Finite Group Databasebeta

← #34495452

Subgroups — #34495452

Order 20224.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771686C211yesmaximal, characteristic, complemented
2#23771683C211yesmaximal, characteristic
3#23770595C211yesmaximal, characteristic, complemented
4#23770528C211yesmaximal, characteristic, complemented
5#23770524C211yesmaximal, characteristic, complemented
6#23770522C211yesmaximal, characteristic, complemented
7#23770510C211yesmaximal, characteristic, complemented
8#23770234C211yesmaximal, characteristic, complemented
9#23770234C211yesmaximal, characteristic, complemented
10#23770029C211yesmaximal, characteristic, complemented
11#23770025C211yesmaximal, characteristic, complemented
12#23769898C211yesmaximal, characteristic, complemented
13#23769894C211yesmaximal, characteristic, complemented
14#23769888C211yesmaximal, characteristic, complemented
15#23769884C211yesmaximal, characteristic, complemented
16#23769654C211yesmaximal, characteristic, complemented
17#23769652C211yesmaximal, characteristic, complemented
18#23769515C211yesmaximal, characteristic, complemented
19#23769332C211yesmaximal, characteristic, complemented
20#23767665C211yesmaximal, characteristic, complemented
21#23767664C211yesmaximal, characteristic, complemented
22#23767524C211yesmaximal, characteristic, complemented
23#23767519C211yesmaximal, characteristic, complemented
24#23767214C211yesmaximal, characteristic, complemented
25#23767204C211yesmaximal, characteristic, complemented
26#23766867C211yesmaximal, characteristic, complemented
27#23766863C211yesmaximal, characteristic, complemented
28#23766127C211yesmaximal, characteristic, complemented
29#23766099C211yesmaximal, characteristic, complemented
30#380×D79C211yesmaximal, characteristic, complemented
31C79×#2747C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579155C2211yescharacteristic, complemented
35C2×#14579147C2211yescharacteristic
36C2×#14579147C2211yescharacteristic
37C2×#14579143C2211yescharacteristic
38C2×#14579143C2211yescharacteristic
39C2×#14579141C2211yescharacteristic
40C2×#14579141C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic
42C2×#14579139C2211yescharacteristic
43C2×#14579139C2211yescharacteristic
44C2×#14579139C2211yescharacteristic, complemented
45C2×#14579138C2211yescharacteristic
46C2×#14579136C2211yescharacteristic
47C2×#14579136C2211yescharacteristic
48C2×#14579135C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579131C2211yescharacteristic
51C2×C4×D316C2211yescharacteristic
52C2×#14579123C2211yescharacteristic
53C2×C4⋊C4×D79C2211yescharacteristic
54C2×C4⋊C4×D79C2211yescharacteristic
55C2×C22⋊C4×D79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57#19098505C2211yescharacteristic, complemented
58#19098505C2211yescharacteristic, complemented
59#19098504C2211yescharacteristic, complemented
60#19098501C2211yescharacteristic, complemented
61#19098500C2211yescharacteristic
62#19098500C2211yescharacteristic, complemented
63#19098498C2211yescharacteristic
64#19098498C2211yescharacteristic, complemented
65#19098496C2211yescharacteristic, complemented
66#19098496C2211yescharacteristic, complemented
67#19098495C2211yescharacteristic, complemented
68#19098494C2211yescharacteristic, complemented
69#19098492C2211yescharacteristic, complemented
70#19098492C2211yescharacteristic, complemented
71#19098492C2211yescharacteristic, complemented
72#19098492C2211yescharacteristic, complemented
73#19098488C2211yescharacteristic
74#19098488C2211yescharacteristic
75#19098487C2211yescharacteristic, complemented
76#19098485C2211yescharacteristic, complemented
77#19098485C2211yescharacteristic, complemented
78#19098485C2211yescharacteristic, complemented
79#19098484C2211yescharacteristic, complemented
80#19098484C2211yescharacteristic, complemented
81#19098484C2211yescharacteristic, complemented
82#19098484C2211yescharacteristic, complemented
83#19098483C2211yescharacteristic, complemented
