Finite Group Databasebeta

← #34500826

Subgroups — #34500826

Order 20224.

1992 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771744C211yesmaximal, characteristic, complemented
2#23771712C211yesmaximal, characteristic, complemented
3#23771203C211yesmaximal, characteristic, complemented
4#23770618C211yesmaximal, characteristic, complemented
5#23770453C211yesmaximal, characteristic, complemented
6#23770286C211yesmaximal, characteristic, complemented
7#23770156C211yesmaximal, characteristic, complemented
8#23770134C211yesmaximal, characteristic, complemented
9#23770067C211yesmaximal, characteristic, complemented
10#23769982C211yesmaximal, characteristic, complemented
11#23769838C211yesmaximal, characteristic, complemented
12#23769807C211yesmaximal, characteristic, complemented
13#23769729C211yesmaximal, characteristic, complemented
14#23769698C211yesmaximal, characteristic, complemented
15#23769629C211yesmaximal, characteristic, complemented
16#23769617C211yesmaximal, characteristic, complemented
17#23769608C211yesmaximal, characteristic, complemented
18#23769536C211yesmaximal, characteristic, complemented
19#23769426C211yesmaximal, characteristic, complemented
20#23768524C211yesmaximal, characteristic, complemented
21#23768476C211yesmaximal, characteristic, complemented
22#23768032C211yesmaximal, characteristic, complemented
23#23767745C211yesmaximal, characteristic, complemented
24#23767523C211yesmaximal, characteristic, complemented
25#23767452C211yesmaximal, characteristic, complemented
26#23767295C211yesmaximal, characteristic, complemented
27#23766932C211yesmaximal, characteristic, complemented
28#23766159C211yesmaximal, characteristic, complemented
29#23766055C211yesmaximal, characteristic, complemented
30#23765927C211yesmaximal, characteristic, complemented
31C79×#2685C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579154C2211yescharacteristic, complemented
34C2×#14579151C2211yescharacteristic, complemented
35C2×#14579149C2211yescharacteristic, complemented
36C2×#14579147C2211yescharacteristic
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579143C2211yescharacteristic
39C2×#14579138C2211yescharacteristic
40C2×#14579136C2211yescharacteristic, complemented
41C2×#14579134C2211yescharacteristic
42C2×#14579134C2211yescharacteristic
43C2×#14579134C2211yescharacteristic
44C2×#14579134C2211yescharacteristic, complemented
45C2×#14579134C2211yescharacteristic, complemented
46C2×#14579133C2211yescharacteristic
47C2×#14579133C2211yescharacteristic
48C2×#14579133C2211yescharacteristic
49C2×#14579132C2211yescharacteristic
50C2×#14579130C2211yescharacteristic
51C2×#14579130C2211yescharacteristic
52C2×#14579130C2211yescharacteristic
53C2×(C22⋊D79)⋊C4C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic
55C22×C22⋊Dic79C2211yescharacteristic
56C2×C42×D79C2211yescharacteristic, complemented
57#19098505C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098499C2211yescharacteristic
60#19098498C2211yescharacteristic, complemented
61#19098497C2211yescharacteristic, complemented
62#19098493C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic
64#19098491C2211yescharacteristic
65#19098491C2211yescharacteristic
66#19098491C2211yescharacteristic
67#19098490C2211yescharacteristic, complemented
68#19098489C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098485C2211yescharacteristic, complemented
72#19098485C2211yescharacteristic, complemented
73#19098484C2211yescharacteristic, complemented
74#19098483C2211yescharacteristic, complemented
75#19098481C2211yescharacteristic, complemented
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic, complemented
88#19098477C2211yescharacteristic
89#19098475C2211yescharacteristic
90#19098475C2211yescharacteristic, complemented
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098466C2211yescharacteristic
100#19098465C2211yescharacteristic, complemented
101#19098464C2211yescharacteristic, complemented
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic, complemented
108#19098463C2211yescharacteristic, complemented
109#19098462C2211yescharacteristic, complemented
110#19098457C2211yescharacteristic
111#19098457C2211yescharacteristic
