Finite Group Databasebeta

← #34496569

Subgroups — #34496569

Order 20224.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771691C211yesmaximal, characteristic, complemented
2#23771686C211yesmaximal, characteristic, complemented
3#23771079C211yesmaximal, characteristic, complemented
4#23770637C211yesmaximal, characteristic, complemented
5#23770577C211yesmaximal, characteristic, complemented
6#23770577C211yesmaximal, characteristic, complemented
7#23770538C211yesmaximal, characteristic, complemented
8#23770374C211yesmaximal, characteristic, complemented
9#23770124C211yesmaximal, characteristic, complemented
10#23770117C211yesmaximal, characteristic, complemented
11#23770081C211yesmaximal, characteristic, complemented
12#23769952C211yesmaximal, characteristic, complemented
13#23769940C211yesmaximal, characteristic, complemented
14#23769912C211yesmaximal, characteristic, complemented
15#23769904C211yesmaximal, characteristic, complemented
16#23769883C211yesmaximal, characteristic, complemented
17#23769826C211yesmaximal, characteristic, complemented
18#23769757C211yesmaximal, characteristic, complemented
19#23769370C211yesmaximal, characteristic, complemented
20#23767907C211yesmaximal, characteristic, complemented
21#23767653C211yesmaximal, characteristic, complemented
22#23767230C211yesmaximal, characteristic, complemented
23#23767064C211yesmaximal, characteristic, complemented
24#23766860C211yesmaximal, characteristic, complemented
25#23766795C211yesmaximal, characteristic, complemented
26#23766777C211yesmaximal, characteristic
27#23766729C211yesmaximal, characteristic, complemented
28#23766063C211yesmaximal, characteristic, complemented
29#23766011C211yesmaximal, characteristic, complemented
30C2×#19098441C211yesmaximal, characteristic, complemented
31C79×#2643C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579146C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579145C2211yescharacteristic, complemented
38C2×#14579143C2211yescharacteristic, complemented
39C2×#14579143C2211yescharacteristic, complemented
40C2×#14579143C2211yescharacteristic, complemented
41C2×#14579141C2211yescharacteristic, complemented
42C2×#14579139C2211yescharacteristic, complemented
43C2×#14579139C2211yescharacteristic, complemented
44C2×#14579138C2211yescharacteristic
45C2×#14579134C2211yescharacteristic
46C2×#14579134C2211yescharacteristic
47C2×#14579129C2211yescharacteristic
48C2×#14579129C2211yescharacteristic
49C2×D4×Dic79C2211yescharacteristic
50C22×(C2×D79)⋊C4C2211yescharacteristic
51C22×(C2×D79)⋊C4C2211yescharacteristic
52C22×(C2×D79)⋊C4C2211yescharacteristic
53C2×C22⋊C4×D79C2211yescharacteristic
54C2×C22⋊C4×D79C2211yescharacteristic
55#19098505C2211yescharacteristic, complemented
56#19098505C2211yescharacteristic, complemented
57#19098505C2211yescharacteristic, complemented
58#19098505C2211yescharacteristic, complemented
59#19098505C2211yescharacteristic, complemented
60#19098505C2211yescharacteristic, complemented
61#19098505C2211yescharacteristic, complemented
62#19098502C2211yescharacteristic, complemented
63#19098500C2211yescharacteristic, complemented
64#19098500C2211yescharacteristic, complemented
65#19098497C2211yescharacteristic, complemented
66#19098497C2211yescharacteristic, complemented
67#19098497C2211yescharacteristic, complemented
68#19098497C2211yescharacteristic, complemented
69#19098497C2211yescharacteristic, complemented
70#19098496C2211yescharacteristic, complemented
71#19098492C2211yescharacteristic, complemented
72#19098492C2211yescharacteristic, complemented
73#19098490C2211yescharacteristic, complemented
74#19098490C2211yescharacteristic, complemented
75#19098490C2211yescharacteristic, complemented
76#19098489C2211yescharacteristic, complemented
77#19098486C2211yescharacteristic, complemented
78#19098485C2211yescharacteristic, complemented
79#19098485C2211yescharacteristic, complemented
80#19098485C2211yescharacteristic, complemented
81#19098481C2211yescharacteristic
82#19098481C2211yescharacteristic
83#19098481C2211yescharacteristic
84#19098481C2211yescharacteristic
85#19098480C2211yescharacteristic
86#19098480C2211yescharacteristic
87#19098479C2211yescharacteristic, complemented
88#19098479C2211yescharacteristic, complemented
89#19098479C2211yescharacteristic, complemented
90#19098478C2211yescharacteristic, complemented
91#19098476C2211yescharacteristic, complemented
92#19098475C2211yescharacteristic, complemented
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098467C2211yescharacteristic, complemented
