Finite Group Databasebeta

← #34497195

Subgroups — #34497195

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#23771713C211yesmaximal, characteristic, complemented
2#23771697C211yesmaximal, characteristic, complemented
3#23771381C211yesmaximal, characteristic, complemented
4#23771338C211yesmaximal, characteristic, complemented
5#23771333C211yesmaximal, characteristic, complemented
6#23771111C211yesmaximal, characteristic, complemented
7#23771058C211yesmaximal, characteristic, complemented
8#23771040C211yesmaximal, characteristic, complemented
9#23771019C211yesmaximal, characteristic, complemented
10#23770980C211yesmaximal, characteristic, complemented
11#23770762C211yesmaximal, characteristic, complemented
12#23770729C211yesmaximal, characteristic, complemented
13#23770715C211yesmaximal, characteristic, complemented
14#23770649C211yesmaximal, characteristic, complemented
15#23770423C211yesmaximal, characteristic, complemented
16#23770210C211yesmaximal, characteristic, complemented
17#23770199C211yesmaximal, characteristic, complemented
18#23769806C211yesmaximal, characteristic, complemented
19#23769178C211yesmaximal, characteristic, complemented
20#23769136C211yesmaximal, characteristic, complemented
21#23767960C211yesmaximal, characteristic, complemented
22#23767528C211yesmaximal, characteristic, complemented
23#23767074C211yesmaximal, characteristic, complemented
24#23767006C211yesmaximal, characteristic, complemented
25#23766930C211yesmaximal, characteristic, complemented
26#23766788C211yesmaximal, characteristic, complemented
27#23766718C211yesmaximal, characteristic, complemented
28#23766065C211yesmaximal, characteristic, complemented
29#23765987C211yesmaximal, characteristic, complemented
30C2×#19098452C211yesmaximal, characteristic, complemented
31C79×#2444C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C2×#14579154C2211yescharacteristic, complemented
34C2×#14579147C2211yescharacteristic
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579142C2211yescharacteristic
37C2×#14579138C2211yescharacteristic
38C2×#14579135C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579131C2211yescharacteristic
41C2×#14579129C2211yescharacteristic
42C2×#14579129C2211yescharacteristic
43C2×#14579117C2211yescharacteristic
44C22×Dic79⋊C4C2211yescharacteristic
45C22×(C2×D79)⋊C4C2211yescharacteristic
46C22×(C2×D79)⋊C4C2211yescharacteristic
47C22×(C2×D79)⋊C4C2211yescharacteristic
48C22×C4×Dic79C2211yescharacteristic
49C79⋊#401C2211yescharacteristic, complemented
50#19098505C2211yescharacteristic, complemented
51#19098503C2211yescharacteristic, complemented
52#19098493C2211yescharacteristic, complemented
53#19098493C2211yescharacteristic, complemented
54#19098492C2211yescharacteristic
55#19098492C2211yescharacteristic
56#19098492C2211yescharacteristic
57#19098492C2211yescharacteristic, complemented
58#19098490C2211yescharacteristic, complemented
59#19098489C2211yescharacteristic
60#19098489C2211yescharacteristic
61#19098489C2211yescharacteristic
62#19098489C2211yescharacteristic
63#19098487C2211yescharacteristic
64#19098487C2211yescharacteristic
65#19098485C2211yescharacteristic
66#19098484C2211yescharacteristic, complemented
67#19098483C2211yescharacteristic, complemented
68#19098481C2211yescharacteristic
69#19098481C2211yescharacteristic
70#19098480C2211yescharacteristic
71#19098480C2211yescharacteristic
72#19098480C2211yescharacteristic
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic, complemented
83#19098476C2211yescharacteristic
84#19098476C2211yescharacteristic
85#19098476C2211yescharacteristic
86#19098475C2211yescharacteristic, complemented
87#19098472C2211yescharacteristic
88#19098472C2211yescharacteristic
89#19098472C2211yescharacteristic
90#19098471C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic, complemented
93#19098468C2211yescharacteristic, complemented
94#19098467C2211yescharacteristic, complemented
95#19098467C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098465C2211yescharacteristic
98#19098463C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic, complemented
102#19098463C2211yescharacteristic, complemented
103#19098463C2211yescharacteristic, complemented
104#19098462C2211yescharacteristic, complemented
