Finite Group Databasebeta

← #34460852

Subgroups — #34460852

Order 20224.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099188C211yesmaximal, characteristic, complemented
2C2×C4×D4×D79C211yesmaximal, characteristic
3#23771738C211yesmaximal, characteristic, complemented
4#23771735C211yesmaximal, characteristic, complemented
5#23771686C211yesmaximal, characteristic, complemented
6#23771684C211yesmaximal, characteristic, complemented
7#23769218C211yesmaximal, characteristic, complemented
8#23769212C211yesmaximal, characteristic, complemented
9#23769210C211yesmaximal, characteristic, complemented
10#23769206C211yesmaximal, characteristic, complemented
11#23767230C211yesmaximal, characteristic, complemented
12#23767229C211yesmaximal, characteristic, complemented
13#23767226C211yesmaximal, characteristic, complemented
14#23767225C211yesmaximal, characteristic, complemented
15#23767223C211yesmaximal, characteristic, complemented
16#23767222C211yesmaximal, characteristic, complemented
17#23767219C211yesmaximal, characteristic, complemented
18#23767218C211yesmaximal, characteristic, complemented
19#23767216C211yesmaximal, characteristic, complemented
20#23767213C211yesmaximal, characteristic, complemented
21#23767212C211yesmaximal, characteristic, complemented
22#23767209C211yesmaximal, characteristic, complemented
23#23767206C211yesmaximal, characteristic, complemented
24#23767205C211yesmaximal, characteristic, complemented
25#23767202C211yesmaximal, characteristic, complemented
26#23766011C211yesmaximal, characteristic, complemented
27#23765974C211yesmaximal, characteristic
28#23765974C211yesmaximal, characteristic
29C2×#19098434C211yesmaximal, characteristic, complemented
30#385×D79C211yesmaximal, characteristic, complemented
31C79×#2449C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic
35#19099188—28no—
36C2×#14579141C2211yescharacteristic
37C2×#14579141C2211yescharacteristic, complemented
38C2×#14579140C2211yescharacteristic, complemented
39C2×#14579139C2211yescharacteristic
40C2×#14579139C2211yescharacteristic
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579139C2211yescharacteristic, complemented
43C2×#14579139C2211yescharacteristic, complemented
44C2×#14579138C2211yescharacteristic, complemented
45C2×#14579138C2211yescharacteristic, complemented
46C2×#14579138C2211yescharacteristic, complemented
47C2×#14579137C2211yescharacteristic
48C2×#14579137C2211yescharacteristic, complemented
49C2×#14579137C2211yescharacteristic, complemented
50C2×C4×D316C2211yescharacteristic
51C2×D4×Dic79C2211yescharacteristic
52C2×#14579123C2211yescharacteristic
53C2×C4×C22⋊D79C2211yescharacteristic
54C2×C4×C22⋊D79C2211yescharacteristic
55C2×(C22⋊D79)⋊C4C2211yescharacteristic
56C2×(C22⋊D79)⋊C4C2211yescharacteristic
57C4×D4×D79—28no—
58C22×Dic79⋊C4C2211yescharacteristic, complemented
59C2×C4⋊C4×D79C2211yescharacteristic
60C2×C4⋊C4×D79C2211yescharacteristic, complemented
61C2×C4⋊C4×D79C2211yescharacteristic, complemented
62C22×(C2×D79)⋊C4C2211yescharacteristic
63C22×(C2×D79)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C42×D79C2211yescharacteristic
69#19098505C2211yescharacteristic, complemented
70#19098504C2211yescharacteristic, complemented
71#19098503C2211yescharacteristic, complemented
72#19098502C2211yescharacteristic, complemented
73#19098499C2211yescharacteristic, complemented
74#19098498C2211yescharacteristic, complemented
75#19098498C2211yescharacteristic, complemented
76#19098497C2211yescharacteristic, complemented
77#19098497C2211yescharacteristic, complemented
78#19098496C2211yescharacteristic, complemented
79#19098496C2211yescharacteristic, complemented
80#19098494C2211yescharacteristic, complemented
81#19098494C2211yescharacteristic, complemented
82#19098493C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098485C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098485C2211yescharacteristic, complemented
90#19098484C2211yescharacteristic, complemented
91#19098483C2211yescharacteristic, complemented
92#19098482C2211yescharacteristic, complemented
