Finite Group Databasebeta

← #34495441

Subgroups — #34495441

Order 20224.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771686C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic
3#23770605C211yesmaximal, characteristic, complemented
4#23770597C211yesmaximal, characteristic, complemented
5#23770528C211yesmaximal, characteristic, complemented
6#23770524C211yesmaximal, characteristic, complemented
7#23770522C211yesmaximal, characteristic, complemented
8#23770518C211yesmaximal, characteristic, complemented
9#23770241C211yesmaximal, characteristic, complemented
10#23770240C211yesmaximal, characteristic, complemented
11#23770030C211yesmaximal, characteristic, complemented
12#23770022C211yesmaximal, characteristic, complemented
13#23769902C211yesmaximal, characteristic, complemented
14#23769894C211yesmaximal, characteristic, complemented
15#23769883C211yesmaximal, characteristic, complemented
16#23769875C211yesmaximal, characteristic, complemented
17#23769658C211yesmaximal, characteristic, complemented
18#23769649C211yesmaximal, characteristic, complemented
19#23769517C211yesmaximal, characteristic, complemented
20#23769330C211yesmaximal, characteristic, complemented
21#23767655C211yesmaximal, characteristic, complemented
22#23767528C211yesmaximal, characteristic, complemented
23#23767526C211yesmaximal, characteristic, complemented
24#23767215C211yesmaximal, characteristic, complemented
25#23767207C211yesmaximal, characteristic, complemented
26#23766868C211yesmaximal, characteristic, complemented
27#23766860C211yesmaximal, characteristic, complemented
28#23766128C211yesmaximal, characteristic, complemented
29#23766101C211yesmaximal, characteristic, complemented
30C2×#19098420C211yesmaximal, characteristic, complemented
31C79×#2481C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579149C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579145C2211yescharacteristic
38C2×#14579141C2211yescharacteristic, complemented
39C2×#14579139C2211yescharacteristic
40C2×#14579139C2211yescharacteristic
41C2×#14579138C2211yescharacteristic
42C2×#14579138C2211yescharacteristic
43C2×#14579138C2211yescharacteristic
44C2×#14579138C2211yescharacteristic, complemented
45C2×#14579134C2211yescharacteristic
46C2×#14579134C2211yescharacteristic
47C2×#14579133C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579129C2211yescharacteristic
50C2×D4×Dic79C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C22×C4⋊Dic79C2211yescharacteristic
53C22×(C2×D79)⋊C4C2211yescharacteristic
54C22×(C2×D79)⋊C4C2211yescharacteristic
55#19098505C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098501C2211yescharacteristic, complemented
59#19098500C2211yescharacteristic
60#19098500C2211yescharacteristic, complemented
61#19098499C2211yescharacteristic, complemented
62#19098498C2211yescharacteristic
63#19098497C2211yescharacteristic, complemented
64#19098497C2211yescharacteristic, complemented
65#19098496C2211yescharacteristic, complemented
66#19098496C2211yescharacteristic, complemented
67#19098495C2211yescharacteristic, complemented
68#19098493C2211yescharacteristic, complemented
69#19098492C2211yescharacteristic
70#19098492C2211yescharacteristic
71#19098492C2211yescharacteristic, complemented
72#19098491C2211yescharacteristic, complemented
73#19098490C2211yescharacteristic
74#19098490C2211yescharacteristic
75#19098489C2211yescharacteristic, complemented
76#19098486C2211yescharacteristic, complemented
77#19098485C2211yescharacteristic, complemented
78#19098485C2211yescharacteristic, complemented
79#19098484C2211yescharacteristic, complemented
80#19098484C2211yescharacteristic, complemented
81#19098484C2211yescharacteristic, complemented
82#19098484C2211yescharacteristic, complemented
83#19098483C2211yescharacteristic, complemented
84#19098483C2211yescharacteristic, complemented
85#19098481C2211yescharacteristic
86#19098481C2211yescharacteristic
87#19098481C2211yescharacteristic