84#19098483C2211yescharacteristic, complemented
85#19098481C2211yescharacteristic
86#19098481C2211yescharacteristic
87#19098481C2211yescharacteristic, complemented
88#19098480C2211yescharacteristic
89#19098480C2211yescharacteristic
90#19098480C2211yescharacteristic, complemented
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic
95#19098476C2211yescharacteristic
96#19098476C2211yescharacteristic
97#19098476C2211yescharacteristic, complemented
98#19098476C2211yescharacteristic, complemented
99#19098469C2211yescharacteristic, complemented
100#19098467C2211yescharacteristic, complemented
101#19098465C2211yescharacteristic
102#19098464C2211yescharacteristic
103#19098462C2211yescharacteristic, complemented
104#19098461C2211yescharacteristic, complemented
105#19098460C2211yescharacteristic, complemented
106#19098460C2211yescharacteristic, complemented
107#19098457C2211yescharacteristic
108#19098455C2211yescharacteristic
109#19098455C2211yescharacteristic
110#19098455C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic
112#19098454C2211yescharacteristic, complemented
113#19098453C2211yescharacteristic, complemented
114#19098452C2211yescharacteristic
115#19098452C2211yescharacteristic, complemented
116#19098451C2211yescharacteristic
117#19098450C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098449C2211yescharacteristic, complemented
121#19098446C2211yescharacteristic, complemented
122#19098445C2211yescharacteristic, complemented
123#19098445C2211yescharacteristic, complemented
124#19098444C2211yescharacteristic, complemented
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098441C2211yescharacteristic
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098440C2211yescharacteristic
140#19098440C2211yescharacteristic
141#19098437C2211yescharacteristic
142#19098437C2211yescharacteristic
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098436C2211yescharacteristic
148#19098434C2211yescharacteristic
149#19098434C2211yescharacteristic
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098423C2211yescharacteristic
153#19098422C2211yescharacteristic
154#19098422C2211yescharacteristic
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098422C2211yescharacteristic
158#19098421C2211yescharacteristic
159#19098421C2211yescharacteristic
160#19098421C2211yescharacteristic
161#19098420C2211yescharacteristic
162#19098420C2211yescharacteristic
163#19098420C2211yescharacteristic
164#19098420C2211yescharacteristic
165#19098420C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168C4×(C2×D79)⋊C4C2211yescharacteristic
169#19098410C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#400×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#398×C79C2211yescharacteristic, complemented
175#398×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic
177#397×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic
186#380×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79—24no—
200C22×C4×D79—42no—
201C22×C4×D79—42no—
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579156—42no—
213#14579155—42no—
214#14579147—42no—
215#14579147—42no—
216#14579143—42no—
217#14579143—42no—
218#14579141—42no—
219#14579141—42no—
220#14579139—24no—
221#14579139—42no—
222#14579139—42no—
223#14579139—42no—
224#14579138—42no—
225#14579136—24no—
226#14579136—42no—
227#14579135—42no—
228#14579131—42no—
229#14579131—42no—
230C4×D316—42no—
231#14579123—42no—
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C4⋊C4×D79—42no—
259C4⋊C4×D79—42no—
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C22⋊C4×D79—42no—
301C22⋊C4×D79—42no—
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊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×C42×C79C2311yescharacteristic
352C2×C42×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
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C23×D79C2411yescharacteristic
380C2×Dic158—22no—