93#19098476C2211yescharacteristic, complemented
94#19098476C2211yescharacteristic, complemented
95#19098475C2211yescharacteristic, complemented
96#19098475C2211yescharacteristic, complemented
97#19098469C2211yescharacteristic, complemented
98#19098468C2211yescharacteristic, complemented
99#19098467C2211yescharacteristic, complemented
100#19098467C2211yescharacteristic, complemented
101#19098460C2211yescharacteristic, complemented
102#19098459C2211yescharacteristic, complemented
103#19098458C2211yescharacteristic, complemented
104#19098450C2211yescharacteristic, complemented
105#19098450C2211yescharacteristic, complemented
106#19098449C2211yescharacteristic, complemented
107#19098449C2211yescharacteristic, complemented
108#19098448C2211yescharacteristic, complemented
109#19098447C2211yescharacteristic, complemented
110#19098444C2211yescharacteristic, complemented
111#19098443C2211yescharacteristic
112#19098443C2211yescharacteristic
113#19098442C2211yescharacteristic
114#19098442C2211yescharacteristic
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098441C2211yescharacteristic
119#19098440C2211yescharacteristic
120#19098440C2211yescharacteristic
121#19098439C2211yescharacteristic
122#19098439C2211yescharacteristic
123#19098439C2211yescharacteristic
124#19098439C2211yescharacteristic
125#19098438C2211yescharacteristic, complemented
126#19098438C2211yescharacteristic, complemented
127#19098437C2211yescharacteristic
128#19098437C2211yescharacteristic
129#19098437C2211yescharacteristic, complemented
130#19098437C2211yescharacteristic, complemented
131#19098437C2211yescharacteristic, complemented
132#19098436C2211yescharacteristic, complemented
133#19098436C2211yescharacteristic, complemented
134#19098436C2211yescharacteristic, complemented
135#19098435C2211yescharacteristic, complemented
136#19098435C2211yescharacteristic, complemented
137#19098435C2211yescharacteristic, complemented
138#19098435C2211yescharacteristic, complemented
139#19098434C2211yescharacteristic
140#19098434C2211yescharacteristic
141#19098434C2211yescharacteristic
142#19098434C2211yescharacteristic
143#19098434C2211yescharacteristic
144#19098434C2211yescharacteristic
145#19098434C2211yescharacteristic, complemented
146#19098434C2211yescharacteristic, complemented
147#19098434C2211yescharacteristic, complemented
148#19098434C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098434C2211yescharacteristic, complemented
154#19098425C2211yescharacteristic
155#19098425C2211yescharacteristic
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic
158#19098423C2211yescharacteristic, complemented
159#19098422C2211yescharacteristic
160#19098422C2211yescharacteristic
161#19098422C2211yescharacteristic, complemented
162#19098421C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic
164#19098420C2211yescharacteristic
165#19098420C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×C22⋊Q8×C79C2211yescharacteristic, complemented
175C2×C22⋊Q8×C79C2211yescharacteristic, complemented
176C2×C4×D4×C79C2211yescharacteristic
177C22×C4⋊C4×C79C2211yescharacteristic, complemented
178#399×C79C2211yescharacteristic, complemented
179#398×C79C2211yescharacteristic, complemented
180#396×C79C2211yescharacteristic, complemented
181#395×C79C2211yescharacteristic, complemented
182#389×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C2×D4×D79—24no—
198C2×D4×D79—24no—
199C2×D4×D79Q818yescomplemented
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79—24no—
205C22×C4×D79—24no—
206C22×C4×D79—42no—
207C22×C4×D79—42no—
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223#14579141—24no—
224#14579141—24no—
225#14579140—24no—
226#14579139—24no—
227#14579139—24no—
228#14579139—24no—
229#14579139—24no—
230#14579139—42no—
231#14579138—24no—
232#14579138—24no—
233#14579138—42no—
234#14579137—24no—
235#14579137—24no—
236#14579137—42no—
237C4×D316—24no—
238D4×Dic79—24no—
239#14579123—24no—
240C4×C22⋊D79—24no—
241C4×C22⋊D79—24no—
242(C22⋊D79)⋊C4—24no—
243(C22⋊D79)⋊C4—24no—
