Finite Group Databasebeta

← #34500843

Subgroups — #34500843

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#23771745C211yesmaximal, characteristic, complemented
2#23771209C211yesmaximal, characteristic, complemented
3#23770620C211yesmaximal, characteristic, complemented
4#23770452C211yesmaximal, characteristic, complemented
5#23770278C211yesmaximal, characteristic, complemented
6#23770160C211yesmaximal, characteristic, complemented
7#23770132C211yesmaximal, characteristic, complemented
8#23770067C211yesmaximal, characteristic, complemented
9#23769989C211yesmaximal, characteristic, complemented
10#23769837C211yesmaximal, characteristic, complemented
11#23769810C211yesmaximal, characteristic, complemented
12#23769785C211yesmaximal, characteristic, complemented
13#23769726C211yesmaximal, characteristic, complemented
14#23769704C211yesmaximal, characteristic, complemented
15#23769640C211yesmaximal, characteristic, complemented
16#23769615C211yesmaximal, characteristic, complemented
17#23769606C211yesmaximal, characteristic, complemented
18#23769543C211yesmaximal, characteristic, complemented
19#23769439C211yesmaximal, characteristic, complemented
20#23768533C211yesmaximal, characteristic, complemented
21#23768472C211yesmaximal, characteristic, complemented
22#23768033C211yesmaximal, characteristic, complemented
23#23767751C211yesmaximal, characteristic, complemented
24#23767524C211yesmaximal, characteristic, complemented
25#23767449C211yesmaximal, characteristic, complemented
26#23767299C211yesmaximal, characteristic, complemented
27#23766935C211yesmaximal, characteristic, complemented
28#23766164C211yesmaximal, characteristic, complemented
29#23766053C211yesmaximal, characteristic, complemented
30C4×#14579144C211yesmaximal, characteristic, complemented
31C79×#2852C211yesmaximal, characteristic, complemented
32C2×#14579158C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579151C2211yescharacteristic, complemented
35C2×#14579147C2211yescharacteristic
36C2×#14579147C2211yescharacteristic, complemented
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579144C2211yescharacteristic
39C2×#14579141C2211yescharacteristic
40C2×#14579136C2211yescharacteristic
41C2×#14579135C2211yescharacteristic
42C2×#14579135C2211yescharacteristic
43C2×#14579135C2211yescharacteristic
44C2×#14579135C2211yescharacteristic, complemented
45C2×#14579135C2211yescharacteristic, complemented
46C2×#14579135C2211yescharacteristic, complemented
47C2×#14579134C2211yescharacteristic
48C2×#14579134C2211yescharacteristic
49C2×#14579132C2211yescharacteristic
50C2×#14579131C2211yescharacteristic
51C2×#14579131C2211yescharacteristic
52C2×#14579131C2211yescharacteristic
53C2×#14579129C2211yescharacteristic
54C2×#14579123C2211yescharacteristic
55C2×C4×C22⋊D79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57#19098505C2211yescharacteristic, complemented
58#19098503C2211yescharacteristic, complemented
59#19098500C2211yescharacteristic
60#19098498C2211yescharacteristic
61#19098498C2211yescharacteristic, complemented
62#19098496C2211yescharacteristic, complemented
63#19098495C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic
65#19098492C2211yescharacteristic, complemented
66#19098492C2211yescharacteristic, complemented
67#19098490C2211yescharacteristic
68#19098488C2211yescharacteristic
69#19098488C2211yescharacteristic
70#19098487C2211yescharacteristic, complemented
71#19098486C2211yescharacteristic
72#19098486C2211yescharacteristic
73#19098485C2211yescharacteristic
74#19098485C2211yescharacteristic, complemented
75#19098484C2211yescharacteristic, complemented
76#19098484C2211yescharacteristic, complemented
77#19098481C2211yescharacteristic
78#19098481C2211yescharacteristic
79#19098481C2211yescharacteristic
80#19098481C2211yescharacteristic
81#19098481C2211yescharacteristic, complemented
82#19098480C2211yescharacteristic
83#19098480C2211yescharacteristic
84#19098480C2211yescharacteristic
85#19098480C2211yescharacteristic
86#19098480C2211yescharacteristic, complemented
87#19098479C2211yescharacteristic
88#19098479C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic, complemented
91#19098478C2211yescharacteristic
92#19098478C2211yescharacteristic
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic, complemented
95#19098476C2211yescharacteristic
96#19098476C2211yescharacteristic, complemented
97#19098473C2211yescharacteristic
98#19098473C2211yescharacteristic
99#19098472C2211yescharacteristic
100#19098472C2211yescharacteristic
101#19098472C2211yescharacteristic
102#19098472C2211yescharacteristic
103#19098471C2211yescharacteristic
104#19098471C2211yescharacteristic
105#19098465C2211yescharacteristic
106#19098465C2211yescharacteristic
107#19098465C2211yescharacteristic
108#19098465C2211yescharacteristic, complemented
109#19098465C2211yescharacteristic, complemented
110#19098465C2211yescharacteristic, complemented
111#19098464C2211yescharacteristic
112#19098463C2211yescharacteristic