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×Dic158—41no—
384C2×Dic158—41no—
385C2×Dic158—41no—
386C2×Dic158—41no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×D316—22no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—22no—
394C2×D316—22no—
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—41no—
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—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—416no—
455C2×C4×D79#4114yes—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—41no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
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—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C4×Dic79—41no—
526C24×C79C2411yescharacteristic
527C22×C4×C79—22no—
528C22×C4×C79—22no—
529C22×C4×C79—41no—
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
543C22×C4×C79C2411yescharacteristic
544C4⋊C4×C79—22no—
545C4⋊C4×C79—22no—
546C4⋊C4×C79—22no—
547C4⋊C4×C79—22no—
548C4⋊C4×C79—41no—
549C4⋊C4×C79—41no—
550C4⋊C4×C79—41no—
551C4⋊C4×C79—41no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C22⋊C4×C79—22no—
555C22⋊C4×C79—22no—
556C22⋊C4×C79—22no—
557C22⋊C4×C79—41no—
558C22⋊C4×C79—41no—
559C22⋊C4×C79—41no—
560C42×C79—41no—
561C42×C79—41no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79H(5,𝔽2)12yes—
569C23×C79C2511yescharacteristic
570C22×D79—21no—
571C22×D79—21no—
572C22×D79—21no—
573C22×D79—21no—
574C22×D79—28no—
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—44no—
596C22×D79—44no—
597C22×D79—44no—
598C22×D79—44no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79C2×#4112yes—
602C22×D79H(5,𝔽2)12yes—
603C22×D792−1+412yes—
604C22×D792−1+412yes—
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—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—44no—
646C2×C4×C79C2×#4112yes—
647C2×C4×C79H(5,𝔽2)12yes—
648C22⋊D79—82no—
649C22⋊D79—82no—
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—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—44no—
685C2×Dic79C2×#4112yes—
686C2×Dic79H(5,𝔽2)12yes—
687D316—44no—
688D316—44no—
689D316—82no—
690D316—82no—
691D316—82no—
692C4×D79—28no—
693C4×D79—44no—
694C4×D79—44no—
695C4×D79—44no—
696C4×D79—82no—
697C4×D79—82no—
698C4×D79—82no—
699C4×D79—82no—
700C4×D79—82no—
701C4×D79—82no—
702Dic158—82no—
703Dic158—82no—
704Dic158—82no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—41no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79—41no—
712C22×C79C22×#4111yescharacteristic
713C22×C79C2×H(5,𝔽2)11yescharacteristic
714C22×C79C2×H(5,𝔽2)11yescharacteristic
715C22×C79C2×H(5,𝔽2)11yescharacteristic
716C22×C79C2×H(5,𝔽2)11yescharacteristic
717C22×C79C2×2−1+411yescharacteristic
718C22×C79C2×2−1+411yescharacteristic
719C2×D79—22no—
720C2×D79—22no—
721C2×D79—22no—
722C2×D79—22no—
723C2×D79—22no—
724C2×D79—22no—
725C2×D79—22no—
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—416no—
729C2×D79—41no—
730C2×D79—41no—
731C2×D79—41no—
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#54214yes—
748C4×C79—22no—
749C4×C79—22no—
750C4×C79—41no—
751C4×C79—41no—
752C4×C79—41no—
753C4×C79—41no—
754C4×C79—41no—
755C4×C79—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762Dic79—22no—
763Dic79—22no—
764Dic79—41no—
765Dic79—41no—
766Dic79—41no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774#36729—791nomaximal, Sylow
775C2×C79—42no—
776C2×C79C2×#54211yescharacteristic
777C2×C79#349011yescharacteristic
778C2×C79#349211yescharacteristic
779C2×C79#353611yescharacteristic
780C2×C79#353611yescharacteristic
781C2×C79#353711yescharacteristic
782C2×C79#353811yescharacteristic
783D79—24no—
784D79—42no—
785D79—81no—
786D79—81no—
787#2848—791no—
788#2847—791no—
789#2747—791no—
790#2747D7911yescharacteristic, complemented
791#2742—791no—
792#2742—791no—
793#2741—791no—
794#2741—791no—
795#2717—791no—
796#2717—791no—
797#2702—791no—
798#2702—791no—
799#2692—791no—
800#2692—791no—
801#2691—791no—
802#2691—791no—
803#2672—791no—
804#2672—791no—
805#2659—791no—
