Finite Group Databasebeta

← #34496566

Subgroups — #34496566

Order 20224.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771689C211yesmaximal, characteristic, complemented
2#23771684C211yesmaximal, characteristic, complemented
3#23771075C211yesmaximal, characteristic, complemented
4#23770640C211yesmaximal, characteristic, complemented
5#23770588C211yesmaximal, characteristic, complemented
6#23770583C211yesmaximal, characteristic, complemented
7#23770540C211yesmaximal, characteristic, complemented
8#23770367C211yesmaximal, characteristic, complemented
9#23770120C211yesmaximal, characteristic, complemented
10#23770112C211yesmaximal, characteristic, complemented
11#23770093C211yesmaximal, characteristic, complemented
12#23769955C211yesmaximal, characteristic, complemented
13#23769936C211yesmaximal, characteristic, complemented
14#23769912C211yesmaximal, characteristic, complemented
15#23769905C211yesmaximal, characteristic, complemented
16#23769882C211yesmaximal, characteristic, complemented
17#23769817C211yesmaximal, characteristic, complemented
18#23769369C211yesmaximal, characteristic, complemented
19#23769357C211yesmaximal, characteristic, complemented
20#23767906C211yesmaximal, characteristic, complemented
21#23767650C211yesmaximal, characteristic, complemented
22#23767217C211yesmaximal, characteristic, complemented
23#23767063C211yesmaximal, characteristic, complemented
24#23766857C211yesmaximal, characteristic, complemented
25#23766791C211yesmaximal, characteristic, complemented
26#23766771C211yesmaximal, characteristic
27#23766722C211yesmaximal, characteristic, complemented
28#23766059C211yesmaximal, characteristic, complemented
29#23766011C211yesmaximal, characteristic, complemented
30#386×D79C211yesmaximal, characteristic, complemented
31C79×#2681C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579155C2211yescharacteristic, complemented
35C2×#14579146C2211yescharacteristic
36C2×#14579145C2211yescharacteristic, complemented
37C2×#14579143C2211yescharacteristic
38C2×#14579143C2211yescharacteristic, complemented
39C2×#14579142C2211yescharacteristic, complemented
40C2×#14579137C2211yescharacteristic
41C2×#14579137C2211yescharacteristic, complemented
42C2×#14579133C2211yescharacteristic
43C2×#14579129C2211yescharacteristic
44C2×#14579129C2211yescharacteristic
45C2×(C22⋊D79)⋊C4C2211yescharacteristic
46C22×(C2×D79)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D79C2211yescharacteristic
48C2×C22⋊C4×D79C2211yescharacteristic
49C2×C22⋊C4×D79C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098504C2211yescharacteristic, complemented
55#19098504C2211yescharacteristic, complemented
56#19098502C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098501C2211yescharacteristic, complemented
59#19098501C2211yescharacteristic, complemented
60#19098501C2211yescharacteristic, complemented
61#19098501C2211yescharacteristic, complemented
62#19098501C2211yescharacteristic, complemented
63#19098499C2211yescharacteristic, complemented
64#19098498C2211yescharacteristic, complemented
65#19098497C2211yescharacteristic, complemented
66#19098496C2211yescharacteristic, complemented
67#19098496C2211yescharacteristic, complemented
68#19098494C2211yescharacteristic, complemented
69#19098493C2211yescharacteristic, complemented
70#19098492C2211yescharacteristic, complemented
71#19098491C2211yescharacteristic, complemented
72#19098491C2211yescharacteristic, complemented
73#19098491C2211yescharacteristic, complemented
74#19098491C2211yescharacteristic, complemented
75#19098491C2211yescharacteristic, complemented
76#19098490C2211yescharacteristic, complemented
77#19098489C2211yescharacteristic, complemented
78#19098488C2211yescharacteristic, complemented
79#19098486C2211yescharacteristic, complemented
80#19098486C2211yescharacteristic, complemented
81#19098485C2211yescharacteristic, complemented
82#19098485C2211yescharacteristic, complemented
83#19098480C2211yescharacteristic
84#19098479C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic, complemented
88#19098477C2211yescharacteristic
89#19098477C2211yescharacteristic, complemented
90#19098474C2211yescharacteristic, complemented
91#19098472C2211yescharacteristic
92#19098471C2211yescharacteristic
93#19098470C2211yescharacteristic, complemented
94#19098463C2211yescharacteristic, complemented
95#19098457C2211yescharacteristic, complemented
96#19098457C2211yescharacteristic, complemented
97#19098457C2211yescharacteristic, complemented
98#19098456C2211yescharacteristic, complemented
99#19098454C2211yescharacteristic, complemented
100#19098453C2211yescharacteristic, complemented
101#19098453C2211yescharacteristic, complemented
