Finite Group Databasebeta

← #34497197

Subgroups — #34497197

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#23771378C211yesmaximal, characteristic, complemented
4#23771337C211yesmaximal, characteristic, complemented
5#23771327C211yesmaximal, characteristic, complemented
6#23771114C211yesmaximal, characteristic, complemented
7#23771060C211yesmaximal, characteristic, complemented
8#23771027C211yesmaximal, characteristic, complemented
9#23771012C211yesmaximal, characteristic, complemented
10#23770973C211yesmaximal, characteristic, complemented
11#23770764C211yesmaximal, characteristic, complemented
12#23770726C211yesmaximal, characteristic, complemented
13#23770719C211yesmaximal, characteristic, complemented
14#23770657C211yesmaximal, characteristic, complemented
15#23770427C211yesmaximal, characteristic, complemented
16#23770212C211yesmaximal, characteristic, complemented
17#23770197C211yesmaximal, characteristic, complemented
18#23769810C211yesmaximal, characteristic, complemented
19#23769178C211yesmaximal, characteristic, complemented
20#23769140C211yesmaximal, characteristic, complemented
21#23767954C211yesmaximal, characteristic, complemented
22#23767526C211yesmaximal, characteristic, complemented
23#23767144C211yesmaximal, characteristic, complemented
24#23767078C211yesmaximal, characteristic, complemented
25#23767012C211yesmaximal, characteristic, complemented
26#23766930C211yesmaximal, characteristic, complemented
27#23766786C211yesmaximal, characteristic, complemented
28#23766721C211yesmaximal, characteristic, complemented
29#23765993C211yesmaximal, characteristic, complemented
30C2×#19098453C211yesmaximal, characteristic, complemented
31C79×#2322C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579149C2211yescharacteristic
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579138C2211yescharacteristic
37C2×#14579135C2211yescharacteristic
38C2×#14579133C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579131C2211yescharacteristic
41C2×#14579131C2211yescharacteristic
42C2×#14579129C2211yescharacteristic
43C2×#14579120C2211yescharacteristic
44C22×(C2×D79)⋊C4C2211yescharacteristic
45C22×(C2×D79)⋊C4C2211yescharacteristic
46C22×(C2×D79)⋊C4C2211yescharacteristic
47C22×C4×Dic79C2211yescharacteristic
48C79⋊#401C2211yescharacteristic, complemented
49#19098505C2211yescharacteristic, complemented
50#19098504C2211yescharacteristic, complemented
51#19098501C2211yescharacteristic, complemented
52#19098497C2211yescharacteristic, complemented
53#19098495C2211yescharacteristic, complemented
54#19098492C2211yescharacteristic
55#19098492C2211yescharacteristic
56#19098492C2211yescharacteristic
57#19098492C2211yescharacteristic
58#19098492C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic, complemented
61#19098490C2211yescharacteristic
62#19098489C2211yescharacteristic
63#19098489C2211yescharacteristic
64#19098489C2211yescharacteristic, complemented
65#19098485C2211yescharacteristic
66#19098485C2211yescharacteristic
67#19098485C2211yescharacteristic
68#19098484C2211yescharacteristic, complemented
69#19098483C2211yescharacteristic, complemented
70#19098481C2211yescharacteristic
71#19098481C2211yescharacteristic
72#19098481C2211yescharacteristic
73#19098481C2211yescharacteristic
74#19098481C2211yescharacteristic
75#19098481C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098480C2211yescharacteristic
78#19098480C2211yescharacteristic
79#19098480C2211yescharacteristic, complemented
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic
82#19098479C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic, complemented
86#19098476C2211yescharacteristic
87#19098476C2211yescharacteristic
88#19098476C2211yescharacteristic
89#19098475C2211yescharacteristic, complemented
90#19098473C2211yescharacteristic
91#19098473C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic, complemented
96#19098468C2211yescharacteristic, complemented
97#19098468C2211yescharacteristic, complemented
98#19098467C2211yescharacteristic, complemented
99#19098467C2211yescharacteristic, complemented
100#19098465C2211yescharacteristic
101#19098465C2211yescharacteristic
102#19098464C2211yescharacteristic, complemented
103#19098464C2211yescharacteristic, complemented
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic, complemented
107#19098460C2211yescharacteristic, complemented
108#19098456C2211yescharacteristic, complemented
109#19098455C2211yescharacteristic, complemented
110#19098455C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic
112#19098454C2211yescharacteristic
113#19098454C2211yescharacteristic
114#19098454C2211yescharacteristic, complemented
115#19098454C2211yescharacteristic, complemented
116#19098454C2211yescharacteristic, complemented
