Finite Group Databasebeta

← #34453614

Subgroups — #34453614

Order 20224.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099200C211yesmaximal, characteristic
2#23766560C211yesmaximal, characteristic, complemented
3#23766551C211yesmaximal, characteristic, complemented
4#23766546C211yesmaximal, characteristic, complemented
5#23766507C211yesmaximal, characteristic, complemented
6#23766449C211yesmaximal, characteristic, complemented
7#23766435C211yesmaximal, characteristic, complemented
8#23766389C211yesmaximal, characteristic, complemented
9#23766381C211yesmaximal, characteristic, complemented
10#23766338C211yesmaximal, characteristic, complemented
11#23766335C211yesmaximal, characteristic, complemented
12#23766251C211yesmaximal, characteristic, complemented
13#23766244C211yesmaximal, characteristic, complemented
14#23766226C211yesmaximal, characteristic, complemented
15#23766216C211yesmaximal, characteristic, complemented
16#23766207C211yesmaximal, characteristic, complemented
17#23766183C211yesmaximal, characteristic, complemented
18#23766166C211yesmaximal, characteristic, complemented
19#23766150C211yesmaximal, characteristic, complemented
20#23766101C211yesmaximal, characteristic, complemented
21#23766070C211yesmaximal, characteristic, complemented
22#23766061C211yesmaximal, characteristic, complemented
23#23766056C211yesmaximal, characteristic, complemented
24#23766037C211yesmaximal, characteristic, complemented
25#23765996C211yesmaximal, characteristic, complemented
26#23765990C211yesmaximal, characteristic, complemented
27#23765976C211yesmaximal, characteristic, complemented
28#23765916C211yesmaximal, characteristic, complemented
29#23765842C211yesmaximal, characteristic, complemented
30#388×D79C211yesmaximal, characteristic, complemented
31C79×#2375C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C23×C22⋊D79C2211yescharacteristic
34#19099200C4116yescomplemented
35C2×#14579147C2211yescharacteristic
36C2×#14579145C2211yescharacteristic
37C2×#14579143C2211yescharacteristic
38C2×#14579138C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579132C2211yescharacteristic
42C2×#14579129C2211yescharacteristic
43C2×D4×Dic79C2211yescharacteristic
44C2×D4×Dic79C2211yescharacteristic, complemented
45C2×C4×C22⋊D79C2211yescharacteristic, complemented
46C2×(C22⋊D79)⋊C4C2211yescharacteristic
47C2×(C22⋊D79)⋊C4C2211yescharacteristic
48C2×(C22⋊D79)⋊C4C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
50C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
51C2×#14579118C2211yescharacteristic, complemented
52C2×#14579117C2211yescharacteristic, complemented
53C2×C4⋊C4×D79C2211yescharacteristic, complemented
54C22×C22⋊Dic79C2211yescharacteristic
55C22×C22⋊Dic79C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59C2×C22⋊C4×D79C2211yescharacteristic
60C2×C42×D79C2211yescharacteristic, complemented
61#19098469C2211yescharacteristic, complemented
62#19098468C2211yescharacteristic, complemented
63#19098467C2211yescharacteristic, complemented
64#19098467C2211yescharacteristic, complemented
65#19098466C2211yescharacteristic
66#19098466C2211yescharacteristic, complemented
67#19098463C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic, complemented
70#19098461C2211yescharacteristic, complemented
71#19098461C2211yescharacteristic, complemented
72#19098459C2211yescharacteristic, complemented
73#19098458C2211yescharacteristic, complemented
74#19098457C2211yescharacteristic
75#19098457C2211yescharacteristic
76#19098457C2211yescharacteristic, complemented
77#19098457C2211yescharacteristic, complemented
78#19098457C2211yescharacteristic, complemented
79#19098457C2211yescharacteristic, complemented
80#19098457C2211yescharacteristic, complemented
81#19098456C2211yescharacteristic
82#19098456C2211yescharacteristic
83#19098456C2211yescharacteristic, complemented