105#19098458C2211yescharacteristic, complemented
106#19098458C2211yescharacteristic, complemented
107#19098457C2211yescharacteristic, complemented
108#19098457C2211yescharacteristic, complemented
109#19098457C2211yescharacteristic, complemented
110#19098456C2211yescharacteristic, complemented
111#19098456C2211yescharacteristic, complemented
112#19098455C2211yescharacteristic
113#19098455C2211yescharacteristic, complemented
114#19098455C2211yescharacteristic, complemented
115#19098454C2211yescharacteristic
116#19098452C2211yescharacteristic
117#19098452C2211yescharacteristic
118#19098452C2211yescharacteristic
119#19098452C2211yescharacteristic
120#19098452C2211yescharacteristic
121#19098452C2211yescharacteristic
122#19098452C2211yescharacteristic
123#19098452C2211yescharacteristic
124#19098452C2211yescharacteristic
125#19098452C2211yescharacteristic
126#19098452C2211yescharacteristic
127#19098452C2211yescharacteristic, complemented
128#19098452C2211yescharacteristic, complemented
129#19098451C2211yescharacteristic, complemented
130#19098451C2211yescharacteristic, complemented
131#19098450C2211yescharacteristic, complemented
132#19098448C2211yescharacteristic, complemented
133#19098448C2211yescharacteristic, complemented
134#19098448C2211yescharacteristic, complemented
135#19098447C2211yescharacteristic, complemented
136#19098447C2211yescharacteristic, complemented
137#19098446C2211yescharacteristic, complemented
138#19098445C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic
142#19098443C2211yescharacteristic, complemented
143#19098442C2211yescharacteristic
144#19098442C2211yescharacteristic
145#19098442C2211yescharacteristic
146#19098442C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic
149#19098440C2211yescharacteristic
150#19098440C2211yescharacteristic
151#19098440C2211yescharacteristic
152#19098439C2211yescharacteristic, complemented
153#19098438C2211yescharacteristic
154#19098436C2211yescharacteristic
155#19098436C2211yescharacteristic, complemented
156#19098436C2211yescharacteristic, complemented
157#19098435C2211yescharacteristic
158#19098435C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098430C2211yescharacteristic, complemented
161#19098430C2211yescharacteristic, complemented
162#19098427C2211yescharacteristic, complemented
163#19098424C2211yescharacteristic
164#19098423C2211yescharacteristic
165#19098422C2211yescharacteristic, complemented
166#19098422C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170C4×C22⋊Dic79C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#121×C79C2211yescharacteristic
173C2×C4×D4×C79C2211yescharacteristic
174#400×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#381×C79C2211yescharacteristic, complemented
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C2×#11929623—24no—
189C2×#11929623—42no—
190C2×#11929623—42no—
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207#14579154—42no—
208#14579147—42no—
209#14579147—42no—
210#14579142—24no—
211#14579138—42no—
212#14579135—42no—
213#14579133—42no—
214#14579131—42no—
215#14579129—42no—
216#14579129—42no—
217#14579117—42no—
218C2×C4⋊Dic79C2311yescharacteristic
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×Dic79⋊C4—42no—
224C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×C22⋊Dic79C2311yescharacteristic
240C2×C22⋊Dic79C2311yescharacteristic
241C2×C22⋊Dic79C2311yescharacteristic
242C2×C22⋊Dic79C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×(C2×D79)⋊C4—24no—
252C2×(C2×D79)⋊C4—42no—
253C2×(C2×D79)⋊C4—42no—
254C2×(C2×D79)⋊C4C2311yescharacteristic
255C2×(C2×D79)⋊C4C2311yescharacteristic
256C2×(C2×D79)⋊C4C2311yescharacteristic
257C2×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×C4×Dic79—42no—
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
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
325C79⋊#95C2311yescharacteristic
326C22×D4×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C23×C4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333#121×C79—42no—
334C4×D4×C79—42no—
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C42×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—22no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79—41no—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C23×D79C2411yescharacteristic
