Finite Group Databasebeta

← #34451816

Subgroups — #34451816

Order 20224.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099145C211yesmaximal, characteristic
2#23766588C211yesmaximal, characteristic, complemented
3#23766570C211yesmaximal, characteristic, complemented
4#23766543C211yesmaximal, characteristic, complemented
5#23766527C211yesmaximal, characteristic, complemented
6#23766477C211yesmaximal, characteristic, complemented
7#23766470C211yesmaximal, characteristic, complemented
8#23766449C211yesmaximal, characteristic, complemented
9#23766421C211yesmaximal, characteristic, complemented
10#23766420C211yesmaximal, characteristic, complemented
11#23766408C211yesmaximal, characteristic, complemented
12#23766398C211yesmaximal, characteristic, complemented
13#23766337C211yesmaximal, characteristic, complemented
14#23766328C211yesmaximal, characteristic, complemented
15#23766306C211yesmaximal, characteristic, complemented
16#23766296C211yesmaximal, characteristic, complemented
17#23766214C211yesmaximal, characteristic, complemented
18#23766186C211yesmaximal, characteristic, complemented
19#23766181C211yesmaximal, characteristic, complemented
20#23766180C211yesmaximal, characteristic, complemented
21#23766109C211yesmaximal, characteristic, complemented
22#23766101C211yesmaximal, characteristic, complemented
23#23766086C211yesmaximal, characteristic, complemented
24#23766066C211yesmaximal, characteristic, complemented
25#23766059C211yesmaximal, characteristic, complemented
26#23766056C211yesmaximal, characteristic, complemented
27#23765994C211yesmaximal, characteristic, complemented
28#23765905C211yesmaximal, characteristic, complemented
29#23765905C211yesmaximal, characteristic, complemented
30#385×D79C211yesmaximal, characteristic, complemented
31C79×#2377C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33#19099145C4116yescomplemented
34C2×#14579156C2211yescharacteristic
35C2×#14579154C2211yescharacteristic
36C2×#14579148C2211yescharacteristic
37C2×#14579147C2211yescharacteristic
38C2×#14579144C2211yescharacteristic
39C2×#14579142C2211yescharacteristic
40C2×#14579139C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579132C2211yescharacteristic
43C2×#14579129C2211yescharacteristic
44C2×#14579129C2211yescharacteristic
45C2×C4×Dic158C2211yescharacteristic, complemented
46C2×D4×Dic79C2211yescharacteristic
47C2×D4×Dic79C2211yescharacteristic
48C2×D4×Dic79C2211yescharacteristic, complemented
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×C4×C22⋊D79C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic
53C2×(C22⋊D79)⋊C4C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic
55C2×(C22⋊D79)⋊C4C2211yescharacteristic
56C2×(C22⋊D79)⋊C4C2211yescharacteristic
57C2×#14579117C2211yescharacteristic, complemented
58C22×C4⋊Dic79C2211yescharacteristic, complemented
59C2×C4⋊C4×D79C2211yescharacteristic
60C2×C4⋊C4×D79C2211yescharacteristic
61C2×C22⋊C4×D79C2211yescharacteristic
62C2×C22⋊C4×D79C2211yescharacteristic
63#19098468C2211yescharacteristic, complemented
64#19098467C2211yescharacteristic, complemented
65#19098467C2211yescharacteristic, complemented
66#19098466C2211yescharacteristic
67#19098463C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098462C2211yescharacteristic, complemented
70#19098460C2211yescharacteristic, complemented
71#19098460C2211yescharacteristic, complemented
72#19098460C2211yescharacteristic, complemented
73#19098460C2211yescharacteristic, complemented
74#19098459C2211yescharacteristic, complemented
75#19098458C2211yescharacteristic, complemented
76#19098458C2211yescharacteristic, complemented
77#19098457C2211yescharacteristic