102#19098452C2211yescharacteristic, complemented
103#19098448C2211yescharacteristic, complemented
104#19098448C2211yescharacteristic, complemented
105#19098447C2211yescharacteristic, complemented
106#19098443C2211yescharacteristic
107#19098443C2211yescharacteristic
108#19098443C2211yescharacteristic, complemented
109#19098443C2211yescharacteristic, complemented
110#19098442C2211yescharacteristic
111#19098442C2211yescharacteristic
112#19098441C2211yescharacteristic
113#19098441C2211yescharacteristic
114#19098441C2211yescharacteristic
115#19098440C2211yescharacteristic
116#19098440C2211yescharacteristic, complemented
117#19098439C2211yescharacteristic
118#19098439C2211yescharacteristic
119#19098439C2211yescharacteristic
120#19098439C2211yescharacteristic
121#19098439C2211yescharacteristic
122#19098439C2211yescharacteristic
123#19098439C2211yescharacteristic
124#19098439C2211yescharacteristic, complemented
125#19098439C2211yescharacteristic, complemented
126#19098439C2211yescharacteristic, complemented
127#19098438C2211yescharacteristic, complemented
128#19098438C2211yescharacteristic, complemented
129#19098438C2211yescharacteristic, complemented
130#19098437C2211yescharacteristic
131#19098437C2211yescharacteristic
132#19098437C2211yescharacteristic
133#19098436C2211yescharacteristic, complemented
134#19098436C2211yescharacteristic, complemented
135#19098435C2211yescharacteristic, complemented
136#19098435C2211yescharacteristic, complemented
137#19098435C2211yescharacteristic, complemented
138#19098434C2211yescharacteristic
139#19098434C2211yescharacteristic
140#19098434C2211yescharacteristic
141#19098434C2211yescharacteristic
142#19098434C2211yescharacteristic
143#19098434C2211yescharacteristic
144#19098434C2211yescharacteristic
145#19098434C2211yescharacteristic, complemented
146#19098434C2211yescharacteristic, complemented
147#19098434C2211yescharacteristic, complemented
148#19098434C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098427C2211yescharacteristic, complemented
151#19098426C2211yescharacteristic, complemented
152#19098425C2211yescharacteristic, complemented
153#19098424C2211yescharacteristic, complemented
154#19098423C2211yescharacteristic, complemented
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic, complemented
157#19098422C2211yescharacteristic, complemented
158#19098421C2211yescharacteristic, complemented
159#19098421C2211yescharacteristic, complemented
160#19098420C2211yescharacteristic
161#19098420C2211yescharacteristic
162#19098420C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169C4×(C2×D79)⋊C4C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic, complemented
173C2×C22⋊Q8×C79C2211yescharacteristic, complemented
174C2×C22⋊Q8×C79C2211yescharacteristic, complemented
175C2×#121×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#396×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic, complemented
181#393×C79C2211yescharacteristic, complemented
182#390×C79C2211yescharacteristic, complemented
183#389×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C2×D4×D79—24no—
196C2×D4×D79—42no—
197C2×D4×D79—42no—
198C23×Dic79C2311yescharacteristic
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
212C22×C4×D79C2311yescharacteristic
213#14579155—42no—
214#14579146—42no—
215#14579145—42no—
216#14579143—42no—
217#14579143—42no—
218#14579142—42no—
219#14579137—42no—
220#14579137—42no—
221#14579133—42no—
222#14579129—24no—
223#14579129—42no—
224(C22⋊D79)⋊C4—42no—
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
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)⋊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
286C22⋊C4×D79—24no—
287C22⋊C4×D79—42no—
288C22⋊C4×D79—42no—
289C22⋊C4×D79—42no—
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C22×Q8×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#123×C79—42no—
337C22⋊Q8×C79—42no—
338C22⋊Q8×C79—42no—
339#121×C79—42no—
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×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C42×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—41no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79#4114yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C2×D316—22no—
387C2×D316—22no—
388C2×D316—41no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404D4×D79—416no—
405C22×Dic79—22no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
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—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—416no—
455C4⋊Dic79—22no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
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—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