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⋊C4—42no—
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
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C4⋊C4×D79—24no—
274C4⋊C4×D79—42no—
275C4⋊C4×D79—42no—
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×(C2×D79)⋊C4—24no—
285C2×(C2×D79)⋊C4—24no—
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(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
310C22⋊C4×D79—24no—
311C22⋊C4×D79—24no—
312C22⋊C4×D79—24no—
313C22⋊C4×D79D418yes—
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C42×D79—24no—
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
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C22×Q8×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354C23×C4×C79C2311yescharacteristic
355C23×C4×C79C2311yescharacteristic
356C22⋊Q8×C79—24no—
357C22⋊Q8×C79—42no—
358C4×D4×C79—24no—
359C2×C4⋊C4×C79—42no—
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389C23×D79—22no—
390C23×D79—22no—
391C23×D79—41no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79—41no—
399C23×D79C2×D414yes—
400C23×D79C2×Q814yes—
401C23×D79C2×Q814yes—
402C23×D79#4114yes—
403C23×D79C2411yescharacteristic
404C23×D79C2411yescharacteristic
405C23×D79C2411yescharacteristic
406C2×Dic158—22no—
407C2×Dic158—22no—
408C2×Dic158—22no—
409C2×Dic158—41no—
410C2×Dic158—41no—
411C2×Dic158—41no—
412C2×Dic158—41no—
413C2×Dic158—41no—
414C2×Dic158—41no—
415C2×D316—22no—
416C2×D316—22no—
417C2×D316C2×Q814yes—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79C2×Q814yes—
423C2×C22⋊D79C2×Q814yes—
424D4×D79—232no—
425C22×Dic79—22no—
426C22×Dic79—22no—
427C22×Dic79—22no—
428C22×Dic79—22no—
429C22×Dic79—22no—
430C22×Dic79—22no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79—41no—
435C22×Dic79—41no—
436C22×Dic79—41no—
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
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—22no—
457C2×C4×D79—22no—
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—41no—
473C2×C4×D79—41no—
474C2×C4×D79—41no—
475C2×C4×D79—41no—
476C2×C4×D79—41no—
477C2×C4×D79—41no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—41no—
481C2×C4×D79—41no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—416no—
487C2×C4×D79—416no—
488C2×C4×D79C2×D414yes—
489C2×C4×D79C2×D414yes—
490C2×C4×D79C2×Q814yes—
491C4⋊Dic79—22no—
492C4⋊Dic79—22no—
493C4⋊Dic79—22no—
494C4⋊Dic79—22no—
495C4⋊Dic79—22no—
496C4⋊Dic79—41no—
497C4⋊Dic79—41no—
498C4⋊Dic79—41no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505Dic79⋊C4—22no—
506Dic79⋊C4—22no—
507Dic79⋊C4—22no—
508Dic79⋊C4—22no—
509Dic79⋊C4—22no—
510Dic79⋊C4—22no—
511Dic79⋊C4—41no—
512Dic79⋊C4—41no—
513Dic79⋊C4—41no—
514Dic79⋊C4—41no—
515Dic79⋊C4—41no—
516Dic79⋊C4—41no—
517Dic79⋊C4—41no—
518Dic79⋊C4—41no—
519C22⋊Dic79—22no—
520C22⋊Dic79—22no—
521C22⋊Dic79—22no—
522C22⋊Dic79—41no—
523C22⋊Dic79—41no—
524C22⋊Dic79—41no—
525C22⋊Dic79—41no—
526C22⋊Dic79C2×D414yes—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
540(C2×D79)⋊C4—22no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546(C2×D79)⋊C4—41no—
547(C2×D79)⋊C4—41no—
548(C2×D79)⋊C4—41no—
549(C2×D79)⋊C4C2×D414yes—
550(C2×D79)⋊C4C2×D414yes—
551C4×Dic79—22no—
552C4×Dic79—22no—
553C4×Dic79—22no—
554C24×C79C2411yescharacteristic
555C24×C79C2411yescharacteristic
556C2×Q8×C79—22no—
557C2×Q8×C79—41no—
558C2×Q8×C79—41no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79C2×Q814yes—
562C22×C4×C79—22no—
563C22×C4×C79—22no—
564C22×C4×C79—22no—
565C22×C4×C79—22no—
566C22×C4×C79—22no—
567C22×C4×C79—22no—
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×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C22×C4×C79C2411yescharacteristic
587C4⋊C4×C79—22no—
588C4⋊C4×C79—22no—
589C4⋊C4×C79—22no—
590C4⋊C4×C79—22no—
591C4⋊C4×C79—22no—
592C4⋊C4×C79—22no—
593C4⋊C4×C79—22no—
594C4⋊C4×C79—41no—
595C4⋊C4×C79—41no—
596C4⋊C4×C79—41no—
597C4⋊C4×C79—41no—
598C4⋊C4×C79—41no—
599C22⋊C4×C79—22no—
600C22⋊C4×C79—22no—
601C22⋊C4×C79—22no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C22⋊C4×C79—41no—
606C22⋊C4×C79C2×D414yes—
607C42×C79—22no—