78#19098457C2211yescharacteristic
79#19098457C2211yescharacteristic
80#19098457C2211yescharacteristic, complemented
81#19098457C2211yescharacteristic, complemented
82#19098457C2211yescharacteristic, complemented
83#19098456C2211yescharacteristic
84#19098456C2211yescharacteristic, complemented
85#19098455C2211yescharacteristic
86#19098455C2211yescharacteristic
87#19098454C2211yescharacteristic
88#19098454C2211yescharacteristic
89#19098453C2211yescharacteristic
90#19098453C2211yescharacteristic
91#19098452C2211yescharacteristic
92#19098452C2211yescharacteristic
93#19098451C2211yescharacteristic
94#19098451C2211yescharacteristic
95#19098451C2211yescharacteristic
96#19098451C2211yescharacteristic, complemented
97#19098451C2211yescharacteristic, complemented
98#19098451C2211yescharacteristic, complemented
99#19098450C2211yescharacteristic, complemented
100#19098450C2211yescharacteristic, complemented
101#19098450C2211yescharacteristic, complemented
102#19098448C2211yescharacteristic, complemented
103#19098446C2211yescharacteristic, complemented
104#19098445C2211yescharacteristic, complemented
105#19098445C2211yescharacteristic, complemented
106#19098445C2211yescharacteristic, complemented
107#19098445C2211yescharacteristic, complemented
108#19098444C2211yescharacteristic, complemented
109#19098443C2211yescharacteristic
110#19098443C2211yescharacteristic, complemented
111#19098442C2211yescharacteristic
112#19098440C2211yescharacteristic
113#19098439C2211yescharacteristic
114#19098439C2211yescharacteristic
115#19098439C2211yescharacteristic
116#19098439C2211yescharacteristic
117#19098439C2211yescharacteristic
118#19098439C2211yescharacteristic
119#19098438C2211yescharacteristic
120#19098438C2211yescharacteristic, complemented
121#19098437C2211yescharacteristic
122#19098437C2211yescharacteristic
123#19098437C2211yescharacteristic
124#19098437C2211yescharacteristic
125#19098437C2211yescharacteristic
126#19098437C2211yescharacteristic
127#19098437C2211yescharacteristic
128#19098436C2211yescharacteristic
129#19098436C2211yescharacteristic
130#19098436C2211yescharacteristic
131#19098435C2211yescharacteristic
132#19098435C2211yescharacteristic, complemented
133#19098435C2211yescharacteristic, complemented
134#19098435C2211yescharacteristic, complemented
135#19098435C2211yescharacteristic, complemented
136#19098434C2211yescharacteristic
137#19098434C2211yescharacteristic
138#19098434C2211yescharacteristic
139#19098432C2211yescharacteristic, complemented
140#19098430C2211yescharacteristic, complemented
141#19098427C2211yescharacteristic, complemented
142#19098427C2211yescharacteristic, complemented
143#19098422C2211yescharacteristic
144#19098421C2211yescharacteristic, complemented
145#19098421C2211yescharacteristic, complemented
146#19098420C2211yescharacteristic
147#19098418C2211yescharacteristic
148#19098418C2211yescharacteristic
149C4⋊C4×Dic79C2211yescharacteristic, complemented
150C4⋊C4×Dic79C2211yescharacteristic, complemented
151C4⋊C4×Dic79C2211yescharacteristic, complemented
152C4×Dic79⋊C4C2211yescharacteristic, complemented
153C4×Dic79⋊C4C2211yescharacteristic, complemented
154C4×C4⋊Dic79C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic
157C22⋊C4×Dic79C2211yescharacteristic
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C4×(C2×D79)⋊C4C2211yescharacteristic
160C4×(C2×D79)⋊C4C2211yescharacteristic
161C4×C22⋊Dic79C2211yescharacteristic, complemented
162C4×C22⋊Dic79C2211yescharacteristic, complemented
163#19098410C2211yescharacteristic
164#19098410C2211yescharacteristic
165#19098410C2211yescharacteristic