88#19098480C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic, complemented
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic, complemented
95#19098476C2211yescharacteristic
96#19098476C2211yescharacteristic
97#19098476C2211yescharacteristic, complemented
98#19098475C2211yescharacteristic, complemented
99#19098469C2211yescharacteristic, complemented
100#19098467C2211yescharacteristic, complemented
101#19098465C2211yescharacteristic
102#19098463C2211yescharacteristic
103#19098462C2211yescharacteristic, complemented
104#19098461C2211yescharacteristic, complemented
105#19098460C2211yescharacteristic, complemented
106#19098460C2211yescharacteristic, complemented
107#19098457C2211yescharacteristic, complemented
108#19098455C2211yescharacteristic
109#19098455C2211yescharacteristic
110#19098455C2211yescharacteristic
111#19098454C2211yescharacteristic
112#19098454C2211yescharacteristic
113#19098453C2211yescharacteristic
114#19098453C2211yescharacteristic, complemented
115#19098452C2211yescharacteristic
116#19098452C2211yescharacteristic
117#19098452C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098449C2211yescharacteristic, complemented
121#19098448C2211yescharacteristic, complemented
122#19098447C2211yescharacteristic, complemented
123#19098447C2211yescharacteristic, complemented
124#19098446C2211yescharacteristic, complemented
125#19098446C2211yescharacteristic, complemented
126#19098445C2211yescharacteristic, complemented
127#19098444C2211yescharacteristic, complemented
128#19098443C2211yescharacteristic
129#19098442C2211yescharacteristic
130#19098442C2211yescharacteristic
131#19098442C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098440C2211yescharacteristic
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic, complemented
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic, complemented
141#19098438C2211yescharacteristic
142#19098438C2211yescharacteristic, complemented
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098436C2211yescharacteristic
148#19098435C2211yescharacteristic
149#19098435C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic
151#19098434C2211yescharacteristic
152#19098423C2211yescharacteristic
153#19098422C2211yescharacteristic
154#19098422C2211yescharacteristic
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098421C2211yescharacteristic
158#19098421C2211yescharacteristic
159#19098420C2211yescharacteristic
160#19098420C2211yescharacteristic
161#19098420C2211yescharacteristic
162#19098420C2211yescharacteristic
163#19098420C2211yescharacteristic
164#19098420C2211yescharacteristic
165#19098420C2211yescharacteristic
166#19098420C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169C4×C22⋊Dic79C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#126×C79C2211yescharacteristic, complemented
173C22×C4⋊C4×C79C2211yescharacteristic
174#400×C79C2211yescharacteristic, complemented
175#400×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#396×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79—24no—
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579156—42no—
210#14579149—42no—
211#14579147—42no—
212#14579146—42no—
213#14579145—42no—
214#14579141—42no—
215#14579139—42no—
216#14579139—42no—
217#14579138—24no—
218#14579138—42no—
219#14579138—42no—
220#14579138—42no—
221#14579134—42no—
222#14579134—42no—
223#14579133—24no—
224#14579131—42no—
225#14579129—42no—
226D4×Dic79—42no—
227(C22⋊D79)⋊C4—42no—
228C2×C4⋊Dic79—42no—
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×(C2×D79)⋊C4—42no—
265C2×(C2×D79)⋊C4—42no—
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×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
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
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#126×C79—42no—
337C2×C4⋊C4×C79—42no—
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×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C2×Dic158—22no—
380C2×Dic158—41no—
