Finite Group Databasebeta

← #34497079

Subgroups — #34497079

Order 20224.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771694C211yesmaximal, characteristic, complemented
2#23771680C211yesmaximal, characteristic, complemented
3#23771346C211yesmaximal, characteristic, complemented
4#23771255C211yesmaximal, characteristic, complemented
5#23771143C211yesmaximal, characteristic, complemented
6#23771102C211yesmaximal, characteristic, complemented
7#23771050C211yesmaximal, characteristic, complemented
8#23771020C211yesmaximal, characteristic, complemented
9#23770647C211yesmaximal, characteristic, complemented
10#23770644C211yesmaximal, characteristic, complemented
11#23770563C211yesmaximal, characteristic, complemented
12#23770191C211yesmaximal, characteristic, complemented
13#23770140C211yesmaximal, characteristic, complemented
14#23770120C211yesmaximal, characteristic, complemented
15#23770120C211yesmaximal, characteristic, complemented
16#23769942C211yesmaximal, characteristic, complemented
17#23769808C211yesmaximal, characteristic, complemented
18#23769764C211yesmaximal, characteristic, complemented
19#23769356C211yesmaximal, characteristic, complemented
20#23769330C211yesmaximal, characteristic, complemented
21#23767658C211yesmaximal, characteristic, complemented
22#23767523C211yesmaximal, characteristic, complemented
23#23767133C211yesmaximal, characteristic, complemented
24#23767070C211yesmaximal, characteristic, complemented
25#23767012C211yesmaximal, characteristic, complemented
26#23766940C211yesmaximal, characteristic, complemented
27#23766719C211yesmaximal, characteristic, complemented
28#23766072C211yesmaximal, characteristic, complemented
29#23765988C211yesmaximal, characteristic, complemented
30C2×#19098438C211yesmaximal, characteristic, complemented
31C79×#2411C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C24×Dic79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579147C2211yescharacteristic
36C2×#14579145C2211yescharacteristic
37C2×#14579145C2211yescharacteristic
38C2×#14579145C2211yescharacteristic, complemented
39C2×#14579138C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×#14579133C2211yescharacteristic
45C2×#14579130C2211yescharacteristic
46C2×#14579130C2211yescharacteristic
47C2×D4×Dic79C2211yescharacteristic
48C22×C4⋊Dic79C2211yescharacteristic
49C22×C4⋊Dic79C2211yescharacteristic
50C22×C22⋊Dic79C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098504C2211yescharacteristic, complemented
56#19098502C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098502C2211yescharacteristic, complemented
59#19098501C2211yescharacteristic, complemented
60#19098500C2211yescharacteristic, complemented
61#19098496C2211yescharacteristic, complemented
62#19098496C2211yescharacteristic, complemented
63#19098495C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic, complemented
65#19098492C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic
67#19098491C2211yescharacteristic, complemented
68#19098490C2211yescharacteristic, complemented
69#19098490C2211yescharacteristic, complemented
70#19098489C2211yescharacteristic, complemented
71#19098488C2211yescharacteristic, complemented
72#19098486C2211yescharacteristic
73#19098485C2211yescharacteristic, complemented
74#19098485C2211yescharacteristic, complemented
75#19098483C2211yescharacteristic, complemented
76#19098483C2211yescharacteristic, complemented
77#19098480C2211yescharacteristic, complemented
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic, complemented
81#19098479C2211yescharacteristic, complemented
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic, complemented
84#19098477C2211yescharacteristic
85#19098476C2211yescharacteristic, complemented
86#19098475C2211yescharacteristic
87#19098475C2211yescharacteristic
88#19098475C2211yescharacteristic
89#19098475C2211yescharacteristic, complemented
90#19098475C2211yescharacteristic, complemented
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic, complemented
94#19098471C2211yescharacteristic
95#19098469C2211yescharacteristic, complemented
96#19098469C2211yescharacteristic, complemented
97#19098469C2211yescharacteristic, complemented
98#19098465C2211yescharacteristic, complemented
99#19098465C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098462C2211yescharacteristic, complemented
