Finite Group Databasebeta

← #34498390

Subgroups — #34498390

Order 20224.

1988 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771695C211yesmaximal, characteristic, complemented
2#23771693C211yesmaximal, characteristic, complemented
3#23771344C211yesmaximal, characteristic, complemented
4#23770833C211yesmaximal, characteristic, complemented
5#23770832C211yesmaximal, characteristic, complemented
6#23770778C211yesmaximal, characteristic, complemented
7#23770775C211yesmaximal, characteristic, complemented
8#23770589C211yesmaximal, characteristic, complemented
9#23770577C211yesmaximal, characteristic, complemented
10#23770140C211yesmaximal, characteristic, complemented
11#23770137C211yesmaximal, characteristic, complemented
12#23770132C211yesmaximal, characteristic, complemented
13#23770124C211yesmaximal, characteristic, complemented
14#23770123C211yesmaximal, characteristic, complemented
15#23769960C211yesmaximal, characteristic, complemented
16#23769783C211yesmaximal, characteristic, complemented
17#23769782C211yesmaximal, characteristic, complemented
18#23769615C211yesmaximal, characteristic
19#23769469C211yesmaximal, characteristic, complemented
20#23769459C211yesmaximal, characteristic, complemented
21#23768181C211yesmaximal, characteristic, complemented
22#23767344C211yesmaximal, characteristic, complemented
23#23767334C211yesmaximal, characteristic, complemented
24#23767309C211yesmaximal, characteristic, complemented
25#23767307C211yesmaximal, characteristic, complemented
26#23767140C211yesmaximal, characteristic, complemented
27#23767134C211yesmaximal, characteristic, complemented
28#23766125C211yesmaximal, characteristic, complemented
29#23766073C211yesmaximal, characteristic, complemented
30C4×#14579131C211yesmaximal, characteristic, complemented
31C79×#2527C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579158C2211yescharacteristic
34C2×#14579150C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579146C2211yescharacteristic
39C2×#14579145C2211yescharacteristic
40C2×#14579144C2211yescharacteristic
41C2×#14579136C2211yescharacteristic
42C2×#14579134C2211yescharacteristic
43C2×#14579131C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579131C2211yescharacteristic
46C2×C4×D316C2211yescharacteristic
47C2×C4×D316C2211yescharacteristic
48C2×C4×D316C2211yescharacteristic, complemented
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×C4⋊C4×D79C2211yescharacteristic, complemented
51C79⋊#401C2211yescharacteristic, complemented
52C79⋊#401C2211yescharacteristic, complemented
53C79⋊#401C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098505C2211yescharacteristic, complemented
56#19098505C2211yescharacteristic, complemented
57#19098500C2211yescharacteristic, complemented
58#19098498C2211yescharacteristic, complemented
59#19098497C2211yescharacteristic, complemented
60#19098496C2211yescharacteristic, complemented
61#19098494C2211yescharacteristic, complemented
62#19098493C2211yescharacteristic, complemented
63#19098492C2211yescharacteristic
64#19098492C2211yescharacteristic
65#19098492C2211yescharacteristic
66#19098492C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic
68#19098490C2211yescharacteristic
69#19098490C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic
71#19098485C2211yescharacteristic
72#19098481C2211yescharacteristic
73#19098481C2211yescharacteristic
74#19098481C2211yescharacteristic
75#19098481C2211yescharacteristic
76#19098481C2211yescharacteristic, complemented
77#19098481C2211yescharacteristic, complemented
78#19098480C2211yescharacteristic
79#19098480C2211yescharacteristic
80#19098480C2211yescharacteristic, complemented
81#19098480C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098476C2211yescharacteristic
85#19098476C2211yescharacteristic
86#19098476C2211yescharacteristic, complemented
87#19098476C2211yescharacteristic, complemented
88#19098474C2211yescharacteristic
89#19098474C2211yescharacteristic, complemented
