Finite Group Databasebeta

← #34497119

Subgroups — #34497119

Order 20224.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771691C211yesmaximal, characteristic, complemented
2#23771686C211yesmaximal, characteristic, complemented
3#23771245C211yesmaximal, characteristic, complemented
4#23770790C211yesmaximal, characteristic, complemented
5#23770733C211yesmaximal, characteristic, complemented
6#23770656C211yesmaximal, characteristic, complemented
7#23770452C211yesmaximal, characteristic, complemented
8#23770394C211yesmaximal, characteristic, complemented
9#23770314C211yesmaximal, characteristic, complemented
10#23770214C211yesmaximal, characteristic, complemented
11#23770172C211yesmaximal, characteristic, complemented
12#23770145C211yesmaximal, characteristic, complemented
13#23770070C211yesmaximal, characteristic, complemented
14#23770013C211yesmaximal, characteristic, complemented
15#23769999C211yesmaximal, characteristic, complemented
16#23769881C211yesmaximal, characteristic, complemented
17#23769806C211yesmaximal, characteristic, complemented
18#23769652C211yesmaximal, characteristic, complemented
19#23769211C211yesmaximal, characteristic, complemented
20#23769177C211yesmaximal, characteristic, complemented
21#23768576C211yesmaximal, characteristic, complemented
22#23768406C211yesmaximal, characteristic, complemented
23#23767648C211yesmaximal, characteristic, complemented
24#23767648C211yesmaximal, characteristic, complemented
25#23767528C211yesmaximal, characteristic, complemented
26#23767528C211yesmaximal, characteristic, complemented
27#23767051C211yesmaximal, characteristic, complemented
28#23766756C211yesmaximal, characteristic
29#23766133C211yesmaximal, characteristic, complemented
30C2×#19098441C211yesmaximal, characteristic, complemented
31C79×#2318C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579149C2211yescharacteristic
37C2×#14579149C2211yescharacteristic
38C2×#14579147C2211yescharacteristic, complemented
39C2×#14579147C2211yescharacteristic, complemented
40C2×#14579143C2211yescharacteristic, complemented
41C2×#14579143C2211yescharacteristic, complemented
42C2×#14579140C2211yescharacteristic
43C2×#14579139C2211yescharacteristic, complemented
44C2×#14579139C2211yescharacteristic, complemented
45C2×#14579138C2211yescharacteristic
46C2×#14579138C2211yescharacteristic
47C2×#14579135C2211yescharacteristic
48C2×#14579135C2211yescharacteristic
49C2×#14579129C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C22×(C2×D79)⋊C4C2211yescharacteristic
52C22×(C2×D79)⋊C4C2211yescharacteristic
53C22×(C2×D79)⋊C4C2211yescharacteristic
54#19098502C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic, complemented
56#19098498C2211yescharacteristic, complemented
57#19098498C2211yescharacteristic, complemented
58#19098495C2211yescharacteristic, complemented
59#19098495C2211yescharacteristic, complemented
60#19098492C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098492C2211yescharacteristic, complemented
63#19098492C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic, complemented
65#19098492C2211yescharacteristic, complemented
66#19098490C2211yescharacteristic, complemented
67#19098490C2211yescharacteristic, complemented
68#19098490C2211yescharacteristic, complemented
69#19098490C2211yescharacteristic, complemented
70#19098489C2211yescharacteristic, complemented
71#19098489C2211yescharacteristic, complemented
72#19098487C2211yescharacteristic, complemented
73#19098487C2211yescharacteristic, complemented
74#19098485C2211yescharacteristic, complemented
75#19098485C2211yescharacteristic, complemented
76#19098485C2211yescharacteristic, complemented
77#19098485C2211yescharacteristic, complemented
78#19098484C2211yescharacteristic, complemented
79#19098484C2211yescharacteristic, complemented
80#19098483C2211yescharacteristic, complemented
81#19098481C2211yescharacteristic
82#19098481C2211yescharacteristic
83#19098481C2211yescharacteristic
84#19098481C2211yescharacteristic
85#19098480C2211yescharacteristic
86#19098480C2211yescharacteristic
87#19098479C2211yescharacteristic, complemented
88#19098479C2211yescharacteristic, complemented
89#19098479C2211yescharacteristic, complemented
90#19098479C2211yescharacteristic, complemented
91#19098478C2211yescharacteristic, complemented
92#19098478C2211yescharacteristic, complemented
93#19098478C2211yescharacteristic, complemented
94#19098478C2211yescharacteristic, complemented
95#19098476C2211yescharacteristic, complemented
96#19098476C2211yescharacteristic, complemented
97#19098476C2211yescharacteristic, complemented
98#19098476C2211yescharacteristic, complemented