113#19098463C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098456C2211yescharacteristic
119#19098456C2211yescharacteristic
120#19098455C2211yescharacteristic
121#19098455C2211yescharacteristic
122#19098455C2211yescharacteristic, complemented
123#19098455C2211yescharacteristic, complemented
124#19098454C2211yescharacteristic
125#19098454C2211yescharacteristic
126#19098453C2211yescharacteristic
127#19098453C2211yescharacteristic
128#19098453C2211yescharacteristic, complemented
129#19098453C2211yescharacteristic, complemented
130#19098452C2211yescharacteristic
131#19098452C2211yescharacteristic
132#19098452C2211yescharacteristic, complemented
133#19098450C2211yescharacteristic, complemented
134#19098449C2211yescharacteristic, complemented
135#19098448C2211yescharacteristic, complemented
136#19098448C2211yescharacteristic, complemented
137#19098447C2211yescharacteristic, complemented
138#19098447C2211yescharacteristic, complemented
139#19098442C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic, complemented
149#19098441C2211yescharacteristic, complemented
150#19098441C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic
155#19098437C2211yescharacteristic
156#19098436C2211yescharacteristic, complemented
157#19098433C2211yescharacteristic, complemented
158#19098426C2211yescharacteristic, complemented
159#19098425C2211yescharacteristic, complemented
160#19098425C2211yescharacteristic, complemented
161#19098422C2211yescharacteristic, complemented
162#19098420C2211yescharacteristic, complemented
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic
165C4×Dic79⋊C4C2211yescharacteristic, complemented
166C4×Dic79⋊C4C2211yescharacteristic, complemented
167C4×(C2×D79)⋊C4C2211yescharacteristic
168C4×(C2×D79)⋊C4C2211yescharacteristic
169C4×C22⋊Dic79C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172C2×#126×C79C2211yescharacteristic
173C22×C42×C79C2211yescharacteristic, complemented
174#388×C79C2211yescharacteristic
175#388×C79C2211yescharacteristic
176#388×C79C2211yescharacteristic
177#387×C79C2211yescharacteristic, complemented
178#387×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#383×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
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
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211#14579158—42no—
212#14579156—42no—
213#14579151—42no—
214#14579147—42no—
215#14579147—42no—
216#14579146—42no—
217#14579144—24no—
218#14579141—42no—
219#14579136—24no—
220#14579135—42no—
221#14579135—42no—
222#14579135—42no—
223#14579135—42no—
224#14579135—42no—
225#14579135—42no—
226#14579134—42no—
227#14579134—42no—
228#14579132—42no—
229#14579131—24no—
230#14579131—42no—
231#14579131—42no—
232#14579129—42no—
233#14579123—42no—
234C4×C22⋊D79—42no—
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×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C22⋊C4×D79—42no—
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
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
332C22×D4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#126×C79—42no—
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C22⋊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×C42×C79—42no—
353C2×C42×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355C2×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—41no—
371C23×D79—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C23×D79C2411yescharacteristic
380C23×D79C2411yescharacteristic
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×Dic158—41no—
384C2×D316—22no—
385C2×D316—22no—
386C2×D316—22no—
387C2×D316—22no—
388C2×D316—22no—
389C2×D316—22no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316—41no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C2×C4×D79—22no—
447C2×C4×D79—22no—
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—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C4⋊Dic79—22no—
462C4⋊Dic79—22no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4#4114yes—
529C4×Dic79—22no—
530C4×Dic79—41no—
531C4×Dic79—41no—
532C4×Dic79—41no—
533C4×Dic79—41no—
534C4×Dic79—41no—
535C24×C79C2411yescharacteristic
536C24×C79C2411yescharacteristic
537C2×D4×C79—22no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C22×C4×C79—22no—
541C22×C4×C79—22no—
542C22×C4×C79—22no—
543C22×C4×C79—22no—
544C22×C4×C79—22no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79—41no—
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C4⋊C4×C79—22no—
563C4⋊C4×C79—22no—
564C4⋊C4×C79—22no—
565C4⋊C4×C79—22no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C42×C79—22no—
578C42×C79—22no—
579C42×C79—41no—
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×C79H(5,𝔽2)12yes—
595C23×C79C2511yescharacteristic
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—44no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79C2×#4112yes—
638D4×C79—82no—
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—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—44no—