90#19098474C2211yescharacteristic, complemented
91#19098473C2211yescharacteristic
92#19098473C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098469C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098465C2211yescharacteristic
98#19098465C2211yescharacteristic, complemented
99#19098462C2211yescharacteristic, complemented
100#19098460C2211yescharacteristic, complemented
101#19098455C2211yescharacteristic
102#19098455C2211yescharacteristic, complemented
103#19098454C2211yescharacteristic
104#19098454C2211yescharacteristic
105#19098454C2211yescharacteristic, complemented
106#19098454C2211yescharacteristic, complemented
107#19098453C2211yescharacteristic
108#19098453C2211yescharacteristic, complemented
109#19098452C2211yescharacteristic
110#19098452C2211yescharacteristic, complemented
111#19098452C2211yescharacteristic, complemented
112#19098451C2211yescharacteristic
113#19098450C2211yescharacteristic, complemented
114#19098447C2211yescharacteristic, complemented
115#19098447C2211yescharacteristic, complemented
116#19098445C2211yescharacteristic, complemented
117#19098445C2211yescharacteristic, complemented
118#19098442C2211yescharacteristic
119#19098441C2211yescharacteristic
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic, complemented
134#19098441C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic, complemented
136#19098441C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098440C2211yescharacteristic
140#19098440C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic
144#19098438C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic
147#19098437C2211yescharacteristic
148#19098437C2211yescharacteristic
149#19098437C2211yescharacteristic
150#19098437C2211yescharacteristic
151#19098437C2211yescharacteristic, complemented
152#19098437C2211yescharacteristic, complemented
153#19098435C2211yescharacteristic
154#19098434C2211yescharacteristic
155#19098434C2211yescharacteristic
156#19098434C2211yescharacteristic, complemented
157#19098429C2211yescharacteristic, complemented
158#19098425C2211yescharacteristic
159#19098425C2211yescharacteristic
160#19098425C2211yescharacteristic, complemented
161#19098425C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic, complemented
163#19098424C2211yescharacteristic
164#19098422C2211yescharacteristic, complemented
165#19098422C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169C4×(C2×D79)⋊C4C2211yescharacteristic
170C4×(C2×D79)⋊C4C2211yescharacteristic
171#19098410C2211yescharacteristic, complemented
172#401×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic
175#393×C79C2211yescharacteristic
176#391×C79C2211yescharacteristic, complemented
177#391×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#385×C79C2211yescharacteristic
184#381×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186#376×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79—42no—
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
214#14579158—24no—
215#14579150—42no—
216#14579147—42no—
217#14579146—24no—
218#14579146—42no—
219#14579146—42no—
220#14579145—42no—
221#14579144—42no—
222#14579136—42no—
223#14579134—42no—
224#14579131—24no—
225#14579131—42no—
226#14579131—42no—
227C4×D316—42no—
228C4×D316—42no—
229C4×D316—42no—
230C4×C22⋊D79—42no—
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C4⋊C4×D79—42no—
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
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
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
329C23×C4×C79C2311yescharacteristic
330C2×C4⋊C4×C79C2311yescharacteristic
331C2×C4⋊C4×C79C2311yescharacteristic
332C2×C4⋊C4×C79C2311yescharacteristic
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C22⋊C4×C79C2311yescharacteristic
336C2×C22⋊C4×C79C2311yescharacteristic
337C2×C22⋊C4×C79C2311yescharacteristic
338C2×C22⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C42×C79C2311yescharacteristic
342C2×C42×C79C2311yescharacteristic