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×C79C22×D412yes—
619C23×C79C22×Q812yes—
620C23×C79C22×Q812yes—
621C23×C79C2×#4112yes—
622C23×C79C2511yescharacteristic
623C22×D79—21no—
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—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—28no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—44no—
642C22×D79—44no—
643C22×D79—44no—
644C22×D79—44no—
645C22×D79—44no—
646C22×D79—44no—
647C22×D79—44no—
648C22×D79—44no—
649C22×D79—44no—
650C22×D79C22⋊Q8116yescomplemented
651C22×D79C22×D412yes—
652C22×D79C22×D412yes—
653C22×D79C22×Q812yes—
654C22×D79C22×Q812yes—
655C22×D79C22×Q812yes—
656C22×D79C2×#4112yes—
657C22×D79C2×#4112yes—
658Q8×C79—82no—
659D4×C79—28no—
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—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
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—44no—
696C2×C4×C79—44no—
697C2×C4×C79—44no—
698C2×C4×C79—82no—
699C2×C4×C79C22×D412yes—
700C2×C4×C79C22×D412yes—
701C2×C4×C79C22×Q812yes—
702C2×C4×C79H(5,𝔽2)12yes—
703C22⋊D79—28no—
704C22⋊D79—28no—
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—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—44no—
741C2×Dic79—44no—
742C2×Dic79—44no—
743C2×Dic79—82no—
744C2×Dic79C22×D412yes—
745C2×Dic79C22×D412yes—
746C2×Dic79C22×Q812yes—
747C2×Dic79H(5,𝔽2)12yes—
748D316—28no—
749C4×D79—28no—
750C4×D79—28no—
751C4×D79—44no—
752C4×D79—44no—
753C4×D79—44no—
754C4×D79—44no—
755C4×D79—44no—
756C4×D79—44no—
757C4×D79—44no—
758C4×D79—44no—
759C4×D79—44no—
760C4×D79—82no—
761C4×D79—82no—
762Dic158—82no—
763Dic158—82no—
764Dic158—82no—
765C22×C79—22no—
766C22×C79—22no—
767C22×C79—22no—
768C22×C79—22no—
769C22×C79—22no—
770C22×C79—22no—
771C22×C79—22no—
772C22×C79—22no—
773C22×C79—22no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79C2×C22⋊Q814yes—
779C22×C79C23×D411yescharacteristic
780C22×C79C23×Q811yescharacteristic
781C22×C79C22×#4111yescharacteristic
782C22×C79C2×H(5,𝔽2)11yescharacteristic
783C22×C79C2×H(5,𝔽2)11yescharacteristic
784C22×C79#58511yescharacteristic
785C22×C79#58511yescharacteristic
786C2×D79—22no—
787C2×D79—22no—
788C2×D79—22no—
789C2×D79—22no—
790C2×D79—22no—
791C2×D79—22no—
792C2×D79—22no—
793C2×D79—22no—
794C2×D79—22no—
795C2×D79—22no—
796C2×D79—22no—
797C2×D79—22no—
798C2×D79—22no—
799C2×D79—22no—
800C2×D79—22no—
801C2×D79—416no—
802C2×D79—416no—
803C2×D79—41no—
804C2×D79—41no—
805C2×D79—41no—
806C2×D79—41no—
807C2×D79C2×C22⋊Q814yes—
808C2×D79C2×C22⋊Q814yes—
809C4×C79—22no—
810C4×C79—22no—
811C4×C79—22no—
812C4×C79—22no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79—41no—
816C4×C79—41no—
817C4×C79—41no—
818C4×C79—41no—
819C4×C79—41no—
820C4×C79—41no—
821C4×C79—41no—
822Dic79—22no—
823Dic79—22no—
824Dic79—22no—
825Dic79—22no—
826Dic79—41no—
827Dic79—41no—
828Dic79—41no—
829Dic79—41no—
830Dic79—41no—
831Dic79—41no—
832Dic79—41no—
833Dic79—41no—
834Dic79—41no—
835#34985—791nomaximal, Sylow
836C2×C79—24no—
837C2×C79—42no—
838C2×C79C22×C22⋊Q811yescharacteristic
839C2×C79#345911yescharacteristic
840C2×C79#345911yescharacteristic
841C2×C79#348411yescharacteristic
842C2×C79#348511yescharacteristic
843C2×C79#350111yescharacteristic
844C2×C79#350111yescharacteristic
845D79—24no—
846D79—24no—
847D79—42no—
848C2×#543—791no—
849C22×C4×D4—791no—
850#2855—791no—
851#2855—791no—
852#2848—791no—
853#2848—791no—
854#2627—791no—
855#2627—791no—
856#2626—791no—
857#2626—791no—
858#2450—791no—
859#2450—791no—
860#2450—791no—
861#2450—791no—
862#2450—791no—
863#2450—791no—
864#2450—791no—
865#2450—791no—
866#2449—791no—
867#2449—791no—
868#2449—791no—
869#2449—791no—
870#2449—791no—
871#2449—791no—
872#2449—791no—
873#2449D7911yescharacteristic, complemented
874#2315—791no—
875#2308—791no—
876#2308—791no—
877C2×#385—791no—
878C2×#385—791no—
879C79#3498511yescharacteristic, complemented, Sylow
880C23×D4—791no—
881C24×C4—791no—
882C24×C4—791no—
883#543—1588no—
884C2×C22⋊Q8—791no—
885C2×C22⋊Q8—791no—
886C2×C22⋊Q8—791no—
887C2×C22⋊Q8—791no—
888C2×C22⋊Q8—791no—
889C2×C22⋊Q8—791no—