675C2×C4×C79—44no—
676C2×C4×C79—44no—
677C2×C4×C79C2×#4112yes—
678C2×C4×C79H(5,𝔽2)12yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C2×C4×C79H(5,𝔽2)12yes—
681C22⋊D79—44no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C22⋊D79—82no—
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×Dic79C2×#4112yes—
722D316—44no—
723D316—82no—
724D316—82no—
725D316—82no—
726D316—82no—
727D316—82no—
728D316—82no—
729D316—82no—
730D316—82no—
731C4×D79—82no—
732C4×D79—82no—
733C4×D79—82no—
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×C79C22×#4111yescharacteristic
752C22×C79C2×H(5,𝔽2)11yescharacteristic
753C22×C79C2×H(5,𝔽2)11yescharacteristic
754C22×C79C2×H(5,𝔽2)11yescharacteristic
755C22×C79C2×H(5,𝔽2)11yescharacteristic
756C22×C79#58511yescharacteristic
757C22×C79#58511yescharacteristic
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
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—
775C2×D79—41no—
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—88no—
794C4×C79—22no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—22no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807Dic79—22no—
808Dic79—41no—
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#346011yescharacteristic
822C2×C79#351411yescharacteristic
823C2×C79#351911yescharacteristic
824C2×C79#353411yescharacteristic
825C2×C79#354211yescharacteristic
826C2×C79#354311yescharacteristic
827C2×C79#356011yescharacteristic
828D79—42no—
829D79—81no—
830D79—81no—
831D79—81no—
832D79—81no—
833#2856—791no—
834#2852D7911yescharacteristic, complemented
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#2685—791no—
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×#120—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C22×C22⋊C4—791no—
891C22×C42C2×D7911yescharacteristic, complemented
892#400—791no—
893#400—791no—
894#399—791no—
895#399—791no—
896#399—791no—
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#396—791no—
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#394—791no—
927#394—791no—
928#394—791no—
929#394—791no—
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#390—791no—
951#390—791no—
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#387C2×D7911yescharacteristic, complemented
978#387C2×D7911yescharacteristic, complemented
979#387C2×D7911yescharacteristic, complemented
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#386C2×D7911yescharacteristic
996#386C2×D7911yescharacteristic
997#386C2×D7911yescharacteristic
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385C2×D7911yescharacteristic, complemented
1002#385C2×D7911yescharacteristic, complemented
1003#385C2×D7911yescharacteristic, complemented
1004#384—791no—
1005#383C2×D7911yescharacteristic, complemented
1006#381—791no—
1007#381—791no—
1008#381—791no—
1009#380—791no—
1010#380—791no—
1011#379—791no—
1012#379—791no—
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—
1020C25—791no—
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×D4—791no—
1038C22×D4—791no—
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4C22×D7911yescharacteristic
1046C23×C4C22×D7911yescharacteristic
1047C23×C4C22×D7911yescharacteristic
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—3162no—
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⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊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—42no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42C22×D7911yescharacteristic
1165C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202C24—3161no—
1203C24—3161no—
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—791no—
1209C24—791no—
1210C24—791no—
1211C24—791no—
1212C24—791no—
1213C24—1582no—
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×D4—22no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
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—1582no—
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—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
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—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
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—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4C23×D7911yescharacteristic
1309C22×C4C23×D7911yescharacteristic
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—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
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—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
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—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
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—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—794no—
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—22no—
1406C42—41no—
1407C42—41no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
1412C42—3161no—
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—3164no—
1428C23—792no—
1429C23—6322no—
1430C23—6322no—
