Finite Group Databasebeta

← #34502062

Subgroups — #34502062

Order 20224.

2502 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099123C211yesmaximal, characteristic
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771730C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770257C211yesmaximal, characteristic, complemented
6#23770256C211yesmaximal, characteristic, complemented
7#23770253C211yesmaximal, characteristic, complemented
8#23770252C211yesmaximal, characteristic, complemented
9#23770248C211yesmaximal, characteristic, complemented
10#23770247C211yesmaximal, characteristic, complemented
11#23770244C211yesmaximal, characteristic, complemented
12#23770243C211yesmaximal, characteristic, complemented
13#23769796C211yesmaximal, characteristic, complemented
14#23769795C211yesmaximal, characteristic, complemented
15#23769792C211yesmaximal, characteristic, complemented
16#23769791C211yesmaximal, characteristic, complemented
17#23769790C211yesmaximal, characteristic, complemented
18#23769787C211yesmaximal, characteristic, complemented
19#23769786C211yesmaximal, characteristic, complemented
20#23769147C211yesmaximal, characteristic, complemented
21#23769141C211yesmaximal, characteristic, complemented
22#23768878C211yesmaximal, characteristic, complemented
23#23768874C211yesmaximal, characteristic, complemented
24#23767870C211yesmaximal, characteristic, complemented
25#23767866C211yesmaximal, characteristic, complemented
26#23766725C211yesmaximal, characteristic, complemented
27#23766725C211yesmaximal, characteristic, complemented
28#23766722C211yesmaximal, characteristic, complemented
29#23766722C211yesmaximal, characteristic, complemented
30#23765994C211yesmaximal, characteristic, complemented
31C79×#2685C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099123—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic, complemented
38C2×#14579155C2211yescharacteristic, complemented
39C2×#14579154C2211yescharacteristic, complemented
40C2×#14579154C2211yescharacteristic, complemented
41C2×#14579154C2211yescharacteristic, complemented
42#126×D79—28no—
43C2×#14579146C2211yescharacteristic, complemented
44C2×#14579146C2211yescharacteristic, complemented
45C2×#14579145C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579143C2211yescharacteristic, complemented
50C2×#14579143C2211yescharacteristic, complemented
51C2×#14579143C2211yescharacteristic, complemented
52C2×#14579143C2211yescharacteristic, complemented
53C2×#14579143C2211yescharacteristic, complemented
54C2×#14579142C2211yescharacteristic
55C2×#14579134C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579132C2211yescharacteristic
58C2×#14579132C2211yescharacteristic
59C2×#14579130C2211yescharacteristic
60C2×#14579129C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×C4⋊C4×D79C2211yescharacteristic, complemented
63C2×C4⋊C4×D79C2211yescharacteristic, complemented
64C2×C4⋊C4×D79C2211yescharacteristic, complemented
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C42×D79C2211yescharacteristic, complemented
69#19098505C2211yescharacteristic, complemented
70#19098504C2211yescharacteristic, complemented
71#19098503C2211yescharacteristic, complemented
72#19098502C2211yescharacteristic, complemented
73#19098500C2211yescharacteristic, complemented
74#19098499C2211yescharacteristic, complemented
75#19098499C2211yescharacteristic, complemented
76#19098499C2211yescharacteristic, complemented
77#19098499C2211yescharacteristic, complemented
78#19098499C2211yescharacteristic, complemented
79#19098498C2211yescharacteristic, complemented
80#19098497C2211yescharacteristic, complemented
81#19098496C2211yescharacteristic, complemented
82#19098495C2211yescharacteristic, complemented
83#19098493C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic, complemented
86#19098486C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic, complemented