96#19098463C2211yescharacteristic, complemented
97#19098463C2211yescharacteristic, complemented
98#19098459C2211yescharacteristic, complemented
99#19098455C2211yescharacteristic, complemented
100#19098455C2211yescharacteristic, complemented
101#19098455C2211yescharacteristic, complemented
102#19098455C2211yescharacteristic, complemented
103#19098455C2211yescharacteristic, complemented
104#19098453C2211yescharacteristic, complemented
105#19098452C2211yescharacteristic, complemented
106#19098452C2211yescharacteristic, complemented
107#19098452C2211yescharacteristic, complemented
108#19098450C2211yescharacteristic, complemented
109#19098450C2211yescharacteristic, complemented
110#19098446C2211yescharacteristic, complemented
111#19098443C2211yescharacteristic
112#19098441C2211yescharacteristic
113#19098441C2211yescharacteristic
114#19098441C2211yescharacteristic
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098441C2211yescharacteristic
119#19098441C2211yescharacteristic
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098440C2211yescharacteristic, complemented
125#19098440C2211yescharacteristic, complemented
126#19098440C2211yescharacteristic, complemented
127#19098439C2211yescharacteristic, complemented
128#19098439C2211yescharacteristic, complemented
129#19098439C2211yescharacteristic, complemented
130#19098438C2211yescharacteristic
131#19098438C2211yescharacteristic
132#19098437C2211yescharacteristic, complemented
133#19098437C2211yescharacteristic, complemented
134#19098437C2211yescharacteristic, complemented
135#19098437C2211yescharacteristic, complemented
136#19098437C2211yescharacteristic, complemented
137#19098437C2211yescharacteristic, complemented
138#19098437C2211yescharacteristic, complemented
139#19098437C2211yescharacteristic, complemented
140#19098437C2211yescharacteristic, complemented
141#19098436C2211yescharacteristic
142#19098436C2211yescharacteristic
143#19098436C2211yescharacteristic
144#19098436C2211yescharacteristic
145#19098435C2211yescharacteristic
146#19098435C2211yescharacteristic, complemented
147#19098434C2211yescharacteristic, complemented
148#19098434C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098428C2211yescharacteristic, complemented
152#19098425C2211yescharacteristic, complemented
153#19098425C2211yescharacteristic, complemented
154#19098425C2211yescharacteristic, complemented
155#19098423C2211yescharacteristic
156#19098423C2211yescharacteristic
157#19098422C2211yescharacteristic, complemented
158#19098422C2211yescharacteristic, complemented
159#19098422C2211yescharacteristic, complemented
160#19098422C2211yescharacteristic, complemented
161#19098421C2211yescharacteristic
162#19098421C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170C22⋊C4×Dic79C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172#401×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#400×C79C2211yescharacteristic, complemented
175#400×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#397×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316—24no—
191C22×D316—42no—
192C22×D316—42no—
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79—42no—
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215#14579156—42no—
216#14579146—42no—
217#14579146—42no—
218#14579145—42no—
219#14579143—42no—
220#14579143—42no—
221#14579143—42no—
222#14579141—42no—
223#14579139—42no—
224#14579139—42no—
225#14579138—42no—
226#14579134—42no—
227#14579134—42no—
228#14579129—24no—
229#14579129—42no—
230D4×Dic79—42no—
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×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×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×(C2×D79)⋊C4—42no—
263C2×(C2×D79)⋊C4—42no—
264C2×(C2×D79)⋊C4—42no—
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
301C22⋊C4×D79—24no—
302C22⋊C4×D79—42no—
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
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
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
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
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
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—22no—
375C23×D79—22no—
376C23×D79—41no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79#4114yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C23×D79C2411yescharacteristic
387C2×Dic158—22no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—22no—
394C2×D316—22no—
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—416no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C22×Dic79—22no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
