Finite Group Databasebeta

← #34497179

Subgroups — #34497179

Order 20224.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771717C211yesmaximal, characteristic, complemented
2#23771697C211yesmaximal, characteristic, complemented
3#23771376C211yesmaximal, characteristic, complemented
4#23771338C211yesmaximal, characteristic, complemented
5#23771336C211yesmaximal, characteristic, complemented
6#23771109C211yesmaximal, characteristic, complemented
7#23771070C211yesmaximal, characteristic, complemented
8#23771034C211yesmaximal, characteristic, complemented
9#23771025C211yesmaximal, characteristic, complemented
10#23770969C211yesmaximal, characteristic, complemented
11#23770774C211yesmaximal, characteristic, complemented
12#23770718C211yesmaximal, characteristic, complemented
13#23770717C211yesmaximal, characteristic, complemented
14#23770646C211yesmaximal, characteristic, complemented
15#23770427C211yesmaximal, characteristic, complemented
16#23770214C211yesmaximal, characteristic, complemented
17#23770195C211yesmaximal, characteristic, complemented
18#23769799C211yesmaximal, characteristic, complemented
19#23769177C211yesmaximal, characteristic, complemented
20#23769137C211yesmaximal, characteristic, complemented
21#23767526C211yesmaximal, characteristic, complemented
22#23767150C211yesmaximal, characteristic, complemented
23#23767082C211yesmaximal, characteristic, complemented
24#23767008C211yesmaximal, characteristic, complemented
25#23766938C211yesmaximal, characteristic, complemented
26#23766783C211yesmaximal, characteristic, complemented
27#23766718C211yesmaximal, characteristic, complemented
28#23766071C211yesmaximal, characteristic, complemented
29#23765987C211yesmaximal, characteristic, complemented
30C2×#19098452C211yesmaximal, characteristic, complemented
31C79×#2510C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579149C2211yescharacteristic
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579145C2211yescharacteristic
37C2×#14579138C2211yescharacteristic
38C2×#14579135C2211yescharacteristic
39C2×#14579134C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579131C2211yescharacteristic
42C2×#14579131C2211yescharacteristic
43C2×#14579129C2211yescharacteristic
44C2×C4×C22⋊D79C2211yescharacteristic
45C2×#14579117C2211yescharacteristic
46C22×Dic79⋊C4C2211yescharacteristic
47C22×(C2×D79)⋊C4C2211yescharacteristic
48C22×(C2×D79)⋊C4C2211yescharacteristic
49C22×(C2×D79)⋊C4C2211yescharacteristic
50C22×C4×Dic79C2211yescharacteristic
51#19098505C2211yescharacteristic, complemented
52#19098504C2211yescharacteristic, complemented
53#19098497C2211yescharacteristic, complemented
54#19098494C2211yescharacteristic, complemented
55#19098492C2211yescharacteristic
56#19098492C2211yescharacteristic
57#19098492C2211yescharacteristic, complemented
58#19098492C2211yescharacteristic, complemented
59#19098490C2211yescharacteristic
60#19098490C2211yescharacteristic
61#19098490C2211yescharacteristic
62#19098490C2211yescharacteristic
63#19098490C2211yescharacteristic
64#19098487C2211yescharacteristic
65#19098485C2211yescharacteristic
66#19098485C2211yescharacteristic
67#19098484C2211yescharacteristic, complemented
68#19098483C2211yescharacteristic, complemented
69#19098481C2211yescharacteristic
70#19098481C2211yescharacteristic
71#19098481C2211yescharacteristic
72#19098481C2211yescharacteristic
73#19098481C2211yescharacteristic
74#19098481C2211yescharacteristic, complemented
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098480C2211yescharacteristic
78#19098480C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic, complemented
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098476C2211yescharacteristic
86#19098476C2211yescharacteristic
87#19098476C2211yescharacteristic
88#19098476C2211yescharacteristic, complemented
89#19098473C2211yescharacteristic