806#2639—791no—
807#2481—791no—
808#2481—791no—
809#2472—791no—
810#2472—791no—
811#2449—791no—
812#2449—791no—
813#2418—791no—
814#2418—791no—
815#2329—791no—
816#2325—791no—
817C2×#380—791no—
818C79#3672911yescharacteristic, complemented, Sylow
819C24×C4—791no—
820C2×#126—791no—
821C2×#126—791no—
822C2×#124—791no—
823C2×#124—791no—
824C2×#123—791no—
825C2×#123—791no—
826C2×C22⋊Q8—791no—
827C2×C22⋊Q8—791no—
828C2×C22⋊Q8—791no—
829C2×C22⋊Q8—791no—
830C2×C22⋊Q8—791no—
831C2×C22⋊Q8—791no—
832C2×C22⋊Q8—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#120—791no—
837C2×#120—791no—
838C2×C4×D4—791no—
839C2×C4×D4—791no—
840C22×C4⋊C4—791no—
841C22×C4⋊C4—791no—
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844#400—791no—
845#400—791no—
846#400—791no—
847#400—791no—
848#400C2×D7911yescharacteristic, complemented
849#400C2×D7911yescharacteristic, complemented
850#399—791no—
851#399—791no—
852#399—791no—
853#399—791no—
854#398—791no—
855#398—791no—
856#398—791no—
857#398—791no—
858#398C2×D7911yescharacteristic, complemented
859#398C2×D7911yescharacteristic, complemented
860#397—791no—
861#397—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397C2×D7911yescharacteristic
867#397C2×D7911yescharacteristic
868#396—791no—
869#396—791no—
870#396—791no—
871#396—791no—
872#395—791no—
873#395—791no—
874#395—791no—
875#395—791no—
876#395—791no—
877#395—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#394—791no—
884#394—791no—
885#394—791no—
886#394—791no—
887#394—791no—
888#393—791no—
889#393—791no—
890#393—791no—
891#393—791no—
892#391—791no—
893#391—791no—
894#390—791no—
895#390—791no—
896#389—791no—
897#389—791no—
898#389—791no—
899#389—791no—
900#388—791no—
901#388—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#388—791no—
910#388C2×D7911yescharacteristic
911#388C2×D7911yescharacteristic
912#387—791no—
913#387—791no—
914#387—791no—
915#387—791no—
916#387—791no—
917#387—791no—
918#387—791no—
919#387—791no—
920#387C2×D7911yescharacteristic, complemented
921#387C2×D7911yescharacteristic, complemented
922#387C2×D7911yescharacteristic, complemented
923#387C2×D7911yescharacteristic, complemented
924#386—791no—
925#386—791no—
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#385—791no—
941#385—791no—
942#385—791no—
943#385—791no—
944#385—791no—
945#385—791no—
946#385—791no—
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385C2×D7911yescharacteristic
952#380—791no—
953#380—791no—
954#380—791no—
955#380—791no—
956#380—791no—
957#380—791no—
958#380—791no—
959#380—791no—
960#380—791no—
961#380—791no—
962#380—791no—
963#380—791no—
964#380—791no—
965#380—791no—
966#380C2×D7911yescharacteristic
967#380C2×D7911yescharacteristic
968#379—791no—
969#379—791no—
970C4×C22⋊C4—791no—
971C4×C22⋊C4—791no—
972C2×#95—791no—
973C2×#95—791no—
974C25—791no—
975C22×Q8—791no—
976C22×Q8—791no—
977C22×Q8—791no—
978C22×D4—791no—
979C22×D4—791no—
980C22×D4—791no—
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4—791no—
985C23×C4—3162no—
986C23×C4—3162no—
987C23×C4—791no—
988C23×C4—791no—
989C23×C4—791no—
990C23×C4—791no—
991C23×C4—791no—
992C23×C4—791no—
993C23×C4—791no—
994C23×C4—791no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—1584no—
999C23×C4C22×D7911yescharacteristic
1000#126—3162no—
1001#126—3162no—
1002#124—3162no—
1003#124—3162no—
1004#123—3162no—
1005#123—3162no—
1006C22⋊Q8—3162no—
1007C22⋊Q8—3162no—
1008C22⋊Q8—3162no—
1009C22⋊Q8—3162no—
1010C22⋊Q8—3162no—
1011C22⋊Q8—3162no—
1012C22⋊Q8—1584no—
1013#121—3162no—
1014#121—3162no—
1015#121—1584no—
1016#120—3162no—
1017#120—3162no—
1018C4×D4—3162no—
1019C4×D4—3162no—
1020C2×C4⋊C4—3162no—
1021C2×C4⋊C4—3162no—
1022C2×C4⋊C4—791no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—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×C4⋊C4C22×D7911yescharacteristic
1054C2×C4⋊C4C22×D7911yescharacteristic
1055C2×C4⋊C4C22×D7911yescharacteristic
1056C2×C4⋊C4C22×D7911yescharacteristic
1057C2×C4⋊C4C22×D7911yescharacteristic
