Finite Group Databasebeta

← #34495875

Subgroups — #34495875

Order 20224.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771688C211yesmaximal, characteristic, complemented
2#23771686C211yesmaximal, characteristic, complemented
3#23771344C211yesmaximal, characteristic, complemented
4#23771103C211yesmaximal, characteristic, complemented
5#23771100C211yesmaximal, characteristic, complemented
6#23771054C211yesmaximal, characteristic, complemented
7#23771051C211yesmaximal, characteristic, complemented
8#23771047C211yesmaximal, characteristic, complemented
9#23771042C211yesmaximal, characteristic, complemented
10#23770608C211yesmaximal, characteristic, complemented
11#23770608C211yesmaximal, characteristic, complemented
12#23770421C211yesmaximal, characteristic, complemented
13#23770421C211yesmaximal, characteristic, complemented
14#23769903C211yesmaximal, characteristic, complemented
15#23769898C211yesmaximal, characteristic, complemented
16#23769894C211yesmaximal, characteristic, complemented
17#23769891C211yesmaximal, characteristic, complemented
18#23769771C211yesmaximal, characteristic, complemented
19#23769211C211yesmaximal, characteristic, complemented
20#23769207C211yesmaximal, characteristic, complemented
21#23767078C211yesmaximal, characteristic, complemented
22#23767076C211yesmaximal, characteristic, complemented
23#23767070C211yesmaximal, characteristic, complemented
24#23767068C211yesmaximal, characteristic, complemented
25#23767065C211yesmaximal, characteristic, complemented
26#23767064C211yesmaximal, characteristic, complemented
27#23767063C211yesmaximal, characteristic, complemented
28#23765980C211yesmaximal, characteristic
29#23765977C211yesmaximal, characteristic
30C2×#19098441C211yesmaximal, characteristic
31C79×#2438C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579141C2211yescharacteristic, complemented
35C2×#14579141C2211yescharacteristic, complemented
36C2×#14579141C2211yescharacteristic, complemented
37C2×#14579140C2211yescharacteristic
38C2×#14579139C2211yescharacteristic, complemented
39C2×#14579139C2211yescharacteristic, complemented
40C2×#14579139C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579138C2211yescharacteristic
43C2×#14579138C2211yescharacteristic
44C2×#14579137C2211yescharacteristic, complemented
45C2×#14579120C2211yescharacteristic
46C22×(C2×D79)⋊C4C2211yescharacteristic
47C22×(C2×D79)⋊C4C2211yescharacteristic
48C22×(C2×D79)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D79C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51#19098505C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098502C2211yescharacteristic, complemented
54#19098500C2211yescharacteristic, complemented
55#19098498C2211yescharacteristic, complemented
56#19098498C2211yescharacteristic, complemented
57#19098498C2211yescharacteristic, complemented
58#19098498C2211yescharacteristic, complemented
59#19098498C2211yescharacteristic, complemented
60#19098498C2211yescharacteristic, complemented
61#19098498C2211yescharacteristic, complemented
62#19098497C2211yescharacteristic, complemented
63#19098497C2211yescharacteristic, complemented
64#19098496C2211yescharacteristic, complemented
65#19098496C2211yescharacteristic, complemented
66#19098495C2211yescharacteristic, complemented
67#19098495C2211yescharacteristic, complemented
68#19098487C2211yescharacteristic, complemented
69#19098487C2211yescharacteristic, complemented
70#19098487C2211yescharacteristic, complemented
71#19098487C2211yescharacteristic, complemented
72#19098485C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098485C2211yescharacteristic, complemented
75#19098485C2211yescharacteristic, complemented
76#19098485C2211yescharacteristic, complemented
77#19098485C2211yescharacteristic, complemented