90#19098473C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic, complemented
95#19098467C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098467C2211yescharacteristic, complemented
98#19098467C2211yescharacteristic, complemented
99#19098465C2211yescharacteristic
100#19098464C2211yescharacteristic
101#19098464C2211yescharacteristic
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic, complemented
104#19098463C2211yescharacteristic, complemented
105#19098463C2211yescharacteristic, complemented
106#19098461C2211yescharacteristic, complemented
107#19098461C2211yescharacteristic, complemented
108#19098458C2211yescharacteristic, complemented
109#19098456C2211yescharacteristic, complemented
110#19098455C2211yescharacteristic
111#19098455C2211yescharacteristic
112#19098455C2211yescharacteristic, complemented
113#19098455C2211yescharacteristic, complemented
114#19098454C2211yescharacteristic
115#19098454C2211yescharacteristic
116#19098454C2211yescharacteristic, complemented
117#19098454C2211yescharacteristic, complemented
118#19098453C2211yescharacteristic, complemented
119#19098452C2211yescharacteristic
120#19098452C2211yescharacteristic
121#19098452C2211yescharacteristic
122#19098452C2211yescharacteristic
123#19098452C2211yescharacteristic
124#19098452C2211yescharacteristic
125#19098452C2211yescharacteristic
126#19098452C2211yescharacteristic
127#19098452C2211yescharacteristic
128#19098452C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic, complemented
130#19098452C2211yescharacteristic, complemented
131#19098451C2211yescharacteristic, complemented
132#19098450C2211yescharacteristic, complemented
133#19098449C2211yescharacteristic, complemented
134#19098449C2211yescharacteristic, complemented
135#19098448C2211yescharacteristic, complemented
136#19098448C2211yescharacteristic, complemented
137#19098446C2211yescharacteristic, complemented
138#19098445C2211yescharacteristic, complemented
139#19098444C2211yescharacteristic, complemented
140#19098443C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic, complemented
148#19098441C2211yescharacteristic, complemented
149#19098440C2211yescharacteristic
150#19098440C2211yescharacteristic
151#19098440C2211yescharacteristic
152#19098440C2211yescharacteristic
153#19098440C2211yescharacteristic
154#19098440C2211yescharacteristic, complemented
155#19098438C2211yescharacteristic
156#19098438C2211yescharacteristic, complemented
157#19098437C2211yescharacteristic, complemented
158#19098437C2211yescharacteristic, complemented
159#19098437C2211yescharacteristic, complemented
160#19098436C2211yescharacteristic
161#19098435C2211yescharacteristic
162#19098430C2211yescharacteristic, complemented
163#19098427C2211yescharacteristic, complemented
164#19098425C2211yescharacteristic, complemented
165#19098424C2211yescharacteristic
166#19098422C2211yescharacteristic, complemented
167#19098422C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098421C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172#401×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#388×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#387×C79C2211yescharacteristic, complemented
179#386×C79C2211yescharacteristic
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#383×C79C2211yescharacteristic, complemented
184#380×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C2×#11929623—24no—
189C2×#11929623—42no—
190C2×#11929623—42no—
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579156—42no—
211#14579149—42no—
212#14579147—42no—
213#14579145—24no—
214#14579138—42no—
215#14579135—42no—
216#14579134—42no—
217#14579133—42no—
218#14579131—42no—
219#14579131—42no—
220#14579129—42no—
221C4×C22⋊D79—42no—
222#14579117—42no—
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×Dic79⋊C4—42no—
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×(C2×D79)⋊C4—24no—
250C2×(C2×D79)⋊C4—42no—