99#19098475C2211yescharacteristic, complemented
100#19098472C2211yescharacteristic
101#19098472C2211yescharacteristic
102#19098469C2211yescharacteristic, complemented
103#19098469C2211yescharacteristic, complemented
104#19098467C2211yescharacteristic, complemented
105#19098467C2211yescharacteristic, complemented
106#19098465C2211yescharacteristic
107#19098465C2211yescharacteristic
108#19098465C2211yescharacteristic
109#19098465C2211yescharacteristic
110#19098463C2211yescharacteristic, complemented
111#19098463C2211yescharacteristic, complemented
112#19098461C2211yescharacteristic, complemented
113#19098461C2211yescharacteristic, complemented
114#19098460C2211yescharacteristic, complemented
115#19098460C2211yescharacteristic, complemented
116#19098455C2211yescharacteristic, complemented
117#19098455C2211yescharacteristic, complemented
118#19098455C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic, complemented
120#19098453C2211yescharacteristic, complemented
121#19098453C2211yescharacteristic, complemented
122#19098452C2211yescharacteristic, complemented
123#19098452C2211yescharacteristic, complemented
124#19098452C2211yescharacteristic, complemented
125#19098452C2211yescharacteristic, complemented
126#19098450C2211yescharacteristic, complemented
127#19098450C2211yescharacteristic, complemented
128#19098447C2211yescharacteristic, complemented
129#19098447C2211yescharacteristic, complemented
130#19098446C2211yescharacteristic, complemented
131#19098446C2211yescharacteristic, complemented
132#19098443C2211yescharacteristic
133#19098443C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098441C2211yescharacteristic
137#19098441C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098438C2211yescharacteristic
145#19098438C2211yescharacteristic
146#19098437C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098437C2211yescharacteristic, complemented
149#19098437C2211yescharacteristic, complemented
150#19098436C2211yescharacteristic
151#19098436C2211yescharacteristic
152#19098436C2211yescharacteristic, complemented
153#19098436C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic, complemented
157#19098425C2211yescharacteristic, complemented
158#19098423C2211yescharacteristic
159#19098422C2211yescharacteristic, complemented
160#19098422C2211yescharacteristic, complemented
161#19098421C2211yescharacteristic
162#19098421C2211yescharacteristic
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169C4×C22⋊Dic79C2211yescharacteristic
170C4×C22⋊Dic79C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×C4×D4×C79C2211yescharacteristic
173#388×C79C2211yescharacteristic, complemented
174#388×C79C2211yescharacteristic, complemented
175#387×C79C2211yescharacteristic, complemented
176#387×C79C2211yescharacteristic, complemented
177#386×C79C2211yescharacteristic
178#386×C79C2211yescharacteristic
179#385×C79C2211yescharacteristic
180#385×C79C2211yescharacteristic
181#383×C79C2211yescharacteristic, complemented
182#382×C79C2211yescharacteristic, complemented
183#381×C79C2211yescharacteristic, complemented
184#380×C79C2211yescharacteristic, complemented
185C4×C22⋊C4×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316—24no—
193C22×D316—42no—
194C22×D316—42no—
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C22×C4×D79—42no—
206C22×C4×D79—42no—
207C22×C4×D79—42no—
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579156—42no—
213#14579156—42no—
214#14579149—42no—
215#14579149—42no—
216#14579147—42no—
217#14579147—42no—
218#14579143—42no—
219#14579143—42no—
220#14579140—24no—
221#14579139—42no—
222#14579139—42no—
223#14579138—42no—
224#14579138—42no—
225#14579135—42no—
226#14579135—42no—
227#14579129—42no—
228#14579129—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×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×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×(C2×D79)⋊C4—42no—
261C2×(C2×D79)⋊C4—42no—
262C2×(C2×D79)⋊C4—42no—
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
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C4×D4×C79—24no—
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C42×C79C2311yescharacteristic
353C2×C42×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—22no—
375C23×D79—22no—
376C23×D79—22no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C23×D79C2411yescharacteristic
387C2×Dic158—22no—
388C2×Dic158—22no—
389C2×Dic158—41no—
390C2×Dic158—41no—
391C2×Dic158—41no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—22no—
400C2×D316—22no—
401C2×D316—22no—
402C2×D316—22no—