78#19098485C2211yescharacteristic, complemented
79#19098485C2211yescharacteristic, complemented
80#19098485C2211yescharacteristic, complemented
81#19098485C2211yescharacteristic, complemented
82#19098485C2211yescharacteristic, complemented
83#19098485C2211yescharacteristic, complemented
84#19098484C2211yescharacteristic, complemented
85#19098484C2211yescharacteristic, complemented
86#19098483C2211yescharacteristic, complemented
87#19098476C2211yescharacteristic, complemented
88#19098476C2211yescharacteristic, complemented
89#19098476C2211yescharacteristic, complemented
90#19098476C2211yescharacteristic, complemented
91#19098476C2211yescharacteristic, complemented
92#19098474C2211yescharacteristic, complemented
93#19098474C2211yescharacteristic, complemented
94#19098474C2211yescharacteristic, complemented
95#19098469C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098467C2211yescharacteristic, complemented
98#19098465C2211yescharacteristic
99#19098465C2211yescharacteristic
100#19098465C2211yescharacteristic
101#19098465C2211yescharacteristic
102#19098464C2211yescharacteristic
103#19098464C2211yescharacteristic
104#19098464C2211yescharacteristic
105#19098464C2211yescharacteristic
106#19098461C2211yescharacteristic, complemented
107#19098460C2211yescharacteristic, complemented
108#19098460C2211yescharacteristic, complemented
109#19098450C2211yescharacteristic, complemented
110#19098450C2211yescharacteristic, complemented
111#19098447C2211yescharacteristic, complemented
112#19098447C2211yescharacteristic, complemented
113#19098446C2211yescharacteristic, complemented
114#19098446C2211yescharacteristic, complemented
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098441C2211yescharacteristic
119#19098441C2211yescharacteristic
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098438C2211yescharacteristic
132#19098438C2211yescharacteristic
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#19098437C2211yescharacteristic, complemented
142#19098437C2211yescharacteristic, complemented
143#19098436C2211yescharacteristic
144#19098436C2211yescharacteristic
145#19098435C2211yescharacteristic
146#19098435C2211yescharacteristic
147#19098434C2211yescharacteristic, complemented
148#19098434C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098426C2211yescharacteristic
154#19098423C2211yescharacteristic
155#19098422C2211yescharacteristic, complemented
156#19098422C2211yescharacteristic, complemented
157#19098422C2211yescharacteristic, complemented
158#19098422C2211yescharacteristic, complemented
159#19098421C2211yescharacteristic
160#19098421C2211yescharacteristic
161#19098420C2211yescharacteristic, complemented
162#19098420C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C79C2211yescharacteristic
173C2×#117×C79C2211yescharacteristic
174#400×C79C2211yescharacteristic, complemented
175#398×C79C2211yescharacteristic, complemented
176#398×C79C2211yescharacteristic, complemented
177#395×C79C2211yescharacteristic, complemented
178#391×C79C2211yescharacteristic, complemented
179#389×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#385×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#381×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316—42no—
193C22×D316—42no—
194C22×D316Q818yescomplemented
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79—42no—
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579141—42no—
213#14579141—42no—
214#14579141—42no—
215#14579140—42no—
216#14579139—42no—
217#14579139—42no—
218#14579139—42no—
219#14579139—42no—
220#14579138—42no—
221#14579138—42no—
222#14579137—42no—
223#14579120—42no—
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×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×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×(C2×D79)⋊C4—42no—