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×Dic158—41no—
384C2×Dic158—41no—
385C2×Dic158—41no—
386C2×Dic158—41no—
387C2×Dic158—41no—
388C2×D316—22no—
389C2×D316—22no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79#4114yes—
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
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—416no—
447C4⋊Dic79—22no—
448C4⋊Dic79—22no—
449C4⋊Dic79—22no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452C4⋊Dic79—41no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
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—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482(C2×D79)⋊C4—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—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—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—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C2×D4×C79—22no—
519C2×D4×C79—22no—
520C2×D4×C79—22no—
521C22×C4×C79—22no—
522C22×C4×C79—22no—
523C22×C4×C79—22no—
524C22×C4×C79—22no—
525C22×C4×C79—22no—
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
542C22×C4×C79C2411yescharacteristic
543C4⋊C4×C79—22no—
544C4⋊C4×C79—22no—
545C4⋊C4×C79—22no—
546C4⋊C4×C79—22no—
547C4⋊C4×C79—41no—
548C4⋊C4×C79—41no—
549C4⋊C4×C79—41no—
550C4⋊C4×C79—41no—
551C22⋊C4×C79—22no—
552C22⋊C4×C79—22no—
553C22⋊C4×C79—22no—
554C22⋊C4×C79—22no—
555C22⋊C4×C79—22no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C22⋊C4×C79—41no—
559C22⋊C4×C79—41no—
560C42×C79—41no—
561C42×C79—41no—
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×C79C2×#4112yes—
574C23×C79H(5,𝔽2)12yes—
575C23×C792−1+412yes—
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—44no—
598C22×D79—44no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79H(5,𝔽2)12yes—
604C22×D792−1+412yes—
605D4×C79—44no—
606C2×C4×C79—28no—
607C2×C4×C79—21no—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
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—82no—
645C2×C4×C79—82no—
646C2×C4×C79H(5,𝔽2)12yes—
647C2×C4×C79H(5,𝔽2)12yes—
648C22⋊D79—44no—
649C22⋊D79—82no—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C2×Dic79—21no—
653C2×Dic79—21no—
654C2×Dic79—21no—
655C2×Dic79—21no—
656C2×Dic79—21no—
657C2×Dic79—21no—
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—44no—
690C2×Dic79—82no—
691C2×Dic79—82no—
692C2×Dic79—82no—
693C2×Dic79C2×#4112yes—
694C2×Dic79C2×#4112yes—
695D316—82no—
696D316—82no—
697C4×D79—44no—
698C4×D79—44no—
699C4×D79—44no—
700C4×D79—44no—
701C4×D79—82no—
702Dic158—82no—
703Dic158—82no—
704Dic158—82no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79#54214yes—
719C22×C79C22×#4111yescharacteristic
720C22×C79C2×H(5,𝔽2)11yescharacteristic
721C22×C79C2×H(5,𝔽2)11yescharacteristic
722C22×C79C2×H(5,𝔽2)11yescharacteristic
723C22×C79C2×H(5,𝔽2)11yescharacteristic
724C22×C79C2×2−1+411yescharacteristic
725C22×C79C2×2−1+411yescharacteristic
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—22no—
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—22no—
732C2×D79—416no—
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—
748C4×C79—22no—
749C4×C79—22no—
750C4×C79—41no—
751C4×C79—41no—
752C4×C79—41no—
753C4×C79—41no—
754C4×C79—41no—
755C4×C79—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761Dic79—22no—
762Dic79—22no—
763Dic79—41no—
764Dic79—41no—
765Dic79—41no—
766Dic79—41no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774#36729—791nomaximal, Sylow
775C2×C79—24no—
776C2×C79—81no—
777C2×C79C2×#54211yescharacteristic
778C2×C79#349011yescharacteristic
779C2×C79#349211yescharacteristic
780C2×C79#353611yescharacteristic
781C2×C79#353611yescharacteristic
782C2×C79#353711yescharacteristic
783C2×C79#353811yescharacteristic
784D79—42no—
785D79—42no—
786D79—81no—
787#2848—791no—
788#2847—791no—
789#2747—791no—
790#2747—791no—
791#2742—791no—
792#2742—791no—
793#2741—791no—
794#2741—791no—
795#2717—791no—
796#2717—791no—
797#2702—791no—
798#2702—791no—
799#2692—791no—
800#2692—791no—
801#2691—791no—
802#2691—791no—