103#19098462C2211yescharacteristic, complemented
104#19098461C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic
106#19098456C2211yescharacteristic
107#19098456C2211yescharacteristic, complemented
108#19098456C2211yescharacteristic, complemented
109#19098455C2211yescharacteristic, complemented
110#19098455C2211yescharacteristic, complemented
111#19098451C2211yescharacteristic
112#19098449C2211yescharacteristic, complemented
113#19098449C2211yescharacteristic, complemented
114#19098449C2211yescharacteristic, complemented
115#19098448C2211yescharacteristic, complemented
116#19098447C2211yescharacteristic, complemented
117#19098447C2211yescharacteristic, complemented
118#19098446C2211yescharacteristic, complemented
119#19098443C2211yescharacteristic
120#19098443C2211yescharacteristic
121#19098443C2211yescharacteristic
122#19098443C2211yescharacteristic
123#19098442C2211yescharacteristic
124#19098442C2211yescharacteristic
125#19098440C2211yescharacteristic
126#19098440C2211yescharacteristic
127#19098440C2211yescharacteristic
128#19098440C2211yescharacteristic
129#19098440C2211yescharacteristic
130#19098440C2211yescharacteristic
131#19098440C2211yescharacteristic
132#19098440C2211yescharacteristic
133#19098440C2211yescharacteristic
134#19098440C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic, complemented
140#19098439C2211yescharacteristic, complemented
141#19098438C2211yescharacteristic
142#19098438C2211yescharacteristic
143#19098438C2211yescharacteristic
144#19098438C2211yescharacteristic
145#19098438C2211yescharacteristic
146#19098438C2211yescharacteristic
147#19098438C2211yescharacteristic
148#19098438C2211yescharacteristic
149#19098438C2211yescharacteristic
150#19098438C2211yescharacteristic
151#19098438C2211yescharacteristic
152#19098438C2211yescharacteristic
153#19098438C2211yescharacteristic, complemented
154#19098438C2211yescharacteristic, complemented
155#19098438C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic
157#19098434C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159#19098426C2211yescharacteristic
160#19098424C2211yescharacteristic
161#19098424C2211yescharacteristic
162#19098421C2211yescharacteristic
163#19098421C2211yescharacteristic
164#19098421C2211yescharacteristic
165#19098420C2211yescharacteristic, complemented
166#19098420C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic, complemented
169C22⋊C4×Dic79C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic
173C2×#120×C79C2211yescharacteristic
174C2×#117×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176#396×C79C2211yescharacteristic
177#396×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#390×C79C2211yescharacteristic
181#390×C79C2211yescharacteristic
182#388×C79C2211yescharacteristic
183#388×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C2×#11929624—24no—
188C2×#11929624—42no—
189C2×#11929624—42no—
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79—42no—
202C23×Dic79—42no—
203C23×Dic79—42no—
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C23×Dic79C2311yescharacteristic
211C23×Dic79C2311yescharacteristic
212C23×Dic79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215#14579156—42no—
216#14579147—42no—
217#14579145—42no—
218#14579145—42no—
219#14579145—42no—
220#14579138—42no—
221#14579133—42no—
222#14579133—42no—
223#14579133—42no—
224#14579133—42no—
225#14579133—42no—
226#14579130—42no—
227#14579130—42no—
228D4×Dic79—42no—
229C2×C4⋊Dic79—42no—
230C2×C4⋊Dic79—42no—
231C2×C4⋊Dic79C2311yescharacteristic
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×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79—42no—
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C79⋊#95C2311yescharacteristic
291C79⋊#95C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C25×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#123×C79—24no—
337#120×C79—42no—
338#117×C79—42no—
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×C79—24no—
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C42×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79C2411yescharacteristic
370C23×D79C2411yescharacteristic
371#11929624—416no—
372C2×Dic158—22no—
373C2×Dic158—41no—
374C2×Dic158—41no—
375C2×Dic158—41no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×D316—22no—
379C2×D316—41no—