403C2×D316—22no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—416no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—22no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—416no—
452C4⋊Dic79—22no—
453C4⋊Dic79—22no—
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—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—22no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
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—
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—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C24×C79C2411yescharacteristic
528C24×C79C2411yescharacteristic
529C2×D4×C79—22no—
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—22no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79#4114yes—
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C4⋊C4×C79—22no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C42×C79—22no—
571C42×C79—41no—
572C42×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79C2×#4112yes—
585C23×C79H(5,𝔽2)12yes—
586C23×C792−1+412yes—
587C23×C79C2511yescharacteristic
588C22×D79—28no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—44no—
620C22×D79—44no—
621C22×D79—44no—
622C22×D79—44no—
623C22×D79—44no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79H(5,𝔽2)12yes—
629C22×D79H(5,𝔽2)12yes—
630D4×C79—44no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—44no—
669C2×C4×C79—44no—
670C2×C4×C79—82no—
671C2×C4×C79—82no—
672C2×C4×C79C2×#4112yes—
673C2×C4×C79C2×#4112yes—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—44no—
714C2×Dic79—82no—
715C2×Dic79H(5,𝔽2)12yes—
716D316—44no—
717D316—44no—
718D316—44no—
719D316—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724Dic158—82no—
725Dic158—82no—
726Dic158—82no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79#54214yes—
741C22×C79C22×#4111yescharacteristic
742C22×C79C2×H(5,𝔽2)11yescharacteristic
743C22×C79C2×H(5,𝔽2)11yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×H(5,𝔽2)11yescharacteristic
746C22×C79C2×2−1+411yescharacteristic
747C22×C79#58511yescharacteristic
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—416no—
755C2×D79—41no—
756C2×D79—41no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—88no—
778C4×C79—22no—
779C4×C79—22no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803#36793—791nomaximal, Sylow
804C2×C79—24no—
805C2×C79—81no—
806C2×C79C2×#54211yescharacteristic
807C2×C79#349011yescharacteristic
808C2×C79#350611yescharacteristic
809C2×C79#353211yescharacteristic
810C2×C79#353411yescharacteristic
811C2×C79#353511yescharacteristic
812C2×C79#353611yescharacteristic
813D79—42no—
814D79—42no—
815D79—81no—
816D79—81no—
817#2849—791no—
818#2848—791no—
819#2796—791no—
820#2761—791no—
821#2757—791no—
822#2751—791no—
823#2737—791no—
824#2730—791no—
825#2723—791no—
826#2715—791no—
827#2712—791no—
828#2710—791no—
829#2705—791no—
830#2701—791no—
831#2700—791no—
832#2691—791no—
833#2686—791no—
834#2672—791no—
835#2626—791no—
836#2622—791no—
837#2564—791no—
838#2549—791no—
839#2480—791no—
840#2480—791no—
841#2472—791no—
842#2472—791no—
843#2435—791no—
844#2408—791no—
845#2329—791no—
846#2318D7911yescharacteristic, complemented
847C2×#386—791no—
848C79#3679311yescharacteristic, complemented, Sylow
849C23×D4—791no—
850C24×C4—791no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#124—791no—
854C2×#124—791no—
855C2×#124—791no—
856C2×#124—791no—
857C2×#123—791no—
858C2×#123—791no—
859C2×C22⋊Q8—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×#121—791no—
865C2×#121—791no—
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4C2×D7911yescharacteristic
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872#400—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#398—791no—
877#398—791no—
878#397—791no—
879#397—791no—
880#397—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397—791no—
890#396—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#395—791no—
897#395—791no—
898#395—791no—
899#394—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#393—791no—
914#393—791no—
915#393—791no—
916#393—791no—
917#393—791no—
918#392—791no—
919#392—791no—
920#391—791no—
921#391—791no—
922#391—791no—
923#391—791no—
924#390—791no—
925#390—791no—
926#390—791no—
927#390—791no—
928#390—791no—
929#390—791no—
930#389—791no—
931#389—791no—
932#389—791no—
933#389—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388C2×D7911yescharacteristic, complemented
945#388C2×D7911yescharacteristic, complemented
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387C2×D7911yescharacteristic, complemented
953#387C2×D7911yescharacteristic, complemented
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386C2×D7911yescharacteristic