343C2×C42×C79C2311yescharacteristic
344C2×C42×C79C2311yescharacteristic
345#95×C79C2311yescharacteristic
346#95×C79C2311yescharacteristic
347#95×C79C2311yescharacteristic
348#95×C79C2311yescharacteristic
349#95×C79C2311yescharacteristic
350#95×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—22no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79—41no—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C23×D79C2411yescharacteristic
373C23×D79C2411yescharacteristic
374C23×D79C2411yescharacteristic
375C2×Dic158—41no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×D316—22no—
379C2×D316—22no—
380C2×D316—22no—
381C2×D316—22no—
382C2×D316—22no—
383C2×D316—22no—
384C2×D316—22no—
385C2×D316—22no—
386C2×D316—22no—
387C2×D316—41no—
388C2×D316—41no—
389C2×D316—41no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316#4114yes—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C22×Dic79—22no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
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—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—416no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473C22⋊Dic79—22no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
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—22no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
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—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C24×C79C2411yescharacteristic
523C2×Q8×C79—41no—
524C2×Q8×C79—41no—
525C2×Q8×C79—41no—
526C22×C4×C79—22no—
527C22×C4×C79—22no—
528C22×C4×C79—41no—
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C4⋊C4×C79—22no—
544C4⋊C4×C79—22no—
545C4⋊C4×C79—41no—
546C4⋊C4×C79—41no—
547C4⋊C4×C79—41no—
548C22⋊C4×C79—22no—
549C22⋊C4×C79—22no—
550C22⋊C4×C79—22no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C42×C79—22no—
555C42×C79—22no—
556C42×C79—41no—
557C42×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79H(5,𝔽2)12yes—
565C23×C79C2511yescharacteristic
566C22×D79—21no—
567C22×D79—21no—
568C22×D79—21no—
569C22×D79—21no—
570C22×D79—21no—
571C22×D79—21no—
572C22×D79—21no—
573C22×D79—21no—
574C22×D79—21no—
575C22×D79—21no—
576C22×D79—21no—
577C22×D79—21no—
578C22×D79—21no—
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—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
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×D79H(5,𝔽2)12yes—
608Q8×C79—82no—
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—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—44no—
650C2×C4×C79C2×#4112yes—
651C2×C4×C79H(5,𝔽2)12yes—
652C22⋊D79—44no—
653C22⋊D79—82no—
654C22⋊D79—82no—
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—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—44no—
689D316—44no—
690D316—44no—
691D316—44no—
692D316—82no—
693D316—82no—
694D316—82no—
695D316—82no—
696D316—82no—
697D316—82no—
698C4×D79—44no—
699C4×D79—44no—
700C4×D79—44no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—82no—
704C4×D79—82no—
705C4×D79—82no—
706C4×D79—82no—
707Dic158—82no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79C22×#4111yescharacteristic
716C22×C79C2×H(5,𝔽2)11yescharacteristic
717C22×C79C2×H(5,𝔽2)11yescharacteristic
718C22×C79C2×H(5,𝔽2)11yescharacteristic
719C22×C79#58511yescharacteristic
720C22×C79#58511yescharacteristic
721C22×C79#58511yescharacteristic
722C2×D79—22no—
723C2×D79—22no—
724C2×D79—22no—
725C2×D79—22no—
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—22no—
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—416no—
732C2×D79—41no—
733C2×D79—41no—
734C2×D79—41no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—41no—
741C2×D79—41no—
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—
756C2×D79—41no—
757C2×D79—41no—
758C4×C79—22no—
759C4×C79—22no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783#36840—791nomaximal, Sylow
784C2×C79—42no—
785C2×C79#345911yescharacteristic
786C2×C79#351311yescharacteristic