373#11929623—416no—
374C2×Dic158—22no—
375C2×Dic158—22no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×Dic158—41no—
379C2×Dic158—41no—
380C2×D316—41no—
381C2×D316—41no—
382C2×D316—41no—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316—41no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79#4114yes—
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C2×C4×D79—22no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C4⋊Dic79—22no—
436C4⋊Dic79—41no—
437C4⋊Dic79—41no—
438C4⋊Dic79—41no—
439C4⋊Dic79—41no—
440Dic79⋊C4—22no—
441Dic79⋊C4—22no—
442Dic79⋊C4—41no—
443Dic79⋊C4—41no—
444Dic79⋊C4—41no—
445Dic79⋊C4—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—
455C22⋊Dic79—22no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467(C2×D79)⋊C4—22no—
468(C2×D79)⋊C4—22no—
469(C2×D79)⋊C4—22no—
470(C2×D79)⋊C4—22no—
471(C2×D79)⋊C4—22no—
472(C2×D79)⋊C4—22no—
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—
498C4×Dic79—22no—
499C4×Dic79—22no—
500C4×Dic79—41no—
501C4×Dic79—41no—
502C4×Dic79—41no—
503C4×Dic79—41no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C24×C79C2411yescharacteristic
507C24×C79C2411yescharacteristic
508C24×C79C2411yescharacteristic
509C2×D4×C79—22no—
510C2×D4×C79—22no—
511C2×D4×C79—22no—
512C2×D4×C79—22no—
513C2×D4×C79—22no—
514C2×D4×C79—22no—
515C2×D4×C79—41no—
516C2×D4×C79—41no—
517C2×D4×C79—41no—
518C22×C4×C79—22no—
519C22×C4×C79—22no—
520C22×C4×C79—22no—
521C22×C4×C79—41no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79—41no—
527C22×C4×C79—41no—
528C22×C4×C79—41no—
529C22×C4×C79—41no—
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C4⋊C4×C79—41no—
543C4⋊C4×C79—41no—
544C4⋊C4×C79—41no—
545C4⋊C4×C79—41no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—22no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×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×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79C2×#4112yes—
577C23×C79H(5,𝔽2)12yes—
578C23×C79H(5,𝔽2)12yes—
579C23×C79C2511yescharacteristic
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—
609D4×C79—44no—
610D4×C79—82no—
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×C79—82no—
651C22⋊D79—44no—
652C22⋊D79—44no—
653C22⋊D79—82no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C22⋊D79—82no—
658C2×Dic79—28no—
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—21no—
694C2×Dic79—21no—
695C2×Dic79—44no—
696C2×Dic79—44no—
697C2×Dic79—44no—
698C2×Dic79C2×#4112yes—
699C2×Dic79C2×#4112yes—
700C2×Dic79H(5,𝔽2)12yes—
701D316—82no—
702D316—82no—
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—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79#53814yes—
727C22×C79C22×#4111yescharacteristic
728C22×C79C2×H(5,𝔽2)11yescharacteristic
729C22×C79C2×H(5,𝔽2)11yescharacteristic
730C22×C79C2×H(5,𝔽2)11yescharacteristic
731C22×C79#58511yescharacteristic
732C22×C79#58511yescharacteristic
733C22×C79#58511yescharacteristic
734C2×D79—41no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—41no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—88no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768Dic79—22no—
769Dic79—22no—
770Dic79—22no—
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×C79—81no—
785C2×C79C2×#53811yescharacteristic
786C2×C79#349311yescharacteristic
787C2×C79#350611yescharacteristic
788C2×C79#353411yescharacteristic
789C2×C79#354211yescharacteristic
790C2×C79#354511yescharacteristic
791C2×C79#356011yescharacteristic
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#2444D7911yescharacteristic, complemented
818#2438—791no—
819#2430—791no—
820#2424—791no—
821#2411—791no—
822#2404—791no—
823#2322—791no—
824#2311—791no—
825C2×#388—791no—
826C79#3679511yescharacteristic, complemented, Sylow
827C22×#41—791no—
828C2×#126—791no—
829C2×#124—791no—
830C2×#124—791no—
831C2×#123—791no—
832C2×C22⋊Q8—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121C2×D7911yescharacteristic
836C2×#120—791no—
837C2×#120—791no—
838C2×#120—791no—
839C2×C4×D4C2×D7911yescharacteristic
840C2×#117—791no—
841C22×C4⋊C4—791no—
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#400C2×D7911yescharacteristic, complemented
850#398—791no—
851#398—791no—
852#397—791no—