84#19098456C2211yescharacteristic, complemented
85#19098455C2211yescharacteristic, complemented
86#19098455C2211yescharacteristic, complemented
87#19098454C2211yescharacteristic, complemented
88#19098453C2211yescharacteristic, complemented
89#19098452C2211yescharacteristic, complemented
90#19098452C2211yescharacteristic, complemented
91#19098451C2211yescharacteristic
92#19098451C2211yescharacteristic
93#19098451C2211yescharacteristic
94#19098451C2211yescharacteristic
95#19098451C2211yescharacteristic
96#19098451C2211yescharacteristic
97#19098451C2211yescharacteristic, complemented
98#19098450C2211yescharacteristic, complemented
99#19098450C2211yescharacteristic, complemented
100#19098448C2211yescharacteristic, complemented
101#19098448C2211yescharacteristic, complemented
102#19098447C2211yescharacteristic, complemented
103#19098446C2211yescharacteristic, complemented
104#19098446C2211yescharacteristic, complemented
105#19098445C2211yescharacteristic, complemented
106#19098445C2211yescharacteristic, complemented
107#19098444C2211yescharacteristic, complemented
108#19098443C2211yescharacteristic
109#19098443C2211yescharacteristic, complemented
110#19098443C2211yescharacteristic, complemented
111#19098442C2211yescharacteristic, complemented
112#19098440C2211yescharacteristic
113#19098440C2211yescharacteristic
114#19098439C2211yescharacteristic
115#19098439C2211yescharacteristic
116#19098439C2211yescharacteristic
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#19098437C2211yescharacteristic, complemented
129#19098437C2211yescharacteristic, complemented
130#19098435C2211yescharacteristic, complemented
131#19098435C2211yescharacteristic, complemented
132#19098434C2211yescharacteristic, complemented
133#19098434C2211yescharacteristic, complemented
134#19098434C2211yescharacteristic, complemented
135#19098430C2211yescharacteristic, complemented
136#19098425C2211yescharacteristic, complemented
137#19098424C2211yescharacteristic
138#19098424C2211yescharacteristic
139#19098424C2211yescharacteristic, complemented
140#19098424C2211yescharacteristic, complemented
141#19098421C2211yescharacteristic
142#19098421C2211yescharacteristic, complemented
143#19098421C2211yescharacteristic, complemented
144#19098421C2211yescharacteristic, complemented
145#19098421C2211yescharacteristic, complemented
146#19098421C2211yescharacteristic, complemented
147#19098420C2211yescharacteristic, complemented
148#19098419C2211yescharacteristic
149#19098418C2211yescharacteristic
150C4⋊C4×Dic79C2211yescharacteristic, complemented
151C4⋊C4×Dic79C2211yescharacteristic, complemented
152C4×Dic79⋊C4C2211yescharacteristic, complemented
153C22⋊C4×Dic79C2211yescharacteristic
154C22⋊C4×Dic79C2211yescharacteristic, complemented
155C22⋊C4×Dic79C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic, complemented
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic79C2211yescharacteristic, complemented
165#19098410C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098409C2211yescharacteristic, complemented
169#19098408C2211yescharacteristic, complemented
170C2×C79⋊#95C2211yescharacteristic, complemented
171#95×D79C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C2×#120×C79C2211yescharacteristic
174#390×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic, complemented
176#390×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#379×C79C2211yescharacteristic
187#379×C79C2211yescharacteristic
188C24×D79C2311yescharacteristic
189C2×#11929623—42no—
190C2×#11929623—42no—
191C2×#11929623C2×C418yescomplemented
192C22×Dic158C2311yescharacteristic
193C22×C22⋊D79—42no—
194C22×C22⋊D79—42no—
195C22×C22⋊D79C2×C418yescomplemented
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217#14579147C2×C418yescomplemented
218#14579145C2×C418yescomplemented
219#14579143C2×C418yescomplemented
220#14579138C2×C418yescomplemented