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098408C2211yescharacteristic, complemented
170C2×C79⋊#95C2211yescharacteristic, complemented
171#95×D79C2211yescharacteristic
172#95×D79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic
174#390×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic, complemented
176#388×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic, complemented
178#387×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic, complemented
187#380×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C23×Dic79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79—42no—
200C22×C4×D79—42no—
201C22×C4×D79—42no—
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579156C2×C418yescomplemented
211#14579154C2×C418yescomplemented
212#14579148C2×C418yescomplemented
213#14579147C2×C418yescomplemented
214#14579144C2×C418yescomplemented
215#14579142C2×C418yescomplemented
216#14579139C2×C418yescomplemented
217#14579133C2×C418yescomplemented
218#14579132C2×C418yescomplemented
219#14579129C2×C418yescomplemented
220#14579129C2×C418yescomplemented
221C4×Dic158—42no—
222D4×Dic79—42no—
223D4×Dic79—42no—
224D4×Dic79—42no—
225C4×C22⋊D79—42no—
226C4×C22⋊D79C2×C418yescomplemented
227(C22⋊D79)⋊C4—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#14579117—42no—
234C2×C4⋊Dic79—42no—
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C4⋊C4×D79—42no—
261C4⋊C4×D79—42no—
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×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C22⋊C4×D79—42no—
293C22⋊C4×D79C2×C418yescomplemented
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
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
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
340C22×D4×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345C23×C4×C79C2311yescharacteristic
346#121×C79C2×C418yescomplemented
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊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×C42×C79C2311yescharacteristic
365C2×C42×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×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
385C2×Dic158—41no—
386C2×Dic158—41no—
387C2×Dic158C22×C414yescomplemented
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79C22×C414yes—
397C2×C22⋊D79C22×C414yes—
398C2×C22⋊D79C22×C414yes—
399C2×C22⋊D79C22×C414yes—
400C22×Dic79—22no—
401C22×Dic79—22no—
402C22×Dic79—22no—
403C22×Dic79—22no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79C22×C414yescomplemented
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—416no—
452C2×C4×D79C22×C414yes—
453C2×C4×D79C22×C414yes—
454C4⋊Dic79—22no—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79C22×C414yescomplemented
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4C22×C414yescomplemented
476Dic79⋊C4C22×C414yescomplemented
477Dic79⋊C4C22×C414yescomplemented
478Dic79⋊C4C22×C414yescomplemented
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79C22×C414yes—
488C22⋊Dic79C22×C414yes—
489C22⋊Dic79C22×C414yes—
490C22⋊Dic79C22×C414yescomplemented
491C22⋊Dic79C22×C414yescomplemented
492C22⋊Dic79C22×C414yescomplemented
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4C22×C414yes—
504(C2×D79)⋊C4C22×C414yes—
505(C2×D79)⋊C4C22×C414yes—
506(C2×D79)⋊C4C22×C414yes—
507(C2×D79)⋊C4C22×C414yes—
508(C2×D79)⋊C4C22×C414yes—
509C4×Dic79—22no—
510C4×Dic79—22no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79C22×C414yescomplemented
524C4×Dic79C22×C414yescomplemented
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C24×C79C2411yescharacteristic
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79C22×C414yes—
535C2×D4×C79C22×C414yes—
536C2×D4×C79C22×C414yescomplemented