89#19098485C2211yescharacteristic, complemented
90#19098485C2211yescharacteristic, complemented
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic, complemented
98#19098479C2211yescharacteristic, complemented
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098478C2211yescharacteristic
103#19098478C2211yescharacteristic
104#19098478C2211yescharacteristic
105#19098478C2211yescharacteristic, complemented
106#19098478C2211yescharacteristic, complemented
107#19098477C2211yescharacteristic
108#19098477C2211yescharacteristic
109#19098477C2211yescharacteristic, complemented
110#19098477C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic, complemented
112#19098466C2211yescharacteristic, complemented
113#19098463C2211yescharacteristic, complemented
114#19098463C2211yescharacteristic, complemented
115#19098463C2211yescharacteristic, complemented
116#19098463C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098461C2211yescharacteristic, complemented
119#19098460C2211yescharacteristic, complemented
120#19098458C2211yescharacteristic, complemented
121#19098457C2211yescharacteristic, complemented
122#19098457C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic, complemented
124#19098457C2211yescharacteristic, complemented
125#19098456C2211yescharacteristic, complemented
126#19098456C2211yescharacteristic, complemented
127#19098456C2211yescharacteristic, complemented
128#19098456C2211yescharacteristic, complemented
129#19098456C2211yescharacteristic, complemented
130#19098455C2211yescharacteristic, complemented
131#19098455C2211yescharacteristic, complemented
132#19098454C2211yescharacteristic, complemented
133#19098454C2211yescharacteristic, complemented
134#19098454C2211yescharacteristic, complemented
135#19098453C2211yescharacteristic, complemented
136#19098453C2211yescharacteristic, complemented
137#19098452C2211yescharacteristic, complemented
138#19098451C2211yescharacteristic, complemented
139#19098451C2211yescharacteristic, complemented
140#19098451C2211yescharacteristic, complemented
141#19098451C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic, complemented
143#19098441C2211yescharacteristic, complemented
144#19098439C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic, complemented
147#19098439C2211yescharacteristic, complemented
148#19098439C2211yescharacteristic, complemented
149#19098439C2211yescharacteristic, complemented
150#19098438C2211yescharacteristic, complemented
151#19098438C2211yescharacteristic, complemented
152#19098437C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic, complemented
154#19098435C2211yescharacteristic, complemented
155#19098435C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098433C2211yescharacteristic, complemented
159#19098432C2211yescharacteristic, complemented
160#19098432C2211yescharacteristic, complemented
161#19098432C2211yescharacteristic, complemented
162#19098422C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic, complemented
164#19098419C2211yescharacteristic, complemented
165#19098419C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
173#19098410C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic, complemented
175C2×#120×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic, complemented
177#396×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic, complemented
182#390×C79C2211yescharacteristic, complemented
183#390×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic, complemented
187#379×C79C2211yescharacteristic, complemented
188#379×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79—24no—
193C22×C22⋊D79—42no—
194C22×C22⋊D79—42no—
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C2×D4×D79—24no—
204C2×D4×D79—42no—
205C2×D4×D79—42no—
206C23×Dic79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214#14579156—24no—
215#14579156—24no—
216#14579156—24no—
217#14579155—24no—