221#14579133C2×C418yescomplemented
222#14579133C2×C418yescomplemented
223#14579132C2×C418yescomplemented
224#14579129C2×C418yescomplemented
225D4×Dic79—42no—
226D4×Dic79C2×C418yescomplemented
227C4×C22⋊D79—42no—
228(C22⋊D79)⋊C4—42no—
229(C22⋊D79)⋊C4—42no—
230(C22⋊D79)⋊C4—42no—
231(C22⋊D79)⋊C4—42no—
232(C22⋊D79)⋊C4C2×C418yescomplemented
233#14579118—42no—
234#14579117—42no—
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
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
252C4⋊C4×D79—42no—
253C2×C22⋊Dic79—42no—
254C2×C22⋊Dic79C2×C418yescomplemented
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
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
287C22⋊C4×D79—42no—
288C22⋊C4×D79—42no—
289C22⋊C4×D79—42no—
290C22⋊C4×D79C2×C418yescomplemented
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C42×D79—42no—
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C25×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345#120×C79C2×C418yescomplemented
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×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C42×C79C2311yescharacteristic
368C2×C42×C79C2311yescharacteristic
369C2×C42×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79C22×C414yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385#11929623—416no—
386C2×Dic158—41no—
387C2×Dic158—41no—
388C2×Dic158C22×C414yes—
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—416no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79C22×C414yes—
403C2×C22⋊D79C22×C414yes—
404C2×C22⋊D79C22×C414yes—
405C2×C22⋊D79C22×C414yes—
406C2×C22⋊D79C22×C414yes—
407C2×C22⋊D79C22×C414yes—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79C22×C414yes—
426C22×Dic79C22×C414yes—
427C22×Dic79C22×C414yes—
428C22×Dic79C22×C414yes—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
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×D79C22×C414yes—
466C2×C4×D79C22×C414yes—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470C4⋊Dic79C22×C414yes—
471C4⋊Dic79C22×C414yes—
472Dic79⋊C4—22no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4C22×C414yes—
483Dic79⋊C4C22×C414yes—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
497C22⋊Dic79C22×C414yes—
498C22⋊Dic79C22×C414yes—
499C22⋊Dic79C22×C414yes—
500C22⋊Dic79C22×C414yes—
501C22⋊Dic79C22×C414yes—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
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)⋊C4C22×C414yes—
513(C2×D79)⋊C4C22×C414yes—
514(C2×D79)⋊C4C22×C414yes—
515(C2×D79)⋊C4C22×C414yes—
516C4×Dic79—22no—
517C4×Dic79—22no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C4×Dic79—41no—
529C4×Dic79C22×C414yes—
530C24×C79—41no—
531C24×C79—41no—
532C24×C79—41no—
533C24×C79—41no—
534C24×C79—41no—
535C24×C79—41no—
536C24×C79C22×C414yes—
537C24×C79C2411yescharacteristic
538C24×C79C2411yescharacteristic
539C24×C79C2411yescharacteristic
540C24×C79C2411yescharacteristic
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79—41no—
546C2×D4×C79—41no—
547C2×D4×C79C22×C414yes—
548C2×D4×C79C22×C414yes—
549C2×D4×C79C22×C414yes—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
552C22×C4×C79—41no—
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×C79—41no—
581C22⋊C4×C79—41no—
582C22⋊C4×C79C22×C414yes—
583C22⋊C4×C79C22×C414yes—
584C22⋊C4×C79C22×C414yes—
585C42×C79—41no—
586C42×C79—41no—
587C42×C79—41no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—44no—
613C23×C79—44no—
614C23×C79—44no—
615C23×C79—82no—
616C23×C79—82no—
617C23×C79—82no—
618C23×C79—82no—
619C23×C79C23×C412yes—
620C23×C79C23×C412yes—
621C23×C79C23×C412yes—
622C23×C79C23×C412yes—
623C23×C79C2511yescharacteristic
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—28no—
635C22×D79—44no—
636C22×D79—44no—
637C22×D79—82no—
638C22×D79—82no—
639C22×D79—82no—
640C22×D79—82no—
641C22×D79C23×C412yes—
642C22×D79C23×C412yes—
643C22×D79H(5,𝔽2)12yes—