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—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—416no—
461C4⋊Dic79—22no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470C4⋊Dic79—41no—
471Dic79⋊C4—22no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484Dic79⋊C4—41no—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492(C2×D79)⋊C4—22no—
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—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
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—
528C4×Dic79—41no—
529C4×Dic79—41no—
530C4×Dic79—41no—
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C2×D4×C79—22no—
534C2×D4×C79—22no—
535C2×D4×C79—22no—
536C22×C4×C79—22no—
537C22×C4×C79—22no—
538C22×C4×C79—22no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
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
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79C2×#4112yes—
585C23×C79H(5,𝔽2)12yes—
586C23×C792−1+412yes—
587C23×C79C2511yescharacteristic
588C22×D79—28no—
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—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—28no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—44no—
620C22×D79—44no—
621C22×D79—44no—
622C22×D79—82no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79C2×#4112yes—
627C22×D79C2×#4112yes—
628C22×D79H(5,𝔽2)12yes—
629C22×D79H(5,𝔽2)12yes—
630D4×C79—44no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—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—44no—
671C2×C4×C79—44no—
672C2×C4×C79—82no—
673C22⋊D79—82no—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—44no—
713C2×Dic79—82no—
714C2×Dic79—82no—
715C2×Dic79H(5,𝔽2)12yes—
716D316—44no—
717D316—44no—
718D316—44no—
719D316—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—82no—
725C4×D79—82no—
726C4×D79—82no—
727C4×D79—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79#53914yes—
743C22×C79C22×#4111yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×H(5,𝔽2)11yescharacteristic
746C22×C79C2×H(5,𝔽2)11yescharacteristic
747C22×C79C2×H(5,𝔽2)11yescharacteristic
748C22×C79C2×2−1+411yescharacteristic
749C22×C79#58511yescharacteristic
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—416no—
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—88no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793Dic79—22no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805#36775—791nomaximal, Sylow
806C2×C79—24no—
807C2×C79—81no—
808C2×C79C2×#53911yescharacteristic
809C2×C79#349011yescharacteristic
810C2×C79#350511yescharacteristic
811C2×C79#353211yescharacteristic
812C2×C79#353411yescharacteristic
813C2×C79#353511yescharacteristic
814C2×C79#353611yescharacteristic
815D79—42no—
816D79—42no—
817D79—42no—
818D79—42no—
819#2849—791no—
820#2848—791no—
821#2782—791no—
822#2750—791no—
823#2746—791no—
824#2746—791no—
825#2743—791no—
826#2728—791no—
827#2708—791no—
828#2708—791no—
829#2706—791no—
830#2696—791no—
831#2695—791no—
832#2693—791no—
833#2693—791no—
834#2691—791no—
835#2687—791no—
836#2681—791no—
837#2646—791no—
838#2643D7911yescharacteristic, complemented
839#2505—791no—
840#2480—791no—
841#2450—791no—
842#2437—791no—
843#2418—791no—
844#2412—791no—
845#2410—791no—
846#2405—791no—
847#2321—791no—
848#2315—791no—
849C2×#386—791no—
850C79#3677511yescharacteristic, complemented, Sylow
851C23×D4—791no—
852C24×C4—791no—
853C2×#126—791no—
854C2×#123—791no—
855C2×#123—791no—
856C2×#123—791no—
857C2×#123—791no—
858C2×#123—791no—
859C2×#123—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×#121—791no—
865C2×#121—791no—
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872C22×C22⋊C4—791no—
873C22×C22⋊C4—791no—
874#401C2×D7911yescharacteristic, complemented
875#400—791no—
876#400—791no—
877#400—791no—
878#400—791no—
879#400—791no—
880#400—791no—
881#400—791no—
882#400—791no—
883#400C2×D7911yescharacteristic, complemented
884#400C2×D7911yescharacteristic, complemented
885#400C2×D7911yescharacteristic, complemented
886#399—791no—
887#399—791no—
888#398—791no—
889#398—791no—
890#398—791no—
891#398—791no—
892#398—791no—
893#398—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397C2×D7911yescharacteristic, complemented
901#397C2×D7911yescharacteristic, complemented
902#397C2×D7911yescharacteristic, complemented
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#396C2×D7911yescharacteristic, complemented
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#393—791no—
919#393—791no—
920#392—791no—
921#392—791no—