218#14579154—24no—
219#14579154—24no—
220#14579154—24no—
221#14579146—42no—
222#14579146—42no—
223#14579145—24no—
224#14579143—24no—
225#14579143—24no—
226#14579143—42no—
227#14579143—42no—
228#14579143—42no—
229#14579143—42no—
230#14579143—42no—
231#14579143—42no—
232#14579142—24no—
233#14579134—24no—
234#14579134—24no—
235#14579132—24no—
236#14579132—24no—
237#14579130—24no—
238#14579129—24no—
239#14579129—24no—
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C4⋊C4×D79—24no—
271C4⋊C4×D79—24no—
272C4⋊C4×D79—24no—
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C22⋊C4×D79—24no—
319C22⋊C4×D79—24no—
320C22⋊C4×D79D418yes—
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C2×C4×Dic79C2311yescharacteristic
325C2×C4×Dic79C2311yescharacteristic
326C2×C4×Dic79C2311yescharacteristic
327C42×D79—24no—
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C25×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352#126×C79—24no—
353#120×C79—24no—
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C42×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79C2×D414yes—
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401C23×D79C2411yescharacteristic
402C2×D316—22no—
403C2×D316—22no—
404C2×D316—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—416no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430D4×D79—416no—
431C22×Dic79—22no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79C2×D414yes—
467C2×C4×D79C2×D414yes—
468C4⋊Dic79—22no—
469C4⋊Dic79—22no—
470C4⋊Dic79—22no—
471C4⋊Dic79—22no—
472C4⋊Dic79—22no—
473C4⋊Dic79—41no—
474C4⋊Dic79—41no—
475C4⋊Dic79—41no—
476C4⋊Dic79—41no—
477C4⋊Dic79—41no—
478C4⋊Dic79—41no—
479C4⋊Dic79—41no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4—41no—
491Dic79⋊C4—41no—
492Dic79⋊C4—41no—
493Dic79⋊C4—41no—
494Dic79⋊C4—41no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498C22⋊Dic79—22no—
499C22⋊Dic79—22no—
500C22⋊Dic79—22no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—41no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509C22⋊Dic79—41no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79C2×D414yes—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4C2×D414yes—
542(C2×D79)⋊C4C2×D414yes—
543C4×Dic79—22no—
544C4×Dic79—22no—
545C4×Dic79—22no—
546C4×Dic79—41no—
547C4×Dic79—41no—
548C4×Dic79—41no—
549C24×C79—22no—
550C24×C79—41no—
551C24×C79—41no—
552C24×C79—41no—
553C24×C79—41no—
554C24×C79—41no—
555C24×C79—41no—
556C24×C79C2411yescharacteristic
557C24×C79C2411yescharacteristic
558C24×C79C2411yescharacteristic
559C24×C79C2411yescharacteristic
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—22no—
563C2×D4×C79—41no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C2×D4×C79—41no—
567C2×D4×C79—41no—
568C2×D4×C79—41no—
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C4⋊C4×C79—22no—
581C4⋊C4×C79—22no—
582C4⋊C4×C79—22no—
583C4⋊C4×C79—41no—
584C4⋊C4×C79—41no—
585C4⋊C4×C79—41no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—22no—
588C22⋊C4×C79—22no—
589C22⋊C4×C79—22no—
590C22⋊C4×C79—41no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79—41no—
593C22⋊C4×C79—41no—
594C22⋊C4×C79—41no—
595C22⋊C4×C79—41no—
596C22⋊C4×C79—41no—
597C22⋊C4×C79—41no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79C2×D414yes—
605C42×C79—22no—
606C42×C79—41no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—44no—
635C23×C79—82no—
636C23×C79—82no—
637C23×C79—82no—
638C23×C79—82no—
639C23×C79—82no—
640C23×C79—82no—
641C23×C79C22×D412yes—
642C23×C79C2511yescharacteristic
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—28no—
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—44no—
662C22×D79—44no—
663C22×D79—44no—
664C22×D79—82no—
665C22×D79—82no—
666C22×D79—82no—
667C22×D79—82no—
668C22×D79—82no—
669C22×D79—82no—
670C22×D79—82no—
671C22×D79—82no—
672C22×D79—82no—
673C22×D79—82no—
674C22×D79C22×D412yes—
675C22×D79C22×D412yes—