644C22×D79H(5,𝔽2)12yes—
645D4×C79—44no—
646D4×C79—44no—
647D4×C79—44no—
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—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—82no—
679C2×C4×C79C23×C412yes—
680C2×C4×C79C23×C412yes—
681C2×C4×C79C23×C412yes—
682C22⋊D79—28no—
683C22⋊D79—28no—
684C22⋊D79—28no—
685C22⋊D79—44no—
686C22⋊D79—44no—
687C22⋊D79—44no—
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—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—44no—
724C2×Dic79—44no—
725C2×Dic79—44no—
726C2×Dic79—44no—
727C2×Dic79—82no—
728C2×Dic79—82no—
729C2×Dic79—82no—
730C2×Dic79C23×C412yes—
731C2×Dic79C23×C412yes—
732C2×Dic79C23×C412yes—
733C2×Dic79C23×C412yes—
734C2×Dic79C23×C412yes—
735C2×Dic79C23×C412yes—
736C2×Dic79H(5,𝔽2)12yes—
737C4×D79—28no—
738C4×D79—44no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—82no—
742C4×D79—82no—
743C4×D79—82no—
744C4×D79—82no—
745Dic158—44no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—22no—
756C22×C79—22no—
757C22×C79—22no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79—41no—
774C22×C79—88no—
775C22×C79C24×C411yescharacteristic
776C22×C79C2×H(5,𝔽2)11yescharacteristic
777C22×C79C2×H(5,𝔽2)11yescharacteristic
778C22×C79C2×H(5,𝔽2)11yescharacteristic
779C22×C79#58511yescharacteristic
780C22×C79#58511yescharacteristic
781C22×C79#58511yescharacteristic
782C2×D79—22no—
783C2×D79—22no—
784C2×D79—22no—
785C2×D79—22no—
786C2×D79—22no—
787C2×D79—22no—
788C2×D79—22no—
789C2×D79—22no—
790C2×D79—22no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—88no—
796C2×D79#51814yes—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808Dic79—22no—
809Dic79—22no—
810Dic79—22no—
811Dic79—22no—
812Dic79—22no—
813Dic79—22no—
814Dic79—22no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822#34492—791nomaximal, Sylow
823C2×C79—42no—
824C2×C79—42no—
825C2×C79—42no—
826C2×C79—42no—
827C2×C79C2×#51811yescharacteristic
828C2×C79#342811yescharacteristic
829C2×C79C4×H(5,𝔽2)11yescharacteristic
830C2×C79#353411yescharacteristic
831C2×C79#354211yescharacteristic
832C2×C79#354511yescharacteristic
833C2×C79#356011yescharacteristic
834D79—24no—
835D79—42no—
836C2×#546—791no—
837#2378—791no—
838#2377—791no—
839#2376—791no—
840#2375D7911yescharacteristic, complemented
841#2372—791no—
842#2364—791no—
843#2363—791no—
844#2359—791no—
845#2358—791no—
846#2353—791no—
847#2353—791no—
848#2342—791no—
849#2342—791no—
850#2339—791no—
851D4×C22⋊C4—791no—
852#2337—791no—
853#2335—791no—
854#2333—791no—
855#2332—791no—
856#2325—791no—
857#2322—791no—
858#2321—791no—
859#2321—791no—
860#2319—791no—
861#2312—791no—
862#2311—791no—
863#2308—791no—
864C4×#121—791no—
865#2290—791no—
866C2×#388—791no—
867C79#3449211yescharacteristic, complemented, Sylow
868C22×#41—791no—
869C23×D4—791no—
870#546—7916no—
871C2×#124—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#120—791no—
879C2×#120C2×D7911yescharacteristic
880C2×C4×D4—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C2×C4×D4—791no—
884C2×C4×D4—791no—
885C2×C4×D4—791no—
886C2×C4×D4—791no—
887C2×C4×D4—791no—
888C2×#117—791no—
889C2×#117—791no—
890C22×C4⋊C4—791no—
891C22×C22⋊C4—791no—
892C22×C22⋊C4—791no—
893C22×C22⋊C4—791no—
894C22×C22⋊C4—791no—
895C22×C22⋊C4—791no—
896C22×C22⋊C4—791no—
897C22×C42—791no—
898#391—791no—
899#391—791no—
900#391—791no—
901#391—791no—
902#390—791no—
903#390—791no—
904#390—791no—
905#390—791no—
906#390—791no—
907#390C2×D7911yescharacteristic
908#390C2×D7911yescharacteristic, complemented
909#390C2×D7911yescharacteristic, complemented
910#389—791no—
911#389—791no—
912#389—791no—
913#389—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388—791no—
922#388—791no—
923#388—791no—
924#388—791no—
925#388—791no—
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#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388C2×D7911yescharacteristic