1058C2×C22⋊C4—3162no—
1059C2×C22⋊C4—3162no—
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⋊C4—791no—
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C22⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4C22×D7911yescharacteristic
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
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#95C22×D7911yescharacteristic
1141#95C22×D7911yescharacteristic
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
1156C24—3161no—
1157C24—3161no—
1158C24—791no—
1159C24—791no—
1160C24—791no—
1161C24—791no—
1162C24—1582no—
1163C24—1582no—
1164C24—1582no—
1165C24—1582no—
1166C24—1582no—
1167C24C23×D7911yescharacteristic
1168C2×Q8—3161no—
1169C2×Q8—3161no—
1170C2×Q8—3161no—
1171C2×Q8—3161no—
1172C2×Q8—3161no—
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—1582no—
1177C2×D4—3161no—
1178C2×D4—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—1582no—
1188C2×D4—1582no—
1189C2×D4—1582no—
1190C2×D4—1582no—
1191C2×D4—1582no—
1192C2×D4—1582no—
1193C2×D4—1582no—
1194C2×D4—1582no—
1195C2×D4—1582no—
1196C2×D4—1582no—
1197C2×D4—1582no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—3161no—
1202C22×C4—3161no—
1203C22×C4—3161no—
1204C22×C4—3161no—
1205C22×C4—3161no—
1206C22×C4—3161no—
1207C22×C4—3161no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—31616no—
1220C22×C4—3161no—
1221C22×C4—794no—
1222C22×C4—791no—
1223C22×C4—791no—
1224C22×C4—791no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—1582no—
1235C22×C4—1582no—
1236C22×C4—1582no—
1237C22×C4—1582no—
1238C22×C4—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4—1582no—
1245C22×C4—1582no—
1246C22×C4—1582no—
1247C22×C4C23×D7911yescharacteristic
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
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—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—1582no—
1290C4⋊C4—1582no—
1291C4⋊C4—1582no—
1292C4⋊C4—1582no—
1293C4⋊C4—1582no—
1294C4⋊C4—1582no—
1295C4⋊C4—1582no—
1296C4⋊C4—1582no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
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—1582no—
1327C22⋊C4—1582no—
1328C22⋊C4—1582no—
1329C22⋊C4—1582no—
1330C22⋊C4—1582no—
1331C22⋊C4—1582no—
1332C22⋊C4—1582no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C42—41no—
1344C42—41no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—3164no—
1356C23—3164no—
1357C23—3164no—
1358C23—3164no—
1359C23—3164no—
1360C23—3164no—
1361C23—792no—
1362C23—792no—
1363C23—792no—
1364C23—792no—
1365C23—1588no—
1366C23—1581no—
1367C23—1581no—
1368C23—1581no—
1369C23—1581no—
1370C23—1581no—
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#1457920712yes—
1391C23C24×D7911yescharacteristic
1392Q8—6322no—
1393Q8—6322no—
1394Q8—6322no—
1395D4—3164no—
1396D4—3164no—
1397D4—6322no—
1398D4—6322no—
1399D4—6322no—
1400D4—6322no—
1401D4—6322no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—44no—
1443C2×C4—3164no—
1444C2×C4—3164no—
1445C2×C4—3164no—
1446C2×C4—3164no—
1447C2×C4—792no—
1448C2×C4—792no—
1449C2×C4—6322no—
1450C2×C4—6322no—
1451C2×C4—6322no—
1452C2×C4—6322no—
1453C2×C4—6322no—
1454C2×C4—6322no—
1455C2×C4—1588no—
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#41×D7912yes—
1491C2×C4#1457920712yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—31616no—
1500C22—3161no—
1501C22—3161no—
1502C22—3161no—
1503C22—3161no—
1504C22—3161no—
1505C22—3161no—
1506C22—3161no—
1507C22—3161no—
1508C22—3161no—
1509C22—3161no—
1510C22—3161no—
1511C22—3161no—
1512C22—3161no—
1513C22—3161no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—794no—
1519C22—1582no—
1520C22—1582no—
1521C22—1582no—
1522C22—1582no—
1523C22—1582no—
1524C22—1582no—
1525C22—1582no—
1526C22—1582no—
1527C22—1582no—
1528C22C2×#41×D7911yescharacteristic
1529C22H(5,𝔽2)×D7911yescharacteristic
1530C22H(5,𝔽2)×D7911yescharacteristic
1531C22C2×#1457920711yescharacteristic
1532C22C2×#1457920711yescharacteristic