112#19098457C2211yescharacteristic, complemented
113#19098456C2211yescharacteristic
114#19098453C2211yescharacteristic, complemented
115#19098453C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic, complemented
117#19098452C2211yescharacteristic, complemented
118#19098451C2211yescharacteristic
119#19098451C2211yescharacteristic
120#19098451C2211yescharacteristic
121#19098451C2211yescharacteristic
122#19098451C2211yescharacteristic
123#19098451C2211yescharacteristic
124#19098451C2211yescharacteristic
125#19098448C2211yescharacteristic, complemented
126#19098447C2211yescharacteristic, complemented
127#19098447C2211yescharacteristic, complemented
128#19098447C2211yescharacteristic, complemented
129#19098445C2211yescharacteristic, complemented
130#19098444C2211yescharacteristic, complemented
131#19098444C2211yescharacteristic, complemented
132#19098444C2211yescharacteristic, complemented
133#19098444C2211yescharacteristic, complemented
134#19098443C2211yescharacteristic
135#19098443C2211yescharacteristic
136#19098441C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098440C2211yescharacteristic
139#19098440C2211yescharacteristic
140#19098440C2211yescharacteristic
141#19098440C2211yescharacteristic, complemented
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic
144#19098439C2211yescharacteristic
145#19098439C2211yescharacteristic
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098438C2211yescharacteristic
153#19098435C2211yescharacteristic
154#19098434C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098432C2211yescharacteristic, complemented
159#19098431C2211yescharacteristic, complemented
160#19098425C2211yescharacteristic, complemented
161#19098425C2211yescharacteristic, complemented
162#19098424C2211yescharacteristic, complemented
163#19098421C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165C4⋊C4×Dic79C2211yescharacteristic, complemented
166#19098414C2211yescharacteristic, complemented
167C22⋊C4×Dic79C2211yescharacteristic
168C22⋊C4×Dic79C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic, complemented
170C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172C2×#126×C79C2211yescharacteristic
173C2×#120×C79C2211yescharacteristic
174#399×C79C2211yescharacteristic
175#396×C79C2211yescharacteristic
176#394×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#390×C79C2211yescharacteristic
181#390×C79C2211yescharacteristic
182#388×C79C2211yescharacteristic
183#388×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic
185#379×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211#14579157—42no—
212#14579154—42no—
213#14579151—42no—
214#14579149—42no—
215#14579147—42no—
216#14579146—42no—
217#14579143—24no—
218#14579138—42no—
219#14579136—42no—
220#14579134—42no—
221#14579134—42no—
222#14579134—42no—
223#14579134—42no—
224#14579134—42no—
225#14579133—24no—
226#14579133—42no—
227#14579133—42no—
228#14579132—42no—
229#14579130—24no—
230#14579130—42no—
231#14579130—42no—
232(C22⋊D79)⋊C4—42no—
233(C22⋊D79)⋊C4—42no—
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
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
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C42×D79—42no—
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
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C25×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336#126×C79—42no—
337#120×C79—42no—
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×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
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
371C23×D79C2411yescharacteristic
372C2×Dic158—41no—
373C2×Dic158—41no—
374C2×Dic158—41no—
375C2×D316—22no—
376C2×D316—22no—
377C2×D316—22no—
378C2×D316—41no—
379C2×D316—41no—
380C2×D316—41no—
381C2×D316—41no—
382C2×D316—41no—
383C2×D316—41no—
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—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
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—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
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—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C4⋊Dic79—22no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79#4114yes—