803#2672—791no—
804#2672—791no—
805#2659—791no—
806#2639—791no—
807#2481—791no—
808#2481D7911yescharacteristic, complemented
809#2472—791no—
810#2472—791no—
811#2449—791no—
812#2449—791no—
813#2418—791no—
814#2418—791no—
815#2329—791no—
816#2325—791no—
817C2×#380—791no—
818C79#3672911yescharacteristic, complemented, Sylow
819C24×C4—791no—
820C2×#126—791no—
821C2×#126C2×D7911yescharacteristic, complemented
822C2×#124—791no—
823C2×#124—791no—
824C2×#123—791no—
825C2×#123—791no—
826C2×C22⋊Q8—791no—
827C2×C22⋊Q8—791no—
828C2×C22⋊Q8—791no—
829C2×C22⋊Q8—791no—
830C2×C22⋊Q8—791no—
831C2×C22⋊Q8—791no—
832C2×C22⋊Q8—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#120—791no—
837C2×#120—791no—
838C2×C4×D4—791no—
839C2×C4×D4—791no—
840C22×C4⋊C4—791no—
841C22×C4⋊C4C2×D7911yescharacteristic
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844#400—791no—
845#400—791no—
846#400—791no—
847#400—791no—
848#400C2×D7911yescharacteristic, complemented
849#400C2×D7911yescharacteristic, complemented
850#399—791no—
851#399—791no—
852#399—791no—
853#399—791no—
854#398—791no—
855#398—791no—
856#398—791no—
857#398—791no—
858#398—791no—
859#398—791no—
860#397—791no—
861#397—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397—791no—
867#397C2×D7911yescharacteristic, complemented
868#396—791no—
869#396—791no—
870#396—791no—
871#396C2×D7911yescharacteristic, complemented
872#395—791no—
873#395—791no—
874#395—791no—
875#395—791no—
876#395—791no—
877#395—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#394—791no—
884#394—791no—
885#394—791no—
886#394—791no—
887#394—791no—
888#393—791no—
889#393—791no—
890#393—791no—
891#393—791no—
892#391—791no—
893#391—791no—
894#390—791no—
895#390—791no—
896#389—791no—
897#389—791no—
898#389—791no—
899#389—791no—
900#388—791no—
901#388—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388C2×D7911yescharacteristic, complemented
912#387—791no—
913#387—791no—
914#387—791no—
915#387—791no—
916#387—791no—
917#387—791no—
918#387—791no—
919#387—791no—
920#387—791no—
921#387—791no—
922#387C2×D7911yescharacteristic, complemented
923#387C2×D7911yescharacteristic, complemented
924#386—791no—
925#386—791no—
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#386C2×D7911yescharacteristic
938#386C2×D7911yescharacteristic
939#386C2×D7911yescharacteristic
940#385—791no—
941#385—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#385C2×D7911yescharacteristic
952#380—791no—
953#380—791no—
954#380—791no—
955#380—791no—
956#380—791no—
957#380—791no—
958#380—791no—
959#380—791no—
960#380—791no—
961#380—791no—
962#380—791no—
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380C2×D7911yescharacteristic
968#379—791no—
969#379—791no—
970C4×C22⋊C4—791no—
971C4×C22⋊C4C2×D7911yescharacteristic
972C2×#95—791no—
973C2×#95—791no—
974C25—791no—
975C22×Q8—791no—
976C22×Q8—791no—
977C22×Q8—791no—
978C22×D4—791no—
979C22×D4—791no—
980C22×D4—791no—
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4C22×D7911yescharacteristic
985C23×C4—3162no—
986C23×C4—3162no—
987C23×C4—791no—
988C23×C4—791no—
989C23×C4—791no—
990C23×C4—791no—
991C23×C4—791no—
992C23×C4—791no—
993C23×C4—791no—
994C23×C4—791no—
995C23×C4—791no—
996C23×C4—1584no—
997C23×C4C22×D7911yescharacteristic
998C23×C4C22×D7911yescharacteristic
999C23×C4C22×D7911yescharacteristic
1000#126—42no—
1001#126—3162no—
1002#124—3162no—
1003#124—3162no—
1004#123—3162no—
1005#123—3162no—
1006C22⋊Q8—3162no—
1007C22⋊Q8—3162no—
1008C22⋊Q8—3162no—
1009C22⋊Q8—3162no—
1010C22⋊Q8—3162no—
1011C22⋊Q8—3162no—
1012C22⋊Q8—1584no—
1013#121—3162no—
1014#121—3162no—
1015#121—1584no—
1016#120—3162no—
1017#120—3162no—
1018C4×D4—3162no—
1019C4×D4—3162no—
1020C2×C4⋊C4—42no—
1021C2×C4⋊C4—3162no—
1022C2×C4⋊C4—791no—
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⋊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⋊C4C22×D7911yescharacteristic
1051C2×C4⋊C4C22×D7911yescharacteristic
1052C2×C4⋊C4C22×D7911yescharacteristic
1053C2×C4⋊C4C22×D7911yescharacteristic