258C2×(C2×D79)⋊C4—42no—
259C2×(C2×D79)⋊C4—42no—
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(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
300C22⋊C4×D79—42no—
301C22⋊C4×D79—42no—
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C22×Q8×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C22⋊Q8×C79—42no—
335#117×C79—42no—
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×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×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
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367C23×D79—22no—
368C23×D79—22no—
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79—41no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79C2×Q814yes—
380C23×D79C2×Q814yes—
381C23×D79C2411yescharacteristic
382C23×D79C2411yescharacteristic
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C2×Dic158—22no—
386C2×Dic158—22no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×Dic158—41no—
391C2×Dic158—41no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×D316—416no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316C2×Q814yes—
404C2×D316C2×Q814yes—
405C2×D316C2×Q814yes—
406C2×D316C2×Q814yes—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
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—416no—
450C4⋊Dic79—22no—
451C4⋊Dic79—22no—
452C4⋊Dic79—41no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
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—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C24×C79C2411yescharacteristic
526C2×Q8×C79—41no—
527C2×Q8×C79—41no—
528C2×Q8×C79—41no—
529C22×C4×C79—22no—
530C22×C4×C79—22no—
531C22×C4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79C2×Q814yes—
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C4⋊C4×C79—22no—
553C4⋊C4×C79—22no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C42×C79—41no—
568C42×C79—41no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79C22×Q812yes—
574C23×C79H(5,𝔽2)12yes—
575C23×C79H(5,𝔽2)12yes—
576C23×C79C2511yescharacteristic
577C22×D79—28no—
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—21no—
602C22×D79—28no—
603C22×D79—44no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79—44no—
607C22×D79—44no—
608C22×D79—44no—
609C22×D79—44no—
610C22×D79—44no—
611C22×D79—82no—
612C22×D79—82no—
613C22×D79—82no—
614C22×D79—82no—
615C22×D79C22×Q812yes—
616C22×D79C22×Q812yes—
617C22×D79C22×Q812yes—
618C22×D79C22×Q812yes—
619Q8×C79—82no—
620C2×C4×C79—28no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—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—44no—
661C2×C4×C79—82no—
662C2×C4×C79C22×Q812yes—
663C2×C4×C79C22×Q812yes—
664C2×C4×C79H(5,𝔽2)12yes—
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—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—44no—
701C2×Dic79—82no—
702C2×Dic79H(5,𝔽2)12yes—
703D316—44no—
704D316—44no—
705D316—44no—
706D316—44no—
707C4×D79—44no—
708C4×D79—44no—
709C4×D79—44no—
710C4×D79—44no—
711C4×D79—82no—
712C4×D79—82no—
713C4×D79—82no—
714C4×D79—82no—
715Dic158—82no—
716Dic158—82no—
717Dic158—82no—
718C22×C79—22no—
719C22×C79—22no—
720C22×C79—22no—
721C22×C79—22no—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79#54314yes—
725C22×C79C23×Q811yescharacteristic
726C22×C79C2×H(5,𝔽2)11yescharacteristic
727C22×C79C2×H(5,𝔽2)11yescharacteristic
728C22×C79C2×H(5,𝔽2)11yescharacteristic
729C22×C79C2×H(5,𝔽2)11yescharacteristic
730C22×C79#58511yescharacteristic
731C22×C79#58511yescharacteristic
732C2×D79—22no—
733C2×D79—22no—
734C2×D79—22no—
735C2×D79—22no—
736C2×D79—22no—
737C2×D79—22no—
738C2×D79—22no—
739C2×D79—22no—
740C2×D79—22no—
741C2×D79—22no—
742C2×D79—22no—
743C2×D79—22no—
744C2×D79—416no—
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—41no—