380C2×D316—41no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C22×Dic79—22no—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—22no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—41no—
431C22×Dic79—41no—
432C22×Dic79—416no—
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C4⋊Dic79—22no—
454C4⋊Dic79—22no—
455C4⋊Dic79—22no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467Dic79⋊C4—22no—
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—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490(C2×D79)⋊C4—22no—
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—
508C4×Dic79—41no—
509C4×Dic79—41no—
510C4×Dic79—41no—
511C24×C79—22no—
512C24×C79—22no—
513C24×C79—22no—
514C24×C79—22no—
515C24×C79—22no—
516C24×C79—41no—
517C24×C79—41no—
518C24×C79C2411yescharacteristic
519C24×C79C2411yescharacteristic
520C24×C79C2411yescharacteristic
521C24×C79C2411yescharacteristic
522C2×D4×C79—22no—
523C2×D4×C79—22no—
524C2×D4×C79—22no—
525C2×D4×C79—22no—
526C2×D4×C79—22no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C22×C4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79#4114yes—
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C4⋊C4×C79—22no—
549C4⋊C4×C79—22no—
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—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C42×C79—41no—
572C42×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—28no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
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—44no—
598C23×C79—44no—
599C23×C79—44no—
600C23×C79—44no—
601C23×C79—44no—
602C23×C79—44no—
603C23×C79C2×#4112yes—
604C23×C79H(5,𝔽2)12yes—
605C23×C79H(5,𝔽2)12yes—
606C23×C79H(5,𝔽2)12yes—
607C23×C792−1+412yes—
608C23×C79C2511yescharacteristic
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—
623D4×C79—44no—
624D4×C79—82no—
625D4×C79—82no—
626C2×C4×C79—28no—
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—21no—
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—44no—
659C2×C4×C79C2×#4112yes—
660C2×C4×C79C2×#4112yes—
661C22⋊D79—44no—
662C22⋊D79—44no—
663C22⋊D79—82no—
664C22⋊D79—82no—
665C22⋊D79—82no—
666C22⋊D79—82no—
667C22⋊D79—82no—
668C22⋊D79—82no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—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—44no—
711C2×Dic79—44no—
712C2×Dic79—44no—
713C2×Dic79—44no—
714C2×Dic79—44no—
715C2×Dic79—44no—
716C2×Dic79—82no—
717C2×Dic79—82no—
718C2×Dic79—82no—
719C2×Dic79H(5,𝔽2)12yes—
720D316—44no—
721C4×D79—44no—
722C4×D79—44no—
723Dic158—44no—
724Dic158—82no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—416no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79#53814yes—
754C22×C79C22×#4111yescharacteristic
755C22×C79C2×H(5,𝔽2)11yescharacteristic
756C22×C79C2×H(5,𝔽2)11yescharacteristic
757C22×C79C2×H(5,𝔽2)11yescharacteristic
758C22×C79C2×H(5,𝔽2)11yescharacteristic
759C22×C79C2×2−1+411yescharacteristic
760C22×C79#58511yescharacteristic
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C4×C79—22no—
776C4×C79—22no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786Dic79—22no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800#36791—791nomaximal, Sylow
801C2×C79—24no—
802C2×C79—42no—
803C2×C79—42no—
804C2×C79—81no—
805C2×C79C2×#53811yescharacteristic
806C2×C79#349211yescharacteristic
807C2×C79#350611yescharacteristic
808C2×C79#353211yescharacteristic
809C2×C79#353411yescharacteristic
810C2×C79#353511yescharacteristic
811C2×C79#353611yescharacteristic
812D79—81no—
813D79—81no—
814#2849—791no—
815#2847—791no—
816#2804—791no—
817#2797—791no—
818#2788—791no—
819#2784—791no—
820#2780—791no—
821#2778—791no—
822#2751—791no—
823#2750—791no—
824#2745—791no—
825#2714—791no—
826#2710—791no—
827#2708—791no—
828#2708—791no—
829#2695—791no—
830#2686—791no—
831#2682—791no—
832#2643—791no—
833#2639—791no—
834#2481—791no—
835#2472—791no—
836#2443—791no—
837#2438—791no—
838#2430—791no—
839#2424—791no—
840#2411D7911yescharacteristic, complemented
841#2404—791no—
842#2322—791no—
843#2311—791no—
844C2×#385—791no—
845C79#3679111yescharacteristic, complemented, Sylow
846C22×#41—791no—
847C24×C4—791no—
848C2×#126—791no—
849C2×#124—791no—
850C2×#123—791no—
851C2×#123—791no—
852C2×#123—791no—
853C2×#123C2×D7911yescharacteristic
854C2×C22⋊Q8—791no—
855C2×#121—791no—
856C2×#121—791no—
857C2×#121—791no—
858C2×#121—791no—
859C2×#121—791no—