251C2×(C2×D79)⋊C4—42no—
252C2×(C2×D79)⋊C4C2311yescharacteristic
253C2×(C2×D79)⋊C4C2311yescharacteristic
254C2×(C2×D79)⋊C4C2311yescharacteristic
255C2×(C2×D79)⋊C4C2311yescharacteristic
256C2×(C2×D79)⋊C4C2311yescharacteristic
257C2×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×C4×Dic79—42no—
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C23×C4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332C2×C4⋊C4×C79C2311yescharacteristic
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C22⋊C4×C79C2311yescharacteristic
337C2×C22⋊C4×C79C2311yescharacteristic
338C2×C22⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C42×C79C2311yescharacteristic
346C2×C42×C79C2311yescharacteristic
347#95×C79C2311yescharacteristic
348#95×C79C2311yescharacteristic
349#95×C79C2311yescharacteristic
350#95×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—22no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79—41no—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C23×D79C2411yescharacteristic
373C23×D79C2411yescharacteristic
374#11929623—416no—
375C2×Dic158—22no—
376C2×Dic158—22no—
377C2×Dic158—41no—
378C2×Dic158—41no—
379C2×Dic158—41no—
380C2×Dic158—41no—
381C2×D316—41no—
382C2×D316—41no—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×D316—41no—
388C2×D316—41no—
389C2×D316—41no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
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—
414C22×Dic79—22no—
415C22×Dic79—22no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79#4114yes—
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C2×C4×D79—22no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C4⋊Dic79—22no—
445C4⋊Dic79—22no—
446C4⋊Dic79—41no—
447C4⋊Dic79—41no—
448C4⋊Dic79—41no—
449C4⋊Dic79—41no—
450Dic79⋊C4—22no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464C22⋊Dic79—22no—
465C22⋊Dic79—22no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469(C2×D79)⋊C4—22no—
470(C2×D79)⋊C4—22no—
471(C2×D79)⋊C4—22no—
472(C2×D79)⋊C4—22no—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—22no—
477(C2×D79)⋊C4—22no—
478(C2×D79)⋊C4—41no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509C4×Dic79—22no—
510C4×Dic79—22no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C2×D4×C79—22no—
519C2×D4×C79—22no—
520C2×D4×C79—22no—
521C22×C4×C79—22no—
522C22×C4×C79—22no—
523C22×C4×C79—22no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79—41no—
527C22×C4×C79—41no—
528C22×C4×C79—41no—
529C22×C4×C79—41no—
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C4⋊C4×C79—41no—
544C4⋊C4×C79—41no—
545C4⋊C4×C79—41no—
546C4⋊C4×C79—41no—
547C22⋊C4×C79—22no—
548C22⋊C4×C79—22no—
549C22⋊C4×C79—22no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C42×C79—41no—
557C42×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79C2×#4112yes—
570C23×C79H(5,𝔽2)12yes—
571C23×C79H(5,𝔽2)12yes—
572C23×C79C2511yescharacteristic
573C22×D79—21no—
574C22×D79—21no—
575C22×D79—21no—
576C22×D79—21no—
577C22×D79—21no—
578C22×D79—21no—
579C22×D79—21no—
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—21no—
585C22×D79—21no—
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79—44no—
604C22×D79—82no—
605C22×D79—82no—
606C22×D79—82no—
607C22×D79—82no—
608D4×C79—44no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—44no—
649C2×C4×C79—82no—
650C2×C4×C79—82no—
651C22⋊D79—44no—
652C22⋊D79—44no—
653C22⋊D79—44no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C2×Dic79—28no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—44no—
692C2×Dic79—44no—
693C2×Dic79—44no—
694C2×Dic79C2×#4112yes—
695C2×Dic79C2×#4112yes—
696C2×Dic79H(5,𝔽2)12yes—
697D316—82no—
698D316—82no—
699D316—82no—
700D316—82no—
701D316—82no—
702C4×D79—44no—
703C4×D79—82no—
704Dic158—44no—
705Dic158—82no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—22no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79#53814yes—