756C2×D79—41no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—88no—
762C4×C79—22no—
763C4×C79—22no—
764C4×C79—22no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79—41no—
772C4×C79—41no—
773C4×C79—41no—
774C4×C79—41no—
775C4×C79—41no—
776Dic79—22no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783Dic79—41no—
784Dic79—41no—
785Dic79—41no—
786Dic79—41no—
787Dic79—41no—
788#36747—791nomaximal, Sylow
789C2×C79—24no—
790C2×C79C2×#54311yescharacteristic
791C2×C79#350111yescharacteristic
792C2×C79#350111yescharacteristic
793C2×C79#353211yescharacteristic
794C2×C79#353311yescharacteristic
795C2×C79#354211yescharacteristic
796C2×C79#354211yescharacteristic
797D79—42no—
798D79—42no—
799D79—42no—
800D79—42no—
801#2848—791no—
802#2848—791no—
803#2804—791no—
804#2784—791no—
805#2784—791no—
806#2780—791no—
807#2780—791no—
808#2780—791no—
809#2780—791no—
810#2748—791no—
811#2748—791no—
812#2732—791no—
813#2732—791no—
814#2692—791no—
815#2692—791no—
816#2692—791no—
817#2692—791no—
818#2683—791no—
819#2626—791no—
820#2626—791no—
821#2438—791no—
822#2438—791no—
823#2438—791no—
824#2438D7911yescharacteristic, complemented
825#2437—791no—
826#2437—791no—
827#2437—791no—
828#2437—791no—
829#2309—791no—
830#2308—791no—
831C2×#386—791no—
832C79#3674711yescharacteristic, complemented, Sylow
833C23×D4—791no—
834C24×C4—791no—
835C2×C22⋊Q8—791no—
836C2×C22⋊Q8—791no—
837C2×C22⋊Q8—791no—
838C2×C22⋊Q8—791no—
839C2×C22⋊Q8—791no—
840C2×C22⋊Q8—791no—
841C2×C22⋊Q8—791no—
842C2×C22⋊Q8—791no—
843C2×C22⋊Q8—791no—
844C2×C22⋊Q8—791no—
845C2×C22⋊Q8—791no—
846C2×C22⋊Q8C2×D7911yescharacteristic
847C2×#117—791no—
848C2×#117C2×D7911yescharacteristic
849C22×C22⋊C4—791no—
850C22×C22⋊C4—791no—
851C22×C22⋊C4—791no—
852C22×C22⋊C4—791no—
853C22×C22⋊C4—791no—
854#400—791no—
855#400—791no—
856#400—791no—
857#400C2×D7911yescharacteristic, complemented
858#399—791no—
859#399—791no—
860#399—791no—
861#399—791no—
862#399—791no—
863#399—791no—
864#399—791no—
865#399—791no—
866#398—791no—
867#398—791no—
868#398—791no—
869#398—791no—
870#398—791no—
871#398—791no—
872#398C2×D7911yescharacteristic, complemented
873#398C2×D7911yescharacteristic, complemented
874#396—791no—
875#396—791no—
876#396—791no—
877#396—791no—
878#396—791no—
879#396—791no—
880#396—791no—
881#396—791no—
882#396—791no—
883#396—791no—
884#396—791no—
885#396—791no—
886#396—791no—
887#396—791no—
888#396—791no—
889#396—791no—
890#395—791no—
891#395—791no—
892#395—791no—
893#395C2×D7911yescharacteristic, complemented
894#393—791no—
895#393—791no—
896#393—791no—
897#393—791no—
898#393—791no—
899#393—791no—
900#393—791no—
901#393—791no—
902#391—791no—
903#391—791no—
904#391—791no—
905#391C2×D7911yescharacteristic, complemented
906#390—791no—
907#390—791no—
908#390—791no—
909#390—791no—
910#390—791no—
911#390—791no—
912#390—791no—
913#390—791no—
914#389—791no—
915#389—791no—
916#389—791no—
917#389C2×D7911yescharacteristic, complemented
918#387—791no—
919#387—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387C2×D7911yescharacteristic, complemented
925#387C2×D7911yescharacteristic, complemented
926#386—791no—
927#386—791no—
928#386—791no—
929#386—791no—
930#386—791no—
931#386—791no—
932#386—791no—
933#386—791no—
934#386—791no—
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#385—791no—
943#385—791no—
944#385—791no—
945#385—791no—
946#385—791no—
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#385—791no—
959#385—791no—
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385C2×D7911yescharacteristic
965#385C2×D7911yescharacteristic
966#381—791no—
967#381C2×D7911yescharacteristic
968#380—791no—
969#380—791no—
970#380—791no—
971#380—791no—
972#380—791no—
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#380—791no—
978#380—791no—
979#380C2×D7911yescharacteristic