117#19098453C2211yescharacteristic
118#19098453C2211yescharacteristic
119#19098453C2211yescharacteristic
120#19098453C2211yescharacteristic
121#19098453C2211yescharacteristic
122#19098453C2211yescharacteristic
123#19098453C2211yescharacteristic
124#19098453C2211yescharacteristic
125#19098453C2211yescharacteristic
126#19098453C2211yescharacteristic
127#19098453C2211yescharacteristic, complemented
128#19098452C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic, complemented
130#19098451C2211yescharacteristic, complemented
131#19098450C2211yescharacteristic, complemented
132#19098449C2211yescharacteristic, complemented
133#19098447C2211yescharacteristic, complemented
134#19098447C2211yescharacteristic, complemented
135#19098446C2211yescharacteristic, complemented
136#19098446C2211yescharacteristic, complemented
137#19098444C2211yescharacteristic, complemented
138#19098443C2211yescharacteristic
139#19098442C2211yescharacteristic
140#19098442C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098442C2211yescharacteristic, complemented
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic
149#19098440C2211yescharacteristic
150#19098440C2211yescharacteristic
151#19098440C2211yescharacteristic
152#19098440C2211yescharacteristic
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098438C2211yescharacteristic
156#19098435C2211yescharacteristic
157#19098435C2211yescharacteristic
158#19098434C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098431C2211yescharacteristic, complemented
161#19098430C2211yescharacteristic, complemented
162#19098427C2211yescharacteristic, complemented
163#19098426C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic
165#19098420C2211yescharacteristic, complemented
166#19098420C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic
173C2×C4×D4×C79C2211yescharacteristic
174C22×C4⋊C4×C79C2211yescharacteristic
175#389×C79C2211yescharacteristic, complemented
176#389×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#386×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic, complemented
185#381×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C2×#11929624—24no—
189C2×#11929624—42no—
190C2×#11929624—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
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579156—42no—
210#14579149—42no—
211#14579147—42no—
212#14579138—42no—
213#14579135—42no—
214#14579133—42no—
215#14579133—42no—
216#14579131—42no—
217#14579131—42no—
218#14579129—42no—
219#14579120—42no—
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×Dic79⋊C4C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×C22⋊Dic79C2311yescharacteristic
236C2×C22⋊Dic79C2311yescharacteristic
237C2×C22⋊Dic79C2311yescharacteristic
238C2×C22⋊Dic79C2311yescharacteristic
239C2×C22⋊Dic79C2311yescharacteristic
240C2×C22⋊Dic79C2311yescharacteristic
241C2×(C2×D79)⋊C4—24no—
242C2×(C2×D79)⋊C4—42no—
243C2×(C2×D79)⋊C4—42no—
244C2×(C2×D79)⋊C4C2311yescharacteristic
245C2×(C2×D79)⋊C4C2311yescharacteristic
246C2×(C2×D79)⋊C4C2311yescharacteristic
247C2×(C2×D79)⋊C4C2311yescharacteristic
248C2×(C2×D79)⋊C4C2311yescharacteristic
249C2×(C2×D79)⋊C4C2311yescharacteristic
250C2×(C2×D79)⋊C4C2311yescharacteristic
251C2×(C2×D79)⋊C4C2311yescharacteristic
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×C4×Dic79—42no—
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C79⋊#95C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C22×D4×C79C2311yescharacteristic
326C23×C4×C79C2311yescharacteristic
327C23×C4×C79C2311yescharacteristic
328C23×C4×C79C2311yescharacteristic
329C23×C4×C79C2311yescharacteristic
330#123×C79—24no—
331C4×D4×C79—42no—
332C2×C4⋊C4×C79—42no—
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C22⋊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×C42×C79C2311yescharacteristic
351C2×C42×C79C2311yescharacteristic
352C2×C42×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#11929624—416no—
375C2×Dic158—22no—
376C2×Dic158—22no—
377C2×Dic158—41no—
378C2×Dic158—41no—
379C2×Dic158—41no—
380C2×Dic158—41no—
381C2×D316—22no—
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—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C22×Dic79—22no—
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×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C4⋊Dic79—22no—
442C4⋊Dic79—41no—
443C4⋊Dic79—41no—
444C4⋊Dic79—41no—
445C4⋊Dic79—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—41no—
459C22⋊Dic79—41no—
460C22⋊Dic79—41no—
461C22⋊Dic79—41no—
462(C2×D79)⋊C4—22no—
463(C2×D79)⋊C4—22no—
464(C2×D79)⋊C4—22no—
465(C2×D79)⋊C4—22no—
466(C2×D79)⋊C4—22no—
467(C2×D79)⋊C4—22no—
468(C2×D79)⋊C4—22no—
469(C2×D79)⋊C4—41no—
470(C2×D79)⋊C4—41no—
471(C2×D79)⋊C4—41no—
472(C2×D79)⋊C4—41no—