720C22×C79C22×#4111yescharacteristic
721C22×C79C2×H(5,𝔽2)11yescharacteristic
722C22×C79C2×H(5,𝔽2)11yescharacteristic
723C22×C79C2×H(5,𝔽2)11yescharacteristic
724C22×C79#58511yescharacteristic
725C22×C79#58511yescharacteristic
726C22×C79#58511yescharacteristic
727C2×D79—41no—
728C2×D79—41no—
729C2×D79—41no—
730C2×D79—41no—
731C2×D79—41no—
732C2×D79—41no—
733C2×D79—41no—
734C2×D79—41no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—41no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—88no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769Dic79—22no—
770Dic79—22no—
771Dic79—22no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36795—791nomaximal, Sylow
782C2×C79—24no—
783C2×C79—81no—
784C2×C79C2×#53811yescharacteristic
785C2×C79#349311yescharacteristic
786C2×C79#350611yescharacteristic
787C2×C79#353411yescharacteristic
788C2×C79#354211yescharacteristic
789C2×C79#354511yescharacteristic
790C2×C79#356011yescharacteristic
791D79—81no—
792D79—81no—
793D79—81no—
794D79—81no—
795#2852—791no—
796#2850—791no—
797#2808—791no—
798#2803—791no—
799#2803—791no—
800#2786—791no—
801#2781—791no—
802#2779—791no—
803#2778—791no—
804#2775—791no—
805#2759—791no—
806#2756—791no—
807#2756—791no—
808#2751—791no—
809#2733—791no—
810#2715—791no—
811#2714—791no—
812#2686—791no—
813#2622—791no—
814#2617—791no—
815#2510D7911yescharacteristic, complemented
816#2472—791no—
817#2444—791no—
818#2438—791no—
819#2430—791no—
820#2424—791no—
821#2411—791no—
822#2404—791no—
823#2322—791no—
824#2311—791no—
825C2×#388—791no—
826C79#3679511yescharacteristic, complemented, Sylow
827C22×#41—791no—
828C2×#126—791no—
829C2×#124—791no—
830C2×#124—791no—
831C2×#123—791no—
832C2×C22⋊Q8—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#120—791no—
837C2×#120—791no—
838C2×#120—791no—
839C2×C4×D4—791no—
840C2×#117—791no—
841C22×C4⋊C4—791no—
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844C22×C22⋊C4—791no—
845C22×C42—791no—
846#401C2×D7911yescharacteristic, complemented
847#400—791no—
848#400—791no—
849#400C2×D7911yescharacteristic, complemented
850#398—791no—
851#398—791no—
852#397—791no—
853#397—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397—791no—
859#397—791no—
860#397—791no—
861#397C2×D7911yescharacteristic, complemented
862#397C2×D7911yescharacteristic, complemented
863#396—791no—
864#396—791no—
865#396—791no—
866#395—791no—
867#395—791no—
868#394—791no—
869#394—791no—
870#394—791no—
871#394—791no—
872#394—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#394—791no—
884#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#392—791no—
893#392—791no—
894#391—791no—
895#391—791no—
896#391—791no—
897#391—791no—
898#390—791no—
899#390—791no—
900#390—791no—
901#390—791no—
902#390—791no—
903#390—791no—
904#390—791no—
905#389—791no—
906#389—791no—
907#389—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388—791no—
922#388—791no—
923#388—791no—
924#388—791no—
925#388—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388C2×D7911yescharacteristic, complemented
932#388C2×D7911yescharacteristic, complemented
933#387—791no—
934#387—791no—
935#387—791no—
936#387—791no—
937#387—791no—
938#387—791no—
939#387—791no—
940#387—791no—
941#387C2×D7911yescharacteristic, complemented
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386C2×D7911yescharacteristic
958#386C2×D7911yescharacteristic
959#386C2×D7911yescharacteristic
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#385C2×D7911yescharacteristic
968#383—791no—
969#383C2×D7911yescharacteristic, complemented
970#382—791no—
971#381—791no—
972#381—791no—
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#380C2×D7911yescharacteristic
978#379—791no—
979C4×C22⋊C4C2×D7911yescharacteristic
980C2×#95—791no—
981C2×#95C2×D7911yescharacteristic
982C25—791no—
983C2×#41—3162no—
984C2×#41—3162no—
985C2×#41—1584no—
986C22×Q8—791no—