860C2×#120—791no—
861C2×#120—791no—
862C2×#120C2×D7911yescharacteristic
863C2×C4×D4—791no—
864C2×#117C2×D7911yescharacteristic
865C22×C4⋊C4—791no—
866C22×C4⋊C4—791no—
867C22×C22⋊C4—791no—
868C22×C22⋊C4C2×D7911yescharacteristic
869#401—791no—
870#400—791no—
871#400—791no—
872#400—791no—
873#400—791no—
874#400—791no—
875#400—791no—
876#400—791no—
877#400—791no—
878#399—791no—
879#398—791no—
880#398—791no—
881#398—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397—791no—
890#396—791no—
891#396—791no—
892#396—791no—
893#396C2×D7911yescharacteristic
894#396C2×D7911yescharacteristic
895#395—791no—
896#395—791no—
897#394—791no—
898#394—791no—
899#394—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394C2×D7911yescharacteristic
906#394C2×D7911yescharacteristic
907#393—791no—
908#393—791no—
909#393—791no—
910#393—791no—
911#393—791no—
912#393—791no—
913#392—791no—
914#392—791no—
915#392—791no—
916#392—791no—
917#391—791no—
918#391—791no—
919#391—791no—
920#390—791no—
921#390—791no—
922#390—791no—
923#390—791no—
924#390C2×D7911yescharacteristic
925#390C2×D7911yescharacteristic
926#389—791no—
927#389—791no—
928#389—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388C2×D7911yescharacteristic
937#388C2×D7911yescharacteristic
938#387—791no—
939#387—791no—
940#387—791no—
941#387—791no—
942#387—791no—
943#387—791no—
944#387—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386C2×D7911yescharacteristic
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#385—791no—
985#385—791no—
986#385C2×D7911yescharacteristic
987#381—791no—
988#381—791no—
989#381—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#379C2×D7911yescharacteristic
998C4×C22⋊C4—791no—
999C2×#95—791no—
1000C2×#95—791no—
1001C25C22×D7911yescharacteristic
1002C2×#41—3162no—
1003C2×#41—3162no—
1004C2×#41—1584no—
1005C22×Q8—791no—
1006C22×Q8—791no—
1007C22×D4—791no—
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4C22×D7911yescharacteristic
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C23×C4—3162no—
1020C23×C4—3162no—
1021C23×C4—3162no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4—791no—
1033C23×C4C22×D7911yescharacteristic
1034C23×C4C22×D7911yescharacteristic
1035#126—3162no—
1036#124—3162no—
1037#123—24no—
1038#123—3162no—
1039#123—3162no—
1040#123—3162no—
1041C22⋊Q8—3162no—
1042#121—3162no—
1043#121—3162no—
1044#121—3162no—
1045#121—3162no—
1046#121—3162no—
1047#120—42no—
1048#120—3162no—
1049#120—3162no—
1050C4×D4—3162no—
1051#117—42no—
1052C2×C4⋊C4—3162no—
1053C2×C4⋊C4—3162no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—3162no—
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⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1118C2×C22⋊C4C22×D7911yescharacteristic
1119C2×C22⋊C4C22×D7911yescharacteristic
1120C2×C22⋊C4C22×D7911yescharacteristic
1121C2×C22⋊C4C22×D7911yescharacteristic
1122C2×C22⋊C4C22×D7911yescharacteristic
1123C2×C22⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C22⋊C4C22×D7911yescharacteristic
1127C2×C22⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C42—791no—
1135C2×C42—791no—
1136C2×C42—791no—
1137C2×C42C22×D7911yescharacteristic
1138C2×C42C22×D7911yescharacteristic
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—791no—
1191C24—791no—
1192C24C23×D7911yescharacteristic
1193C24C23×D7911yescharacteristic
1194C24C23×D7911yescharacteristic
1195C24C23×D7911yescharacteristic
1196#41—31616no—
1197C2×Q8—3161no—
1198C2×Q8—3161no—
1199C2×Q8—3161no—
1200C2×Q8—3161no—
1201C2×Q8—3161no—
1202C2×Q8—1582no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—3161no—
1213C2×D4—3161no—
1214C2×D4—3161no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
1218C2×D4—3161no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—1582no—
1228C2×D4—1582no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—31616no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4#1192962314yes—
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C42—41no—
1383C42—41no—
1384C42—3161no—
1385C42—3161no—
1386C42—3161no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23C2×#1192962312yes—
1432C23#1457920612yes—
1433C23#1457920712yes—
1434C23#1457920712yes—
1435C23#1457920812yes—
1436C23C24×D7911yescharacteristic
1437Q8—3164no—
1438Q8—6322no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—3164no—
1443D4—3164no—