939#388C2×D7911yescharacteristic
940#388C2×D7911yescharacteristic, complemented
941#388C2×D7911yescharacteristic, complemented
942#388C2×D7911yescharacteristic, complemented
943#388C2×D7911yescharacteristic, complemented
944#387—791no—
945#387—791no—
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387—791no—
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#386—791no—
967#386—791no—
968#386—791no—
969#386—791no—
970#386—791no—
971#386—791no—
972#386—791no—
973#386C2×D7911yescharacteristic
974#386C2×D7911yescharacteristic, complemented
975#386C2×D7911yescharacteristic, complemented
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#383—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#381—791no—
989#381—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#379—791no—
998#379—791no—
999#379C2×D7911yescharacteristic
1000#379C2×D7911yescharacteristic
1001C4×C4⋊C4—791no—
1002C4×C4⋊C4—791no—
1003C4×C4⋊C4—791no—
1004C4×C22⋊C4—791no—
1005C4×C22⋊C4—791no—
1006C4×C22⋊C4—791no—
1007C4×C22⋊C4—791no—
1008C4×C22⋊C4—791no—
1009C4×C22⋊C4—791no—
1010C4×C22⋊C4—791no—
1011C4×C22⋊C4—791no—
1012C4×C22⋊C4—791no—
1013C4×C22⋊C4—791no—
1014C4×C22⋊C4—791no—
1015C4×C22⋊C4—791no—
1016C4×C22⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019#376—791no—
1020#376—791no—
1021C2×#95—791no—
1022C2×#95—791no—
1023C2×#95—791no—
1024C25—791no—
1025C25C22×D7911yescharacteristic
1026C2×#41—3162no—
1027C2×#41—3162no—
1028C2×#41—798no—
1029C22×Q8—791no—
1030C22×D4—3162no—
1031C22×D4—3162no—
1032C22×D4—798no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4C22×D7911yescharacteristic
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048C23×C4—791no—
1049C23×C4—791no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4C22×D7911yescharacteristic
1058#124—798no—
1059#123—798no—
1060#123—798no—
1061C22⋊Q8—798no—
1062#121—798no—
1063#121—798no—
1064#121—798no—
1065#120—798no—
1066#120C4×D7918yescomplemented
1067C4×D4—3162no—
1068C4×D4—3162no—
1069C4×D4—3162no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C4×D4—798no—
1074C4×D4—798no—
1075#117—3162no—
1076#117—3162no—
1077C2×C4⋊C4—3162no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—3162no—
1099C2×C22⋊C4—3162no—
1100C2×C22⋊C4—3162no—
1101C2×C22⋊C4—3162no—
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—798no—
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—798no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C42—3162no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42—791no—
1167C2×C42—791no—
1168C2×C42—791no—
1169C2×C42C22×D7911yescharacteristic
1170C2×C42C22×D7911yescharacteristic
1171C2×C42C22×D7911yescharacteristic
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#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—3161no—
1219C24—3161no—
1220C24—3161no—
1221C24—3161no—
1222C24—794no—
1223C24—791no—
1224C24—791no—
1225C24—1582no—
1226C24—1582no—
1227C24C2×C4×D7914yes—
1228C24C23×D7911yescharacteristic
1229C24C23×D7911yescharacteristic
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232#41—31616no—
1233C2×Q8—3161no—
1234C2×Q8—3161no—
1235C2×Q8—794no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—31616no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—794no—
1250C2×D4—794no—
1251C2×D4—794no—
1252C2×D4—794no—
1253C2×D4—794no—
1254C2×D4—794no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4C2×C4×D7914yes—
1262C2×D4C2×C4×D7914yes—
1263C2×D4C2×C4×D7914yes—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—794no—
1298C22×C4—794no—
1299C22×C4—794no—
1300C22×C4—794no—
1301C22×C4—794no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—794no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4C23×D7911yescharacteristic
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—3161no—
1341C4⋊C4—3161no—
1342C4⋊C4—3161no—
1343C4⋊C4—3161no—
1344C4⋊C4—3161no—
1345C4⋊C4—3161no—
1346C4⋊C4—3161no—