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—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C24×C79C2411yescharacteristic
518C24×C79C2411yescharacteristic
519C24×C79C2411yescharacteristic
520C2×Q8×C79—22no—
521C2×Q8×C79—41no—
522C2×Q8×C79—41no—
523C2×D4×C79—22no—
524C2×D4×C79—22no—
525C2×D4×C79—22no—
526C2×D4×C79—22no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
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
550C4⋊C4×C79—22no—
551C4⋊C4×C79—41no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×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×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79C2×#4112yes—
593C23×C79H(5,𝔽2)12yes—
594C23×C79C2511yescharacteristic
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—28no—
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—28no—
613C22×D79—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—44no—
620C22×D79—44no—
621C22×D79—82no—
622C22×D79—82no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79C2×#4112yes—
626C22×D79C2×#4112yes—
627C22×D79H(5,𝔽2)12yes—
628C22×D79H(5,𝔽2)12yes—
629C22×D792−1+412yes—
630Q8×C79—82no—
631D4×C79—44no—
632D4×C79—82no—
633D4×C79—82no—
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—21no—
669C2×C4×C79—44no—
670C2×C4×C79—82no—
671C2×C4×C79H(5,𝔽2)12yes—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C22⋊D79—44no—
675C22⋊D79—82no—
676C22⋊D79—82no—
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—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—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—44no—
717C2×Dic79—82no—
718C2×Dic79—82no—
719D316—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725C4×D79—82no—
726C4×D79—82no—
727C4×D79—82no—
728C4×D79—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79C22×#4111yescharacteristic
751C22×C79C2×H(5,𝔽2)11yescharacteristic
752C22×C79C2×H(5,𝔽2)11yescharacteristic
753C22×C79C2×H(5,𝔽2)11yescharacteristic
754C22×C79C2×H(5,𝔽2)11yescharacteristic
755C22×C79C2×2−1+411yescharacteristic
756C22×C79#58511yescharacteristic
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—22no—
765C2×D79—22no—
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—416no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—88no—
779C2×D79#53914yes—
780C4×C79—22no—
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—
791C4×C79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805#36775—791nomaximal, Sylow
806C2×C79—42no—
807C2×C79—42no—
808C2×C79—81no—
809C2×C79C2×#53911yescharacteristic
810C2×C79#349011yescharacteristic
811C2×C79#350511yescharacteristic
812C2×C79#353211yescharacteristic
813C2×C79#353411yescharacteristic
814C2×C79#353511yescharacteristic
815C2×C79#353611yescharacteristic
816D79—24no—
817D79—42no—
818D79—42no—
819#2849—791no—
820#2848—791no—
821#2782—791no—
822#2750—791no—
823#2746—791no—
824#2746—791no—
825#2743—791no—
826#2728—791no—
827#2708—791no—
828#2708—791no—
829#2706—791no—
830#2696—791no—
831#2695—791no—
832#2693—791no—
833#2693—791no—
834#2691—791no—
835#2687—791no—
836#2681D7911yescharacteristic, complemented
837#2646—791no—
838#2643—791no—
839#2505—791no—
840#2480—791no—
841#2450—791no—
842#2437—791no—
843#2418—791no—
844#2412—791no—
845#2410—791no—
846#2405—791no—
847#2321—791no—
848#2315—791no—
849C2×#386—791no—
850C79#3677511yescharacteristic, complemented, Sylow
851C23×D4—791no—
852C24×C4—791no—
853C2×#126—791no—
854C2×#123—791no—
855C2×#123—791no—
856C2×#123—791no—
857C2×#123—791no—
858C2×#123—791no—
859C2×#123C2×D7911yescharacteristic, complemented
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8C2×D7911yescharacteristic, complemented
863C2×C22⋊Q8C2×D7911yescharacteristic, complemented
864C2×#121—791no—
865C2×#121C2×D7911yescharacteristic
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872C22×C22⋊C4—791no—
873C22×C22⋊C4—791no—
874#401—791no—
875#400—791no—
876#400—791no—
877#400—791no—
878#400—791no—
879#400—791no—
880#400—791no—
881#400—791no—
882#400—791no—
883#400—791no—
884#400—791no—
885#400—791no—
886#399—791no—
887#399—791no—
888#398—791no—
889#398—791no—
890#398—791no—
891#398—791no—
892#398—791no—
893#398C2×D7911yescharacteristic, complemented
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#396C2×D7911yescharacteristic, complemented
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394C2×D7911yescharacteristic
916#394C2×D7911yescharacteristic, complemented
917#394C2×D7911yescharacteristic, complemented
918#393—791no—
919#393C2×D7911yescharacteristic, complemented
920#392—791no—
921#392—791no—
922#391—791no—
923#390—791no—
924#390C2×D7911yescharacteristic, complemented
925#389C2×D7911yescharacteristic, complemented