1054C2×C4⋊C4C22×D7911yescharacteristic
1055C2×C4⋊C4C22×D7911yescharacteristic
1056C2×C4⋊C4C22×D7911yescharacteristic
1057C2×C4⋊C4C22×D7911yescharacteristic
1058C2×C22⋊C4—3162no—
1059C2×C22⋊C4—3162no—
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—791no—
1096C2×C22⋊C4—791no—
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×C22⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4C22×D7911yescharacteristic
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42C22×D7911yescharacteristic
1111C2×C42C22×D7911yescharacteristic
1112#95—791no—
1113#95—791no—
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#95C22×D7911yescharacteristic
1145#95C22×D7911yescharacteristic
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
1156C24—3161no—
1157C24—3161no—
1158C24—791no—
1159C24—791no—
1160C24—791no—
1161C24—1582no—
1162C24—1582no—
1163C24—1582no—
1164C24—1582no—
1165C24—1582no—
1166C24C23×D7911yescharacteristic
1167C24C23×D7911yescharacteristic
1168C2×Q8—3161no—
1169C2×Q8—3161no—
1170C2×Q8—3161no—
1171C2×Q8—3161no—
1172C2×Q8—3161no—
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—1582no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—3161no—
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—1582no—
1191C2×D4—1582no—
1192C2×D4—1582no—
1193C2×D4—1582no—
1194C2×D4—1582no—
1195C2×D4—1582no—
1196C2×D4—1582no—
1197C2×D4—1582no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—31616no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—794no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4—1582no—
1245C22×C4—1582no—
1246C22×C4—1582no—
1247C22×C4—1582no—
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—3161no—
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—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—1582no—
1290C4⋊C4—1582no—
1291C4⋊C4—1582no—
1292C4⋊C4—1582no—
1293C4⋊C4—1582no—
1294C4⋊C4—1582no—
1295C4⋊C4—1582no—
1296C4⋊C4—1582no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
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—1582no—
1329C22⋊C4—1582no—
1330C22⋊C4—1582no—
1331C22⋊C4—1582no—
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—
1343C42—41no—
1344C42—41no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—3164no—
1361C23—3164no—
1362C23—3164no—
1363C23—3164no—
1364C23—3164no—
1365C23—3164no—
1366C23—792no—
1367C23—792no—
1368C23—1588no—
1369C23—1581no—
1370C23—1581no—
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#41×D7912yes—
1389C23#1457920712yes—
1390C23#1457920812yes—
1391C23C24×D7911yescharacteristic
1392Q8—6322no—
1393Q8—6322no—
1394Q8—6322no—
1395D4—44no—
1396D4—3164no—
1397D4—6322no—
1398D4—6322no—
1399D4—6322no—
1400D4—6322no—
1401D4—6322no—
1402C2×C4—28no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
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—82no—
1441C2×C4—82no—
1442C2×C4—3164no—
1443C2×C4—3164no—
1444C2×C4—3164no—
1445C2×C4—3164no—
1446C2×C4—3164no—
1447C2×C4—792no—
1448C2×C4—792no—
1449C2×C4—6322no—
1450C2×C4—6322no—
1451C2×C4—6322no—
1452C2×C4—6322no—
1453C2×C4—1581no—
1454C2×C4—1581no—
1455C2×C4—1581no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4—1581no—
1459C2×C4—1581no—
1460C2×C4—1581no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
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#1457920612yes—
1491C2×C4#1457920712yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—31616no—
1506C22—3161no—
1507C22—3161no—
1508C22—3161no—
1509C22—3161no—
1510C22—3161no—
1511C22—3161no—
1512C22—3161no—
1513C22—3161no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—3161no—
1519C22—3161no—
1520C22—3161no—
1521C22—1582no—
1522C22—1582no—
1523C22—1582no—
1524C22—1582no—
1525C22—1582no—
1526C22—1582no—
1527C22#1909917914yes—
1528C22C2×#41×D7911yescharacteristic
1529C22H(5,𝔽2)×D7911yescharacteristic
1530C22C2×#1457920611yescharacteristic
1531C22C2×#1457920711yescharacteristic
1532C22C2×#1457920711yescharacteristic
1533C222−1+4×D7911yescharacteristic