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79C22×C414yescomplemented
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79C22×C414yescomplemented
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79C22×C414yes—
574C22⋊C4×C79C22×C414yescomplemented
575C42×C79—41no—
576C42×C79—41no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79C23×C412yes—
596C23×C79C23×C412yes—
597C23×C79C23×C412yes—
598C23×C79C2511yescharacteristic
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—28no—
610C22×D79—44no—
611C22×D79—44no—
612C22×D79—44no—
613C22×D79—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79C23×C412yes—
617C22×D79C23×C412yes—
618C22×D79H(5,𝔽2)12yes—
619C22×D792−1+412yes—
620D4×C79—44no—
621D4×C79—44no—
622D4×C79—44no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—44no—
656C2×C4×C79—44no—
657C2×C4×C79—82no—
658C2×C4×C79C23×C412yes—
659C2×C4×C79C23×C412yes—
660C2×C4×C79C23×C412yes—
661C2×C4×C79C23×C412yes—
662C22⋊D79—28no—
663C22⋊D79—28no—
664C22⋊D79—44no—
665C22⋊D79—44no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—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—44no—
701C2×Dic79—44no—
702C2×Dic79—82no—
703C2×Dic79—82no—
704C2×Dic79—82no—
705C2×Dic79C23×C412yes—
706C2×Dic79C23×C412yes—
707C2×Dic79C23×C412yes—
708C2×Dic79C23×C412yes—
709C2×Dic79C23×C412yes—
710C2×Dic79C23×C412yes—
711C2×Dic79H(5,𝔽2)12yes—
712C2×Dic79H(5,𝔽2)12yes—
713C4×D79—44no—
714C4×D79—44no—
715C4×D79—44no—
716C4×D79—44no—
717C4×D79—44no—
718C4×D79—44no—
719C4×D79—82no—
720C4×D79—82no—
721Dic158—44no—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79C24×C411yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×H(5,𝔽2)11yescharacteristic
746C22×C79C2×H(5,𝔽2)11yescharacteristic
747C22×C79C2×2−1+411yescharacteristic
748C22×C79#58511yescharacteristic
749C22×C79#58511yescharacteristic
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—416no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79#52014yes—
765C4×C79—22no—
766C4×C79—22no—
767C4×C79—22no—
768C4×C79—22no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79—41no—
772C4×C79—41no—
773C4×C79—41no—
774C4×C79—41no—
775C4×C79—41no—
776C4×C79—41no—
777Dic79—22no—
778Dic79—22no—
779Dic79—22no—
780Dic79—22no—
781Dic79—22no—
782Dic79—22no—
783Dic79—22no—
784Dic79—22no—
785Dic79—41no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791#34416—791nomaximal, Sylow
792C2×C79—42no—
793C2×C79—42no—
794C2×C79—42no—
795C2×C79C2×#52011yescharacteristic
796C2×C79C4×H(5,𝔽2)11yescharacteristic
797C2×C79C4×H(5,𝔽2)11yescharacteristic
798C2×C79#353211yescharacteristic
799C2×C79#353311yescharacteristic
800C2×C79#354111yescharacteristic
801C2×C79#354111yescharacteristic
802D79—24no—
803D79—42no—
804C2×#538—791no—
805#2383—791no—
806#2379—791no—
807#2377D7911yescharacteristic, complemented
808#2376—791no—
809#2373—791no—
810#2368—791no—
811#2367—791no—
812#2364—791no—
813#2361—791no—
814#2361—791no—
815#2360—791no—
816#2359—791no—
817#2353—791no—
818#2352—791no—
819#2349—791no—
820D4×C4⋊C4—791no—
821#2337—791no—
822#2335—791no—
823#2334—791no—
824#2334—791no—
825#2326—791no—
826#2325—791no—
827#2324—791no—
828#2322—791no—
829#2321—791no—
830#2321—791no—
831#2312—791no—
832C4×#120—791no—
833C4×#120—791no—
834C2×#385—791no—
835C79#3441611yescharacteristic, complemented, Sylow
836C24×C4—791no—
837#538—7916no—
838C2×#126—791no—
839C2×#126—791no—
840C2×#124—791no—
841C2×#124—791no—
842C2×#123—791no—
843C2×#123—791no—
844C2×C22⋊Q8—791no—
845C2×#121—791no—
846C2×#121—791no—
847C2×#121C2×D7911yescharacteristic
848C2×#120—791no—
849C2×#120—791no—
850C2×C4×Q8—791no—
851C2×C4×D4—791no—
852C2×C4×D4—791no—