987C22×Q8—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4—791no—
995C22×D4—791no—
996C22×D4—791no—
997C22×D4—791no—
998C22×D4—791no—
999C22×D4C22×D7911yescharacteristic
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4C22×D7911yescharacteristic
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#126—3162no—
1010#124—3162no—
1011#124—3162no—
1012#123—1584no—
1013C22⋊Q8—3162no—
1014#121—3162no—
1015#121—3162no—
1016#121—3162no—
1017#120—3162no—
1018#120—3162no—
1019#120—3162no—
1020C4×D4—3162no—
1021#117—3162no—
1022C2×C4⋊C4—3162no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4C22×D7911yescharacteristic
1044C2×C4⋊C4C22×D7911yescharacteristic
1045C2×C4⋊C4C22×D7911yescharacteristic
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C22⋊C4—3162no—
1048C2×C22⋊C4—3162no—
1049C2×C22⋊C4—791no—
1050C2×C22⋊C4—791no—
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—1584no—
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C42—3162no—
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42C22×D7911yescharacteristic
1113C2×C42C22×D7911yescharacteristic
1114#95—791no—
1115#95—791no—
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95C22×D7911yescharacteristic
1143#95C22×D7911yescharacteristic
1144#95C22×D7911yescharacteristic
1145#95C22×D7911yescharacteristic
1146#95C22×D7911yescharacteristic
1147#95C22×D7911yescharacteristic
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—3161no—
1159C24—3161no—
1160C24—3161no—
1161C24—3161no—
1162C24—791no—
1163C24—791no—
1164C24—791no—
1165C24—791no—
1166C24—1582no—
1167C24—1582no—
1168C24—1582no—
1169C24C23×D7911yescharacteristic
1170C24C23×D7911yescharacteristic
1171#41—31616no—
1172C2×Q8—3161no—
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—1582no—
1177C2×Q8—1582no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—3161no—
1185C2×D4—3161no—
1186C2×D4—3161no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—3161no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—3161no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C2×D4—1582no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—794no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—1582no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—3161no—
1300C22⋊C4—3161no—
1301C22⋊C4—3161no—
1302C22⋊C4—3161no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—3161no—
1307C22⋊C4—3161no—
1308C22⋊C4—3161no—
1309C22⋊C4—3161no—
1310C22⋊C4—3161no—
1311C22⋊C4—3161no—
1312C22⋊C4—3161no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C42—41no—
1345C42—41no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—1582no—
1352C42—1582no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—3164no—
1365C23—3164no—
1366C23—3164no—
1367C23—6322no—
1368C23—6322no—
1369C23—6322no—
1370C23—6322no—
1371C23—1581no—
1372C23—1581no—
1373C23—1581no—
1374C23—1581no—
1375C23—1581no—
1376C23—1581no—
1377C23—1581no—
1378C23—1581no—
1379C23—1581no—
1380C23—1581no—
1381C23—1581no—
1382C23—1581no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23#41×D7912yes—
1400C23#1457920712yes—
1401C23#1457920712yes—
1402C23C24×D7911yescharacteristic
1403Q8—3164no—
1404Q8—6322no—
1405D4—44no—
1406D4—3164no—
1407D4—3164no—
1408D4—3164no—
1409D4—6322no—
1410D4—6322no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—3164no—
1460C2×C4—3164no—
1461C2×C4—3164no—
1462C2×C4—3164no—
1463C2×C4—792no—
1464C2×C4—792no—
1465C2×C4—792no—
1466C2×C4—6322no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1588no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—3161no—
1519C22—3161no—
1520C22—3161no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—3161no—
1540C22—3161no—
1541C22—3161no—
1542C22—6328no—
1543C22#1909915214yes—
1544C22C2×#41×D7911yescharacteristic
1545C22H(5,𝔽2)×D7911yescharacteristic
1546C22C2×#1457920711yescharacteristic
1547C22C2×#1457920711yescharacteristic