1347C4⋊C4—3161no—
1348C4⋊C4—3161no—
1349C4⋊C4—3161no—
1350C4⋊C4—3161no—
1351C4⋊C4—3161no—
1352C4⋊C4—794no—
1353C4⋊C4—794no—
1354C4⋊C4—794no—
1355C4⋊C4—794no—
1356C4⋊C4—1582no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—794no—
1389C22⋊C4—794no—
1390C22⋊C4—794no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4—794no—
1394C22⋊C4—794no—
1395C22⋊C4—794no—
1396C22⋊C4—794no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4C2×C4×D7914yes—
1405C22⋊C4C2×C4×D7914yes—
1406C22⋊C4C2×C4×D7914yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—3161no—
1411C42—3161no—
1412C42—3161no—
1413C42—3161no—
1414C42—3161no—
1415C42—3161no—
1416C42—3161no—
1417C42—3161no—
1418C42—3161no—
1419C42—3161no—
1420C42—3161no—
1421C42—794no—
1422C42—1582no—
1423C42—1582no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—3164no—
1456C23—3164no—
1457C23—792no—
1458C23—792no—
1459C23—792no—
1460C23—792no—
1461C23—6322no—
1462C23—6322no—
1463C23—6322no—
1464C23—6322no—
1465C23—1588no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23C22×C4×D7912yes—
1477C23C22×C4×D7912yes—
1478C23C22×C4×D7912yes—
1479C23C22×C4×D7912yes—
1480C23C24×D7911yescharacteristic
1481Q8—3164no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—3164no—
1486D4—3164no—
1487D4—3164no—
1488D4—1588no—
1489D4—1588no—
1490D4—1588no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—82no—
1522C2×C4—3164no—
1523C2×C4—3164no—
1524C2×C4—3164no—
1525C2×C4—3164no—
1526C2×C4—3164no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—792no—
1530C2×C4—792no—
1531C2×C4—792no—
1532C2×C4—792no—
1533C2×C4—792no—
1534C2×C4—792no—
1535C2×C4—792no—
1536C2×C4—6322no—
1537C2×C4—6322no—
1538C2×C4—6322no—
1539C2×C4—6322no—
1540C2×C4—6322no—
1541C2×C4—6322no—
1542C2×C4—6322no—
1543C2×C4—1588no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4C22×C4×D7912yes—
1580C2×C4C22×C4×D7912yes—
1581C2×C4C22×C4×D7912yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—88no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—794no—
1616C22—6328no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22—1582no—
1623C22—1582no—
1624C22—1582no—
1625C22—1582no—
1626C22C23×C4×D7911yescharacteristic
1627C22H(5,𝔽2)×D7911yescharacteristic
1628C22H(5,𝔽2)×D7911yescharacteristic
1629C22H(5,𝔽2)×D7911yescharacteristic
1630C22#1909939811yescharacteristic
1631C22#1909939811yescharacteristic
1632C22#1909939811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—3161no—
1651C4—1582no—
1652C4—1582no—
1653C4—1582no—
1654C4—1582no—
1655C4—1582no—
1656C4—1582no—
1657C4—1582no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—3162no—
1663C2—1584no—
1664C2#518×D7911yescharacteristic
1665C2#2377659811yescharacteristic
1666C2#2377660411yescharacteristic
1667C2#2377758111yescharacteristic
1668C2#2377770511yescharacteristic
1669C2#2377775511yescharacteristic
1670C2#2377795011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2375C2
socle, cosocleC23×C79C25
prime radicalC2×#19099200C2
hypercenter#2375D79
hypocenterC79#34492
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2375

Complements

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

NH ≅ G/Ntype
2. #23766560C2semidirect
3. #23766551C2semidirect
4. #23766546C2semidirect
5. #23766507C2semidirect
6. #23766449C2semidirect
7. #23766435C2semidirect
8. #23766389C2semidirect
9. #23766381C2semidirect
10. #23766338C2semidirect
11. #23766335C2semidirect
12. #23766251C2semidirect
13. #23766244C2semidirect
14. #23766226C2semidirect
15. #23766216C2semidirect
16. #23766207C2semidirect
17. #23766183C2semidirect
18. #23766166C2semidirect
19. #23766150C2semidirect
20. #23766101C2semidirect
21. #23766070C2semidirect
22. #23766061C2semidirect
23. #23766056C2semidirect
24. #23766037C2semidirect
25. #23765996C2semidirect
26. #23765990C2semidirect
27. #23765976C2semidirect
28. #23765916C2semidirect