787C2×C79#351311yescharacteristic
788C2×C79#353211yescharacteristic
789C2×C79#353311yescharacteristic
790C2×C79#353311yescharacteristic
791C2×C79#354011yescharacteristic
792D79—42no—
793D79—42no—
794D79—42no—
795D79—81no—
796D79—81no—
797#2849—791no—
798#2849—791no—
799#2804—791no—
800#2765—791no—
801#2765—791no—
802#2760—791no—
803#2760—791no—
804#2746—791no—
805#2746—791no—
806#2710—791no—
807#2710—791no—
808#2709—791no—
809#2708—791no—
810#2708—791no—
811#2697—791no—
812#2684—791no—
813#2684—791no—
814#2669—791no—
815#2653—791no—
816#2653—791no—
817#2527—791no—
818#2527D7911yescharacteristic, complemented
819#2459—791no—
820#2459—791no—
821#2457—791no—
822#2457—791no—
823#2443—791no—
824#2443—791no—
825#2328—791no—
826#2322—791no—
827C4×#120—791no—
828C79#3684011yescharacteristic, complemented, Sylow
829C24×C4—791no—
830C2×#127—791no—
831C2×#124—791no—
832C2×#124—791no—
833C2×#123—791no—
834C2×#123—791no—
835C2×#123—791no—
836C2×#123—791no—
837C2×#123—791no—
838C2×#121—791no—
839C2×#121—791no—
840C2×#120—791no—
841C2×#120—791no—
842C2×#120—791no—
843C2×C4×D4—791no—
844C2×C4×D4—791no—
845C2×C4×D4—791no—
846C2×C4×D4—791no—
847C22×C4⋊C4—791no—
848#401—791no—
849#401—791no—
850#401—791no—
851#401C2×D7911yescharacteristic, complemented
852#400—791no—
853#400—791no—
854#400—791no—
855#400C2×D7911yescharacteristic, complemented
856#399—791no—
857#399—791no—
858#398—791no—
859#398—791no—
860#398—791no—
861#398—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397—791no—
867#397—791no—
868#397—791no—
869#397C2×D7911yescharacteristic
870#396—791no—
871#396—791no—
872#394—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#394—791no—
884#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#393—791no—
889#393—791no—
890#393—791no—
891#393C2×D7911yescharacteristic
892#392—791no—
893#392—791no—
894#392—791no—
895#392—791no—
896#391—791no—
897#391—791no—
898#391C2×D7911yescharacteristic, complemented
899#391C2×D7911yescharacteristic, complemented
900#390—791no—
901#390—791no—
902#389—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#388C2×D7911yescharacteristic
917#388C2×D7911yescharacteristic
918#387—791no—
919#387—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387C2×D7911yescharacteristic, complemented
924#387C2×D7911yescharacteristic, complemented
925#387C2×D7911yescharacteristic, complemented
926#386—791no—
927#386—791no—
928#386—791no—
929#386—791no—
930#386—791no—
931#386—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#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#385—791no—
959#385—791no—
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385C2×D7911yescharacteristic
966#382—791no—
967#381—791no—
968#381—791no—
969#381—791no—
970#381—791no—
971#381—791no—
972#381—791no—
973#381C2×D7911yescharacteristic
974#380—791no—
975#380—791no—
976#379—791no—
977#379—791no—
978#379—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C4×C22⋊C4C2×D7911yescharacteristic
983#376C2×D7911yescharacteristic, complemented
984C25—791no—
985C22×Q8—791no—
986C22×Q8C22×D7911yescharacteristic
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4—791no—
995C22×D4—791no—
996C22×D4—791no—
997C22×D4—791no—
998C22×D4—791no—
999C23×C4—3162no—
1000C23×C4—3162no—
1001C23×C4—3162no—
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×C4C22×D7911yescharacteristic
1013#127—1584no—
1014#124—3162no—
1015#124—3162no—
1016#123—3162no—
1017#123—3162no—
1018#123—3162no—
1019#123—3162no—
1020#123—1584no—
1021#121—3162no—
1022#121—3162no—
1023#120—3162no—
1024#120—3162no—
1025#120—1584no—
1026C4×D4—3162no—
1027C4×D4—3162no—
1028C4×D4—3162no—
1029C4×D4—3162no—
1030C2×C4⋊C4—3162no—
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⋊C4—791no—
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C4⋊C4C22×D7911yescharacteristic
1050C2×C4⋊C4C22×D7911yescharacteristic
1051C2×C4⋊C4C22×D7911yescharacteristic
1052C2×C4⋊C4C22×D7911yescharacteristic
