Finite Group Databasebeta

← #34460997

Subgroups — #34460997

Order 20224.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099188C211yesmaximal, characteristic, complemented
2C2×#19099124C211yesmaximal, characteristic
3#23771704C211yesmaximal, characteristic, complemented
4#23771702C211yesmaximal, characteristic, complemented
5#23771698C211yesmaximal, characteristic, complemented
6#23771698C211yesmaximal, characteristic, complemented
7#23769332C211yesmaximal, characteristic, complemented
8#23769332C211yesmaximal, characteristic, complemented
9#23769329C211yesmaximal, characteristic, complemented
10#23769327C211yesmaximal, characteristic, complemented
11#23767733C211yesmaximal, characteristic, complemented
12#23767730C211yesmaximal, characteristic, complemented
13#23767727C211yesmaximal, characteristic, complemented
14#23767726C211yesmaximal, characteristic, complemented
15#23767723C211yesmaximal, characteristic, complemented
16#23767722C211yesmaximal, characteristic, complemented
17#23767721C211yesmaximal, characteristic, complemented
18#23767533C211yesmaximal, characteristic, complemented
19#23767531C211yesmaximal, characteristic, complemented
20#23767530C211yesmaximal, characteristic, complemented
21#23767529C211yesmaximal, characteristic, complemented
22#23767528C211yesmaximal, characteristic, complemented
23#23767526C211yesmaximal, characteristic, complemented
24#23767524C211yesmaximal, characteristic, complemented
25#23767519C211yesmaximal, characteristic, complemented
26#23765977C211yesmaximal, characteristic, complemented
27#23765974C211yesmaximal, characteristic, complemented
28C2×#19098441C211yesmaximal, characteristic, complemented
29#386×D79C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2488C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic
35#19099188—28no—
36#19099124—28no—
37C2×#14579150C2211yescharacteristic, complemented
38C2×#14579149C2211yescharacteristic, complemented
39C2×#14579147C2211yescharacteristic, complemented
40C2×#14579147C2211yescharacteristic, complemented
41C2×#14579146C2211yescharacteristic
42C2×#14579146C2211yescharacteristic
43C2×#14579144C2211yescharacteristic
44C2×#14579141C2211yescharacteristic, complemented
45C2×#14579141C2211yescharacteristic, complemented
46C2×#14579140C2211yescharacteristic, complemented
47C2×#14579139C2211yescharacteristic, complemented
48C2×#14579139C2211yescharacteristic, complemented
49C2×#14579139C2211yescharacteristic, complemented
50C2×#14579139C2211yescharacteristic, complemented
51C2×#14579138C2211yescharacteristic, complemented
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579137C2211yescharacteristic, complemented
54C2×#14579137C2211yescharacteristic, complemented
55C2×#14579136C2211yescharacteristic
56C2×#14579136C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579134C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579129C2211yescharacteristic
63C22×(C2×D79)⋊C4C2211yescharacteristic
64C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
65C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic, complemented
70C2×C22⋊C4×D79C2211yescharacteristic, complemented
71C2×C42×D79C2211yescharacteristic, complemented
72C2×C42×D79C2211yescharacteristic, complemented
73#19098505C2211yescharacteristic, complemented
74#19098505C2211yescharacteristic, complemented
75#19098504C2211yescharacteristic, complemented
76#19098504C2211yescharacteristic, complemented
77#19098501C2211yescharacteristic, complemented
78#19098501C2211yescharacteristic, complemented
79#19098492C2211yescharacteristic, complemented
80#19098492C2211yescharacteristic, complemented
81#19098492C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic, complemented
83#19098490C2211yescharacteristic, complemented
84#19098489C2211yescharacteristic, complemented
85#19098488C2211yescharacteristic, complemented
86#19098481C2211yescharacteristic, complemented
87#19098481C2211yescharacteristic, complemented
88#19098480C2211yescharacteristic, complemented
89#19098480C2211yescharacteristic, complemented
90#19098479C2211yescharacteristic, complemented
91#19098479C2211yescharacteristic, complemented
92#19098478C2211yescharacteristic, complemented
93#19098478C2211yescharacteristic, complemented
94#19098476C2211yescharacteristic, complemented
95#19098476C2211yescharacteristic, complemented
96#19098476C2211yescharacteristic, complemented
97#19098476C2211yescharacteristic, complemented
98#19098476C2211yescharacteristic, complemented
99#19098475C2211yescharacteristic, complemented
100#19098474C2211yescharacteristic, complemented
101#19098468C2211yescharacteristic, complemented
102#19098467C2211yescharacteristic, complemented
103#19098467C2211yescharacteristic, complemented