853#397—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397—791no—
859#397—791no—
860#397—791no—
861#397C2×D7911yescharacteristic, complemented
862#397C2×D7911yescharacteristic, complemented
863#396—791no—
864#396—791no—
865#396—791no—
866#395—791no—
867#395—791no—
868#394—791no—
869#394—791no—
870#394—791no—
871#394—791no—
872#394—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#394C2×D7911yescharacteristic, complemented
884#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#392—791no—
893#392—791no—
894#391—791no—
895#391—791no—
896#391—791no—
897#391—791no—
898#390—791no—
899#390—791no—
900#390—791no—
901#390—791no—
902#390—791no—
903#390—791no—
904#390—791no—
905#389—791no—
906#389—791no—
907#389—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388—791no—
922#388—791no—
923#388—791no—
924#388—791no—
925#388—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388C2×D7911yescharacteristic, complemented
933#387—791no—
934#387—791no—
935#387—791no—
936#387—791no—
937#387—791no—
938#387—791no—
939#387—791no—
940#387—791no—
941#387C2×D7911yescharacteristic, complemented
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386C2×D7911yescharacteristic
957#386C2×D7911yescharacteristic
958#386C2×D7911yescharacteristic
959#386C2×D7911yescharacteristic, complemented
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#385C2×D7911yescharacteristic
968#383—791no—
969#383—791no—
970#382—791no—
971#381—791no—
972#381C2×D7911yescharacteristic, complemented
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#380—791no—
978#379—791no—
979C4×C22⋊C4—791no—
980C2×#95—791no—
981C2×#95C2×D7911yescharacteristic
982C25—791no—
983C2×#41—3162no—
984C2×#41—3162no—
985C2×#41—1584no—
986C22×Q8—791no—
987C22×Q8—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4—791no—
995C22×D4—791no—
996C22×D4—791no—
997C22×D4C22×D7911yescharacteristic
998C22×D4C22×D7911yescharacteristic
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—1584no—
1013C22⋊Q8—3162no—
1014#121—42no—
1015#121—3162no—
1016#121—3162no—
1017#120—3162no—
1018#120—3162no—
1019#120—3162no—
1020C4×D4—42no—
1021#117—3162no—
1022C2×C4⋊C4—3162no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4C22×D7911yescharacteristic
1044C2×C4⋊C4C22×D7911yescharacteristic
1045C2×C4⋊C4C22×D7911yescharacteristic
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C22⋊C4—3162no—
1048C2×C22⋊C4—3162no—
1049C2×C22⋊C4—791no—
1050C2×C22⋊C4—791no—
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—1584no—
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C42—3162no—
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
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#95C22×D7911yescharacteristic
1147#95C22×D7911yescharacteristic
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—3161no—
1159C24—3161no—
1160C24—3161no—
1161C24—3161no—
1162C24—791no—
1163C24—791no—
1164C24—791no—
1165C24—1582no—
1166C24—1582no—
1167C24—1582no—
1168C24C23×D7911yescharacteristic
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—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
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—3161no—
1207C2×D4—3161no—
1208C2×D4—3161no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C2×D4—1582no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—794no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
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—1582no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C42—41no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—1582no—
1352C42—1582no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—3164no—
1372C23—3164no—
1373C23—3164no—
1374C23—6322no—
1375C23—6322no—
1376C23—6322no—
1377C23—6322no—
1378C23—1581no—
1379C23—1581no—
1380C23—1581no—
1381C23—1581no—
1382C23—1581no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23#41×D7912yes—
1400C23#1457920612yes—
1401C23#1457920712yes—
1402C23C24×D7911yescharacteristic
1403Q8—3164no—
1404Q8—6322no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—3164no—
1409D4—3164no—
1410D4—6322no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—44no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—3164no—
1461C2×C4—792no—
1462C2×C4—792no—
1463C2×C4—792no—