890C2×C22⋊Q8—791no—
891C2×C22⋊Q8—791no—
892C2×C22⋊Q8—791no—
893C2×C22⋊Q8—791no—
894C2×C22⋊Q8—791no—
895C2×C22⋊Q8—791no—
896C2×C22⋊Q8—791no—
897C2×C22⋊Q8—791no—
898C2×C22⋊Q8C2×D7911yescharacteristic, complemented
899C2×C22⋊Q8C2×D7911yescharacteristic, complemented
900C2×C4×D4—791no—
901C2×C4×D4—791no—
902C2×C4×D4—791no—
903C2×C4×D4—791no—
904C2×C4×D4—791no—
905C2×C4×D4—791no—
906C2×C4×D4—791no—
907C2×C4×D4—1588no—
908C2×C4×D4C2×D7911yescharacteristic
909C22×C4⋊C4—791no—
910C22×C4⋊C4—791no—
911C22×C4⋊C4—791no—
912C22×C4⋊C4—791no—
913C22×C4⋊C4C2×D7911yescharacteristic, complemented
914C22×C22⋊C4—791no—
915C22×C22⋊C4—791no—
916C22×C22⋊C4—791no—
917C22×C22⋊C4—791no—
918C22×C22⋊C4—791no—
919C22×C22⋊C4—791no—
920C22×C42—791no—
921#400—791no—
922#400—791no—
923#400—791no—
924#400—791no—
925#399—791no—
926#399—791no—
927#399—791no—
928#399C2×D7911yescharacteristic, complemented
929#398—791no—
930#398—791no—
931#398—791no—
932#398—791no—
933#398—791no—
934#398—791no—
935#398—791no—
936#398C2×D7911yescharacteristic, complemented
937#396—791no—
938#396—791no—
939#396—791no—
940#396—791no—
941#396—791no—
942#396—791no—
943#396—791no—
944#396C2×D7911yescharacteristic, complemented
945#395—791no—
946#395—791no—
947#395—791no—
948#395C2×D7911yescharacteristic, complemented
949#393—791no—
950#393—791no—
951#393—791no—
952#393—791no—
953#391—791no—
954#391—791no—
955#391—791no—
956#391—791no—
957#389—791no—
958#389—791no—
959#389—791no—
960#389C2×D7911yescharacteristic, complemented
961#387—791no—
962#387—791no—
963#387—791no—
964#387—791no—
965#387—791no—
966#387—791no—
967#387—791no—
968#387C2×D7911yescharacteristic, complemented
969#386—791no—
970#386—791no—
971#386—791no—
972#386—791no—
973#386—791no—
974#386—791no—
975#386—791no—
976#386—791no—
977#386—791no—
978#386—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386C2×D7911yescharacteristic
984#386C2×D7911yescharacteristic
985#385—791no—
986#385—791no—
987#385—791no—
988#385—791no—
989#385—791no—
990#385—791no—
991#385—791no—
992#385—791no—
993#385—791no—
994#385—791no—
995#385—791no—
996#385—791no—
997#385—791no—
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385—791no—
1012#385—791no—
1013#385—791no—
1014#385C2×D7911yescharacteristic, complemented
1015#385C2×D7911yescharacteristic, complemented
1016#385C2×D7911yescharacteristic, complemented
1017#381—791no—
1018#381—791no—
1019#381—791no—
1020#381—791no—
1021#380—791no—
1022#380—791no—
1023#380—791no—
1024#380—791no—
1025#380—791no—
1026#380—791no—
1027#380—791no—
1028#380—791no—
1029#379—791no—
1030#379—791no—
1031#379—791no—
1032#379—791no—
1033C2×#95—791no—
1034C2×#95—791no—
1035C2×#95—791no—
1036C2×#95—791no—
1037C25—791no—
1038C25—791no—
1039C22×Q8—791no—
1040C22×Q8—791no—
1041C22×Q8—791no—
1042C22×Q8C22×D7911yescharacteristic
1043C22×D4—791no—
1044C22×D4—791no—
1045C22×D4—798no—
1046C22×D4—791no—
1047C22×D4—1584no—
1048C22×D4—1584no—
1049C22×D4C22×D7911yescharacteristic
1050C23×C4—3162no—
1051C23×C4—3162no—
1052C23×C4—3162no—
1053C23×C4—3162no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4—791no—
1058C23×C4—791no—
1059C23×C4—791no—
1060C23×C4—791no—
1061C23×C4—791no—
1062C23×C4—791no—
1063C23×C4—791no—
1064C23×C4—791no—
1065C23×C4—791no—
1066C23×C4—791no—
1067C23×C4—791no—
1068C23×C4—791no—
1069C23×C4—791no—
1070C23×C4—791no—
1071C23×C4—1584no—
1072C23×C4—1584no—
1073C23×C4C22×D7911yescharacteristic
1074C23×C4C22×D7911yescharacteristic
1075C23×C4C22×D7911yescharacteristic
1076C23×C4C22×D7911yescharacteristic
1077C22⋊Q8—24no—
1078C22⋊Q8—42no—
1079C22⋊Q8—3162no—
1080C22⋊Q8—3162no—
1081C22⋊Q8—3162no—
1082C22⋊Q8—1584no—
1083C22⋊Q8—1584no—
1084C22⋊Q8—1584no—
1085C22⋊Q8—1584no—
1086C22⋊Q8—1584no—
1087C22⋊Q8—1584no—
1088C22⋊Q8—1584no—
1089C22⋊Q8—1584no—
1090C22⋊Q8—1584no—
1091C22⋊Q8—1584no—
1092C22⋊Q8—1584no—
1093C4×D4—24no—
1094C4×D4—1584no—
1095C4×D4—1584no—
1096C4×D4—1584no—
1097C4×D4—1584no—
1098C4×D4—1584no—
1099C4×D4—1584no—
1100C4×D4—1584no—
1101C2×C4⋊C4—42no—
1102C2×C4⋊C4—3162no—
1103C2×C4⋊C4—3162no—
1104C2×C4⋊C4—3162no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—791no—
