Finite Group Databasebeta

← #34496128

Subgroups — #34496128

Order 20224.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771686C211yesmaximal, characteristic, complemented
2#23771679C211yesmaximal, characteristic, complemented
3#23771262C211yesmaximal, characteristic, complemented
4#23771069C211yesmaximal, characteristic, complemented
5#23771027C211yesmaximal, characteristic, complemented
6#23771014C211yesmaximal, characteristic, complemented
7#23771013C211yesmaximal, characteristic, complemented
8#23770729C211yesmaximal, characteristic, complemented
9#23770674C211yesmaximal, characteristic, complemented
10#23770629C211yesmaximal, characteristic, complemented
11#23770521C211yesmaximal, characteristic, complemented
12#23770396C211yesmaximal, characteristic, complemented
13#23770201C211yesmaximal, characteristic, complemented
14#23770046C211yesmaximal, characteristic, complemented
15#23770026C211yesmaximal, characteristic, complemented
16#23769950C211yesmaximal, characteristic, complemented
17#23769834C211yesmaximal, characteristic, complemented
18#23769703C211yesmaximal, characteristic, complemented
19#23769116C211yesmaximal, characteristic, complemented
20#23769116C211yesmaximal, characteristic, complemented
21#23767785C211yesmaximal, characteristic, complemented
22#23767730C211yesmaximal, characteristic, complemented
23#23767653C211yesmaximal, characteristic, complemented
24#23767528C211yesmaximal, characteristic, complemented
25#23766942C211yesmaximal, characteristic, complemented
26#23766873C211yesmaximal, characteristic, complemented
27#23766856C211yesmaximal, characteristic, complemented
28#23766063C211yesmaximal, characteristic, complemented
29#23766054C211yesmaximal, characteristic, complemented
30C2×#19098441C211yesmaximal, characteristic, complemented
31C79×#2425C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579144C2211yescharacteristic, complemented
37C2×#14579139C2211yescharacteristic, complemented
38C2×#14579139C2211yescharacteristic, complemented
39C2×#14579138C2211yescharacteristic
40C2×#14579133C2211yescharacteristic, complemented
41C2×#14579132C2211yescharacteristic, complemented
42C2×#14579132C2211yescharacteristic, complemented
43C2×#14579129C2211yescharacteristic
44C2×#14579129C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×D4×Dic79C2211yescharacteristic
48C22×(C2×D79)⋊C4C2211yescharacteristic
49C22×(C2×D79)⋊C4C2211yescharacteristic
50C22×(C2×D79)⋊C4C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098504C2211yescharacteristic, complemented
54#19098503C2211yescharacteristic, complemented
55#19098502C2211yescharacteristic, complemented
56#19098501C2211yescharacteristic, complemented
57#19098501C2211yescharacteristic, complemented
58#19098498C2211yescharacteristic, complemented
59#19098493C2211yescharacteristic, complemented
60#19098492C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098491C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098490C2211yescharacteristic, complemented
65#19098489C2211yescharacteristic, complemented
66#19098489C2211yescharacteristic, complemented
67#19098488C2211yescharacteristic, complemented
68#19098485C2211yescharacteristic, complemented
69#19098485C2211yescharacteristic, complemented
70#19098480C2211yescharacteristic
71#19098480C2211yescharacteristic
72#19098480C2211yescharacteristic
73#19098480C2211yescharacteristic
74#19098480C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098480C2211yescharacteristic
78#19098479C2211yescharacteristic, complemented
79#19098479C2211yescharacteristic, complemented
80#19098478C2211yescharacteristic, complemented
81#19098478C2211yescharacteristic, complemented
82#19098478C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic, complemented
84#19098476C2211yescharacteristic, complemented
85#19098475C2211yescharacteristic, complemented
86#19098472C2211yescharacteristic
87#19098472C2211yescharacteristic
88#19098472C2211yescharacteristic
89#19098472C2211yescharacteristic
90#19098472C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098471C2211yescharacteristic, complemented