676C22×D79H(5,𝔽2)12yes—
677C22×D79H(5,𝔽2)12yes—
678D4×C79—44no—
679D4×C79—82no—
680D4×C79—82no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79C22×D412yes—
713C2×C4×C79C22×D412yes—
714C22⋊D79—44no—
715C22⋊D79—44no—
716C22⋊D79—44no—
717C22⋊D79—44no—
718C22⋊D79—44no—
719C22⋊D79—44no—
720C22⋊D79—82no—
721C22⋊D79—82no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—44no—
760C2×Dic79C22×D412yes—
761C2×Dic79C22×D412yes—
762D316—44no—
763C4×D79—44no—
764C4×D79—44no—
765C4×D79—44no—
766C4×D79—44no—
767C4×D79—44no—
768C4×D79—44no—
769C4×D79—44no—
770C22×C79—22no—
771C22×C79—22no—
772C22×C79—22no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—88no—
799C22×C79C23×D411yescharacteristic
800C22×C79C2×H(5,𝔽2)11yescharacteristic
801C22×C79C2×H(5,𝔽2)11yescharacteristic
802C22×C79#58511yescharacteristic
803C22×C79#58511yescharacteristic
804C22×C79#58511yescharacteristic
805C22×C79#58511yescharacteristic
806C2×D79—22no—
807C2×D79—22no—
808C2×D79—22no—
809C2×D79—22no—
810C2×D79—22no—
811C2×D79—22no—
812C2×D79—22no—
813C2×D79—22no—
814C2×D79—22no—
815C2×D79—41no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—88no—
827C2×D79—88no—
828C2×D79#53514yes—
829C4×C79—22no—
830C4×C79—22no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840Dic79—22no—
841Dic79—22no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852Dic79—41no—
853#36969—791nomaximal, Sylow
854C2×C79—42no—
855C2×C79—81no—
856C2×C79—81no—
857C2×C79—81no—
858C2×C79C2×#53511yescharacteristic
859C2×C79#348511yescharacteristic
860C2×C79#348511yescharacteristic
861C2×C79#356011yescharacteristic
862C2×C79#356011yescharacteristic
863C2×C79#356011yescharacteristic
864C2×C79#356011yescharacteristic
865D79—24no—
866D79—42no—
867D79—81no—
868C2×#534—791no—
869C22×#126—791no—
870#2854—791no—
871#2854—791no—
872#2718—791no—
873#2718—791no—
874#2718—791no—
875#2718—791no—
876#2718—791no—
877#2718—791no—
878#2718—791no—
879#2718—791no—
880#2685—791no—
881#2685—791no—
882#2685—791no—
883#2685—791no—
884#2685—791no—
885#2685—791no—
886#2685—791no—
887#2685D7911yescharacteristic, complemented
888#2618—791no—
889#2618—791no—
890#2591—791no—
891#2591—791no—
892#2501—791no—
893#2501—791no—
894#2405—791no—
895#2405—791no—
896#2405—791no—
897#2405—791no—
898#2312—791no—
899C79#3696911yescharacteristic, complemented, Sylow
900C23×D4—791no—
901C23×D4—791no—
902#534—1588no—
903C2×#126—791no—
904C2×#126—791no—
905C2×#126—791no—
906C2×#126—791no—
907C2×#126—791no—
908C2×#126—791no—
909C2×#126—791no—
910C2×#126—1588no—
911C2×#126C2×D7911yescharacteristic, complemented
912C2×#123—791no—
913C2×#123—791no—
914C2×#123—791no—
915C2×#123—791no—
916C2×#123—791no—
917C2×#123—791no—
918C2×#123—791no—
919C2×#123—791no—
920C2×#123—791no—
921C2×#123—791no—
922C2×#123—791no—
923C2×#123—791no—
924C2×#121—791no—
925C2×#121—791no—
926C2×#121—791no—
927C2×#121—791no—
928C2×#120—791no—
929C2×#120—791no—
930C2×#120—791no—
931C2×#120C2×D7911yescharacteristic
932C22×C4⋊C4—791no—
933C22×C4⋊C4—791no—
934C22×C4⋊C4—791no—
935C22×C22⋊C4—791no—
936C22×C22⋊C4—791no—
937C22×C22⋊C4—791no—
938C22×C42—791no—
939#400—791no—
940#400—791no—
941#400—791no—
942#400—791no—
943#399—791no—
944#399—791no—
945#399—791no—
946#399—791no—
947#399—791no—
948#399—791no—
949#399—791no—
950#399C2×D7911yescharacteristic, complemented
951#398—791no—
952#398—791no—
953#398—791no—
954#398—791no—
955#396—791no—
956#396—791no—
957#396—791no—
958#396—791no—
959#396—791no—
960#396—791no—
961#396—791no—
962#396C2×D7911yescharacteristic, complemented
963#394—791no—
964#394—791no—
965#394—791no—
966#394—791no—
967#394—791no—
968#394—791no—
969#394—791no—
970#394—791no—
971#394—791no—
972#394—791no—
973#394—791no—
974#394—791no—
975#394—791no—
976#394—791no—
977#394—791no—
978#394—791no—
979#394—791no—
980#394—791no—
981#394—791no—
982#394—791no—
983#394C2×D7911yescharacteristic
984#394C2×D7911yescharacteristic