980#379—791no—
981#379—791no—
982#379—791no—
983#379—791no—
984#379—791no—
985#379—791no—
986C2×#95—791no—
987C2×#95C2×D7911yescharacteristic
988C25—791no—
989C25—791no—
990C22×Q8—791no—
991C22×Q8—791no—
992C22×Q8—791no—
993C22×Q8C22×D7911yescharacteristic
994C22×D4—3162no—
995C22×D4—3162no—
996C22×D4—798no—
997C22×D4—791no—
998C22×D4—791no—
999C22×D4—791no—
1000C22×D4—791no—
1001C23×C4—3162no—
1002C23×C4—3162no—
1003C23×C4—3162no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4—791no—
1008C23×C4—791no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4—791no—
1012C23×C4—791no—
1013C23×C4—791no—
1014C23×C4C22×D7911yescharacteristic
1015C23×C4C22×D7911yescharacteristic
1016C23×C4C22×D7911yescharacteristic
1017C22⋊Q8—42no—
1018C22⋊Q8—3162no—
1019C22⋊Q8—3162no—
1020C22⋊Q8—3162no—
1021C22⋊Q8—3162no—
1022C22⋊Q8—3162no—
1023C22⋊Q8—3162no—
1024C22⋊Q8—3162no—
1025C22⋊Q8—3162no—
1026C22⋊Q8—3162no—
1027C22⋊Q8—3162no—
1028C22⋊Q8—3162no—
1029#117—42no—
1030#117—3162no—
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⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1061C2×C4⋊C4C22×D7911yescharacteristic
1062C2×C4⋊C4C22×D7911yescharacteristic
1063C2×C4⋊C4C22×D7911yescharacteristic
1064C2×C4⋊C4C22×D7911yescharacteristic
1065C2×C4⋊C4C22×D7911yescharacteristic
1066C2×C4⋊C4C22×D7911yescharacteristic
1067C2×C4⋊C4C22×D7911yescharacteristic
1068C2×C4⋊C4C22×D7911yescharacteristic
1069C2×C4⋊C4C22×D7911yescharacteristic
1070C2×C4⋊C4C22×D7911yescharacteristic
1071C2×C22⋊C4—3162no—
1072C2×C22⋊C4—3162no—
1073C2×C22⋊C4—3162no—
1074C2×C22⋊C4—3162no—
1075C2×C22⋊C4—3162no—
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—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⋊C4C22×D7911yescharacteristic
1121C2×C22⋊C4C22×D7911yescharacteristic
1122C2×C22⋊C4C22×D7911yescharacteristic
1123C2×C22⋊C4C22×D7911yescharacteristic
1124C2×C42—791no—
1125C2×C42—791no—
1126C2×C42C22×D7911yescharacteristic
1127C2×C42C22×D7911yescharacteristic
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#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158#95C22×D7911yescharacteristic
1159#95C22×D7911yescharacteristic
1160#95C22×D7911yescharacteristic
1161#95C22×D7911yescharacteristic
1162#95C22×D7911yescharacteristic
1163#95C22×D7911yescharacteristic
1164#95C22×D7911yescharacteristic
1165#95C22×D7911yescharacteristic
1166#95C22×D7911yescharacteristic
1167#95C22×D7911yescharacteristic
1168C24—3161no—
1169C24—3161no—
1170C24—3161no—
1171C24—3161no—
1172C24—3161no—
1173C24—3161no—
1174C24—3161no—
1175C24—3161no—
1176C24—794no—
1177C24—794no—
1178C24—791no—
1179C24—791no—
1180C24—791no—
1181C24—791no—
1182C24—1582no—
1183C24—1582no—
1184C24—1582no—
1185C24—1582no—
1186C24C23×D7911yescharacteristic
1187C2×Q8—41no—
1188C2×Q8—41no—
1189C2×Q8—41no—
1190C2×Q8—3161no—
1191C2×Q8—3161no—
1192C2×Q8—3161no—
1193C2×Q8—3161no—
1194C2×Q8—3161no—
1195C2×Q8—3161no—
1196C2×Q8—3161no—
1197C2×Q8—1582no—
1198C2×Q8—1582no—
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—31616no—
1208C2×D4—794no—
1209C2×D4—794no—
1210C2×D4—794no—
1211C2×D4—794no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—3161no—
1234C22×C4—3161no—
1235C22×C4—3161no—
1236C22×C4—3161no—
1237C22×C4—3161no—
1238C22×C4—3161no—
1239C22×C4—3161no—
1240C22×C4—31616no—
1241C22×C4—3161no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—791no—
1248C22×C4—791no—
1249C22×C4—791no—
1250C22×C4—791no—
1251C22×C4—791no—
1252C22×C4—791no—
1253C22×C4—791no—
1254C22×C4—791no—
1255C22×C4—791no—
1256C22×C4—1582no—
1257C22×C4—1582no—
1258C22×C4—1582no—
1259C22×C4—1582no—
1260C22×C4—1582no—
1261C22×C4—1582no—
1262C22×C4—1582no—
1263C22×C4Q8×D7914yes—
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7911yescharacteristic
1273C22×C4C23×D7911yescharacteristic