1110C2×C4⋊C4—791no—
1111C2×C4⋊C4—791no—
1112C2×C4⋊C4—791no—
1113C2×C4⋊C4—791no—
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—1584no—
1134C2×C4⋊C4C22×D7911yescharacteristic
1135C2×C4⋊C4C22×D7911yescharacteristic
1136C2×C4⋊C4C22×D7911yescharacteristic
1137C2×C4⋊C4C22×D7911yescharacteristic
1138C2×C4⋊C4C22×D7911yescharacteristic
1139C2×C4⋊C4C22×D7911yescharacteristic
1140C2×C4⋊C4C22×D7911yescharacteristic
1141C2×C4⋊C4C22×D7911yescharacteristic
1142C2×C4⋊C4C22×D7911yescharacteristic
1143C2×C4⋊C4C22×D7911yescharacteristic
1144C2×C4⋊C4C22×D7911yescharacteristic
1145C2×C4⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
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—798no—
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—1584no—
1180C2×C22⋊C4—1584no—
1181C2×C22⋊C4—1584no—
1182C2×C22⋊C4—1584no—
1183C2×C22⋊C4—1584no—
1184C2×C22⋊C4C22×D7911yescharacteristic
1185C2×C22⋊C4C22×D7911yescharacteristic
1186C2×C22⋊C4C22×D7911yescharacteristic
1187C2×C22⋊C4C22×D7911yescharacteristic
1188C2×C22⋊C4C22×D7911yescharacteristic
1189C2×C22⋊C4C22×D7911yescharacteristic
1190C2×C22⋊C4C22×D7911yescharacteristic
1191C2×C22⋊C4C22×D7911yescharacteristic
1192C2×C42—791no—
1193C2×C42—791no—
1194C2×C42—791no—
1195C2×C42—1584no—
1196C2×C42C22×D7911yescharacteristic
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#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95—791no—
1212#95—791no—
1213#95—791no—
1214#95—791no—
1215#95—791no—
1216#95—791no—
1217#95—791no—
1218#95—791no—
1219#95—791no—
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95C22×D7911yescharacteristic
1230#95C22×D7911yescharacteristic
1231#95C22×D7911yescharacteristic
1232#95C22×D7911yescharacteristic
1233#95C22×D7911yescharacteristic
1234#95C22×D7911yescharacteristic
1235#95C22×D7911yescharacteristic
1236#95C22×D7911yescharacteristic
1237C24—3161no—
1238C24—3161no—
1239C24—3161no—
1240C24—3161no—
1241C24—3161no—
1242C24—3161no—
1243C24—3161no—
1244C24—3161no—
1245C24—794no—
1246C24—794no—
1247C24—794no—
1248C24—794no—
1249C24—791no—
1250C24—791no—
1251C24—791no—
1252C24—1582no—
1253C24—1582no—
1254C24C23×D7911yescharacteristic
1255C24C23×D7911yescharacteristic
1256C2×Q8—22no—
1257C2×Q8—41no—
1258C2×Q8—41no—
1259C2×Q8—3161no—
1260C2×Q8—3161no—
1261C2×Q8—3161no—
1262C2×Q8—3161no—
1263C2×Q8—3161no—
1264C2×Q8—3161no—
1265C2×Q8—1582no—
1266C2×Q8—1582no—
1267C2×Q8—1582no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—794no—
1271C2×D4—794no—
1272C2×D4—794no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—15832no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4Q8×D7914yes—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—3161no—
1302C22×C4—3161no—
1303C22×C4—3161no—
1304C22×C4—3161no—
1305C22×C4—3161no—
1306C22×C4—3161no—
1307C22×C4—3161no—
1308C22×C4—3161no—
1309C22×C4—3161no—
1310C22×C4—3161no—
1311C22×C4—31616no—
1312C22×C4—31616no—
1313C22×C4—3161no—
1314C22×C4—3161no—
1315C22×C4—3161no—
1316C22×C4—3161no—
1317C22×C4—3161no—
1318C22×C4—3161no—
1319C22×C4—794no—
1320C22×C4—794no—
1321C22×C4—791no—
1322C22×C4—791no—
1323C22×C4—791no—
1324C22×C4—791no—
1325C22×C4—794no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—791no—
1329C22×C4—791no—
1330C22×C4—791no—
1331C22×C4—791no—
1332C22×C4—791no—
1333C22×C4—791no—
1334C22×C4—791no—
1335C22×C4—1582no—
1336C22×C4—1582no—
1337C22×C4—1582no—
1338C22×C4—1582no—
1339C22×C4—1582no—
1340C22×C4—1582no—
1341C22×C4—1582no—
1342C22×C4—1582no—
1343C22×C4—1582no—
1344C22×C4—1582no—
1345C22×C4—1582no—
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×C4—1582no—
1357C22×C4—1582no—
1358C22×C4—1582no—
1359C22×C4C23×D7911yescharacteristic
1360C22×C4C23×D7911yescharacteristic
1361C22×C4C23×D7911yescharacteristic
1362C22×C4C23×D7911yescharacteristic
1363C22×C4C23×D7911yescharacteristic
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7911yescharacteristic
1366C22×C4C23×D7911yescharacteristic
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371C22×C4C23×D7911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—3161no—