853C2×C4×D4—791no—
854C2×C4×D4—791no—
855C2×C4×D4—791no—
856C2×C4×D4—791no—
857C2×C4×D4—791no—
858C2×C4×D4—791no—
859C2×C4×D4—791no—
860C2×C4×D4—791no—
861C2×C4×D4—791no—
862C2×#117—791no—
863C22×C4⋊C4—791no—
864C22×C4⋊C4—791no—
865C22×C4⋊C4—791no—
866C22×C22⋊C4—791no—
867C22×C22⋊C4—791no—
868#391—791no—
869#391—791no—
870#391—791no—
871#390—791no—
872#390—791no—
873#390—791no—
874#390C2×D7911yescharacteristic
875#390C2×D7911yescharacteristic, complemented
876#389—791no—
877#389—791no—
878#389—791no—
879#389—791no—
880#389—791no—
881#389—791no—
882#389—791no—
883#389—791no—
884#388—791no—
885#388—791no—
886#388—791no—
887#388—791no—
888#388—791no—
889#388—791no—
890#388—791no—
891#388—791no—
892#388—791no—
893#388—791no—
894#388—791no—
895#388—791no—
896#388—791no—
897#388—791no—
898#388—791no—
899#388—791no—
900#388—791no—
901#388—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388C2×D7911yescharacteristic
907#388C2×D7911yescharacteristic, complemented
908#387—791no—
909#387—791no—
910#387—791no—
911#387—791no—
912#387—791no—
913#387—791no—
914#387—791no—
915#387—791no—
916#387—791no—
917#387—791no—
918#387C2×D7911yescharacteristic, complemented
919#387C2×D7911yescharacteristic, complemented
920#386—791no—
921#386—791no—
922#386—791no—
923#386—791no—
924#386—791no—
925#386—791no—
926#386—791no—
927#386—791no—
928#386—791no—
929#386—791no—
930#386C2×D7911yescharacteristic
931#386C2×D7911yescharacteristic
932#386C2×D7911yescharacteristic
933#386C2×D7911yescharacteristic, complemented
934#385—791no—
935#385—791no—
936#385—791no—
937#385—791no—
938#385—791no—
939#385—791no—
940#385—791no—
941#385—791no—
942#385—791no—
943#385—791no—
944#385—791no—
945#385—791no—
946#385—791no—
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385C2×D7911yescharacteristic
955#385C2×D7911yescharacteristic, complemented
956#384—791no—
957#383—791no—
958#382—791no—
959#382—791no—
960#381C2×D7911yescharacteristic, complemented
961#380—791no—
962#380—791no—
963#380—791no—
964#380—791no—
965#380C2×D7911yescharacteristic, complemented
966#379—791no—
967#379—791no—
968C4×C4⋊C4—791no—
969C4×C4⋊C4—791no—
970C4×C4⋊C4—791no—
971C4×C4⋊C4—791no—
972C4×C4⋊C4—791no—
973C4×C4⋊C4—791no—
974C4×C4⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C4×C22⋊C4—791no—
983C4×C22⋊C4—791no—
984C4×C22⋊C4—791no—
985C4×C22⋊C4—791no—
986C4×C22⋊C4—791no—
987C4×C22⋊C4—791no—
988#376—791no—
989C2×#95—791no—
990C2×#95—791no—
991C2×#95—791no—
992C25—791no—
993C22×Q8—791no—
994C22×D4—791no—
995C22×D4—791no—
996C22×D4—791no—
997C22×D4—791no—
998C22×D4C22×D7911yescharacteristic
999C22×D4C22×D7911yescharacteristic
1000C22×D4C22×D7911yescharacteristic
1001C23×C4—3162no—
1002C23×C4—3162no—
1003C23×C4—3162no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4—791no—
1008C23×C4—791no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4—791no—
1012C23×C4—791no—
1013C23×C4—791no—
1014C23×C4—791no—
1015C23×C4—791no—
1016C23×C4—791no—
1017C23×C4C22×D7911yescharacteristic
1018C23×C4C22×D7911yescharacteristic
1019C23×C4C22×D7911yescharacteristic
1020#126—798no—
1021#126—798no—
1022#124—798no—
1023#124—798no—
1024#123—798no—
1025#123—798no—
1026C22⋊Q8—798no—
1027#121—798no—
1028#121—798no—
1029#121C4×D7918yescomplemented
1030#120—798no—
1031#120—798no—
1032C4×Q8—3162no—
1033C4×D4—3162no—
1034C4×D4—3162no—
1035C4×D4—3162no—
1036C4×D4—3162no—
1037C4×D4—3162no—
1038C4×D4—3162no—
1039C4×D4—3162no—
1040C4×D4—3162no—
1041C4×D4—3162no—
1042C4×D4—798no—
1043C4×D4—798no—
1044#117—3162no—
1045C2×C4⋊C4—3162no—
1046C2×C4⋊C4—3162no—
1047C2×C4⋊C4—3162no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C22⋊C4—3162no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—798no—