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388C2×D7911yescharacteristic, complemented
935#387—791no—
936#387—791no—
937#387—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386C2×D7911yescharacteristic
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#385—791no—
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#385—791no—
981#385—791no—
982#385—791no—
983#385C2×D7911yescharacteristic, complemented
984#382—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#379—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C22⋊C4—791no—
1004C2×#95—791no—
1005C2×#95—791no—
1006C25—791no—
1007C25—791no—
1008C22×Q8C22×D7911yescharacteristic
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—1584no—
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
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×C4—791no—
1031C23×C4—791no—
1032C23×C4—791no—
1033C23×C4—791no—
1034C23×C4—791no—
1035C23×C4—791no—
1036C23×C4C22×D7911yescharacteristic
1037C23×C4C22×D7911yescharacteristic
1038#126—3162no—
1039#123—42no—
1040#123—3162no—
1041#123—3162no—
1042#123—3162no—
1043#123—3162no—
1044#123—3162no—
1045C22⋊Q8—42no—
1046C22⋊Q8—42no—
1047C22⋊Q8—3162no—
1048C22⋊Q8—3162no—
1049#121—42no—
1050#121—3162no—
1051#120—3162no—
1052#120—1584no—
1053C4×D4—3162no—
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×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C4⋊C4C22×D7911yescharacteristic
1083C2×C4⋊C4C22×D7911yescharacteristic
1084C2×C22⋊C4—3162no—
1085C2×C22⋊C4—3162no—
1086C2×C22⋊C4—3162no—
1087C2×C22⋊C4—3162no—
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—1584no—
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
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×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42C22×D7911yescharacteristic
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#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#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186#95C22×D7911yescharacteristic
1187#95C22×D7911yescharacteristic
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—3161no—
1192C24—3161no—
1193C24—3161no—
1194C24—794no—
1195C24—791no—
1196C24—791no—
1197C24—791no—
1198C24—1582no—
1199C24—1582no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24—1582no—
1204C24—1582no—
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—3161no—
1221C2×D4—31616no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—1582no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
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—3161no—
1263C22×C4—31616no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4—1582no—
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C22×C4C23×D7911yescharacteristic
1305C22×C4C23×D7911yescharacteristic
1306C22×C4C23×D7911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—1582no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
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—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
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—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C42—41no—
1390C42—3161no—
1391C42—3161no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—3164no—
1412C23—3164no—
1413C23—3164no—
1414C23—3164no—
1415C23—3164no—
1416C23—3164no—
1417C23—3164no—
1418C23—3164no—
1419C23—792no—
1420C23—792no—
1421C23—792no—
1422C23—792no—
1423C23—792no—
1424C23—6322no—
1425C23—6322no—
1426C23—6322no—
1427C23—6322no—
1428C23—1588no—
1429C23—1588no—
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—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23#41×D7912yes—
1447C23#1457920612yes—
1448C23C24×D7911yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3164no—
1454D4—3164no—
1455D4—3164no—
1456D4—3164no—
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—44no—
1495C2×C4—82no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—3164no—
1501C2×C4—3164no—
1502C2×C4—6322no—
1503C2×C4—6322no—
1504C2×C4—6322no—
1505C2×C4—6322no—
1506C2×C4—6322no—
1507C2×C4—6322no—
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×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4#1457920612yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—31616no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—794no—
1579C22—6328no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22—1582no—
1591C22—1582no—
1592C22C2×#41×D7911yescharacteristic
1593C22H(5,𝔽2)×D7911yescharacteristic
1594C22H(5,𝔽2)×D7911yescharacteristic
1595C22C2×#1457920611yescharacteristic
1596C22C2×#1457920611yescharacteristic
1597C222−1+4×D7911yescharacteristic
1598C22#1909940011yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—3161no—