1431C23—6322no—
1432C23—6322no—
1433C23—6322no—
1434C23—6322no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23—1581no—
1447C23—1581no—
1448C23—1581no—
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#1457920712yes—
1470C23C24×D7911yescharacteristic
1471Q8—6322no—
1472D4—82no—
1473D4—3164no—
1474D4—3164no—
1475D4—6322no—
1476D4—6322no—
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—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
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#41×D7912yes—
1567C2×C4#1457920612yes—
1568C2×C4#1457920712yes—
1569C2×C4#1457920712yes—
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—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22—3161no—
1591C22—3161no—
1592C22—3161no—
1593C22—3161no—
1594C22—3161no—
1595C22—3161no—
1596C22—3161no—
1597C22—3161no—
1598C22—3161no—
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—6328no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C2×#41×D7911yescharacteristic
1621C22C2×#1457920611yescharacteristic
1622C22C2×#1457920711yescharacteristic
1623C22C2×#1457920711yescharacteristic
1624C22C2×#1457920711yescharacteristic
1625C22#1909939911yescharacteristic
1626C22#1909939911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—1582no—
1651C2—42no—
1652C2—81no—
1653C2—3162no—
1654C2—6321no—
1655C2—6321no—
1656C2—6321no—
1657C2—6321no—
1658C2#2377682111yescharacteristic
1659C2#2377736311yescharacteristic
1660C2#2377742011yescharacteristic
1661C2#2377758411yescharacteristic
1662C2#2377771611yescharacteristic
1663C2#2377773011yescharacteristic
1664C2#2377795211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2852C2
hypercenter#2852D79
hypocenterC79#36921
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. #23771745C2semidirect
2. #23771209C2semidirect
3. #23770620C2semidirect
4. #23770452C2semidirect
5. #23770278C2semidirect
6. #23770160C2semidirect
7. #23770132C2semidirect
8. #23770067C2semidirect
9. #23769989C2semidirect
10. #23769837C2semidirect
11. #23769810C2semidirect
12. #23769785C2semidirect
13. #23769726C2semidirect
14. #23769704C2semidirect
15. #23769640C2semidirect
16. #23769615C2semidirect
17. #23769606C2semidirect
18. #23769543C2semidirect
19. #23769439C2semidirect
20. #23768533C2semidirect
21. #23768472C2semidirect
22. #23768033C2semidirect
23. #23767751C2semidirect
24. #23767524C2semidirect
25. #23767449C2semidirect
26. #23767299C2semidirect
27. #23766935C2semidirect
28. #23766164C2semidirect
29. #23766053C2semidirect
30. C4×#14579144C2semidirect
31. C79×#2852C2semidirect
33. C2×#14579156C22semidirect
34. C2×#14579151C22semidirect
36. C2×#14579147C22semidirect
37. C2×#14579146C22semidirect
44. C2×#14579135C22semidirect
45. C2×#14579135C22semidirect
46. C2×#14579135C22semidirect
57. #19098505C22semidirect
58. #19098503C22semidirect
61. #19098498C22semidirect
62. #19098496C22semidirect
63. #19098495C22semidirect
65. #19098492C22semidirect
66. #19098492C22semidirect
70. #19098487C22semidirect
74. #19098485C22semidirect
75. #19098484C22semidirect
76. #19098484C22semidirect
81. #19098481C22semidirect
86. #19098480C22semidirect
90. #19098479C22semidirect
94. #19098478C22semidirect
96. #19098476C22semidirect
108. #19098465C22semidirect
109. #19098465C22semidirect
110. #19098465C22semidirect
116. #19098463C22semidirect
117. #19098462C22semidirect
122. #19098455C22semidirect
123. #19098455C22semidirect
128. #19098453C22semidirect
129. #19098453C22semidirect
132. #19098452C22semidirect
133. #19098450C22semidirect
134. #19098449C22semidirect
135. #19098448C22semidirect
136. #19098448C22semidirect
137. #19098447C22semidirect
138. #19098447C22semidirect
148. #19098441C22semidirect
149. #19098441C22semidirect
150. #19098441C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
156. #19098436C22semidirect
157. #19098433C22semidirect
158. #19098426C22semidirect
159. #19098425C22semidirect
160. #19098425C22semidirect
161. #19098422C22semidirect
162. #19098420C22semidirect
165. C4×Dic79⋊C4C22semidirect
166. C4×Dic79⋊C4C22semidirect
169. C4×C22⋊Dic79C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
173. C22×C42×C79C22semidirect
177. #387×C79C22semidirect
178. #387×C79C22semidirect
179. #387×C79C22semidirect
183. #385×C79C22semidirect
184. #385×C79C22semidirect
185. #385×C79C22semidirect
186. #383×C79C22semidirect
834. #2852D79semidirect
864. C79#36921semidirect
891. C22×C42C2×D79semidirect
977. #387C2×D79semidirect
978. #387C2×D79semidirect
979. #387C2×D79semidirect
1001. #385C2×D79semidirect
1002. #385C2×D79semidirect
1003. #385C2×D79semidirect
1005. #383C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717452
#237712092
#237706202
#237704522
#237702782
#237701602
#237701322
#237700672
#237699892
#237698372
#237698102
#237697852
#237697262
#237697042
#237696402
#237696152
#237696062
#237695432
#237694392
#237685332
#237684722
#237680332
#237677512
#237675242
#237674492
#237672992
#237669352
#237661642
#237660532
C4×#145791442
C79×#28522
#3692179