristic
1006C23×C4C22×D7911yescharacteristic
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#124—3162no—
1010#124—3162no—
1011#124—3162no—
1012#123—24no—
1013#123—42no—
1014#123—3162no—
1015#123—3162no—
1016#123—3162no—
1017C22⋊Q8—3162no—
1018#121—3162no—
1019#121—3162no—
1020#121—3162no—
1021#121—1584no—
1022#120—42no—
1023#120—3162no—
1024#120—3162no—
1025#117—3162no—
1026#117—3162no—
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—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4C22×D7911yescharacteristic
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C4⋊C4C22×D7911yescharacteristic
1050C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
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×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C22⋊C4C22×D7911yescharacteristic
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—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#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—791no—
1166C24—791no—
1167C24C23×D7911yescharacteristic
1168C24C23×D7911yescharacteristic
1169C24C23×D7911yescharacteristic
1170C24C23×D7911yescharacteristic
1171C2×Q8—3161no—
1172C2×Q8—3161no—
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—3161no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—3161no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—3161no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—3161no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—416no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—3161no—
1234C22×C4—3161no—
1235C22×C4—3161no—
1236C22×C4—3161no—
1237C22×C4—3161no—
1238C22×C4—3161no—
1239C22×C4—3161no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—791no—
1248C22×C4—791no—
1249C22×C4—791no—
1250C22×C4—791no—
1251C22×C4—791no—
1252C22×C4—791no—
1253C22×C4—791no—
1254C22×C4#1192962314yes—
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—3161no—
1307C22⋊C4—3161no—
1308C22⋊C4—3161no—
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—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—3161no—
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—
1344C42—3161no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—3161no—
1352C42—3161no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
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—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23C2×#1192962312yes—
1400C23#1457920612yes—
1401C23#1457920712yes—
1402C23C24×D7911yescharacteristic
1403Q8—6322no—
1404Q8—6322no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—6322no—
1409D4—6322no—
1410D4—6322no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417C2×C4—28no—
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—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—6322no—
1454C2×C4—6322no—
1455C2×C4—6322no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4—1581no—
1459C2×C4—1581no—
1460C2×C4—1581no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
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×C4C2×#1192962312yes—
1499C2×C4C2×#1192962312yes—
1500C2×C4#1457920612yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—416no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—3161no—
1540C22—3161no—
1541C22—3161no—
1542C22—3161no—
1543C22—3161no—
1544C22C22×#1192962311yescharacteristic
1545C22C2×#1457920611yescharacteristic
1546C22C2×#1457920611yescharacteristic
1547C22C2×#1457920711yescharacteristic
1548C22#1909939911yescharacteristic
1549C22#1909939911yescharacteristic
1550C22#1909939911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—3161no—
1575C4—3161no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—81no—
1580C2—6321no—
1581C2—6321no—
1582C2#2377678811yescharacteristic
1583C2#2377708711yescharacteristic
1584C2#2377713711yescharacteristic
1585C2#2377757111yescharacteristic
1586C2#2377759411yescharacteristic
1587C2#2377766811yescharacteristic
1588C2#2377771611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2849C2
hypercenter#2849D79
hypocenterC79#36735
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #23771682C2semidirect
2. #23770603C2semidirect
3. #23770500C2semidirect
4. #23770489C2semidirect
5. #23770459C2semidirect
6. #23770455C2semidirect
7. #23770238C2semidirect
8. #23770047C2semidirect
9. #23769963C2semidirect
10. #23769946C2semidirect
11. #23769905C2semidirect
12. #23769840C2semidirect
13. #23769810C2semidirect
14. #23769780C2semidirect
15. #23769725C2semidirect
16. #23769654C2semidirect
17. #23769622C2semidirect
18. #23769572C2semidirect
19. #23769528C2semidirect
20. #23768948C2semidirect
21. #23768733C2semidirect
22. #23768498C2semidirect
23. #23768496C2semidirect
24. #23767600C2semidirect
25. #23767583C2semidirect
26. #23767553C2semidirect
27. #23767510C2semidirect
28. #23766194C2semidirect
29. #23766162C2semidirect
30. #23765783C2semidirect
31. C79×#2849C2semidirect
36. C2×#14579143C22semidirect
38. C2×#14579141C22semidirect
47. #19098505C22semidirect
48. #19098505C22semidirect
49. #19098502C22semidirect
50. #19098502C22semidirect
51. #19098501C22semidirect
52. #19098500C22semidirect
53. #19098497C22semidirect
54. #19098493C22semidirect
55. #19098492C22semidirect
56. #19098492C22semidirect
60. #19098491C22semidirect
61. #19098490C22semidirect
62. #19098490C22semidirect
65. #19098488C22semidirect
66. #19098488C22semidirect
70. #19098485C22semidirect
71. #19098484C22semidirect
72. #19098484C22semidirect
73. #19098484C22semidirect
74. #19098480C22semidirect
79. #19098479C22semidirect
84. #19098476C22semidirect
88. #19098475C22semidirect
89. #19098472C22semidirect
95. #19098467C22semidirect
96. #19098467C22semidirect
102. #19098463C22semidirect
103. #19098463C22semidirect
104. #19098462C22semidirect
110. #19098456C22semidirect
111. #19098456C22semidirect
112. #19098455C22semidirect
113. #19098455C22semidirect
114. #19098453C22semidirect
115. #19098453C22semidirect
116. #19098453C22semidirect
117. #19098452C22semidirect
118. #19098452C22semidirect
121. #19098450C22semidirect
122. #19098450C22semidirect
123. #19098449C22semidirect
124. #19098449C22semidirect
125. #19098449C22semidirect
126. #19098448C22semidirect
127. #19098448C22semidirect
128. #19098448C22semidirect
129. #19098446C22semidirect
130. #19098446C22semidirect
131. #19098446C22semidirect
132. #19098445C22semidirect
140. #19098441C22semidirect
141. #19098441C22semidirect
142. #19098440C22semidirect
148. #19098439C22semidirect
149. #19098438C22semidirect
150. #19098438C22semidirect
151. #19098430C22semidirect
161. #19098420C22semidirect
164. C4⋊C4×Dic79C22semidirect
165. C22⋊C4×Dic79C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
795. #2849D79semidirect
826. C79#36735semidirect

Maximal subgroups

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

subgroupindex
#237716822
#237706032
#237705002
#237704892
#237704592
#237704552
#237702382
#237700472
#237699632
#237699462
#237699052
#237698402
#237698102
#237697802
#237697252
#237696542
#237696222
#237695722
#237695282
#237689482
#237687332
#237684982
#237684962
#237676002
#237675832
#237675532
#237675102
#237661942
#237661622
#237657832
C79×#28492
#3673579