473(C2×D79)⋊C4—41no—
474(C2×D79)⋊C4—41no—
475(C2×D79)⋊C4—41no—
476(C2×D79)⋊C4—41no—
477(C2×D79)⋊C4—41no—
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—
502C4×Dic79—22no—
503C4×Dic79—22no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C24×C79C2411yescharacteristic
509C24×C79C2411yescharacteristic
510C2×D4×C79—22no—
511C2×D4×C79—22no—
512C2×D4×C79—22no—
513C22×C4×C79—22no—
514C22×C4×C79—22no—
515C22×C4×C79—22no—
516C22×C4×C79—22no—
517C22×C4×C79—41no—
518C22×C4×C79—41no—
519C22×C4×C79—41no—
520C22×C4×C79—41no—
521C22×C4×C79—41no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79#4114yes—
525C22×C4×C79C2411yescharacteristic
526C22×C4×C79C2411yescharacteristic
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C4⋊C4×C79—22no—
539C4⋊C4×C79—22no—
540C4⋊C4×C79—41no—
541C4⋊C4×C79—41no—
542C4⋊C4×C79—41no—
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—22no—
551C22⋊C4×C79—22no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C42×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—28no—
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—44no—
648C2×C4×C79—82no—
649C2×C4×C79—82no—
650C2×C4×C79C2×#4112yes—
651C2×C4×C79C2×#4112yes—
652C22⋊D79—44no—
653C22⋊D79—44no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C22⋊D79—82no—
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—21no—
692C2×Dic79—21no—
693C2×Dic79—44no—
694C2×Dic79—44no—
695C2×Dic79—82no—
696C2×Dic79H(5,𝔽2)12yes—
697D316—44no—
698D316—82no—
699D316—82no—
700D316—82no—
701D316—82no—
702C4×D79—44no—
703C4×D79—44no—
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—22no—
757C4×C79—22no—
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—41no—
771Dic79—41no—
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#2510—791no—
816#2472—791no—
817#2444—791no—
818#2438—791no—
819#2430—791no—
820#2424—791no—
821#2411—791no—
822#2404—791no—
823#2322D7911yescharacteristic, complemented
824#2311—791no—
825C2×#388—791no—
826C79#3679511yescharacteristic, complemented, Sylow
827C22×#41—791no—
828C2×#126—791no—
829C2×#124—791no—
830C2×#124—791no—
831C2×#123C2×D7911yescharacteristic
832C2×C22⋊Q8—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#120—791no—
837C2×#120—791no—
838C2×#120—791no—
839C2×C4×D4C2×D7911yescharacteristic
840C2×#117—791no—
841C22×C4⋊C4C2×D7911yescharacteristic
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844C22×C22⋊C4—791no—
845C22×C42—791no—
846#401—791no—
847#400—791no—
848#400—791no—
849#400—791no—
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#397—791no—
862#397—791no—
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#389C2×D7911yescharacteristic, complemented
907#389C2×D7911yescharacteristic, complemented
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#387C2×D7911yescharacteristic, complemented
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#386—791no—
958#386—791no—
959#386C2×D7911yescharacteristic
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385C2×D7911yescharacteristic
966#385C2×D7911yescharacteristic, complemented
967#385C2×D7911yescharacteristic, complemented
968#383—791no—
969#383—791no—
970#382—791no—
971#381—791no—
972#381C2×D7911yescharacteristic
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#380—791no—
978#379—791no—
979C4×C22⋊C4C2×D7911yescharacteristic
980C2×#95—791no—
981C2×#95—791no—
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×C4C22×D7911yescharacteristic
1006C23×C4C22×D7911yescharacteristic
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#126—3162no—
1010#124—3162no—
1011#124—3162no—
1012#123—24no—
1013C22⋊Q8—3162no—
1014#121—3162no—
1015#121—3162no—
1016#121—3162no—
1017#120—3162no—
1018#120—3162no—
1019#120—3162no—
1020C4×D4—42no—
1021#117—3162no—
1022C2×C4⋊C4—42no—
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⋊C4C22×D7911yescharacteristic
1039C2×C4⋊C4C22×D7911yescharacteristic
1040C2×C4⋊C4C22×D7911yescharacteristic
1041C2×C4⋊C4C22×D7911yescharacteristic
1042C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
1095C2×C22⋊C4—1584no—
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×C42C22×D7911yescharacteristic
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#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
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—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
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—3161no—
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#1192962414yes—
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—22no—
1267C4⋊C4—22no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
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—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—3161no—
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—3161no—