922#391—791no—
923#390—791no—
924#390—791no—
925#389—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#387—791no—
936#387—791no—
937#387—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
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#385—791no—
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385C2×D7911yescharacteristic
982#385C2×D7911yescharacteristic
983#385C2×D7911yescharacteristic
984#382—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#379—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C22⋊C4—791no—
1004C2×#95—791no—
1005C2×#95C2×D7911yescharacteristic
1006C25—791no—
1007C25—791no—
1008C22×Q8—791no—
1009C22×D4—3162no—
1010C22×D4—3162no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—1584no—
1020C22×D4C22×D7911yescharacteristic
1021C23×C4—3162no—
1022C23×C4—3162no—
1023C23×C4—3162no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4—791no—
1033C23×C4—791no—
1034C23×C4—791no—
1035C23×C4C22×D7911yescharacteristic
1036C23×C4C22×D7911yescharacteristic
1037C23×C4C22×D7911yescharacteristic
1038#126—3162no—
1039#123—3162no—
1040#123—3162no—
1041#123—3162no—
1042#123—3162no—
1043#123—3162no—
1044#123—3162no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—3162no—
1047C22⋊Q8—3162no—
1048C22⋊Q8—3162no—
1049#121—3162no—
1050#121—3162no—
1051#120—3162no—
1052#120—1584no—
1053C4×D4—3162no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C4⋊C4C22×D7911yescharacteristic
1083C2×C4⋊C4C22×D7911yescharacteristic
1084C2×C22⋊C4—3162no—
1085C2×C22⋊C4—3162no—
1086C2×C22⋊C4—3162no—
1087C2×C22⋊C4—3162no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊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—1584no—
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95C22×D7911yescharacteristic
1173#95C22×D7911yescharacteristic
1174#95C22×D7911yescharacteristic
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186#95C22×D7911yescharacteristic
1187#95C22×D7911yescharacteristic
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—3161no—
1192C24—3161no—
1193C24—3161no—
1194C24—794no—
1195C24—791no—
1196C24—791no—
1197C24—791no—
1198C24—791no—
1199C24—1582no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24—1582no—
1204C24—1582no—
1205C24—1582no—
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—1582no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—3161no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
1218C2×D4—31616no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—1582no—
1228C2×D4—1582no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—31616no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C22×C4C23×D7911yescharacteristic
1305C22×C4C23×D7911yescharacteristic
1306C22×C4C23×D7911yescharacteristic
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—1582no—
1336C4⋊C4—1582no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C42—3161no—
1390C42—3161no—
1391C42—3161no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—3164no—
1404C23—3164no—
1405C23—3164no—
1406C23—3164no—
1407C23—3164no—
1408C23—3164no—
1409C23—3164no—
1410C23—3164no—
1411C23—792no—
1412C23—792no—
1413C23—792no—
1414C23—792no—
1415C23—6322no—
1416C23—6322no—
1417C23—6322no—
1418C23—6322no—
1419C23—1588no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1588no—
1445C23#41×D7912yes—
1446C23#1457920712yes—
1447C23#1457920812yes—
1448C23C24×D7911yescharacteristic
1449Q8—6322no—
1450D4—44no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
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—44no—
1499C2×C4—44no—
1500C2×C4—82no—
1501C2×C4—3164no—
1502C2×C4—3164no—
1503C2×C4—3164no—
1504C2×C4—3164no—
1505C2×C4—3164no—
1506C2×C4—792no—
1507C2×C4—6322no—
1508C2×C4—6322no—
1509C2×C4—6322no—
1510C2×C4—6322no—
1511C2×C4—6322no—
1512C2×C4—6322no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×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—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—31616no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—6328no—
1579C22—1582no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22—1582no—
1591C22#1909915414yes—
1592C22C2×#41×D7911yescharacteristic
1593C22H(5,𝔽2)×D7911yescharacteristic
1594C22H(5,𝔽2)×D7911yescharacteristic
1595C22H(5,𝔽2)×D7911yescharacteristic
1596C22C2×#1457920711yescharacteristic
1597C22C2×#1457920811yescharacteristic
1598C22#1909940011yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—3161no—
1622C4—3161no—
1623C4—1582no—
1624C2—24no—
1625C2—81no—
1626C2—3162no—
1627C2—3162no—
1628C2—3162no—
1629C2—3162no—
1630C2C2×#1909915411yescharacteristic