1548C22#1909939811yescharacteristic
1549C22#1909939911yescharacteristic
1550C22#1909939911yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—1582no—
1574C4—1582no—
1575C4—1582no—
1576C2—24no—
1577C2—81no—
1578C2—6321no—
1579C2—6321no—
1580C2—6321no—
1581C2—6321no—
1582C2C2×#1909915211yescharacteristic
1583C2#2377711211yescharacteristic
1584C2#2377724711yescharacteristic
1585C2#2377757711yescharacteristic
1586C2#2377770911yescharacteristic
1587C2#2377775611yescharacteristic
1588C2#2377795111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2510C2
hypercenter#2510D79
hypocenterC79#36795
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #23771717C2semidirect
2. #23771697C2semidirect
3. #23771376C2semidirect
4. #23771338C2semidirect
5. #23771336C2semidirect
6. #23771109C2semidirect
7. #23771070C2semidirect
8. #23771034C2semidirect
9. #23771025C2semidirect
10. #23770969C2semidirect
11. #23770774C2semidirect
12. #23770718C2semidirect
13. #23770717C2semidirect
14. #23770646C2semidirect
15. #23770427C2semidirect
16. #23770214C2semidirect
17. #23770195C2semidirect
18. #23769799C2semidirect
19. #23769177C2semidirect
20. #23769137C2semidirect
21. #23767526C2semidirect
22. #23767150C2semidirect
23. #23767082C2semidirect
24. #23767008C2semidirect
25. #23766938C2semidirect
26. #23766783C2semidirect
27. #23766718C2semidirect
28. #23766071C2semidirect
29. #23765987C2semidirect
30. C2×#19098452C2semidirect
31. C79×#2510C2semidirect
33. C2×#14579156C22semidirect
35. C2×#14579147C22semidirect
51. #19098505C22semidirect
52. #19098504C22semidirect
53. #19098497C22semidirect
54. #19098494C22semidirect
57. #19098492C22semidirect
58. #19098492C22semidirect
67. #19098484C22semidirect
68. #19098483C22semidirect
74. #19098481C22semidirect
81. #19098479C22semidirect
88. #19098476C22semidirect
94. #19098472C22semidirect
95. #19098467C22semidirect
96. #19098467C22semidirect
97. #19098467C22semidirect
98. #19098467C22semidirect
103. #19098463C22semidirect
104. #19098463C22semidirect
105. #19098463C22semidirect
106. #19098461C22semidirect
107. #19098461C22semidirect
108. #19098458C22semidirect
109. #19098456C22semidirect
112. #19098455C22semidirect
113. #19098455C22semidirect
116. #19098454C22semidirect
117. #19098454C22semidirect
118. #19098453C22semidirect
128. #19098452C22semidirect
129. #19098452C22semidirect
130. #19098452C22semidirect
131. #19098451C22semidirect
132. #19098450C22semidirect
133. #19098449C22semidirect
134. #19098449C22semidirect
135. #19098448C22semidirect
136. #19098448C22semidirect
137. #19098446C22semidirect
138. #19098445C22semidirect
139. #19098444C22semidirect
147. #19098441C22semidirect
148. #19098441C22semidirect
154. #19098440C22semidirect
156. #19098438C22semidirect
157. #19098437C22semidirect
158. #19098437C22semidirect
159. #19098437C22semidirect
162. #19098430C22semidirect
163. #19098427C22semidirect
164. #19098425C22semidirect
166. #19098422C22semidirect
167. #19098422C22semidirect
168. #19098421C22semidirect
169. #19098421C22semidirect
172. #401×C79C22semidirect
173. #400×C79C22semidirect
174. #397×C79C22semidirect
175. #397×C79C22semidirect
176. #388×C79C22semidirect
177. #388×C79C22semidirect
178. #387×C79C22semidirect
183. #383×C79C22semidirect
815. #2510D79semidirect
826. C79#36795semidirect
846. #401C2×D79semidirect
849. #400C2×D79semidirect
861. #397C2×D79semidirect
862. #397C2×D79semidirect
931. #388C2×D79semidirect
932. #388C2×D79semidirect
941. #387C2×D79semidirect
969. #383C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717172
#237716972
#237713762
#237713382
#237713362
#237711092
#237710702
#237710342
#237710252
#237709692
#237707742
#237707182
#237707172
#237706462
#237704272
#237702142
#237701952
#237697992
#237691772
#237691372
#237675262
#237671502
#237670822
#237670082
#237669382
#237667832
#237667182
#237660712
#237659872
C2×#190984522
C79×#25102
#3679579