1385C4⋊C4—3161no—
1386C4⋊C4—3161no—
1387C4⋊C4—3161no—
1388C4⋊C4—3161no—
1389C4⋊C4—3161no—
1390C4⋊C4—3161no—
1391C4⋊C4—3161no—
1392C4⋊C4—3161no—
1393C4⋊C4—3161no—
1394C4⋊C4—3161no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4—1582no—
1405C4⋊C4—1582no—
1406C4⋊C4—1582no—
1407C4⋊C4—1582no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C4⋊C4—1582no—
1411C4⋊C4—1582no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—3161no—
1420C22⋊C4—3161no—
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—794no—
1432C22⋊C4—794no—
1433C22⋊C4—794no—
1434C22⋊C4—1582no—
1435C22⋊C4—1582no—
1436C22⋊C4—1582no—
1437C22⋊C4—1582no—
1438C22⋊C4—1582no—
1439C22⋊C4—1582no—
1440C22⋊C4—1582no—
1441C22⋊C4—1582no—
1442C22⋊C4—1582no—
1443C22⋊C4—1582no—
1444C22⋊C4—1582no—
1445C22⋊C4—1582no—
1446C22⋊C4—1582no—
1447C22⋊C4—1582no—
1448C22⋊C4—1582no—
1449C22⋊C4—1582no—
1450C22⋊C4—1582no—
1451C22⋊C4D4×D7914yes—
1452C42—22no—
1453C42—1582no—
1454C42—1582no—
1455C42—1582no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—3164no—
1467C23—3164no—
1468C23—3164no—
1469C23—3164no—
1470C23—3164no—
1471C23—3164no—
1472C23—3164no—
1473C23—3164no—
1474C23—3164no—
1475C23—3164no—
1476C23—3164no—
1477C23—3164no—
1478C23—7916no—
1479C23—792no—
1480C23—792no—
1481C23—792no—
1482C23—792no—
1483C23—792no—
1484C23—792no—
1485C23—792no—
1486C23—1588no—
1487C23—1581no—
1488C23—1581no—
1489C23—1581no—
1490C23—1581no—
1491C23—1581no—
1492C23—1581no—
1493C23—1581no—
1494C23—1581no—
1495C23—1581no—
1496C23—1581no—
1497C23—1581no—
1498C23—1581no—
1499C23—1581no—
1500C23—1581no—
1501C23C2×D4×D7912yes—
1502C23C2×Q8×D7912yes—
1503C23C2×Q8×D7912yes—
1504C23#41×D7912yes—
1505C23C24×D7911yescharacteristic
1506Q8—82no—
1507Q8—6322no—
1508Q8—6322no—
1509Q8—6322no—
1510D4—28no—
1511D4—1588no—
1512D4—1588no—
1513D4—1588no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—82no—
1553C2×C4—3164no—
1554C2×C4—3164no—
1555C2×C4—3164no—
1556C2×C4—3164no—
1557C2×C4—3164no—
1558C2×C4—3164no—
1559C2×C4—3164no—
1560C2×C4—3164no—
1561C2×C4—3164no—
1562C2×C4—3164no—
1563C2×C4—3164no—
1564C2×C4—3164no—
1565C2×C4—792no—
1566C2×C4—792no—
1567C2×C4—792no—
1568C2×C4—792no—
1569C2×C4—6322no—
1570C2×C4—6322no—
1571C2×C4—6322no—
1572C2×C4—1588no—
1573C2×C4—1588no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4—1581no—
1596C2×C4—1581no—
1597C2×C4—1581no—
1598C2×C4—1581no—
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×C4C2×D4×D7912yes—
1610C2×C4C2×D4×D7912yes—
1611C2×C4C2×Q8×D7912yes—
1612C2×C4#1457920612yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—31616no—
1627C22—31616no—
1628C22—3161no—
1629C22—3161no—
1630C22—3161no—
1631C22—3161no—
1632C22—794no—
1633C22—794no—
1634C22—1582no—
1635C22—1582no—
1636C22—1582no—
1637C22—1582no—
1638C22—1582no—
1639C22—1582no—
1640C22—1582no—
1641C22—1582no—
1642C22—1582no—
1643C22—1582no—
1644C22—1582no—
1645C22—1582no—
1646C22—1582no—
1647C22—1582no—
1648C22—1582no—
1649C22C22⋊Q8×D7914yes—
1650C22C22×D4×D7911yescharacteristic
1651C22C22×Q8×D7911yescharacteristic
1652C22C2×#41×D7911yescharacteristic
1653C22H(5,𝔽2)×D7911yescharacteristic
1654C22C2×#1457920611yescharacteristic
1655C22#1909939911yescharacteristic
1656C22#1909940011yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—3161no—
1671C4—3161no—
1672C4—3161no—
1673C4—3161no—
1674C4—3161no—
1675C4—3161no—
1676C4—3161no—
1677C4—3161no—
1678C4—3161no—
1679C4—1582no—
1680C4—1582no—
1681C4—1582no—
1682C4—1582no—
1683C2—24no—
1684C2—42no—
1685C2—3162no—
1686C2—1584no—
1687C2—1584no—
1688C2C2×C22⋊Q8×D7911yescharacteristic
1689C2#2377680711yescharacteristic
1690C2#2377680811yescharacteristic
1691C2#2377702811yescharacteristic
1692C2#2377703911yescharacteristic
1693C2#2377719511yescharacteristic
1694C2#2377719911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2449C2
prime radicalC22×D4×D79C22
hypercenter#2449D79
hypocenterC79#34985
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#19099188C2semidirect
3. #23771738C2semidirect
4. #23771735C2semidirect
5. #23771686C2semidirect