29. #23765842C2semidirect
30. #388×D79C2semidirect
31. C79×#2375C2semidirect
34. #19099200C4semidirect
44. C2×D4×Dic79C22semidirect
45. C2×C4×C22⋊D79C22semidirect
49. C2×(C22⋊D79)⋊C4C22semidirect
50. C2×(C22⋊D79)⋊C4C22semidirect
51. C2×#14579118C22semidirect
52. C2×#14579117C22semidirect
53. C2×C4⋊C4×D79C22semidirect
60. C2×C42×D79C22semidirect
61. #19098469C22semidirect
62. #19098468C22semidirect
63. #19098467C22semidirect
64. #19098467C22semidirect
66. #19098466C22semidirect
69. #19098463C22semidirect
70. #19098461C22semidirect
71. #19098461C22semidirect
72. #19098459C22semidirect
73. #19098458C22semidirect
76. #19098457C22semidirect
77. #19098457C22semidirect
78. #19098457C22semidirect
79. #19098457C22semidirect
80. #19098457C22semidirect
83. #19098456C22semidirect
84. #19098456C22semidirect
85. #19098455C22semidirect
86. #19098455C22semidirect
87. #19098454C22semidirect
88. #19098453C22semidirect
89. #19098452C22semidirect
90. #19098452C22semidirect
97. #19098451C22semidirect
98. #19098450C22semidirect
99. #19098450C22semidirect
100. #19098448C22semidirect
101. #19098448C22semidirect
102. #19098447C22semidirect
103. #19098446C22semidirect
104. #19098446C22semidirect
105. #19098445C22semidirect
106. #19098445C22semidirect
107. #19098444C22semidirect
109. #19098443C22semidirect
110. #19098443C22semidirect
111. #19098442C22semidirect
124. #19098439C22semidirect
125. #19098439C22semidirect
126. #19098439C22semidirect
127. #19098438C22semidirect
128. #19098437C22semidirect
129. #19098437C22semidirect
130. #19098435C22semidirect
131. #19098435C22semidirect
132. #19098434C22semidirect
133. #19098434C22semidirect
134. #19098434C22semidirect
135. #19098430C22semidirect
136. #19098425C22semidirect
139. #19098424C22semidirect
140. #19098424C22semidirect
142. #19098421C22semidirect
143. #19098421C22semidirect
144. #19098421C22semidirect
145. #19098421C22semidirect
146. #19098421C22semidirect
147. #19098420C22semidirect
150. C4⋊C4×Dic79C22semidirect
151. C4⋊C4×Dic79C22semidirect
152. C4×Dic79⋊C4C22semidirect
154. C22⋊C4×Dic79C22semidirect
155. C22⋊C4×Dic79C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
159. C22⋊C4×Dic79C22semidirect
160. C22⋊C4×Dic79C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
163. C4×(C2×D79)⋊C4C22semidirect
164. C4×C22⋊Dic79C22semidirect
165. #19098410C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098409C22semidirect
169. #19098408C22semidirect
170. C2×C79⋊#95C22semidirect
171. #95×D79C22semidirect
172. #95×D79C22semidirect
175. #390×C79C22semidirect
176. #390×C79C22semidirect
179. #388×C79C22semidirect
180. #388×C79C22semidirect
181. #388×C79C22semidirect
182. #388×C79C22semidirect
184. #386×C79C22semidirect
185. #386×C79C22semidirect
191. C2×#11929623C2×C4semidirect
195. C22×C22⋊D79C2×C4semidirect
217. #14579147C2×C4semidirect
218. #14579145C2×C4semidirect
219. #14579143C2×C4semidirect
220. #14579138C2×C4semidirect
221. #14579133C2×C4semidirect
222. #14579133C2×C4semidirect
223. #14579132C2×C4semidirect
224. #14579129C2×C4semidirect
226. D4×Dic79C2×C4semidirect
232. (C22⋊D79)⋊C4C2×C4semidirect
254. C2×C22⋊Dic79C2×C4semidirect
290. C22⋊C4×D79C2×C4semidirect
345. #120×C79C2×C4semidirect
840. #2375D79semidirect
867. C79#34492semidirect
908. #390C2×D79semidirect
909. #390C2×D79semidirect
940. #388C2×D79semidirect
941. #388C2×D79semidirect
942. #388C2×D79semidirect
943. #388C2×D79semidirect
974. #386C2×D79semidirect
975. #386C2×D79semidirect
1066. #120C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190992002
#237665602
#237665512
#237665462
#237665072
#237664492
#237664352
#237663892
#237663812
#237663382
#237663352
#237662512
#237662442
#237662262
#237662162
#237662072
#237661832
#237661662
#237661502
#237661012
#237660702
#237660612
#237660562
#237660372
#237659962
#237659902
#237659762
#237659162
#237658422
#388×D792
C79×#23752
#3449279