95#19098468C2211yescharacteristic, complemented
96#19098463C2211yescharacteristic, complemented
97#19098463C2211yescharacteristic, complemented
98#19098463C2211yescharacteristic, complemented
99#19098463C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic, complemented
101#19098463C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098455C2211yescharacteristic, complemented
105#19098455C2211yescharacteristic, complemented
106#19098455C2211yescharacteristic, complemented
107#19098455C2211yescharacteristic, complemented
108#19098454C2211yescharacteristic, complemented
109#19098454C2211yescharacteristic, complemented
110#19098454C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic, complemented
112#19098453C2211yescharacteristic, complemented
113#19098453C2211yescharacteristic, complemented
114#19098453C2211yescharacteristic, complemented
115#19098453C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic, complemented
117#19098452C2211yescharacteristic, complemented
118#19098452C2211yescharacteristic, complemented
119#19098452C2211yescharacteristic, complemented
120#19098450C2211yescharacteristic, complemented
121#19098448C2211yescharacteristic, complemented
122#19098445C2211yescharacteristic, complemented
123#19098444C2211yescharacteristic, complemented
124#19098444C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic
126#19098443C2211yescharacteristic
127#19098443C2211yescharacteristic
128#19098442C2211yescharacteristic, complemented
129#19098442C2211yescharacteristic, complemented
130#19098442C2211yescharacteristic, complemented
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098441C2211yescharacteristic
137#19098441C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098440C2211yescharacteristic, complemented
140#19098440C2211yescharacteristic, complemented
141#19098440C2211yescharacteristic, complemented
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098439C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098436C2211yescharacteristic
149#19098436C2211yescharacteristic
150#19098435C2211yescharacteristic
151#19098435C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098434C2211yescharacteristic, complemented
154#19098430C2211yescharacteristic, complemented
155#19098428C2211yescharacteristic, complemented
156#19098426C2211yescharacteristic
157#19098426C2211yescharacteristic
158#19098424C2211yescharacteristic, complemented
159#19098423C2211yescharacteristic
160#19098422C2211yescharacteristic, complemented
161#19098422C2211yescharacteristic, complemented
162#19098421C2211yescharacteristic
163#19098420C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic
170C4×C22⋊Dic79C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174C2×#121×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic, complemented
180#389×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic, complemented
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316—24no—
191C22×D316—42no—
192C22×D316—42no—
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79—42no—
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215#14579156—42no—
216#14579147—42no—
217#14579144—42no—
218#14579139—42no—
219#14579139—42no—
220#14579138—42no—
221#14579133—42no—
222#14579132—42no—
223#14579132—42no—
224#14579129—24no—
225#14579129—24no—
226#14579129—42no—
227#14579129—42no—
228D4×Dic79—42no—
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×(C2×D79)⋊C4—42no—
255C2×(C2×D79)⋊C4—42no—
256C2×(C2×D79)⋊C4—42no—
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×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
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
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#123×C79—42no—
338#123×C79—42no—
339#121×C79—42no—
340C4×D4×C79—42no—
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊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
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C42×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×D79—41no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79#4114yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C23×D79C2411yescharacteristic