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⋊C4C22×D7911yescharacteristic
1111C2×C22⋊C4C22×D7911yescharacteristic
1112C2×C22⋊C4C22×D7911yescharacteristic
1113C2×C22⋊C4C22×D7911yescharacteristic
1114C2×C22⋊C4C22×D7911yescharacteristic
1115C2×C22⋊C4C22×D7911yescharacteristic
1116C2×C22⋊C4C22×D7911yescharacteristic
1117C2×C22⋊C4C22×D7911yescharacteristic
1118C2×C22⋊C4C22×D7911yescharacteristic
1119C2×C22⋊C4C22×D7911yescharacteristic
1120C2×C22⋊C4C22×D7911yescharacteristic
1121C2×C22⋊C4C22×D7911yescharacteristic
1122C2×C42—791no—
1123C2×C42—791no—
1124C2×C42—791no—
1125C2×C42—791no—
1126C2×C42—791no—
1127C2×C42—791no—
1128C2×C42—791no—
1129C2×C42—791no—
1130C2×C42—791no—
1131C2×C42—791no—
1132C2×C42—791no—
1133C2×C42—791no—
1134C2×C42—791no—
1135C2×C42—791no—
1136C2×C42—791no—
1137C2×C42—791no—
1138C2×C42C22×D7911yescharacteristic
1139C2×C42C22×D7911yescharacteristic
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95C22×D7911yescharacteristic
1171#95C22×D7911yescharacteristic
1172#95C22×D7911yescharacteristic
1173#95C22×D7911yescharacteristic
1174#95C22×D7911yescharacteristic
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180C24—3161no—
1181C24—3161no—
1182C24—3161no—
1183C24—3161no—
1184C24—794no—
1185C24—791no—
1186C24—791no—
1187C24—1582no—
1188C24—1582no—
1189C24C23×D7911yescharacteristic
1190C24C23×D7911yescharacteristic
1191C24C23×D7911yescharacteristic
1192C2×Q8—3161no—
1193C2×Q8—3161no—
1194C2×Q8—794no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—3161no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—794no—
1206C2×D4—794no—
1207C2×D4—794no—
1208C2×D4—794no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C2×D4C2×C4×D7914yes—
1214C2×D4C2×C4×D7914yes—
1215C2×D4C2×C4×D7914yescomplemented
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—3161no—
1234C22×C4—3161no—
1235C22×C4—3161no—
1236C22×C4—3161no—
1237C22×C4—3161no—
1238C22×C4—31616no—
1239C22×C4—3161no—
1240C22×C4—3161no—
1241C22×C4—3161no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—794no—
1250C22×C4—794no—
1251C22×C4—794no—
1252C22×C4—791no—
1253C22×C4—791no—
1254C22×C4—791no—
1255C22×C4—791no—
1256C22×C4—791no—
1257C22×C4—791no—
1258C22×C4—791no—
1259C22×C4—791no—
1260C22×C4—791no—
1261C22×C4—791no—
1262C22×C4—791no—
1263C22×C4—791no—
1264C22×C4—791no—
1265C22×C4—791no—
1266C22×C4—1582no—
1267C22×C4—1582no—
1268C22×C4—1582no—
1269C22×C4—1582no—
1270C22×C4—1582no—
1271C22×C4—1582no—
1272C22×C4—1582no—
1273C22×C4—1582no—
1274C22×C4—1582no—
1275C22×C4—1582no—
1276C22×C4—1582no—
1277C22×C4—1582no—
1278C22×C4C2×C4×D7914yescomplemented
1279C22×C4C23×D7911yescharacteristic
1280C22×C4C23×D7911yescharacteristic
1281C22×C4C23×D7911yescharacteristic
1282C22×C4C23×D7911yescharacteristic
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—3161no—
1296C4⋊C4—3161no—
1297C4⋊C4—3161no—
1298C4⋊C4—3161no—
1299C4⋊C4—3161no—
1300C4⋊C4—3161no—
1301C4⋊C4—3161no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—794no—
1310C4⋊C4—794no—
1311C4⋊C4—794no—
1312C4⋊C4—794no—
1313C4⋊C4—794no—
1314C4⋊C4—1582no—
1315C4⋊C4—1582no—
1316C4⋊C4—1582no—
1317C4⋊C4—1582no—
1318C4⋊C4—1582no—
1319C4⋊C4—1582no—
1320C4⋊C4C2×C4×D7914yescomplemented
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—3161no—
1334C22⋊C4—3161no—
1335C22⋊C4—3161no—
1336C22⋊C4—3161no—
1337C22⋊C4—3161no—
1338C22⋊C4—3161no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—794no—
1344C22⋊C4—794no—
1345C22⋊C4—794no—
1346C22⋊C4—794no—
1347C22⋊C4—794no—
1348C22⋊C4—794no—
1349C22⋊C4—794no—
1350C22⋊C4—794no—
1351C22⋊C4—794no—
1352C22⋊C4—794no—
1353C22⋊C4—794no—
1354C22⋊C4—794no—