985#394C2×D7911yescharacteristic, complemented
986#394C2×D7911yescharacteristic, complemented
987#390—791no—
988#390—791no—
989#390—791no—
990#390—791no—
991#390—791no—
992#390—791no—
993#390C2×D7911yescharacteristic, complemented
994#390C2×D7911yescharacteristic, complemented
995#389—791no—
996#389—791no—
997#389—791no—
998#389—791no—
999#388—791no—
1000#388—791no—
1001#388—791no—
1002#388—791no—
1003#388—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388—791no—
1012#388—791no—
1013#388—791no—
1014#388—791no—
1015#388—791no—
1016#388—791no—
1017#388—791no—
1018#388—791no—
1019#388—791no—
1020#388C2×D7911yescharacteristic, complemented
1021#388C2×D7911yescharacteristic, complemented
1022#388C2×D7911yescharacteristic, complemented
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#385—791no—
1032#385—791no—
1033#385—791no—
1034#385—791no—
1035#385—791no—
1036#385—791no—
1037#385—791no—
1038#385—791no—
1039#384—791no—
1040#384—791no—
1041#384—791no—
1042#384—791no—
1043#380—791no—
1044#380—791no—
1045#379—791no—
1046#379—791no—
1047#379—791no—
1048#379—791no—
1049#379—791no—
1050#379—791no—
1051#379—791no—
1052#379—791no—
1053#379C2×D7911yescharacteristic, complemented
1054#379C2×D7911yescharacteristic, complemented
1055C4×C22⋊C4—791no—
1056C4×C22⋊C4—791no—
1057C25—791no—
1058C25—791no—
1059C25C22×D7911yescharacteristic
1060C22×D4—3162no—
1061C22×D4—3162no—
1062C22×D4—3162no—
1063C22×D4—3162no—
1064C22×D4—791no—
1065C22×D4—791no—
1066C22×D4—791no—
1067C22×D4—791no—
1068C22×D4—791no—
1069C22×D4—791no—
1070C22×D4—791no—
1071C22×D4—791no—
1072C22×D4—791no—
1073C22×D4—1584no—
1074C22×D4—1584no—
1075C22×D4C22×D7911yescharacteristic
1076C22×D4C22×D7911yescharacteristic
1077C22×D4C22×D7911yescharacteristic
1078C23×C4—791no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—791no—
1084C23×C4—791no—
1085C23×C4—791no—
1086#126—24no—
1087#126—1584no—
1088#126—1584no—
1089#126—1584no—
1090#126—1584no—
1091#126—1584no—
1092#126—1584no—
1093#126—1584no—
1094#123—3162no—
1095#123—3162no—
1096#123—3162no—
1097#123—3162no—
1098#123—3162no—
1099#123—3162no—
1100#123—3162no—
1101#123—3162no—
1102#123—1584no—
1103#123—1584no—
1104#123—1584no—
1105#123—1584no—
1106#121—1584no—
1107#121—1584no—
1108#121—1584no—
1109#121—1584no—
1110#120—24no—
1111#120—1584no—
1112#120—1584no—
1113#120—1584no—
1114C2×C4⋊C4—791no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
1120C2×C4⋊C4—791no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—791no—
1130C2×C4⋊C4—791no—
1131C2×C4⋊C4—791no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4—791no—
1139C2×C4⋊C4—791no—
1140C2×C4⋊C4—791no—
1141C2×C4⋊C4—791no—
1142C2×C4⋊C4—791no—
1143C2×C4⋊C4—791no—
1144C2×C4⋊C4—1584no—
1145C2×C4⋊C4—1584no—
1146C2×C4⋊C4—1584no—
1147C2×C4⋊C4C22×D7911yescharacteristic
1148C2×C4⋊C4C22×D7911yescharacteristic
1149C2×C4⋊C4C22×D7911yescharacteristic
1150C2×C4⋊C4C22×D7911yescharacteristic
1151C2×C4⋊C4C22×D7911yescharacteristic
1152C2×C4⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—798no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—1584no—
1200C2×C22⋊C4—1584no—
1201C2×C22⋊C4C22×D7911yescharacteristic
1202C2×C22⋊C4C22×D7911yescharacteristic
1203C2×C22⋊C4C22×D7911yescharacteristic
1204C2×C22⋊C4C22×D7911yescharacteristic
1205C2×C22⋊C4C22×D7911yescharacteristic
1206C2×C22⋊C4C22×D7911yescharacteristic
1207C2×C22⋊C4C22×D7911yescharacteristic
1208C2×C22⋊C4C22×D7911yescharacteristic
1209C2×C22⋊C4C22×D7911yescharacteristic
1210C2×C22⋊C4C22×D7911yescharacteristic
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C22⋊C4C22×D7911yescharacteristic
1215C2×C22⋊C4C22×D7911yescharacteristic
1216C2×C22⋊C4C22×D7911yescharacteristic
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C22⋊C4C22×D7911yescharacteristic
1220C2×C42—791no—
1221C2×C42—791no—
1222C2×C42—791no—
1223C2×C42—791no—
1224C2×C42—791no—
1225C2×C42—791no—
1226C2×C42—1584no—