387C2×Dic158—22no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—22no—
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—416no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C22×Dic79—22no—
428C22×Dic79—22no—
429C22×Dic79—22no—
430C22×Dic79—41no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79—41no—
435C22×Dic79—41no—
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—416no—
461C4⋊Dic79—22no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
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—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—
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—
526C4×Dic79—41no—
527C24×C79C2411yescharacteristic
528C24×C79C2411yescharacteristic
529C24×C79C2411yescharacteristic
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C2×D4×C79—22no—
533C2×D4×C79—22no—
534C2×D4×C79—22no—
535C2×D4×C79—22no—
536C2×D4×C79—22no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C22×C4×C79—22no—
540C22×C4×C79—22no—
541C22×C4×C79—22no—
542C22×C4×C79—22no—
543C22×C4×C79—22no—
544C22×C4×C79—22no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C4⋊C4×C79—22no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C4⋊C4×C79—41no—
569C4⋊C4×C79—41no—
570C4⋊C4×C79—41no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×C79—41no—
581C22⋊C4×C79—41no—
582C42×C79—41no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79C2×#4112yes—
602C23×C79H(5,𝔽2)12yes—
603C23×C79H(5,𝔽2)12yes—
604C23×C79C2511yescharacteristic
605C22×D79—28no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—44no—
633C22×D79—44no—
634C22×D79—44no—
635C22×D79—44no—
636C22×D79—44no—
637C22×D79—44no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—82no—
642C22×D79—82no—
643C22×D79—82no—
644C22×D79—82no—
645C22×D79C2×#4112yes—
646C22×D79C2×#4112yes—
647D4×C79—44no—
648D4×C79—44no—
649D4×C79—82no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—44no—
686C2×C4×C79—44no—
687C2×C4×C79—82no—
688C2×C4×C79—82no—
689C2×C4×C79H(5,𝔽2)12yes—
690C22⋊D79—82no—
691C22⋊D79—82no—
692C22⋊D79—82no—
693C22⋊D79—82no—
694C22⋊D79—82no—
695C22⋊D79—82no—
696C22⋊D79—82no—
697C22⋊D79—82no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—44no—
734C2×Dic79—82no—
735C2×Dic79—82no—
736C2×Dic79H(5,𝔽2)12yes—
737D316—44no—
738D316—44no—
739D316—44no—
740D316—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—44no—
744C4×D79—44no—
745Dic158—82no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79#53814yes—
767C22×C79C22×#4111yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79C2×H(5,𝔽2)11yescharacteristic
772C22×C79#58511yescharacteristic
773C22×C79#58511yescharacteristic
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—22no—
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—22no—
780C2×D79—416no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C2×D79—41no—
800C2×D79—41no—
801C2×D79—41no—
802C2×D79—41no—
803C2×D79—88no—
804C4×C79—22no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79—41no—
816Dic79—22no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824Dic79—41no—
825Dic79—41no—
826Dic79—41no—
827Dic79—41no—
828#36758—791nomaximal, Sylow
829C2×C79—24no—
830C2×C79—81no—
831C2×C79—81no—
832C2×C79C2×#53811yescharacteristic
833C2×C79#350511yescharacteristic
834C2×C79#350511yescharacteristic
835C2×C79#353211yescharacteristic
836C2×C79#353311yescharacteristic
837C2×C79#354211yescharacteristic
838C2×C79#354211yescharacteristic
839D79—42no—
840D79—42no—
841D79—81no—
842D79—81no—
843#2848—791no—
844#2847—791no—
845#2797—791no—
846#2781—791no—
847#2779—791no—
848#2778—791no—
849#2778—791no—
850#2756—791no—
851#2753—791no—
852#2749—791no—
853#2741—791no—
854#2730—791no—
855#2714—791no—
856#2703—791no—
857#2702—791no—
858#2696—791no—
859#2688—791no—
860#2676—791no—
861#2613—791no—
862#2613—791no—
863#2493—791no—
864#2488—791no—
865#2480—791no—
866#2472—791no—
867#2425D7911yescharacteristic, complemented
868#2424—791no—
869#2419—791no—
870#2418—791no—
871#2321—791no—
872#2321—791no—
873C2×#386—791no—
874C79#3675811yescharacteristic, complemented, Sylow
875C23×D4—791no—