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×C4—1581no—
1500C2×C4—1588no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
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#1909914914yes—
1544C22C2×#41×D7911yescharacteristic
1545C22H(5,𝔽2)×D7911yescharacteristic
1546C22C2×#1457920611yescharacteristic
1547C22C2×#1457920711yescharacteristic
1548C22#1909939811yescharacteristic
1549C22#1909939911yescharacteristic
1550C22#1909939911yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—1582no—
1574C4—1582no—
1575C4—1582no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—6321no—
1580C2—6321no—
1581C2—6321no—
1582C2C2×#1909914911yescharacteristic
1583C2#2377711211yescharacteristic
1584C2#2377724711yescharacteristic
1585C2#2377757711yescharacteristic
1586C2#2377770111yescharacteristic
1587C2#2377774711yescharacteristic
1588C2#2377795111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2444C2
hypercenter#2444D79
hypocenterC79#36795
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #23771713C2semidirect
2. #23771697C2semidirect
3. #23771381C2semidirect
4. #23771338C2semidirect
5. #23771333C2semidirect
6. #23771111C2semidirect
7. #23771058C2semidirect
8. #23771040C2semidirect
9. #23771019C2semidirect
10. #23770980C2semidirect
11. #23770762C2semidirect
12. #23770729C2semidirect
13. #23770715C2semidirect
14. #23770649C2semidirect
15. #23770423C2semidirect
16. #23770210C2semidirect
17. #23770199C2semidirect
18. #23769806C2semidirect
19. #23769178C2semidirect
20. #23769136C2semidirect
21. #23767960C2semidirect
22. #23767528C2semidirect
23. #23767074C2semidirect
24. #23767006C2semidirect
25. #23766930C2semidirect
26. #23766788C2semidirect
27. #23766718C2semidirect
28. #23766065C2semidirect
29. #23765987C2semidirect
30. C2×#19098452C2semidirect
31. C79×#2444C2semidirect
33. C2×#14579154C22semidirect
35. C2×#14579147C22semidirect
49. C79⋊#401C22semidirect
50. #19098505C22semidirect
51. #19098503C22semidirect
52. #19098493C22semidirect
53. #19098493C22semidirect
57. #19098492C22semidirect
58. #19098490C22semidirect
66. #19098484C22semidirect
67. #19098483C22semidirect
82. #19098478C22semidirect
86. #19098475C22semidirect
92. #19098471C22semidirect
93. #19098468C22semidirect
94. #19098467C22semidirect
95. #19098467C22semidirect
96. #19098467C22semidirect
101. #19098463C22semidirect
102. #19098463C22semidirect
103. #19098463C22semidirect
104. #19098462C22semidirect
105. #19098458C22semidirect
106. #19098458C22semidirect
107. #19098457C22semidirect
108. #19098457C22semidirect
109. #19098457C22semidirect
110. #19098456C22semidirect
111. #19098456C22semidirect
113. #19098455C22semidirect
114. #19098455C22semidirect
127. #19098452C22semidirect
128. #19098452C22semidirect
129. #19098451C22semidirect
130. #19098451C22semidirect
131. #19098450C22semidirect
132. #19098448C22semidirect
133. #19098448C22semidirect
134. #19098448C22semidirect
135. #19098447C22semidirect
136. #19098447C22semidirect
137. #19098446C22semidirect
138. #19098445C22semidirect
142. #19098443C22semidirect
152. #19098439C22semidirect
155. #19098436C22semidirect
156. #19098436C22semidirect
158. #19098435C22semidirect
159. #19098434C22semidirect
160. #19098430C22semidirect
161. #19098430C22semidirect
162. #19098427C22semidirect
165. #19098422C22semidirect
166. #19098422C22semidirect
167. #19098421C22semidirect
168. #19098421C22semidirect
174. #400×C79C22semidirect
175. #397×C79C22semidirect
176. #397×C79C22semidirect
177. #394×C79C22semidirect
178. #388×C79C22semidirect
179. #387×C79C22semidirect
183. #386×C79C22semidirect
185. #381×C79C22semidirect
817. #2444D79semidirect
826. C79#36795semidirect
849. #400C2×D79semidirect
861. #397C2×D79semidirect
862. #397C2×D79semidirect
883. #394C2×D79semidirect
932. #388C2×D79semidirect
941. #387C2×D79semidirect
959. #386C2×D79semidirect
972. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717132
#237716972
#237713812
#237713382
#237713332
#237711112
#237710582
#237710402
#237710192
#237709802
#237707622
#237707292
#237707152
#237706492
#237704232
#237702102
#237701992
#237698062
#237691782
#237691362
#237679602
#237675282
#237670742
#237670062
#237669302
#237667882
#237667182
#237660652
#237659872
C2×#190984522
C79×#24442
#3679579