1274C22×C4C23×D7911yescharacteristic
1275C22×C4C23×D7911yescharacteristic
1276C22×C4C23×D7911yescharacteristic
1277C22×C4C23×D7911yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—3161no—
1290C4⋊C4—3161no—
1291C4⋊C4—3161no—
1292C4⋊C4—3161no—
1293C4⋊C4—3161no—
1294C4⋊C4—3161no—
1295C4⋊C4—3161no—
1296C4⋊C4—3161no—
1297C4⋊C4—3161no—
1298C4⋊C4—3161no—
1299C4⋊C4—3161no—
1300C4⋊C4—3161no—
1301C4⋊C4—3161no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—1582no—
1315C4⋊C4—1582no—
1316C4⋊C4—1582no—
1317C4⋊C4—1582no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
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—3161no—
1336C22⋊C4—3161no—
1337C22⋊C4—3161no—
1338C22⋊C4—3161no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
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—1582no—
1359C22⋊C4—1582no—
1360C22⋊C4—1582no—
1361C22⋊C4—1582no—
1362C22⋊C4—1582no—
1363C22⋊C4—1582no—
1364C22⋊C4—1582no—
1365C22⋊C4—1582no—
1366C42—41no—
1367C42—41no—
1368C42—3161no—
1369C42—3161no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—3164no—
1375C23—3164no—
1376C23—3164no—
1377C23—3164no—
1378C23—3164no—
1379C23—3164no—
1380C23—3164no—
1381C23—3164no—
1382C23—792no—
1383C23—792no—
1384C23—792no—
1385C23—792no—
1386C23—6322no—
1387C23—6322no—
1388C23—6322no—
1389C23—6322no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23—1581no—
1404C23—1581no—
1405C23—1581no—
1406C23—1581no—
1407C23—1581no—
1408C23—1581no—
1409C23—1581no—
1410C23—1581no—
1411C23—1581no—
1412C23—1581no—
1413C23—1581no—
1414C23—1588no—
1415C23—1588no—
1416C23C2×Q8×D7912yes—
1417C23#1457920612yes—
1418C23#1457920712yes—
1419C23C24×D7911yescharacteristic
1420Q8—82no—
1421Q8—6322no—
1422Q8—6322no—
1423Q8—6322no—
1424D4—3164no—
1425D4—3164no—
1426D4—3164no—
1427D4—3164no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—28no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1469C2×C4—82no—
1470C2×C4—3164no—
1471C2×C4—3164no—
1472C2×C4—3164no—
1473C2×C4—3164no—
1474C2×C4—3164no—
1475C2×C4—792no—
1476C2×C4—6322no—
1477C2×C4—6322no—
1478C2×C4—6322no—
1479C2×C4—6322no—
1480C2×C4—6322no—
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—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4C2×Q8×D7912yes—
1517C2×C4C2×Q8×D7912yes—
1518C2×C4#1457920712yes—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—31616no—
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—1582no—
1544C22—1582no—
1545C22—1582no—
1546C22—1582no—
1547C22—1582no—
1548C22—1582no—
1549C22—1582no—
1550C22—1582no—
1551C22—1582no—
1552C22—1582no—
1553C22—1582no—
1554C22—1582no—
1555C22#1909918814yes—
1556C22C22×Q8×D7911yescharacteristic
1557C22H(5,𝔽2)×D7911yescharacteristic
1558C22C2×#1457920611yescharacteristic
1559C22C2×#1457920711yescharacteristic
1560C22C2×#1457920711yescharacteristic
1561C22#1909939911yescharacteristic
1562C22#1909940011yescharacteristic
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—3161no—
1578C4—3161no—
1579C4—3161no—
1580C4—3161no—
1581C4—3161no—
1582C4—3161no—
1583C4—3161no—
1584C4—3161no—
1585C4—3161no—
1586C4—3161no—
1587C4—3161no—
1588C4—1582no—
1589C2—24no—
1590C2—3162no—
1591C2—3162no—
1592C2—3162no—
1593C2—3162no—
1594C2C2×#1909918811yescharacteristic
1595C2#2377720111yescharacteristic
1596C2#2377720211yescharacteristic
1597C2#2377755611yescharacteristic
1598C2#2377756611yescharacteristic
1599C2#2377770111yescharacteristic
1600C2#2377771711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2438C2
prime radicalC23×D316C22
hypercenter#2438D79
hypocenterC79#36747
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. #23771688C2semidirect
2. #23771686C2semidirect
3. #23771344C2semidirect
4. #23771103C2semidirect
5. #23771100C2semidirect
6. #23771054C2semidirect
7. #23771051C2semidirect
8. #23771047C2semidirect