1355C22⋊C4—1582no—
1356C22⋊C4—1582no—
1357C22⋊C4—1582no—
1358C22⋊C4—1582no—
1359C22⋊C4—1582no—
1360C22⋊C4—1582no—
1361C22⋊C4C2×C4×D7914yes—
1362C22⋊C4C2×C4×D7914yescomplemented
1363C42—41no—
1364C42—41no—
1365C42—3161no—
1366C42—3161no—
1367C42—3161no—
1368C42—3161no—
1369C42—3161no—
1370C42—3161no—
1371C42—3161no—
1372C42—3161no—
1373C42—3161no—
1374C42—3161no—
1375C42—3161no—
1376C42—3161no—
1377C42—794no—
1378C42—794no—
1379C42—1582no—
1380C42—1582no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—3164no—
1400C23—3164no—
1401C23—3164no—
1402C23—3164no—
1403C23—3164no—
1404C23—3164no—
1405C23—792no—
1406C23—792no—
1407C23—792no—
1408C23—792no—
1409C23—1588no—
1410C23—1581no—
1411C23—1581no—
1412C23—1581no—
1413C23—1581no—
1414C23—1581no—
1415C23—1581no—
1416C23—1581no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23C22×C4×D7912yes—
1421C23C22×C4×D7912yes—
1422C23C22×C4×D7912yes—
1423C23C24×D7911yescharacteristic
1424Q8—3164no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—3164no—
1429D4—3164no—
1430D4—1588no—
1431D4—1588no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—82no—
1467C2×C4—3164no—
1468C2×C4—3164no—
1469C2×C4—3164no—
1470C2×C4—3164no—
1471C2×C4—3164no—
1472C2×C4—3164no—
1473C2×C4—3164no—
1474C2×C4—3164no—
1475C2×C4—792no—
1476C2×C4—792no—
1477C2×C4—792no—
1478C2×C4—792no—
1479C2×C4—792no—
1480C2×C4—792no—
1481C2×C4—792no—
1482C2×C4—792no—
1483C2×C4—6322no—
1484C2×C4—6322no—
1485C2×C4—6322no—
1486C2×C4—6322no—
1487C2×C4—6322no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4C22×C4×D7912yes—
1523C2×C4C22×C4×D7912yes—
1524C2×C4C22×C4×D7912yes—
1525C2×C4C22×C4×D7912yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—31616no—
1548C22—3161no—
1549C22—3161no—
1550C22—3161no—
1551C22—3161no—
1552C22—794no—
1553C22—1582no—
1554C22—1582no—
1555C22—1582no—
1556C22—1582no—
1557C22—1582no—
1558C22—1582no—
1559C22—1582no—
1560C22—1582no—
1561C22—1582no—
1562C22C23×C4×D7911yescharacteristic
1563C22H(5,𝔽2)×D7911yescharacteristic
1564C22H(5,𝔽2)×D7911yescharacteristic
1565C22H(5,𝔽2)×D7911yescharacteristic
1566C222−1+4×D7911yescharacteristic
1567C22#1909939811yescharacteristic
1568C22#1909939811yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—3161no—
1582C4—3161no—
1583C4—3161no—
1584C4—3161no—
1585C4—3161no—
1586C4—3161no—
1587C4—1582no—
1588C4—1582no—
1589C4—1582no—
1590C4—1582no—
1591C4—1582no—
1592C4—1582no—
1593C4—1582no—
1594C4—1582no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—3162no—
1599C2—1584no—
1600C2#520×D7911yescharacteristic
1601C2#2377660411yescharacteristic
1602C2#2377660411yescharacteristic
1603C2#2377755311yescharacteristic
1604C2#2377756911yescharacteristic
1605C2#2377768211yescharacteristic
1606C2#2377768211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2377C2
socle, cosocleC23×C79C25
prime radicalC2×#19099145C2
hypercenter#2377D79
hypocenterC79#34416
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #23766588C2semidirect
3. #23766570C2semidirect
4. #23766543C2semidirect
5. #23766527C2semidirect
6. #23766477C2semidirect
7. #23766470C2semidirect
8. #23766449C2semidirect
9. #23766421C2semidirect
10. #23766420C2semidirect
11. #23766408C2semidirect
12. #23766398C2semidirect
13. #23766337C2semidirect
14. #23766328C2semidirect
15. #23766306C2semidirect
16. #23766296C2semidirect
17. #23766214C2semidirect
18. #23766186C2semidirect
19. #23766181C2semidirect
20. #23766180C2semidirect
21. #23766109C2semidirect
22. #23766101C2semidirect
23. #23766086C2semidirect
24. #23766066C2semidirect
25. #23766059C2semidirect
26. #23766056C2semidirect
27. #23765994C2semidirect
28. #23765905C2semidirect