1227C2×C42C22×D7911yescharacteristic
1228C2×C42C22×D7911yescharacteristic
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252#95C22×D7911yescharacteristic
1253C24—22no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—41no—
1260C24—3161no—
1261C24—3161no—
1262C24—3161no—
1263C24—3161no—
1264C24—3161no—
1265C24—3161no—
1266C24—3161no—
1267C24—3161no—
1268C24—3161no—
1269C24—3161no—
1270C24—794no—
1271C24—791no—
1272C24—791no—
1273C24—791no—
1274C24—1582no—
1275C24—1582no—
1276C24—1582no—
1277C24C23×D7911yescharacteristic
1278C24C23×D7911yescharacteristic
1279C24C23×D7911yescharacteristic
1280C24C23×D7911yescharacteristic
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—31616no—
1291C2×D4—31616no—
1292C2×D4—3161no—
1293C2×D4—3161no—
1294C2×D4—3161no—
1295C2×D4—3161no—
1296C2×D4—3161no—
1297C2×D4—3161no—
1298C2×D4—3161no—
1299C2×D4—3161no—
1300C2×D4—3161no—
1301C2×D4—3161no—
1302C2×D4—1582no—
1303C2×D4—1582no—
1304C2×D4—1582no—
1305C2×D4—1582no—
1306C2×D4—1582no—
1307C2×D4—1582no—
1308C2×D4—1582no—
1309C2×D4—1582no—
1310C2×D4—1582no—
1311C2×D4—1582no—
1312C2×D4—1582no—
1313C2×D4—1582no—
1314C2×D4—1582no—
1315C2×D4—1582no—
1316C2×D4—1582no—
1317C2×D4—1582no—
1318C2×D4—1582no—
1319C22×C4—3161no—
1320C22×C4—3161no—
1321C22×C4—3161no—
1322C22×C4—3161no—
1323C22×C4—3161no—
1324C22×C4—3161no—
1325C22×C4—3161no—
1326C22×C4—3161no—
1327C22×C4—3161no—
1328C22×C4—3161no—
1329C22×C4—3161no—
1330C22×C4—3161no—
1331C22×C4—794no—
1332C22×C4—794no—
1333C22×C4—791no—
1334C22×C4—791no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—791no—
1341C22×C4—791no—
1342C22×C4—791no—
1343C22×C4—791no—
1344C22×C4—791no—
1345C22×C4—791no—
1346C22×C4—1582no—
1347C22×C4—1582no—
1348C22×C4—1582no—
1349C22×C4—1582no—
1350C22×C4—1582no—
1351C22×C4—1582no—
1352C22×C4—1582no—
1353C22×C4—1582no—
1354C22×C4—1582no—
1355C22×C4—1582no—
1356C22×C4C23×D7911yescharacteristic
1357C22×C4C23×D7911yescharacteristic
1358C22×C4C23×D7911yescharacteristic
1359C22×C4C23×D7911yescharacteristic
1360C22×C4C23×D7911yescharacteristic
1361C22×C4C23×D7911yescharacteristic
1362C22×C4C23×D7911yescharacteristic
1363C22×C4C23×D7911yescharacteristic
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7911yescharacteristic
1366C22×C4C23×D7911yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—3161no—
1374C4⋊C4—3161no—
1375C4⋊C4—3161no—
1376C4⋊C4—3161no—
1377C4⋊C4—3161no—
1378C4⋊C4—3161no—
1379C4⋊C4—3161no—
1380C4⋊C4—3161no—
1381C4⋊C4—3161no—
1382C4⋊C4—3161no—
1383C4⋊C4—3161no—
1384C4⋊C4—3161no—
1385C4⋊C4—3161no—
1386C4⋊C4—3161no—
1387C4⋊C4—3161no—
1388C4⋊C4—3161no—
1389C4⋊C4—3161no—
1390C4⋊C4—1582no—
1391C4⋊C4—1582no—
1392C4⋊C4—1582no—
1393C4⋊C4—1582no—
1394C4⋊C4—1582no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—3161no—
1422C22⋊C4—3161no—
1423C22⋊C4—3161no—
1424C22⋊C4—3161no—
1425C22⋊C4—3161no—
1426C22⋊C4—3161no—
1427C22⋊C4—3161no—
1428C22⋊C4—3161no—
1429C22⋊C4—3161no—
1430C22⋊C4—3161no—
1431C22⋊C4—3161no—
1432C22⋊C4—3161no—
1433C22⋊C4—3161no—
1434C22⋊C4—3161no—
1435C22⋊C4—3161no—
1436C22⋊C4—3161no—
1437C22⋊C4—3161no—
1438C22⋊C4—3161no—
1439C22⋊C4—3161no—
1440C22⋊C4—3161no—
1441C22⋊C4—3161no—
1442C22⋊C4—3161no—
1443C22⋊C4—3161no—
1444C22⋊C4—3161no—
1445C22⋊C4—3161no—
1446C22⋊C4—3161no—
1447C22⋊C4—794no—
1448C22⋊C4—794no—
1449C22⋊C4—794no—
1450C22⋊C4—1582no—
1451C22⋊C4—1582no—
1452C22⋊C4—1582no—
1453C22⋊C4—1582no—
1454C22⋊C4—1582no—
1455C22⋊C4—1582no—
1456C22⋊C4—1582no—
1457C22⋊C4—1582no—
1458C22⋊C4—1582no—
1459C22⋊C4—1582no—
1460C22⋊C4—1582no—
1461C22⋊C4—1582no—
1462C22⋊C4—1582no—
1463C22⋊C4—1582no—
1464C22⋊C4—1582no—
1465C22⋊C4—1582no—
1466C22⋊C4D4×D7914yes—
1467C42—22no—
1468C42—41no—
1469C42—3161no—
1470C42—3161no—
1471C42—3161no—
1472C42—1582no—
1473C42—1582no—
1474C42—1582no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—44no—
1503C23—82no—
1504C23—82no—
1505C23—82no—
1506C23—82no—
1507C23—82no—
1508C23—82no—