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—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—
515C4×Dic79—22no—
516C4×Dic79—22no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C24×C79—22no—
524C24×C79—41no—
525C24×C79—41no—
526C24×C79—41no—
527C24×C79—41no—
528C24×C79—41no—
529C24×C79—41no—
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C24×C79C2411yescharacteristic
534C2×D4×C79—22no—
535C2×D4×C79—22no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C4⋊C4×C79—22no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C42×C79—22no—
580C42×C79—41no—
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—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—44no—
609C23×C79—82no—
610C23×C79—82no—
611C23×C79—82no—
612C23×C79—82no—
613C23×C79—82no—
614C23×C79—82no—
615C23×C79C2×#4112yes—
616C23×C79C2511yescharacteristic
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—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79H(5,𝔽2)12yes—
638D4×C79—82no—
639D4×C79—82no—
640D4×C79—82no—
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—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×C79H(5,𝔽2)12yes—
674C22⋊D79—44no—
675C22⋊D79—44no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C22⋊D79—82no—
679C22⋊D79—82no—
680C22⋊D79—82no—
681C22⋊D79—82no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
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—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—82no—
722C2×Dic79—82no—
723C2×Dic79—82no—
724C2×Dic79C2×#4112yes—
725C2×Dic79C2×#4112yes—
726C2×Dic79H(5,𝔽2)12yes—
727C2×Dic79H(5,𝔽2)12yes—
728D316—82no—
729D316—82no—
730D316—82no—
731C4×D79—44no—
732C4×D79—44no—
733C4×D79—44no—
734C4×D79—82no—
735C4×D79—82no—
736Dic158—82no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
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—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—88no—
766C22×C79C22×#4111yescharacteristic
767C22×C79C2×H(5,𝔽2)11yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79#58511yescharacteristic
772C22×C79#58511yescharacteristic
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
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—
794C4×C79—22no—
795C4×C79—41no—
796C4×C79—41no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805Dic79—22no—
806Dic79—22no—
807Dic79—22no—
808Dic79—22no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818#36921—791nomaximal, Sylow
819C2×C79—42no—
820C2×C79—81no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79#346011yescharacteristic
824C2×C79#351411yescharacteristic
825C2×C79#351911yescharacteristic
826C2×C79#353411yescharacteristic
827C2×C79#354211yescharacteristic
828C2×C79#354311yescharacteristic
829C2×C79#356011yescharacteristic
830D79—42no—
831D79—81no—
832D79—81no—
833#2856—791no—
834#2852—791no—
835#2793—791no—
836#2749—791no—
837#2737—791no—
838#2720—791no—
839#2711—791no—
840#2709—791no—
841#2705—791no—
842#2699—791no—
843#2688—791no—
844#2686—791no—
845#2685D7911yescharacteristic, complemented
846#2678—791no—
847#2676—791no—
848#2671—791no—
849#2669—791no—
850#2668—791no—
851#2662—791no—
852#2651—791no—
853#2559—791no—
854#2555—791no—
855#2516—791no—
856#2490—791no—
857#2472—791no—
858#2467—791no—
859#2456—791no—
860#2424—791no—
861#2333—791no—
862#2321—791no—
863C4×#123—791no—
864C79#3692111yescharacteristic, complemented, Sylow
865C2×#127—791no—
866C2×#126—791no—
867C2×#126C2×D7911yescharacteristic
868C2×#125—791no—
869C2×#124—791no—
870C2×#124—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×C22⋊Q8—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#121—791no—
883C2×#121—791no—
884C2×#120—791no—
885C2×#120—791no—
886C2×#120—791no—
887C2×#120C2×D7911yescharacteristic
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C22×C22⋊C4—791no—
891C22×C42—791no—
892#400—791no—
893#400—791no—
894#399—791no—
895#399—791no—
896#399C2×D7911yescharacteristic
897#398—791no—
898#398—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#396—791no—
909#396C2×D7911yescharacteristic
910#395—791no—
911#395—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394C2×D7911yescharacteristic