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⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
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×C42C22×D7911yescharacteristic
1109C2×C42C22×D7911yescharacteristic
1110C2×C42C22×D7911yescharacteristic
1111C2×C42C22×D7911yescharacteristic
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#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#95C22×D7911yescharacteristic
1143#95C22×D7911yescharacteristic
1144#95C22×D7911yescharacteristic
1145#95C22×D7911yescharacteristic
1146#95C22×D7911yescharacteristic
1147#95C22×D7911yescharacteristic
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158#95C22×D7911yescharacteristic
1159#95C22×D7911yescharacteristic
1160C24—3161no—
1161C24—3161no—
1162C24—3161no—
1163C24—3161no—
1164C24—791no—
1165C24—791no—
1166C24—791no—
1167C24—791no—
1168C24—791no—
1169C24—1582no—
1170C24—1582no—
1171C24—1582no—
1172C24C23×D7911yescharacteristic
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—3161no—
1177C2×Q8—3161no—
1178C2×Q8—3161no—
1179C2×D4—3161no—
1180C2×D4—3161no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—3161no—
1185C2×D4—3161no—
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—794no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C2×D4—1582no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C2×D4—1582no—
1214C2×D4—1582no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
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—31616no—
1240C22×C4—3161no—
1241C22×C4—3161no—
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—1582no—
1254C22×C4—1582no—
1255C22×C4—1582no—
1256C22×C4—1582no—
1257C22×C4—1582no—
1258C22×C4—1582no—
1259C22×C4—1582no—
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7911yescharacteristic
1273C22×C4C23×D7911yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
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—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—3161no—
1290C4⋊C4—3161no—
1291C4⋊C4—3161no—
1292C4⋊C4—3161no—
1293C4⋊C4—3161no—
1294C4⋊C4—1582no—
1295C4⋊C4—1582no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—3161no—
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—3161no—
1335C22⋊C4—3161no—
1336C22⋊C4—3161no—
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—
1348C42—22no—
1349C42—22no—
1350C42—41no—
1351C42—41no—
1352C42—3161no—
1353C42—3161no—
1354C42—3161no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—3164no—
1362C23—3164no—
1363C23—3164no—
1364C23—3164no—
1365C23—3164no—
1366C23—3164no—
1367C23—3164no—
1368C23—792no—
1369C23—792no—
1370C23—792no—
1371C23—1581no—
1372C23—1581no—
1373C23—1581no—
1374C23—1581no—
1375C23—1581no—
1376C23—1581no—
1377C23—1581no—
1378C23—1581no—
1379C23—1581no—
1380C23—1581no—
1381C23—1581no—
1382C23—1581no—
1383C23—1581no—
1384C23—1581no—
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—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23#1457920712yes—
1404C23C24×D7911yescharacteristic
1405Q8—82no—
1406Q8—6322no—
1407D4—3164no—
1408D4—3164no—
1409D4—3164no—
1410D4—3164no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417D4—6322no—
1418D4—6322no—
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—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—3164no—
1461C2×C4—3164no—
1462C2×C4—3164no—
1463C2×C4—3164no—
1464C2×C4—3164no—
1465C2×C4—3164no—
1466C2×C4—6322no—
1467C2×C4—6322no—
1468C2×C4—6322no—
1469C2×C4—6322no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4#41×D7912yes—
1504C2×C4#1457920712yes—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—31616no—
1513C22—3161no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—3161no—
1519C22—3161no—
1520C22—3161no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22—1582no—
1543C22—1582no—
1544C22—1582no—
1545C22—1582no—
1546C22—1582no—
1547C22—1582no—
1548C22C2×#41×D7911yescharacteristic
1549C22H(5,𝔽2)×D7911yescharacteristic
1550C22C2×#1457920711yescharacteristic
1551C22C2×#1457920711yescharacteristic