9. #23771042C2semidirect
10. #23770608C2semidirect
11. #23770608C2semidirect
12. #23770421C2semidirect
13. #23770421C2semidirect
14. #23769903C2semidirect
15. #23769898C2semidirect
16. #23769894C2semidirect
17. #23769891C2semidirect
18. #23769771C2semidirect
19. #23769211C2semidirect
20. #23769207C2semidirect
21. #23767078C2semidirect
22. #23767076C2semidirect
23. #23767070C2semidirect
24. #23767068C2semidirect
25. #23767065C2semidirect
26. #23767064C2semidirect
27. #23767063C2semidirect
31. C79×#2438C2semidirect
34. C2×#14579141C22semidirect
35. C2×#14579141C22semidirect
36. C2×#14579141C22semidirect
38. C2×#14579139C22semidirect
39. C2×#14579139C22semidirect
40. C2×#14579139C22semidirect
41. C2×#14579139C22semidirect
44. C2×#14579137C22semidirect
51. #19098505C22semidirect
52. #19098505C22semidirect
53. #19098502C22semidirect
54. #19098500C22semidirect
55. #19098498C22semidirect
56. #19098498C22semidirect
57. #19098498C22semidirect
58. #19098498C22semidirect
59. #19098498C22semidirect
60. #19098498C22semidirect
61. #19098498C22semidirect
62. #19098497C22semidirect
63. #19098497C22semidirect
64. #19098496C22semidirect
65. #19098496C22semidirect
66. #19098495C22semidirect
67. #19098495C22semidirect
68. #19098487C22semidirect
69. #19098487C22semidirect
70. #19098487C22semidirect
71. #19098487C22semidirect
72. #19098485C22semidirect
73. #19098485C22semidirect
74. #19098485C22semidirect
75. #19098485C22semidirect
76. #19098485C22semidirect
77. #19098485C22semidirect
78. #19098485C22semidirect
79. #19098485C22semidirect
80. #19098485C22semidirect
81. #19098485C22semidirect
82. #19098485C22semidirect
83. #19098485C22semidirect
84. #19098484C22semidirect
85. #19098484C22semidirect
86. #19098483C22semidirect
87. #19098476C22semidirect
88. #19098476C22semidirect
89. #19098476C22semidirect
90. #19098476C22semidirect
91. #19098476C22semidirect
92. #19098474C22semidirect
93. #19098474C22semidirect
94. #19098474C22semidirect
95. #19098469C22semidirect
96. #19098467C22semidirect
97. #19098467C22semidirect
106. #19098461C22semidirect
107. #19098460C22semidirect
108. #19098460C22semidirect
109. #19098450C22semidirect
110. #19098450C22semidirect
111. #19098447C22semidirect
112. #19098447C22semidirect
113. #19098446C22semidirect
114. #19098446C22semidirect
133. #19098437C22semidirect
134. #19098437C22semidirect
135. #19098437C22semidirect
136. #19098437C22semidirect
137. #19098437C22semidirect
138. #19098437C22semidirect
139. #19098437C22semidirect
140. #19098437C22semidirect
141. #19098437C22semidirect
142. #19098437C22semidirect
147. #19098434C22semidirect
148. #19098434C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098434C22semidirect
155. #19098422C22semidirect
156. #19098422C22semidirect
157. #19098422C22semidirect
158. #19098422C22semidirect
161. #19098420C22semidirect
162. #19098420C22semidirect
163. #19098420C22semidirect
164. #19098420C22semidirect
174. #400×C79C22semidirect
175. #398×C79C22semidirect
176. #398×C79C22semidirect
177. #395×C79C22semidirect
178. #391×C79C22semidirect
179. #389×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
194. C22×D316Q8semidirect
824. #2438D79semidirect
832. C79#36747semidirect
857. #400C2×D79semidirect
872. #398C2×D79semidirect
873. #398C2×D79semidirect
893. #395C2×D79semidirect
905. #391C2×D79semidirect
917. #389C2×D79semidirect
924. #387C2×D79semidirect
925. #387C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716882
#237716862
#237713442
#237711032
#237711002
#237710542
#237710512
#237710472
#237710422
#237706082
#237704212
#237699032
#237698982
#237698942
#237698912
#237697712
#237692112
#237692072
#237670782
#237670762
#237670702
#237670682
#237670652
#237670642
#237670632
#237659802
#237659772
C2×#190984412
C79×#24382
#3674779