6. #23771684C2semidirect
7. #23769218C2semidirect
8. #23769212C2semidirect
9. #23769210C2semidirect
10. #23769206C2semidirect
11. #23767230C2semidirect
12. #23767229C2semidirect
13. #23767226C2semidirect
14. #23767225C2semidirect
15. #23767223C2semidirect
16. #23767222C2semidirect
17. #23767219C2semidirect
18. #23767218C2semidirect
19. #23767216C2semidirect
20. #23767213C2semidirect
21. #23767212C2semidirect
22. #23767209C2semidirect
23. #23767206C2semidirect
24. #23767205C2semidirect
25. #23767202C2semidirect
26. #23766011C2semidirect
29. C2×#19098434C2semidirect
30. #385×D79C2semidirect
31. C79×#2449C2semidirect
37. C2×#14579141C22semidirect
38. C2×#14579140C22semidirect
41. C2×#14579139C22semidirect
42. C2×#14579139C22semidirect
43. C2×#14579139C22semidirect
44. C2×#14579138C22semidirect
45. C2×#14579138C22semidirect
46. C2×#14579138C22semidirect
48. C2×#14579137C22semidirect
49. C2×#14579137C22semidirect
58. C22×Dic79⋊C4C22semidirect
60. C2×C4⋊C4×D79C22semidirect
61. C2×C4⋊C4×D79C22semidirect
69. #19098505C22semidirect
70. #19098504C22semidirect
71. #19098503C22semidirect
72. #19098502C22semidirect
73. #19098499C22semidirect
74. #19098498C22semidirect
75. #19098498C22semidirect
76. #19098497C22semidirect
77. #19098497C22semidirect
78. #19098496C22semidirect
79. #19098496C22semidirect
80. #19098494C22semidirect
81. #19098494C22semidirect
82. #19098493C22semidirect
83. #19098486C22semidirect
84. #19098486C22semidirect
85. #19098486C22semidirect
86. #19098485C22semidirect
87. #19098485C22semidirect
88. #19098485C22semidirect
89. #19098485C22semidirect
90. #19098484C22semidirect
91. #19098483C22semidirect
92. #19098482C22semidirect
93. #19098476C22semidirect
94. #19098476C22semidirect
95. #19098475C22semidirect
96. #19098475C22semidirect
97. #19098469C22semidirect
98. #19098468C22semidirect
99. #19098467C22semidirect
100. #19098467C22semidirect
101. #19098460C22semidirect
102. #19098459C22semidirect
103. #19098458C22semidirect
104. #19098450C22semidirect
105. #19098450C22semidirect
106. #19098449C22semidirect
107. #19098449C22semidirect
108. #19098448C22semidirect
109. #19098447C22semidirect
110. #19098444C22semidirect
125. #19098438C22semidirect
126. #19098438C22semidirect
129. #19098437C22semidirect
130. #19098437C22semidirect
131. #19098437C22semidirect
132. #19098436C22semidirect
133. #19098436C22semidirect
134. #19098436C22semidirect
135. #19098435C22semidirect
136. #19098435C22semidirect
137. #19098435C22semidirect
138. #19098435C22semidirect
145. #19098434C22semidirect
146. #19098434C22semidirect
147. #19098434C22semidirect
148. #19098434C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098434C22semidirect
153. #19098434C22semidirect
158. #19098423C22semidirect
161. #19098422C22semidirect
162. #19098421C22semidirect
165. #19098420C22semidirect
170. C2×C79⋊#95C22semidirect
171. C2×C79⋊#95C22semidirect
172. #95×D79C22semidirect
173. #95×D79C22semidirect
174. C2×C22⋊Q8×C79C22semidirect
175. C2×C22⋊Q8×C79C22semidirect
177. C22×C4⋊C4×C79C22semidirect
178. #399×C79C22semidirect
179. #398×C79C22semidirect
180. #396×C79C22semidirect
181. #395×C79C22semidirect
182. #389×C79C22semidirect
183. #387×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. #385×C79C22semidirect
199. C2×D4×D79Q8semidirect
650. C22×D79C22⋊Q8semidirect
873. #2449D79semidirect
879. C79#34985semidirect
898. C2×C22⋊Q8C2×D79semidirect
899. C2×C22⋊Q8C2×D79semidirect
913. C22×C4⋊C4C2×D79semidirect
928. #399C2×D79semidirect
936. #398C2×D79semidirect
944. #396C2×D79semidirect
948. #395C2×D79semidirect
960. #389C2×D79semidirect
968. #387C2×D79semidirect
1014. #385C2×D79semidirect
1015. #385C2×D79semidirect
1016. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991882
C2×C4×D4×D792
#237717382
#237717352
#237716862
#237716842
#237692182
#237692122
#237692102
#237692062
#237672302
#237672292
#237672262
#237672252
#237672232
#237672222
#237672192
#237672182
#237672162
#237672132
#237672122
#237672092
#237672062
#237672052
#237672022
#237660112
#237659742
C2×#190984342
#385×D792
C79×#24492
#3498579