927#394C2×D7911yescharacteristic
928#394C2×D7911yescharacteristic
929#394C2×D7911yescharacteristic
930#393—791no—
931#393—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392—791no—
938#392—791no—
939#392—791no—
940#390—791no—
941#390—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390C2×D7911yescharacteristic
951#390C2×D7911yescharacteristic
952#389—791no—
953#388—791no—
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#388C2×D7911yescharacteristic
969#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic
971#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—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#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#384—791no—
1005#383—791no—
1006#381—791no—
1007#381—791no—
1008#381—791no—
1009#380—791no—
1010#380—791no—
1011#379C2×D7911yescharacteristic
1012#379C2×D7911yescharacteristic
1013C4×C4⋊C4—791no—
1014C4×C4⋊C4—791no—
1015C4×C22⋊C4—791no—
1016C4×C22⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4—791no—
1020C25C22×D7911yescharacteristic
1021C22×Q8—791no—
1022C22×D4—791no—
1023C22×D4—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048#127—3162no—
1049#126—42no—
1050#126—3162no—
1051#125—3162no—
1052#124—3162no—
1053#124—3162no—
1054#123—3162no—
1055#123—1584no—
1056C22⋊Q8—3162no—
1057#121—3162no—
1058#121—3162no—
1059#121—3162no—
1060#121—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—3162no—
1065#121—3162no—
1066#121—1584no—
1067#120—42no—
1068#120—3162no—
1069#120—3162no—
1070#120—1584no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—3162no—
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⋊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⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C42—3162no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42C22×D7911yescharacteristic
1167C2×C42C22×D7911yescharacteristic
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#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#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202C24—22no—
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—791no—
1210C24—791no—
1211C24—791no—
1212C24C23×D7911yescharacteristic
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
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—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4—1582no—
1262C2×D4—1582no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—791no—
1291C22×C4—791no—
1292C22×C4—791no—
1293C22×C4—791no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—1582no—
1304C22×C4—1582no—
1305C22×C4—1582no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4C23×D7911yescharacteristic
1311C22×C4C23×D7911yescharacteristic
1312C22×C4C23×D7911yescharacteristic
1313C22×C4C23×D7911yescharacteristic
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—3161no—
1337C4⋊C4—1582no—
1338C4⋊C4—1582no—
1339C4⋊C4—1582no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
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—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—794no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C42—22no—
1405C42—41no—
1406C42—3161no—
1407C42—3161no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
1412C42—1582no—
1413C42—1582no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
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—44no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—82no—
1448C23—792no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23—1581no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23#41×D7912yes—
1470C23C24×D7911yescharacteristic
1471Q8—6322no—
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—3164no—
1476D4—3164no—
1477D4—6322no—
1478D4—6322no—
1479D4—6322no—
1480D4—6322no—
1481D4—6322no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
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—3164no—
1523C2×C4—3164no—
1524C2×C4—3164no—
1525C2×C4—792no—
1526C2×C4—792no—
1527C2×C4—792no—
1528C2×C4—792no—
1529C2×C4—6322no—
1530C2×C4—6322no—
1531C2×C4—6322no—
1532C2×C4—6322no—
1533C2×C4—6322no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