876C24×C4—791no—
877C2×#126—791no—
878C2×#124—791no—
879C2×#123—791no—
880C2×#123C2×D7911yescharacteristic
881C2×#123C2×D7911yescharacteristic
882C2×C22⋊Q8—791no—
883C2×C22⋊Q8—791no—
884C2×C22⋊Q8—791no—
885C2×#121—791no—
886C2×#121—791no—
887C2×#121—791no—
888C2×#121C2×D7911yescharacteristic
889C2×#120—791no—
890C2×#120—791no—
891C2×#120—791no—
892C2×#120—791no—
893C2×C4×D4—791no—
894C2×C4×D4C2×D7911yescharacteristic
895C22×C22⋊C4—791no—
896C22×C22⋊C4—791no—
897C22×C22⋊C4—791no—
898#401—791no—
899#400—791no—
900#400—791no—
901#400—791no—
902#400—791no—
903#400—791no—
904#400—791no—
905#399—791no—
906#398—791no—
907#398C2×D7911yescharacteristic, complemented
908#397—791no—
909#397—791no—
910#397—791no—
911#397—791no—
912#397—791no—
913#397—791no—
914#397—791no—
915#397—791no—
916#397C2×D7911yescharacteristic, complemented
917#396—791no—
918#396—791no—
919#396C2×D7911yescharacteristic, complemented
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394—791no—
927#394—791no—
928#394—791no—
929#394—791no—
930#394—791no—
931#394—791no—
932#394—791no—
933#394—791no—
934#394C2×D7911yescharacteristic, complemented
935#393—791no—
936#393—791no—
937#392—791no—
938#392—791no—
939#392—791no—
940#392—791no—
941#392—791no—
942#392—791no—
943#392—791no—
944#392—791no—
945#392—791no—
946#391—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#390—791no—
952#390—791no—
953#389C2×D7911yescharacteristic, complemented
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388C2×D7911yescharacteristic, complemented
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#386—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386C2×D7911yescharacteristic
1000#386C2×D7911yescharacteristic, complemented
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385C2×D7911yescharacteristic
1010#383—791no—
1011#382—791no—
1012#381—791no—
1013#381—791no—
1014#381—791no—
1015#380—791no—
1016#380—791no—
1017#380—791no—
1018#380—791no—
1019#380—791no—
1020#380—791no—
1021#380C2×D7911yescharacteristic, complemented
1022#379—791no—
1023#379—791no—
1024#379—791no—
1025#379—791no—
1026C4×C22⋊C4—791no—
1027C4×C22⋊C4—791no—
1028C2×#95—791no—
1029C2×#95C2×D7911yescharacteristic
1030C25—791no—
1031C25—791no—
1032C22×Q8—791no—
1033C22×D4—3162no—
1034C22×D4—3162no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
1042C22×D4—791no—
1043C22×D4—791no—
1044C22×D4—791no—
1045C22×D4—791no—
1046C22×D4—791no—
1047C22×D4—1584no—
1048C22×D4C22×D7911yescharacteristic
1049C22×D4C22×D7911yescharacteristic
1050C22×D4C22×D7911yescharacteristic
1051C23×C4—3162no—
1052C23×C4—3162no—
1053C23×C4—3162no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4—791no—
1058C23×C4—791no—
1059C23×C4—791no—
1060C23×C4—791no—
1061C23×C4C22×D7911yescharacteristic
1062C23×C4C22×D7911yescharacteristic
1063C23×C4C22×D7911yescharacteristic
1064C23×C4C22×D7911yescharacteristic
1065#126—3162no—
1066#124—3162no—
1067#123—42no—
1068#123—42no—
1069#123—3162no—
1070C22⋊Q8—3162no—
1071C22⋊Q8—3162no—
1072C22⋊Q8—3162no—
1073#121—42no—
1074#121—3162no—
1075#121—3162no—
1076#121—3162no—
1077#120—3162no—
1078#120—3162no—
1079#120—1584no—
1080#120—1584no—
1081C4×D4—42no—
1082C4×D4—3162no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4—791no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C4⋊C4C22×D7911yescharacteristic
1099C2×C4⋊C4C22×D7911yescharacteristic
1100C2×C4⋊C4C22×D7911yescharacteristic
1101C2×C4⋊C4C22×D7911yescharacteristic
1102C2×C4⋊C4C22×D7911yescharacteristic
1103C2×C4⋊C4C22×D7911yescharacteristic
1104C2×C4⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4—3162no—
1106C2×C22⋊C4—3162no—
1107C2×C22⋊C4—3162no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C22⋊C4C22×D7911yescharacteristic
1158C2×C22⋊C4C22×D7911yescharacteristic
1159C2×C22⋊C4C22×D7911yescharacteristic
1160C2×C22⋊C4C22×D7911yescharacteristic
1161C2×C22⋊C4C22×D7911yescharacteristic
1162C2×C22⋊C4C22×D7911yescharacteristic
1163C2×C22⋊C4C22×D7911yescharacteristic
1164C2×C22⋊C4C22×D7911yescharacteristic
1165C2×C22⋊C4C22×D7911yescharacteristic
1166C2×C42—791no—
1167C2×C42—791no—
1168C2×C42—791no—
1169C2×C42—791no—