1533C222−1+4×D7911yescharacteristic
1534C222−1+4×D7911yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—3161no—
1550C4—3161no—
1551C4—3161no—
1552C4—3161no—
1553C4—3161no—
1554C4—3161no—
1555C4—3161no—
1556C4—3161no—
1557C4—3161no—
1558C4—3161no—
1559C4—1582no—
1560C4—1582no—
1561C2—42no—
1562C2—3162no—
1563C2—6321no—
1564C2—6321no—
1565C2—1584no—
1566C2#542×D7911yescharacteristic
1567C2#2377708411yescharacteristic
1568C2#2377710011yescharacteristic
1569C2#2377761911yescharacteristic
1570C2#2377762411yescharacteristic
1571C2#2377763611yescharacteristic
1572C2#2377764811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2747C2
prime radical#23771683C2
hypercenter#2747D79
hypocenterC79#36729
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2747

Complements

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

NH ≅ G/Ntype
1. #23771686C2semidirect
3. #23770595C2semidirect
4. #23770528C2semidirect
5. #23770524C2semidirect
6. #23770522C2semidirect
7. #23770510C2semidirect
8. #23770234C2semidirect
9. #23770234C2semidirect
10. #23770029C2semidirect
11. #23770025C2semidirect
12. #23769898C2semidirect
13. #23769894C2semidirect
14. #23769888C2semidirect
15. #23769884C2semidirect
16. #23769654C2semidirect
17. #23769652C2semidirect
18. #23769515C2semidirect
19. #23769332C2semidirect
20. #23767665C2semidirect
21. #23767664C2semidirect
22. #23767524C2semidirect
23. #23767519C2semidirect
24. #23767214C2semidirect
25. #23767204C2semidirect
26. #23766867C2semidirect
27. #23766863C2semidirect
28. #23766127C2semidirect
29. #23766099C2semidirect
30. #380×D79C2semidirect
31. C79×#2747C2semidirect
33. C2×#14579156C22semidirect
34. C2×#14579155C22semidirect
40. C2×#14579141C22semidirect
44. C2×#14579139C22semidirect
57. #19098505C22semidirect
58. #19098505C22semidirect
59. #19098504C22semidirect
60. #19098501C22semidirect
62. #19098500C22semidirect
64. #19098498C22semidirect
65. #19098496C22semidirect
66. #19098496C22semidirect
67. #19098495C22semidirect
68. #19098494C22semidirect
69. #19098492C22semidirect
70. #19098492C22semidirect
71. #19098492C22semidirect
72. #19098492C22semidirect
75. #19098487C22semidirect
76. #19098485C22semidirect
77. #19098485C22semidirect
78. #19098485C22semidirect
79. #19098484C22semidirect
80. #19098484C22semidirect
81. #19098484C22semidirect
82. #19098484C22semidirect
83. #19098483C22semidirect
84. #19098483C22semidirect
87. #19098481C22semidirect
90. #19098480C22semidirect
97. #19098476C22semidirect
98. #19098476C22semidirect
99. #19098469C22semidirect
100. #19098467C22semidirect
103. #19098462C22semidirect
104. #19098461C22semidirect
105. #19098460C22semidirect
106. #19098460C22semidirect
110. #19098455C22semidirect
112. #19098454C22semidirect
113. #19098453C22semidirect
115. #19098452C22semidirect
117. #19098450C22semidirect
118. #19098450C22semidirect
119. #19098450C22semidirect
120. #19098449C22semidirect
121. #19098446C22semidirect
122. #19098445C22semidirect
123. #19098445C22semidirect
124. #19098444C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
145. #19098437C22semidirect
146. #19098437C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
172. #400×C79C22semidirect
173. #400×C79C22semidirect
174. #398×C79C22semidirect
175. #398×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
183. #387×C79C22semidirect
790. #2747D79semidirect
818. C79#36729semidirect
848. #400C2×D79semidirect
849. #400C2×D79semidirect
858. #398C2×D79semidirect
859. #398C2×D79semidirect
920. #387C2×D79semidirect
921. #387C2×D79semidirect
922. #387C2×D79semidirect
923. #387C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716862
#237716832
#237705952
#237705282
#237705242
#237705222
#237705102
#237702342
#237700292
#237700252
#237698982
#237698942
#237698882
#237698842
#237696542
#237696522
#237695152
#237693322
#237676652
#237676642
#237675242
#237675192
#237672142
#237672042
#237668672
#237668632
#237661272
#237660992
#380×D792
C79×#27472
#3672979