1444D4—3164no—
1445D4—6322no—
1446D4—6322no—
1447D4—6322no—
1448D4—6322no—
1449D4—6322no—
1450D4—6322no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—28no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—3164no—
1487C2×C4—3164no—
1488C2×C4—3164no—
1489C2×C4—3164no—
1490C2×C4—3164no—
1491C2×C4—3164no—
1492C2×C4—792no—
1493C2×C4—6322no—
1494C2×C4—6322no—
1495C2×C4—6322no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4C2×#1192962312yes—
1538C2×C4C2×#1192962312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22#1909915014yes—
1582C22C22×#1192962311yescharacteristic
1583C22H(5,𝔽2)×D7911yescharacteristic
1584C22C2×#1457920611yescharacteristic
1585C22C2×#1457920711yescharacteristic
1586C22C2×#1457920711yescharacteristic
1587C22C2×#1457920811yescharacteristic
1588C22#1909939811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—1582no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—6321no—
1619C2—6321no—
1620C2C2×#1909915011yescharacteristic
1621C2#2377710611yescharacteristic
1622C2#2377725111yescharacteristic
1623C2#2377755611yescharacteristic
1624C2#2377758611yescharacteristic
1625C2#2377760511yescharacteristic
1626C2#2377761511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2411C2
hypercenter#2411D79
hypocenterC79#36791
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. #23771694C2semidirect
2. #23771680C2semidirect
3. #23771346C2semidirect
4. #23771255C2semidirect
5. #23771143C2semidirect
6. #23771102C2semidirect
7. #23771050C2semidirect
8. #23771020C2semidirect
9. #23770647C2semidirect
10. #23770644C2semidirect
11. #23770563C2semidirect
12. #23770191C2semidirect
13. #23770140C2semidirect
14. #23770120C2semidirect
15. #23770120C2semidirect
16. #23769942C2semidirect
17. #23769808C2semidirect
18. #23769764C2semidirect
19. #23769356C2semidirect
20. #23769330C2semidirect
21. #23767658C2semidirect
22. #23767523C2semidirect
23. #23767133C2semidirect
24. #23767070C2semidirect
25. #23767012C2semidirect
26. #23766940C2semidirect
27. #23766719C2semidirect
28. #23766072C2semidirect
29. #23765988C2semidirect
30. C2×#19098438C2semidirect
31. C79×#2411C2semidirect
34. C2×#14579156C22semidirect
38. C2×#14579145C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098505C22semidirect
55. #19098504C22semidirect
56. #19098502C22semidirect
57. #19098502C22semidirect
58. #19098502C22semidirect
59. #19098501C22semidirect
60. #19098500C22semidirect
61. #19098496C22semidirect
62. #19098496C22semidirect
63. #19098495C22semidirect
64. #19098492C22semidirect
65. #19098492C22semidirect
67. #19098491C22semidirect
68. #19098490C22semidirect
69. #19098490C22semidirect
70. #19098489C22semidirect
71. #19098488C22semidirect
73. #19098485C22semidirect
74. #19098485C22semidirect
75. #19098483C22semidirect
76. #19098483C22semidirect
77. #19098480C22semidirect
80. #19098479C22semidirect
81. #19098479C22semidirect
83. #19098478C22semidirect
85. #19098476C22semidirect
89. #19098475C22semidirect
90. #19098475C22semidirect
93. #19098472C22semidirect
95. #19098469C22semidirect
96. #19098469C22semidirect
97. #19098469C22semidirect
98. #19098465C22semidirect
99. #19098465C22semidirect
102. #19098462C22semidirect
103. #19098462C22semidirect
104. #19098461C22semidirect
107. #19098456C22semidirect
108. #19098456C22semidirect
109. #19098455C22semidirect
110. #19098455C22semidirect
112. #19098449C22semidirect
113. #19098449C22semidirect
114. #19098449C22semidirect
115. #19098448C22semidirect
116. #19098447C22semidirect
117. #19098447C22semidirect
118. #19098446C22semidirect
139. #19098439C22semidirect
140. #19098439C22semidirect
153. #19098438C22semidirect
154. #19098438C22semidirect
155. #19098438C22semidirect
157. #19098434C22semidirect
158. #19098434C22semidirect
165. #19098420C22semidirect
166. #19098420C22semidirect
167. #19098420C22semidirect
168. #19098420C22semidirect
840. #2411D79semidirect
845. C79#36791semidirect

Maximal subgroups

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

subgroupindex
#237716942
#237716802
#237713462
#237712552
#237711432
#237711022
#237710502
#237710202
#237706472
#237706442
#237705632
#237701912
#237701402
#237701202
#237699422
#237698082
#237697642
#237693562
#237693302
#237676582
#237675232
#237671332
#237670702
#237670122
#237669402
#237667192
#237660722
#237659882
C2×#190984382
C79×#24112
#3679179