1334C22⋊C4—3161no—
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—41no—
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—
1399C23C2×#1192962412yes—
1400C23#1457920612yes—
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—28no—
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—44no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—3164no—
1461C2×C4—3164no—
1462C2×C4—792no—
1463C2×C4—6322no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
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×C4C2×#1192962412yes—
1500C2×C4C2×#1192962412yes—
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#1909914614yes—
1544C22C22×#1192962411yescharacteristic
1545C22H(5,𝔽2)×D7911yescharacteristic
1546C22C2×#1457920611yescharacteristic
1547C22C2×#1457920711yescharacteristic
1548C22#1909939811yescharacteristic
1549C22#1909940011yescharacteristic
1550C22#1909940011yescharacteristic
1551C4—22no—
1552C4—22no—
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—3161no—
1574C4—3161no—
1575C4—1582no—
1576C2—24no—
1577C2—81no—
1578C2—6321no—
1579C2—6321no—
1580C2—6321no—
1581C2—6321no—
1582C2C2×#1909914611yescharacteristic
1583C2#2377711311yescharacteristic
1584C2#2377724511yescharacteristic
1585C2#2377759511yescharacteristic
1586C2#2377771111yescharacteristic
1587C2#2377775411yescharacteristic
1588C2#2377795711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2322C2
hypercenter#2322D79
hypocenterC79#36795
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. #23771717C2semidirect
2. #23771697C2semidirect
3. #23771378C2semidirect
4. #23771337C2semidirect
5. #23771327C2semidirect
6. #23771114C2semidirect
7. #23771060C2semidirect
8. #23771027C2semidirect
9. #23771012C2semidirect
10. #23770973C2semidirect
11. #23770764C2semidirect
12. #23770726C2semidirect
13. #23770719C2semidirect
14. #23770657C2semidirect
15. #23770427C2semidirect
16. #23770212C2semidirect
17. #23770197C2semidirect
18. #23769810C2semidirect
19. #23769178C2semidirect
20. #23769140C2semidirect
21. #23767954C2semidirect
22. #23767526C2semidirect
23. #23767144C2semidirect
24. #23767078C2semidirect
25. #23767012C2semidirect
26. #23766930C2semidirect
27. #23766786C2semidirect
28. #23766721C2semidirect
29. #23765993C2semidirect
30. C2×#19098453C2semidirect
31. C79×#2322C2semidirect
33. C2×#14579156C22semidirect
35. C2×#14579147C22semidirect
48. C79⋊#401C22semidirect
49. #19098505C22semidirect
50. #19098504C22semidirect
51. #19098501C22semidirect
52. #19098497C22semidirect
53. #19098495C22semidirect
58. #19098492C22semidirect
59. #19098492C22semidirect
60. #19098491C22semidirect
64. #19098489C22semidirect
68. #19098484C22semidirect
69. #19098483C22semidirect
79. #19098480C22semidirect
85. #19098478C22semidirect
89. #19098475C22semidirect
95. #19098472C22semidirect
96. #19098468C22semidirect
97. #19098468C22semidirect
98. #19098467C22semidirect
99. #19098467C22semidirect
102. #19098464C22semidirect
103. #19098464C22semidirect
106. #19098463C22semidirect
107. #19098460C22semidirect
108. #19098456C22semidirect
109. #19098455C22semidirect
110. #19098455C22semidirect
114. #19098454C22semidirect
115. #19098454C22semidirect
116. #19098454C22semidirect
127. #19098453C22semidirect
128. #19098452C22semidirect
129. #19098452C22semidirect
130. #19098451C22semidirect
131. #19098450C22semidirect
132. #19098449C22semidirect
133. #19098447C22semidirect
134. #19098447C22semidirect
135. #19098446C22semidirect
136. #19098446C22semidirect
137. #19098444C22semidirect
144. #19098442C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
158. #19098434C22semidirect
159. #19098434C22semidirect
160. #19098431C22semidirect
161. #19098430C22semidirect
162. #19098427C22semidirect
163. #19098426C22semidirect
165. #19098420C22semidirect
166. #19098420C22semidirect
167. #19098420C22semidirect
168. #19098420C22semidirect
175. #389×C79C22semidirect
176. #389×C79C22semidirect
177. #388×C79C22semidirect
178. #388×C79C22semidirect
179. #387×C79C22semidirect
180. #387×C79C22semidirect
183. #385×C79C22semidirect
184. #385×C79C22semidirect
823. #2322D79semidirect
826. C79#36795semidirect
906. #389C2×D79semidirect
907. #389C2×D79semidirect
931. #388C2×D79semidirect
932. #388C2×D79semidirect
940. #387C2×D79semidirect
941. #387C2×D79semidirect
966. #385C2×D79semidirect
967. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717172
#237716972
#237713782
#237713372
#237713272
#237711142
#237710602
#237710272
#237710122
#237709732
#237707642
#237707262
#237707192
#237706572
#237704272
#237702122
#237701972
#237698102
#237691782
#237691402
#237679542
#237675262
#237671442
#237670782
#237670122
#237669302
#237667862
#237667212
#237659932
C2×#190984532
C79×#23222
#3679579