1170C2×C42—791no—
1171C2×C42C22×D7911yescharacteristic
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95C22×D7911yescharacteristic
1205#95C22×D7911yescharacteristic
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212C24—3161no—
1213C24—3161no—
1214C24—3161no—
1215C24—3161no—
1216C24—3161no—
1217C24—3161no—
1218C24—3161no—
1219C24—3161no—
1220C24—794no—
1221C24—791no—
1222C24—791no—
1223C24—791no—
1224C24—791no—
1225C24—1582no—
1226C24—1582no—
1227C24—1582no—
1228C24—1582no—
1229C24—1582no—
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232C24C23×D7911yescharacteristic
1233C2×Q8—3161no—
1234C2×Q8—3161no—
1235C2×Q8—1582no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—31616no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—3161no—
1268C2×D4—3161no—
1269C2×D4—3161no—
1270C2×D4—3161no—
1271C2×D4—3161no—
1272C2×D4—3161no—
1273C2×D4—3161no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—3161no—
1302C22×C4—31616no—
1303C22×C4—3161no—
1304C22×C4—3161no—
1305C22×C4—3161no—
1306C22×C4—3161no—
1307C22×C4—3161no—
1308C22×C4—3161no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4—1582no—
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—3161no—
1349C4⋊C4—3161no—
1350C4⋊C4—3161no—
1351C4⋊C4—3161no—
1352C4⋊C4—3161no—
1353C4⋊C4—3161no—
1354C4⋊C4—3161no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—1582no—
1360C4⋊C4—1582no—
1361C4⋊C4—1582no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—3161no—
1396C22⋊C4—3161no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
1399C22⋊C4—3161no—
1400C22⋊C4—3161no—
1401C22⋊C4—3161no—
1402C22⋊C4—3161no—
1403C22⋊C4—3161no—
1404C22⋊C4—3161no—
1405C22⋊C4—3161no—
1406C22⋊C4—1582no—
1407C22⋊C4—1582no—
1408C22⋊C4—1582no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C42—41no—
1421C42—3161no—
1422C42—3161no—
1423C42—3161no—
1424C42—3161no—
1425C42—3161no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—3164no—
1445C23—3164no—
1446C23—3164no—
1447C23—3164no—
1448C23—3164no—
1449C23—3164no—
1450C23—3164no—
1451C23—3164no—
1452C23—3164no—
1453C23—792no—
1454C23—792no—
1455C23—6322no—
1456C23—6322no—
1457C23—6322no—
1458C23—6322no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23—1581no—
1482C23—1581no—
1483C23—1581no—
1484C23—1581no—
1485C23—1588no—
1486C23#41×D7912yes—
1487C23#1457920612yes—
1488C23#1457920612yes—
1489C23C24×D7911yescharacteristic
1490Q8—6322no—
1491D4—44no—
1492D4—44no—
1493D4—82no—
1494D4—3164no—
1495D4—3164no—
1496D4—3164no—
1497D4—3164no—
1498D4—6322no—
1499D4—6322no—
1500D4—6322no—
1501D4—6322no—
1502D4—6322no—
1503D4—6322no—
1504D4—6322no—
1505D4—6322no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—3164no—
1546C2×C4—3164no—
1547C2×C4—3164no—
1548C2×C4—3164no—
1549C2×C4—3164no—
1550C2×C4—792no—
1551C2×C4—6322no—
1552C2×C4—6322no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4#1457920712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—31616no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—3161no—
1628C22—3161no—
1629C22—3161no—
1630C22—3161no—
1631C22—3161no—
1632C22—6328no—
1633C22—1582no—
1634C22—1582no—
1635C22—1582no—
1636C22—1582no—
1637C22—1582no—
1638C22—1582no—
1639C22#1909914514yes—
1640C22C2×#41×D7911yescharacteristic
1641C22H(5,𝔽2)×D7911yescharacteristic
1642C22C2×#1457920611yescharacteristic
1643C22C2×#1457920611yescharacteristic
1644C22C2×#1457920711yescharacteristic
1645C22#1909939911yescharacteristic
1646C22#1909940011yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—3161no—
1660C4—3161no—
1661C4—3161no—
1662C4—3161no—
1663C4—3161no—
1664C4—3161no—
1665C4—3161no—
1666C4—3161no—
1667C4—3161no—
1668C4—3161no—
1669C4—3161no—
1670C4—1582no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—3162no—
1675C2—3162no—
1676C2—6321no—
1677C2—6321no—
1678C2C2×#1909914511yescharacteristic
1679C2#2377723211yescharacteristic
1680C2#2377723511yescharacteristic
1681C2#2377754911yescharacteristic
1682C2#2377757011yescharacteristic
1683C2#2377770111yescharacteristic
1684C2#2377771711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2425C2
hypercenter#2425D79
hypocenterC79#36758