1534C22C2×#1457920811yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—3161no—
1549C4—3161no—
1550C4—3161no—
1551C4—3161no—
1552C4—3161no—
1553C4—3161no—
1554C4—3161no—
1555C4—3161no—
1556C4—3161no—
1557C4—3161no—
1558C4—3161no—
1559C4—1582no—
1560C4—1582no—
1561C2—24no—
1562C2—81no—
1563C2—3162no—
1564C2—3162no—
1565C2—6321no—
1566C2C2×#1909917911yescharacteristic
1567C2#2377708311yescharacteristic
1568C2#2377710511yescharacteristic
1569C2#2377761611yescharacteristic
1570C2#2377762011yescharacteristic
1571C2#2377763611yescharacteristic
1572C2#2377764611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2481C2
prime radical#23771681C2
hypercenter#2481D79
hypocenterC79#36729
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. #23771686C2semidirect
3. #23770605C2semidirect
4. #23770597C2semidirect
5. #23770528C2semidirect
6. #23770524C2semidirect
7. #23770522C2semidirect
8. #23770518C2semidirect
9. #23770241C2semidirect
10. #23770240C2semidirect
11. #23770030C2semidirect
12. #23770022C2semidirect
13. #23769902C2semidirect
14. #23769894C2semidirect
15. #23769883C2semidirect
16. #23769875C2semidirect
17. #23769658C2semidirect
18. #23769649C2semidirect
19. #23769517C2semidirect
20. #23769330C2semidirect
21. #23767655C2semidirect
22. #23767528C2semidirect
23. #23767526C2semidirect
24. #23767215C2semidirect
25. #23767207C2semidirect
26. #23766868C2semidirect
27. #23766860C2semidirect
28. #23766128C2semidirect
29. #23766101C2semidirect
30. C2×#19098420C2semidirect
31. C79×#2481C2semidirect
33. C2×#14579156C22semidirect
38. C2×#14579141C22semidirect
44. C2×#14579138C22semidirect
55. #19098505C22semidirect
56. #19098504C22semidirect
57. #19098502C22semidirect
58. #19098501C22semidirect
60. #19098500C22semidirect
61. #19098499C22semidirect
63. #19098497C22semidirect
64. #19098497C22semidirect
65. #19098496C22semidirect
66. #19098496C22semidirect
67. #19098495C22semidirect
68. #19098493C22semidirect
71. #19098492C22semidirect
72. #19098491C22semidirect
75. #19098489C22semidirect
76. #19098486C22semidirect
77. #19098485C22semidirect
78. #19098485C22semidirect
79. #19098484C22semidirect
80. #19098484C22semidirect
81. #19098484C22semidirect
82. #19098484C22semidirect
83. #19098483C22semidirect
84. #19098483C22semidirect
92. #19098479C22semidirect
94. #19098478C22semidirect
97. #19098476C22semidirect
98. #19098475C22semidirect
99. #19098469C22semidirect
100. #19098467C22semidirect
103. #19098462C22semidirect
104. #19098461C22semidirect
105. #19098460C22semidirect
106. #19098460C22semidirect
107. #19098457C22semidirect
114. #19098453C22semidirect
117. #19098452C22semidirect
118. #19098450C22semidirect
119. #19098450C22semidirect
120. #19098449C22semidirect
121. #19098448C22semidirect
122. #19098447C22semidirect
123. #19098447C22semidirect
124. #19098446C22semidirect
125. #19098446C22semidirect
126. #19098445C22semidirect
127. #19098444C22semidirect
137. #19098440C22semidirect
140. #19098439C22semidirect
142. #19098438C22semidirect
145. #19098437C22semidirect
146. #19098437C22semidirect
149. #19098435C22semidirect
172. C2×#126×C79C22semidirect
174. #400×C79C22semidirect
175. #400×C79C22semidirect
176. #397×C79C22semidirect
177. #396×C79C22semidirect
178. #388×C79C22semidirect
179. #387×C79C22semidirect
180. #387×C79C22semidirect
808. #2481D79semidirect
818. C79#36729semidirect
821. C2×#126C2×D79semidirect
848. #400C2×D79semidirect
849. #400C2×D79semidirect
867. #397C2×D79semidirect
871. #396C2×D79semidirect
911. #388C2×D79semidirect
922. #387C2×D79semidirect
923. #387C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716862
#237716812
#237706052
#237705972
#237705282
#237705242
#237705222
#237705182
#237702412
#237702402
#237700302
#237700222
#237699022
#237698942
#237698832
#237698752
#237696582
#237696492
#237695172
#237693302
#237676552
#237675282
#237675262
#237672152
#237672072
#237668682
#237668602
#237661282
#237661012
C2×#190984202
C79×#24812
#3672979