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#1457920612yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—88no—
1599C22—3161no—
1600C22—3161no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C2×#41×D7911yescharacteristic
1621C22H(5,𝔽2)×D7911yescharacteristic
1622C22H(5,𝔽2)×D7911yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22C2×#1457920611yescharacteristic
1625C22#1909939811yescharacteristic
1626C22#1909939911yescharacteristic
1627C4—22no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—3161no—
1639C4—3161no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—1582no—
1648C4—1582no—
1649C4—1582no—
1650C4—1582no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—81no—
1655C2—3162no—
1656C2—6321no—
1657C2—6321no—
1658C2#2377681911yescharacteristic
1659C2#2377735011yescharacteristic
1660C2#2377742911yescharacteristic
1661C2#2377758211yescharacteristic
1662C2#2377771811yescharacteristic
1663C2#2377772811yescharacteristic
1664C2#2377794111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2685C2
hypercenter#2685D79
hypocenterC79#36921
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. #23771744C2semidirect
2. #23771712C2semidirect
3. #23771203C2semidirect
4. #23770618C2semidirect
5. #23770453C2semidirect
6. #23770286C2semidirect
7. #23770156C2semidirect
8. #23770134C2semidirect
9. #23770067C2semidirect
10. #23769982C2semidirect
11. #23769838C2semidirect
12. #23769807C2semidirect
13. #23769729C2semidirect
14. #23769698C2semidirect
15. #23769629C2semidirect
16. #23769617C2semidirect
17. #23769608C2semidirect
18. #23769536C2semidirect
19. #23769426C2semidirect
20. #23768524C2semidirect
21. #23768476C2semidirect
22. #23768032C2semidirect
23. #23767745C2semidirect
24. #23767523C2semidirect
25. #23767452C2semidirect
26. #23767295C2semidirect
27. #23766932C2semidirect
28. #23766159C2semidirect
29. #23766055C2semidirect
30. #23765927C2semidirect
31. C79×#2685C2semidirect
33. C2×#14579154C22semidirect
34. C2×#14579151C22semidirect
35. C2×#14579149C22semidirect
37. C2×#14579146C22semidirect
40. C2×#14579136C22semidirect
44. C2×#14579134C22semidirect
45. C2×#14579134C22semidirect
56. C2×C42×D79C22semidirect
57. #19098505C22semidirect
58. #19098504C22semidirect
60. #19098498C22semidirect
61. #19098497C22semidirect
62. #19098493C22semidirect
67. #19098490C22semidirect
68. #19098489C22semidirect
71. #19098485C22semidirect
72. #19098485C22semidirect
73. #19098484C22semidirect
74. #19098483C22semidirect
75. #19098481C22semidirect
81. #19098479C22semidirect
82. #19098479C22semidirect
87. #19098478C22semidirect
90. #19098475C22semidirect
100. #19098465C22semidirect
101. #19098464C22semidirect
107. #19098463C22semidirect
108. #19098463C22semidirect
109. #19098462C22semidirect
112. #19098457C22semidirect
114. #19098453C22semidirect
115. #19098453C22semidirect
116. #19098452C22semidirect
117. #19098452C22semidirect
125. #19098448C22semidirect
126. #19098447C22semidirect
127. #19098447C22semidirect
128. #19098447C22semidirect
129. #19098445C22semidirect
130. #19098444C22semidirect
131. #19098444C22semidirect
132. #19098444C22semidirect
133. #19098444C22semidirect
136. #19098441C22semidirect
137. #19098441C22semidirect
141. #19098440C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
154. #19098434C22semidirect
155. #19098434C22semidirect
156. #19098434C22semidirect
157. #19098434C22semidirect
158. #19098432C22semidirect
159. #19098431C22semidirect
160. #19098425C22semidirect
161. #19098425C22semidirect
162. #19098424C22semidirect
163. #19098421C22semidirect
164. #19098420C22semidirect
165. C4⋊C4×Dic79C22semidirect
166. #19098414C22semidirect
169. C22⋊C4×Dic79C22semidirect
170. C4×(C2×D79)⋊C4C22semidirect
171. #19098410C22semidirect
845. #2685D79semidirect
864. C79#36921semidirect

Maximal subgroups

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

subgroupindex
#237717442
#237717122
#237712032
#237706182
#237704532
#237702862
#237701562
#237701342
#237700672
#237699822
#237698382
#237698072
#237697292
#237696982
#237696292
#237696172
#237696082
#237695362
#237694262
#237685242
#237684762
#237680322
#237677452
#237675232
#237674522
#237672952
#237669322
#237661592
#237660552
#237659272
C79×#26852
#3692179