967#386C2×D7911yescharacteristic
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385C2×D7911yescharacteristic
981#385C2×D7911yescharacteristic
982#383C2×D7911yescharacteristic, complemented
983#382C2×D7911yescharacteristic, complemented
984#381—791no—
985#381—791no—
986#381C2×D7911yescharacteristic, complemented
987#380—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380C2×D7911yescharacteristic, complemented
993#379—791no—
994#379—791no—
995#379—791no—
996#379—791no—
997#379—791no—
998#379—791no—
999C4×C22⋊C4—791no—
1000C4×C22⋊C4—791no—
1001C4×C22⋊C4C2×D7911yescharacteristic
1002C2×#95—791no—
1003C2×#95C2×D7911yescharacteristic
1004C25—791no—
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8—791no—
1008C22×Q8—791no—
1009C22×D4—3162no—
1010C22×D4—3162no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—1584no—
1020C22×D4C22×D7911yescharacteristic
1021C23×C4—3162no—
1022C23×C4—3162no—
1023C23×C4—3162no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4C22×D7911yescharacteristic
1031C23×C4C22×D7911yescharacteristic
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034#126—3162no—
1035#126—3162no—
1036#124—3162no—
1037#124—3162no—
1038#124—3162no—
1039#124—3162no—
1040#123—3162no—
1041#123—3162no—
1042C22⋊Q8—3162no—
1043C22⋊Q8—3162no—
1044C22⋊Q8—3162no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—1584no—
1047#121—3162no—
1048#121—3162no—
1049#120—3162no—
1050#120—3162no—
1051C4×D4—24no—
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⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
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⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C42—791no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42C22×D7911yescharacteristic
1144C2×C42C22×D7911yescharacteristic
1145C2×C42C22×D7911yescharacteristic
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95C22×D7911yescharacteristic
1173#95C22×D7911yescharacteristic
1174#95C22×D7911yescharacteristic
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186C24—3161no—
1187C24—3161no—
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—3161no—
1192C24—791no—
1193C24—791no—
1194C24—791no—
1195C24—791no—
1196C24—1582no—
1197C24—1582no—
1198C24—1582no—
1199C24—1582no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24—1582no—
1204C24C23×D7911yescharacteristic
1205C24C23×D7911yescharacteristic
1206C2×Q8—3161no—
1207C2×Q8—3161no—
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—1582no—
1214C2×Q8—1582no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—3161no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—31616no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C2×D4—1582no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—31616no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—1582no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4—1582no—
1285C22×C4#1192962414yes—
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
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—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
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—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C42—22no—
1384C42—41no—
1385C42—41no—
1386C42—3161no—
1387C42—3161no—
1388C42—3161no—
1389C42—3161no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—3164no—
1402C23—3164no—
1403C23—3164no—
1404C23—3164no—
1405C23—3164no—
1406C23—3164no—
1407C23—3164no—
1408C23—3164no—
1409C23—3164no—
1410C23—792no—
1411C23—792no—
1412C23—6322no—
1413C23—6322no—
1414C23—6322no—
1415C23—6322no—
1416C23—1588no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23C2×#1192962412yes—
1444C23#1457920712yes—
1445C23#1457920812yes—
1446C23C24×D7911yescharacteristic
1447Q8—6322no—
1448Q8—6322no—
1449Q8—6322no—
1450D4—44no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—3164no—
1501C2×C4—3164no—
1502C2×C4—3164no—
1503C2×C4—3164no—
1504C2×C4—3164no—
1505C2×C4—792no—
1506C2×C4—6322no—
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×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4C2×#1192962412yes—
1543C2×C4C2×#1192962412yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—31616no—
1558C22—3161no—
1559C22—3161no—
1560C22—3161no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—6328no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22#1909918414yes—
1588C22C22×#1192962411yescharacteristic
1589C22H(5,𝔽2)×D7911yescharacteristic
1590C22H(5,𝔽2)×D7911yescharacteristic
1591C22H(5,𝔽2)×D7911yescharacteristic
1592C22C2×#1457920711yescharacteristic
1593C22C2×#1457920811yescharacteristic