1509C23—3164no—
1510C23—3164no—
1511C23—3164no—
1512C23—792no—
1513C23—792no—
1514C23—792no—
1515C23—792no—
1516C23—6322no—
1517C23—6322no—
1518C23—6322no—
1519C23—6322no—
1520C23—6322no—
1521C23—6322no—
1522C23—6322no—
1523C23—6322no—
1524C23—6322no—
1525C23—6322no—
1526C23—1588no—
1527C23—1581no—
1528C23—1581no—
1529C23—1581no—
1530C23—1581no—
1531C23—1581no—
1532C23—1581no—
1533C23—1581no—
1534C23—1581no—
1535C23—1581no—
1536C23—1581no—
1537C23—1581no—
1538C23—1581no—
1539C23—1581no—
1540C23—1581no—
1541C23—1581no—
1542C23—1581no—
1543C23—1581no—
1544C23C2×D4×D7912yes—
1545C23C24×D7911yescharacteristic
1546D4—44no—
1547D4—82no—
1548D4—82no—
1549D4—3164no—
1550D4—3164no—
1551D4—3164no—
1552D4—3164no—
1553D4—3164no—
1554D4—3164no—
1555D4—3164no—
1556D4—6322no—
1557D4—6322no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—3164no—
1590C2×C4—3164no—
1591C2×C4—3164no—
1592C2×C4—3164no—
1593C2×C4—3164no—
1594C2×C4—3164no—
1595C2×C4—3164no—
1596C2×C4—3164no—
1597C2×C4—792no—
1598C2×C4—792no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4—1581no—
1610C2×C4—1581no—
1611C2×C4—1581no—
1612C2×C4—1581no—
1613C2×C4—1581no—
1614C2×C4—1581no—
1615C2×C4—1581no—
1616C2×C4—1581no—
1617C2×C4—1581no—
1618C2×C4—1581no—
1619C2×C4—1581no—
1620C2×C4—1581no—
1621C2×C4—1581no—
1622C2×C4—1581no—
1623C2×C4—1581no—
1624C2×C4—1581no—
1625C2×C4—1581no—
1626C2×C4—1581no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4—1581no—
1636C2×C4C2×D4×D7912yes—
1637C2×C4C2×D4×D7912yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—88no—
1667C22—3161no—
1668C22—3161no—
1669C22—3161no—
1670C22—3161no—
1671C22—3161no—
1672C22—3161no—
1673C22—3161no—
1674C22—3161no—
1675C22—3161no—
1676C22—3161no—
1677C22—3161no—
1678C22—794no—
1679C22—6328no—
1680C22—6328no—
1681C22—1582no—
1682C22—1582no—
1683C22—1582no—
1684C22—1582no—
1685C22—1582no—
1686C22—1582no—
1687C22—1582no—
1688C22—1582no—
1689C22—1582no—
1690C22C22×D4×D7911yescharacteristic
1691C22H(5,𝔽2)×D7911yescharacteristic
1692C22H(5,𝔽2)×D7911yescharacteristic
1693C22#1909939811yescharacteristic
1694C22#1909939811yescharacteristic
1695C22#1909939911yescharacteristic
1696C22#1909939911yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—3161no—
1709C4—3161no—
1710C4—3161no—
1711C4—3161no—
1712C4—3161no—
1713C4—3161no—
1714C4—3161no—
1715C4—3161no—
1716C4—3161no—
1717C4—3161no—
1718C4—3161no—
1719C4—1582no—
1720C4—1582no—
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—81no—
1725C2—3162no—
1726C2—6321no—
1727C2—1584no—
1728C2#535×D7911yescharacteristic
1729C2#2377703711yescharacteristic
1730C2#2377703711yescharacteristic
1731C2#2377794111yescharacteristic
1732C2#2377794511yescharacteristic
1733C2#2377794711yescharacteristic
1734C2#2377795011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2685C2
prime radicalC2×#19099123C2
hypercenter#2685D79
hypocenterC79#36969
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
2. C2×#126×D79C2semidirect
3. #23771730C2semidirect
4. #23771727C2semidirect
5. #23770257C2semidirect
6. #23770256C2semidirect
7. #23770253C2semidirect
8. #23770252C2semidirect
9. #23770248C2semidirect
10. #23770247C2semidirect
11. #23770244C2semidirect
12. #23770243C2semidirect
13. #23769796C2semidirect
14. #23769795C2semidirect
15. #23769792C2semidirect
16. #23769791C2semidirect
17. #23769790C2semidirect
18. #23769787C2semidirect
19. #23769786C2semidirect
20. #23769147C2semidirect
21. #23769141C2semidirect
22. #23768878C2semidirect
23. #23768874C2semidirect
24. #23767870C2semidirect
25. #23767866C2semidirect
26. #23766725C2semidirect
27. #23766725C2semidirect
28. #23766722C2semidirect
29. #23766722C2semidirect
30. #23765994C2semidirect
31. C79×#2685C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579156C22semidirect
37. C2×#14579156C22semidirect
38. C2×#14579155C22semidirect
39. C2×#14579154C22semidirect
40. C2×#14579154C22semidirect