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #23771686C2semidirect
2. #23771679C2semidirect
3. #23771262C2semidirect
4. #23771069C2semidirect
5. #23771027C2semidirect
6. #23771014C2semidirect
7. #23771013C2semidirect
8. #23770729C2semidirect
9. #23770674C2semidirect
10. #23770629C2semidirect
11. #23770521C2semidirect
12. #23770396C2semidirect
13. #23770201C2semidirect
14. #23770046C2semidirect
15. #23770026C2semidirect
16. #23769950C2semidirect
17. #23769834C2semidirect
18. #23769703C2semidirect
19. #23769116C2semidirect
20. #23769116C2semidirect
21. #23767785C2semidirect
22. #23767730C2semidirect
23. #23767653C2semidirect
24. #23767528C2semidirect
25. #23766942C2semidirect
26. #23766873C2semidirect
27. #23766856C2semidirect
28. #23766063C2semidirect
29. #23766054C2semidirect
30. C2×#19098441C2semidirect
31. C79×#2425C2semidirect
34. C2×#14579156C22semidirect
35. C2×#14579147C22semidirect
36. C2×#14579144C22semidirect
37. C2×#14579139C22semidirect
38. C2×#14579139C22semidirect
40. C2×#14579133C22semidirect
41. C2×#14579132C22semidirect
42. C2×#14579132C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098504C22semidirect
54. #19098503C22semidirect
55. #19098502C22semidirect
56. #19098501C22semidirect
57. #19098501C22semidirect
58. #19098498C22semidirect
59. #19098493C22semidirect
60. #19098492C22semidirect
61. #19098492C22semidirect
62. #19098491C22semidirect
63. #19098491C22semidirect
64. #19098490C22semidirect
65. #19098489C22semidirect
66. #19098489C22semidirect
67. #19098488C22semidirect
68. #19098485C22semidirect
69. #19098485C22semidirect
78. #19098479C22semidirect
79. #19098479C22semidirect
80. #19098478C22semidirect
81. #19098478C22semidirect
82. #19098478C22semidirect
83. #19098478C22semidirect
84. #19098476C22semidirect
85. #19098475C22semidirect
94. #19098471C22semidirect
95. #19098468C22semidirect
96. #19098463C22semidirect
97. #19098463C22semidirect
98. #19098463C22semidirect
99. #19098463C22semidirect
100. #19098463C22semidirect
101. #19098463C22semidirect
102. #19098457C22semidirect
103. #19098457C22semidirect
104. #19098455C22semidirect
105. #19098455C22semidirect
106. #19098455C22semidirect
107. #19098455C22semidirect
108. #19098454C22semidirect
109. #19098454C22semidirect
110. #19098454C22semidirect
111. #19098454C22semidirect
112. #19098453C22semidirect
113. #19098453C22semidirect
114. #19098453C22semidirect
115. #19098453C22semidirect
116. #19098452C22semidirect
117. #19098452C22semidirect
118. #19098452C22semidirect
119. #19098452C22semidirect
120. #19098450C22semidirect
121. #19098448C22semidirect
122. #19098445C22semidirect
123. #19098444C22semidirect
124. #19098444C22semidirect
128. #19098442C22semidirect
129. #19098442C22semidirect
130. #19098442C22semidirect
139. #19098440C22semidirect
140. #19098440C22semidirect
141. #19098440C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
144. #19098439C22semidirect
145. #19098439C22semidirect
146. #19098437C22semidirect
147. #19098437C22semidirect
151. #19098435C22semidirect
152. #19098434C22semidirect
153. #19098434C22semidirect
154. #19098430C22semidirect
155. #19098428C22semidirect
158. #19098424C22semidirect
160. #19098422C22semidirect
161. #19098422C22semidirect
163. #19098420C22semidirect
164. #19098420C22semidirect
176. #398×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
179. #394×C79C22semidirect
180. #389×C79C22semidirect
181. #388×C79C22semidirect
183. #386×C79C22semidirect
185. #380×C79C22semidirect
867. #2425D79semidirect
874. C79#36758semidirect
907. #398C2×D79semidirect
916. #397C2×D79semidirect
919. #396C2×D79semidirect
934. #394C2×D79semidirect
953. #389C2×D79semidirect
972. #388C2×D79semidirect
1000. #386C2×D79semidirect
1021. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716862
#237716792
#237712622
#237710692
#237710272
#237710142
#237710132
#237707292
#237706742
#237706292
#237705212
#237703962
#237702012
#237700462
#237700262
#237699502
#237698342
#237697032
#237691162
#237677852
#237677302
#237676532
#237675282
#237669422
#237668732
#237668562
#237660632
#237660542
C2×#190984412
C79×#24252
#3675879