1552C22#1909939911yescharacteristic
1553C22#1909939911yescharacteristic
1554C22#1909940011yescharacteristic
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—3161no—
1575C4—3161no—
1576C4—3161no—
1577C4—3161no—
1578C4—3161no—
1579C4—3161no—
1580C2—42no—
1581C2—3162no—
1582C2—3162no—
1583C2—3162no—
1584C2—6321no—
1585C2—6321no—
1586C2#2377681011yescharacteristic
1587C2#2377734411yescharacteristic
1588C2#2377734611yescharacteristic
1589C2#2377755611yescharacteristic
1590C2#2377756511yescharacteristic
1591C2#2377756611yescharacteristic
1592C2#2377767611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2527C2
prime radical#23769615C2
hypercenter#2527D79
hypocenterC79#36840
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2527

Complements

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

NH ≅ G/Ntype
1. #23771695C2semidirect
2. #23771693C2semidirect
3. #23771344C2semidirect
4. #23770833C2semidirect
5. #23770832C2semidirect
6. #23770778C2semidirect
7. #23770775C2semidirect
8. #23770589C2semidirect
9. #23770577C2semidirect
10. #23770140C2semidirect
11. #23770137C2semidirect
12. #23770132C2semidirect
13. #23770124C2semidirect
14. #23770123C2semidirect
15. #23769960C2semidirect
16. #23769783C2semidirect
17. #23769782C2semidirect
19. #23769469C2semidirect
20. #23769459C2semidirect
21. #23768181C2semidirect
22. #23767344C2semidirect
23. #23767334C2semidirect
24. #23767309C2semidirect
25. #23767307C2semidirect
26. #23767140C2semidirect
27. #23767134C2semidirect
28. #23766125C2semidirect
29. #23766073C2semidirect
30. C4×#14579131C2semidirect
31. C79×#2527C2semidirect
48. C2×C4×D316C22semidirect
50. C2×C4⋊C4×D79C22semidirect
51. C79⋊#401C22semidirect
52. C79⋊#401C22semidirect
53. C79⋊#401C22semidirect
54. #19098505C22semidirect
55. #19098505C22semidirect
56. #19098505C22semidirect
57. #19098500C22semidirect
58. #19098498C22semidirect
59. #19098497C22semidirect
60. #19098496C22semidirect
61. #19098494C22semidirect
62. #19098493C22semidirect
66. #19098492C22semidirect
69. #19098490C22semidirect
76. #19098481C22semidirect
77. #19098481C22semidirect
80. #19098480C22semidirect
81. #19098480C22semidirect
86. #19098476C22semidirect
87. #19098476C22semidirect
89. #19098474C22semidirect
90. #19098474C22semidirect
95. #19098469C22semidirect
96. #19098467C22semidirect
98. #19098465C22semidirect
99. #19098462C22semidirect
100. #19098460C22semidirect
102. #19098455C22semidirect
105. #19098454C22semidirect
106. #19098454C22semidirect
108. #19098453C22semidirect
110. #19098452C22semidirect
111. #19098452C22semidirect
113. #19098450C22semidirect
114. #19098447C22semidirect
115. #19098447C22semidirect
116. #19098445C22semidirect
117. #19098445C22semidirect
133. #19098441C22semidirect
134. #19098441C22semidirect
135. #19098441C22semidirect
136. #19098441C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
151. #19098437C22semidirect
152. #19098437C22semidirect
156. #19098434C22semidirect
157. #19098429C22semidirect
160. #19098425C22semidirect
161. #19098425C22semidirect
162. #19098425C22semidirect
164. #19098422C22semidirect
165. #19098422C22semidirect
171. #19098410C22semidirect
172. #401×C79C22semidirect
173. #400×C79C22semidirect
176. #391×C79C22semidirect
177. #391×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
186. #376×C79C22semidirect
818. #2527D79semidirect
828. C79#36840semidirect
851. #401C2×D79semidirect
855. #400C2×D79semidirect
898. #391C2×D79semidirect
899. #391C2×D79semidirect
923. #387C2×D79semidirect
924. #387C2×D79semidirect
925. #387C2×D79semidirect
983. #376C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716952
#237716932
#237713442
#237708332
#237708322
#237707782
#237707752
#237705892
#237705772
#237701402
#237701372
#237701322
#237701242
#237701232
#237699602
#237697832
#237697822
#237696152
#237694692
#237694592
#237681812
#237673442
#237673342
#237673092
#237673072
#237671402
#237671342
#237661252
#237660732
C4×#145791312
C79×#25272
#3684079