1622C4—3161no—
1623C4—3161no—
1624C2—42no—
1625C2—42no—
1626C2—81no—
1627C2—3162no—
1628C2—3162no—
1629C2—1584no—
1630C2#539×D7911yescharacteristic
1631C2#2377708211yescharacteristic
1632C2#2377723611yescharacteristic
1633C2#2377755011yescharacteristic
1634C2#2377759211yescharacteristic
1635C2#2377759911yescharacteristic
1636C2#2377761811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2681C2
prime radical#23766771C2
hypercenter#2681D79
hypocenterC79#36775
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. #23771689C2semidirect
2. #23771684C2semidirect
3. #23771075C2semidirect
4. #23770640C2semidirect
5. #23770588C2semidirect
6. #23770583C2semidirect
7. #23770540C2semidirect
8. #23770367C2semidirect
9. #23770120C2semidirect
10. #23770112C2semidirect
11. #23770093C2semidirect
12. #23769955C2semidirect
13. #23769936C2semidirect
14. #23769912C2semidirect
15. #23769905C2semidirect
16. #23769882C2semidirect
17. #23769817C2semidirect
18. #23769369C2semidirect
19. #23769357C2semidirect
20. #23767906C2semidirect
21. #23767650C2semidirect
22. #23767217C2semidirect
23. #23767063C2semidirect
24. #23766857C2semidirect
25. #23766791C2semidirect
27. #23766722C2semidirect
28. #23766059C2semidirect
29. #23766011C2semidirect
30. #386×D79C2semidirect
31. C79×#2681C2semidirect
34. C2×#14579155C22semidirect
36. C2×#14579145C22semidirect
38. C2×#14579143C22semidirect
39. C2×#14579142C22semidirect
41. C2×#14579137C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098504C22semidirect
55. #19098504C22semidirect
56. #19098502C22semidirect
57. #19098502C22semidirect
58. #19098501C22semidirect
59. #19098501C22semidirect
60. #19098501C22semidirect
61. #19098501C22semidirect
62. #19098501C22semidirect
63. #19098499C22semidirect
64. #19098498C22semidirect
65. #19098497C22semidirect
66. #19098496C22semidirect
67. #19098496C22semidirect
68. #19098494C22semidirect
69. #19098493C22semidirect
70. #19098492C22semidirect
71. #19098491C22semidirect
72. #19098491C22semidirect
73. #19098491C22semidirect
74. #19098491C22semidirect
75. #19098491C22semidirect
76. #19098490C22semidirect
77. #19098489C22semidirect
78. #19098488C22semidirect
79. #19098486C22semidirect
80. #19098486C22semidirect
81. #19098485C22semidirect
82. #19098485C22semidirect
87. #19098478C22semidirect
89. #19098477C22semidirect
90. #19098474C22semidirect
93. #19098470C22semidirect
94. #19098463C22semidirect
95. #19098457C22semidirect
96. #19098457C22semidirect
97. #19098457C22semidirect
98. #19098456C22semidirect
99. #19098454C22semidirect
100. #19098453C22semidirect
101. #19098453C22semidirect
102. #19098452C22semidirect
103. #19098448C22semidirect
104. #19098448C22semidirect
105. #19098447C22semidirect
108. #19098443C22semidirect
109. #19098443C22semidirect
116. #19098440C22semidirect
124. #19098439C22semidirect
125. #19098439C22semidirect
126. #19098439C22semidirect
127. #19098438C22semidirect
128. #19098438C22semidirect
129. #19098438C22semidirect
133. #19098436C22semidirect
134. #19098436C22semidirect
135. #19098435C22semidirect
136. #19098435C22semidirect
137. #19098435C22semidirect
145. #19098434C22semidirect
146. #19098434C22semidirect
147. #19098434C22semidirect
148. #19098434C22semidirect
149. #19098434C22semidirect
150. #19098427C22semidirect
151. #19098426C22semidirect
152. #19098425C22semidirect
153. #19098424C22semidirect
154. #19098423C22semidirect
156. #19098422C22semidirect
157. #19098422C22semidirect
158. #19098421C22semidirect
159. #19098421C22semidirect
162. #19098420C22semidirect
163. #19098420C22semidirect
164. #19098420C22semidirect
172. C2×#123×C79C22semidirect
173. C2×C22⋊Q8×C79C22semidirect
174. C2×C22⋊Q8×C79C22semidirect
176. #398×C79C22semidirect
177. #396×C79C22semidirect
179. #394×C79C22semidirect
180. #394×C79C22semidirect
181. #393×C79C22semidirect
182. #390×C79C22semidirect
183. #389×C79C22semidirect
184. #388×C79C22semidirect
186. #385×C79C22semidirect
836. #2681D79semidirect
850. C79#36775semidirect
859. C2×#123C2×D79semidirect
862. C2×C22⋊Q8C2×D79semidirect
863. C2×C22⋊Q8C2×D79semidirect
893. #398C2×D79semidirect
907. #396C2×D79semidirect
916. #394C2×D79semidirect
917. #394C2×D79semidirect
919. #393C2×D79semidirect
924. #390C2×D79semidirect
925. #389C2×D79semidirect
934. #388C2×D79semidirect
983. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716892
#237716842
#237710752
#237706402
#237705882
#237705832
#237705402
#237703672
#237701202
#237701122
#237700932
#237699552
#237699362
#237699122
#237699052
#237698822
#237698172
#237693692
#237693572
#237679062
#237676502
#237672172
#237670632
#237668572
#237667912
#237667712
#237667222
#237660592
#237660112
#386×D792
C79×#26812
#3677579