41. C2×#14579154C22semidirect
43. C2×#14579146C22semidirect
44. C2×#14579146C22semidirect
48. C2×#14579143C22semidirect
49. C2×#14579143C22semidirect
50. C2×#14579143C22semidirect
51. C2×#14579143C22semidirect
52. C2×#14579143C22semidirect
53. C2×#14579143C22semidirect
62. C2×C4⋊C4×D79C22semidirect
63. C2×C4⋊C4×D79C22semidirect
64. C2×C4⋊C4×D79C22semidirect
68. C2×C42×D79C22semidirect
69. #19098505C22semidirect
70. #19098504C22semidirect
71. #19098503C22semidirect
72. #19098502C22semidirect
73. #19098500C22semidirect
74. #19098499C22semidirect
75. #19098499C22semidirect
76. #19098499C22semidirect
77. #19098499C22semidirect
78. #19098499C22semidirect
79. #19098498C22semidirect
80. #19098497C22semidirect
81. #19098496C22semidirect
82. #19098495C22semidirect
83. #19098493C22semidirect
84. #19098486C22semidirect
85. #19098486C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098486C22semidirect
89. #19098485C22semidirect
90. #19098485C22semidirect
97. #19098479C22semidirect
98. #19098479C22semidirect
105. #19098478C22semidirect
106. #19098478C22semidirect
109. #19098477C22semidirect
110. #19098477C22semidirect
111. #19098466C22semidirect
112. #19098466C22semidirect
113. #19098463C22semidirect
114. #19098463C22semidirect
115. #19098463C22semidirect
116. #19098463C22semidirect
117. #19098462C22semidirect
118. #19098461C22semidirect
119. #19098460C22semidirect
120. #19098458C22semidirect
121. #19098457C22semidirect
122. #19098457C22semidirect
123. #19098457C22semidirect
124. #19098457C22semidirect
125. #19098456C22semidirect
126. #19098456C22semidirect
127. #19098456C22semidirect
128. #19098456C22semidirect
129. #19098456C22semidirect
130. #19098455C22semidirect
131. #19098455C22semidirect
132. #19098454C22semidirect
133. #19098454C22semidirect
134. #19098454C22semidirect
135. #19098453C22semidirect
136. #19098453C22semidirect
137. #19098452C22semidirect
138. #19098451C22semidirect
139. #19098451C22semidirect
140. #19098451C22semidirect
141. #19098451C22semidirect
142. #19098441C22semidirect
143. #19098441C22semidirect
144. #19098439C22semidirect
145. #19098439C22semidirect
146. #19098439C22semidirect
147. #19098439C22semidirect
148. #19098439C22semidirect
149. #19098439C22semidirect
150. #19098438C22semidirect
151. #19098438C22semidirect
152. #19098437C22semidirect
153. #19098437C22semidirect
154. #19098435C22semidirect
155. #19098435C22semidirect
156. #19098434C22semidirect
157. #19098434C22semidirect
158. #19098433C22semidirect
159. #19098432C22semidirect
160. #19098432C22semidirect
161. #19098432C22semidirect
162. #19098422C22semidirect
163. #19098420C22semidirect
164. #19098419C22semidirect
165. #19098419C22semidirect
168. #19098418C22semidirect
169. #19098418C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. C4×(C2×D79)⋊C4C22semidirect
173. #19098410C22semidirect
174. C2×#126×C79C22semidirect
176. #399×C79C22semidirect
177. #396×C79C22semidirect
180. #394×C79C22semidirect
181. #394×C79C22semidirect
182. #390×C79C22semidirect
183. #390×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
186. #388×C79C22semidirect
187. #379×C79C22semidirect
188. #379×C79C22semidirect
887. #2685D79semidirect
899. C79#36969semidirect
911. C2×#126C2×D79semidirect
950. #399C2×D79semidirect
962. #396C2×D79semidirect
985. #394C2×D79semidirect
986. #394C2×D79semidirect
993. #390C2×D79semidirect
994. #390C2×D79semidirect
1020. #388C2×D79semidirect
1021. #388C2×D79semidirect
1022. #388C2×D79semidirect
1053. #379C2×D79semidirect
1054. #379C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991232
C2×#126×D792
#237717302
#237717272
#237702572
#237702562
#237702532
#237702522
#237702482
#237702472
#237702442
#237702432
#237697962
#237697952
#237697922
#237697912
#237697902
#237697872
#237697862
#237691472
#237691412
#237688782
#237688742
#237678702
#237678662
#237667252
#237667222
#237659942
C79×#26852
#3696979