1594C22#1909940011yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—1582no—
1620C2—24no—
1621C2—81no—
1622C2—3162no—
1623C2—3162no—
1624C2—6321no—
1625C2—6321no—
1626C2C2×#1909918411yescharacteristic
1627C2#2377708511yescharacteristic
1628C2#2377724511yescharacteristic
1629C2#2377755111yescharacteristic
1630C2#2377758811yescharacteristic
1631C2#2377760611yescharacteristic
1632C2#2377762111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2318C2
prime radical#23766756C2
hypercenter#2318D79
hypocenterC79#36793
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #23771691C2semidirect
2. #23771686C2semidirect
3. #23771245C2semidirect
4. #23770790C2semidirect
5. #23770733C2semidirect
6. #23770656C2semidirect
7. #23770452C2semidirect
8. #23770394C2semidirect
9. #23770314C2semidirect
10. #23770214C2semidirect
11. #23770172C2semidirect
12. #23770145C2semidirect
13. #23770070C2semidirect
14. #23770013C2semidirect
15. #23769999C2semidirect
16. #23769881C2semidirect
17. #23769806C2semidirect
18. #23769652C2semidirect
19. #23769211C2semidirect
20. #23769177C2semidirect
21. #23768576C2semidirect
22. #23768406C2semidirect
23. #23767648C2semidirect
24. #23767648C2semidirect
25. #23767528C2semidirect
26. #23767528C2semidirect
27. #23767051C2semidirect
29. #23766133C2semidirect
30. C2×#19098441C2semidirect
31. C79×#2318C2semidirect
34. C2×#14579156C22semidirect
35. C2×#14579156C22semidirect
38. C2×#14579147C22semidirect
39. C2×#14579147C22semidirect
40. C2×#14579143C22semidirect
41. C2×#14579143C22semidirect
43. C2×#14579139C22semidirect
44. C2×#14579139C22semidirect
54. #19098502C22semidirect
55. #19098499C22semidirect
56. #19098498C22semidirect
57. #19098498C22semidirect
58. #19098495C22semidirect
59. #19098495C22semidirect
60. #19098492C22semidirect
61. #19098492C22semidirect
62. #19098492C22semidirect
63. #19098492C22semidirect
64. #19098492C22semidirect
65. #19098492C22semidirect
66. #19098490C22semidirect
67. #19098490C22semidirect
68. #19098490C22semidirect
69. #19098490C22semidirect
70. #19098489C22semidirect
71. #19098489C22semidirect
72. #19098487C22semidirect
73. #19098487C22semidirect
74. #19098485C22semidirect
75. #19098485C22semidirect
76. #19098485C22semidirect
77. #19098485C22semidirect
78. #19098484C22semidirect
79. #19098484C22semidirect
80. #19098483C22semidirect
87. #19098479C22semidirect
88. #19098479C22semidirect
89. #19098479C22semidirect
90. #19098479C22semidirect
91. #19098478C22semidirect
92. #19098478C22semidirect
93. #19098478C22semidirect
94. #19098478C22semidirect
95. #19098476C22semidirect
96. #19098476C22semidirect
97. #19098476C22semidirect
98. #19098476C22semidirect
99. #19098475C22semidirect
102. #19098469C22semidirect
103. #19098469C22semidirect
104. #19098467C22semidirect
105. #19098467C22semidirect
110. #19098463C22semidirect
111. #19098463C22semidirect
112. #19098461C22semidirect
113. #19098461C22semidirect
114. #19098460C22semidirect
115. #19098460C22semidirect
116. #19098455C22semidirect
117. #19098455C22semidirect
118. #19098455C22semidirect
119. #19098455C22semidirect
120. #19098453C22semidirect
121. #19098453C22semidirect
122. #19098452C22semidirect
123. #19098452C22semidirect
124. #19098452C22semidirect
125. #19098452C22semidirect
126. #19098450C22semidirect
127. #19098450C22semidirect
128. #19098447C22semidirect
129. #19098447C22semidirect
130. #19098446C22semidirect
131. #19098446C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
146. #19098437C22semidirect
147. #19098437C22semidirect
148. #19098437C22semidirect
149. #19098437C22semidirect
152. #19098436C22semidirect
153. #19098436C22semidirect
154. #19098434C22semidirect
155. #19098434C22semidirect
156. #19098425C22semidirect
157. #19098425C22semidirect
159. #19098422C22semidirect
160. #19098422C22semidirect
173. #388×C79C22semidirect
174. #388×C79C22semidirect
175. #387×C79C22semidirect
176. #387×C79C22semidirect
181. #383×C79C22semidirect
182. #382×C79C22semidirect
183. #381×C79C22semidirect
184. #380×C79C22semidirect
846. #2318D79semidirect
848. C79#36793semidirect
944. #388C2×D79semidirect
945. #388C2×D79semidirect
952. #387C2×D79semidirect
953. #387C2×D79semidirect
982. #383C2×D79semidirect
983. #382C2×D79semidirect
986. #381C2×D79semidirect
992. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716912
#237716862
#237712452
#237707902
#237707332
#237706562
#237704522
#237703942
#237703142
#237702142
#237701722
#237701452
#237700702
#237700132
#237699992
#237698812
#237698062
#237696522
#237692112
#237691772
#237685762
#237684062
#237676482
#237675282
#237670512
#237667562
#237661332
C2×#190984412
C79×#23182
#3679379