29. #23765905C2semidirect
30. #385×D79C2semidirect
31. C79×#2377C2semidirect
33. #19099145C4semidirect
45. C2×C4×Dic158C22semidirect
48. C2×D4×Dic79C22semidirect
57. C2×#14579117C22semidirect
58. C22×C4⋊Dic79C22semidirect
63. #19098468C22semidirect
64. #19098467C22semidirect
65. #19098467C22semidirect
69. #19098462C22semidirect
70. #19098460C22semidirect
71. #19098460C22semidirect
72. #19098460C22semidirect
73. #19098460C22semidirect
74. #19098459C22semidirect
75. #19098458C22semidirect
76. #19098458C22semidirect
80. #19098457C22semidirect
81. #19098457C22semidirect
82. #19098457C22semidirect
84. #19098456C22semidirect
96. #19098451C22semidirect
97. #19098451C22semidirect
98. #19098451C22semidirect
99. #19098450C22semidirect
100. #19098450C22semidirect
101. #19098450C22semidirect
102. #19098448C22semidirect
103. #19098446C22semidirect
104. #19098445C22semidirect
105. #19098445C22semidirect
106. #19098445C22semidirect
107. #19098445C22semidirect
108. #19098444C22semidirect
110. #19098443C22semidirect
120. #19098438C22semidirect
132. #19098435C22semidirect
133. #19098435C22semidirect
134. #19098435C22semidirect
135. #19098435C22semidirect
139. #19098432C22semidirect
140. #19098430C22semidirect
141. #19098427C22semidirect
142. #19098427C22semidirect
144. #19098421C22semidirect
145. #19098421C22semidirect
149. C4⋊C4×Dic79C22semidirect
150. C4⋊C4×Dic79C22semidirect
151. C4⋊C4×Dic79C22semidirect
152. C4×Dic79⋊C4C22semidirect
153. C4×Dic79⋊C4C22semidirect
154. C4×C4⋊Dic79C22semidirect
155. #19098414C22semidirect
158. C22⋊C4×Dic79C22semidirect
161. C4×C22⋊Dic79C22semidirect
162. C4×C22⋊Dic79C22semidirect
169. #19098408C22semidirect
170. C2×C79⋊#95C22semidirect
175. #390×C79C22semidirect
177. #388×C79C22semidirect
178. #387×C79C22semidirect
179. #387×C79C22semidirect
183. #386×C79C22semidirect
185. #385×C79C22semidirect
186. #381×C79C22semidirect
187. #380×C79C22semidirect
210. #14579156C2×C4semidirect
211. #14579154C2×C4semidirect
212. #14579148C2×C4semidirect
213. #14579147C2×C4semidirect
214. #14579144C2×C4semidirect
215. #14579142C2×C4semidirect
216. #14579139C2×C4semidirect
217. #14579133C2×C4semidirect
218. #14579132C2×C4semidirect
219. #14579129C2×C4semidirect
220. #14579129C2×C4semidirect
226. C4×C22⋊D79C2×C4semidirect
232. (C22⋊D79)⋊C4C2×C4semidirect
293. C22⋊C4×D79C2×C4semidirect
346. #121×C79C2×C4semidirect
387. C2×Dic158C22×C4semidirect
414. C22×Dic79C22×C4semidirect
460. C4⋊Dic79C22×C4semidirect
475. Dic79⋊C4C22×C4semidirect
476. Dic79⋊C4C22×C4semidirect
477. Dic79⋊C4C22×C4semidirect
478. Dic79⋊C4C22×C4semidirect
490. C22⋊Dic79C22×C4semidirect
491. C22⋊Dic79C22×C4semidirect
492. C22⋊Dic79C22×C4semidirect
523. C4×Dic79C22×C4semidirect
524. C4×Dic79C22×C4semidirect
536. C2×D4×C79C22×C4semidirect
545. C22×C4×C79C22×C4semidirect
562. C4⋊C4×C79C22×C4semidirect
574. C22⋊C4×C79C22×C4semidirect
807. #2377D79semidirect
835. C79#34416semidirect
875. #390C2×D79semidirect
907. #388C2×D79semidirect
918. #387C2×D79semidirect
919. #387C2×D79semidirect
933. #386C2×D79semidirect
955. #385C2×D79semidirect
960. #381C2×D79semidirect
965. #380C2×D79semidirect
1029. #121C4×D79semidirect
1215. C2×D4C2×C4×D79semidirect
1278. C22×C4C2×C4×D79semidirect
1320. C4⋊C4C2×C4×D79semidirect
1362. C22⋊C4C2×C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991452
#237665882
#237665702
#237665432
#237665272
#237664772
#237664702
#237664492
#237664212
#237664202
#237664082
#237663982
#237663372
#237663282
#237663062
#237662962
#237662142
#237661862
#237661812
#237661802
#237661092
#237661012
#237660862
#237660662
#237660592
#237660562
#237659942
#237659052
#385×D792
C79×#23772
#3441679