1631C2#2377708611yescharacteristic
1632C2#2377723211yescharacteristic
1633C2#2377755111yescharacteristic
1634C2#2377758811yescharacteristic
1635C2#2377760611yescharacteristic
1636C2#2377762111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2643C2
prime radical#23766777C2
hypercenter#2643D79
hypocenterC79#36775
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2643

Complements

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

NH ≅ G/Ntype
1. #23771691C2semidirect
2. #23771686C2semidirect
3. #23771079C2semidirect
4. #23770637C2semidirect
5. #23770577C2semidirect
6. #23770577C2semidirect
7. #23770538C2semidirect
8. #23770374C2semidirect
9. #23770124C2semidirect
10. #23770117C2semidirect
11. #23770081C2semidirect
12. #23769952C2semidirect
13. #23769940C2semidirect
14. #23769912C2semidirect
15. #23769904C2semidirect
16. #23769883C2semidirect
17. #23769826C2semidirect
18. #23769757C2semidirect
19. #23769370C2semidirect
20. #23767907C2semidirect
21. #23767653C2semidirect
22. #23767230C2semidirect
23. #23767064C2semidirect
24. #23766860C2semidirect
25. #23766795C2semidirect
27. #23766729C2semidirect
28. #23766063C2semidirect
29. #23766011C2semidirect
30. C2×#19098441C2semidirect
31. C79×#2643C2semidirect
34. C2×#14579156C22semidirect
37. C2×#14579145C22semidirect
38. C2×#14579143C22semidirect
39. C2×#14579143C22semidirect
40. C2×#14579143C22semidirect
41. C2×#14579141C22semidirect
42. C2×#14579139C22semidirect
43. C2×#14579139C22semidirect
55. #19098505C22semidirect
56. #19098505C22semidirect
57. #19098505C22semidirect
58. #19098505C22semidirect
59. #19098505C22semidirect
60. #19098505C22semidirect
61. #19098505C22semidirect
62. #19098502C22semidirect
63. #19098500C22semidirect
64. #19098500C22semidirect
65. #19098497C22semidirect
66. #19098497C22semidirect
67. #19098497C22semidirect
68. #19098497C22semidirect
69. #19098497C22semidirect
70. #19098496C22semidirect
71. #19098492C22semidirect
72. #19098492C22semidirect
73. #19098490C22semidirect
74. #19098490C22semidirect
75. #19098490C22semidirect
76. #19098489C22semidirect
77. #19098486C22semidirect
78. #19098485C22semidirect
79. #19098485C22semidirect
80. #19098485C22semidirect
87. #19098479C22semidirect
88. #19098479C22semidirect
89. #19098479C22semidirect
90. #19098478C22semidirect
91. #19098476C22semidirect
92. #19098475C22semidirect
95. #19098467C22semidirect
96. #19098463C22semidirect
97. #19098463C22semidirect
98. #19098459C22semidirect
99. #19098455C22semidirect
100. #19098455C22semidirect
101. #19098455C22semidirect
102. #19098455C22semidirect
103. #19098455C22semidirect
104. #19098453C22semidirect
105. #19098452C22semidirect
106. #19098452C22semidirect
107. #19098452C22semidirect
108. #19098450C22semidirect
109. #19098450C22semidirect
110. #19098446C22semidirect
124. #19098440C22semidirect
125. #19098440C22semidirect
126. #19098440C22semidirect
127. #19098439C22semidirect
128. #19098439C22semidirect
129. #19098439C22semidirect
132. #19098437C22semidirect
133. #19098437C22semidirect
134. #19098437C22semidirect
135. #19098437C22semidirect
136. #19098437C22semidirect
137. #19098437C22semidirect
138. #19098437C22semidirect
139. #19098437C22semidirect
140. #19098437C22semidirect
146. #19098435C22semidirect
147. #19098434C22semidirect
148. #19098434C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
151. #19098428C22semidirect
152. #19098425C22semidirect
153. #19098425C22semidirect
154. #19098425C22semidirect
157. #19098422C22semidirect
158. #19098422C22semidirect
159. #19098422C22semidirect
160. #19098422C22semidirect
162. #19098421C22semidirect
163. #19098420C22semidirect
164. #19098420C22semidirect
165. #19098420C22semidirect
172. #401×C79C22semidirect
173. #400×C79C22semidirect
174. #400×C79C22semidirect
175. #400×C79C22semidirect
176. #397×C79C22semidirect
177. #397×C79C22semidirect
178. #397×C79C22semidirect
179. #396×C79C22semidirect
838. #2643D79semidirect
850. C79#36775semidirect
874. #401C2×D79semidirect
883. #400C2×D79semidirect
884. #400C2×D79semidirect
885. #400C2×D79semidirect
900. #397C2×D79semidirect
901. #397C2×D79semidirect
902. #397C2×D79semidirect
907. #396C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716912
#237716862
#237710792
#237706372
#237705772
#237705382
#237703742
#237701242
#237701172
#237700812
#237699522
#237699402
#237699122
#237699042
#237698832
#237698262
#237697572
#237693702
#237679072
#237676532
#237672302
#237670642
#237668602
#237667952
#237667772
#237667292
#237660632
#237660112
C2×#190984412
C79×#26432
#3677579