104#19098465C2211yescharacteristic, complemented
105#19098464C2211yescharacteristic, complemented
106#19098463C2211yescharacteristic, complemented
107#19098463C2211yescharacteristic, complemented
108#19098457C2211yescharacteristic, complemented
109#19098457C2211yescharacteristic, complemented
110#19098455C2211yescharacteristic, complemented
111#19098455C2211yescharacteristic, complemented
112#19098455C2211yescharacteristic, complemented
113#19098455C2211yescharacteristic, complemented
114#19098454C2211yescharacteristic, complemented
115#19098454C2211yescharacteristic, complemented
116#19098453C2211yescharacteristic, complemented
117#19098453C2211yescharacteristic, complemented
118#19098452C2211yescharacteristic, complemented
119#19098452C2211yescharacteristic, complemented
120#19098452C2211yescharacteristic, complemented
121#19098452C2211yescharacteristic, complemented
122#19098443C2211yescharacteristic
123#19098443C2211yescharacteristic
124#19098442C2211yescharacteristic
125#19098442C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic, complemented
136#19098441C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic, complemented
140#19098441C2211yescharacteristic, complemented
141#19098441C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic, complemented
143#19098441C2211yescharacteristic, complemented
144#19098441C2211yescharacteristic, complemented
145#19098441C2211yescharacteristic, complemented
146#19098440C2211yescharacteristic
147#19098440C2211yescharacteristic
148#19098439C2211yescharacteristic, complemented
149#19098439C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098428C2211yescharacteristic, complemented
153#19098427C2211yescharacteristic, complemented
154#19098427C2211yescharacteristic, complemented
155#19098426C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic, complemented
157#19098425C2211yescharacteristic, complemented
158#19098418C2211yescharacteristic, complemented
159#19098418C2211yescharacteristic, complemented
160#19098418C2211yescharacteristic, complemented
161#19098418C2211yescharacteristic, complemented
162C22⋊C4×Dic79C2211yescharacteristic, complemented
163C22⋊C4×Dic79C2211yescharacteristic, complemented
164C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic79C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic, complemented
169C2×C79⋊#95C2211yescharacteristic, complemented
170#95×D79C2211yescharacteristic, complemented
171#95×D79C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic
175C2×C22⋊Q8×C79C2211yescharacteristic, complemented
176#400×C79C2211yescharacteristic, complemented
177#400×C79C2211yescharacteristic, complemented
178#397×C79C2211yescharacteristic, complemented
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#382×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C2×#95×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C24×D79C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×D316—24no—
196C22×D316—24no—
197C22×D316—24no—
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
202C22×D316C2311yescharacteristic
203C22×D316C2311yescharacteristic
204C22×D316C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C2×D4×D79—24no—
210C2×D4×D79—24no—
211C2×D4×D79—24no—
212C23×Dic79C2311yescharacteristic
213C23×Dic79C2311yescharacteristic
214C22×C4×D79—24no—
215C22×C4×D79—42no—
216C22×C4×D79—42no—
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2311yescharacteristic
227C22×C4×D79C2311yescharacteristic
228#14579150—42no—
229#14579149—42no—
230#14579147—42no—
231#14579147—42no—
232#14579146—24no—
233#14579146—24no—
234#14579144—24no—
235#14579141—24no—
236#14579141—24no—
237#14579140—24no—
238#14579139—24no—
239#14579139—24no—
240#14579139—24no—
241#14579139—24no—
242#14579138—24no—
243#14579138—24no—
244#14579137—24no—
245#14579137—24no—
246#14579136—24no—
247#14579136—24no—
248#14579134—24no—
249#14579134—24no—
250#14579131—24no—
251#14579131—24no—
252#14579131—24no—
253#14579129—24no—
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×(C2×D79)⋊C4—24no—
273C2×(C2×D79)⋊C4—42no—
274C2×(C2×D79)⋊C4—42no—
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
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
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C22⋊C4×D79—24no—
316C22⋊C4×D79—24no—
317C22⋊C4×D79—42no—
318C22⋊C4×D79—42no—
319C22⋊C4×D79D418yes—
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C2×C4×Dic79C2311yescharacteristic
325C2×C4×Dic79C2311yescharacteristic
326C42×D79—42no—
327C42×D79—42no—
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
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C22×Q8×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358C23×C4×C79C2311yescharacteristic
359#123×C79—24no—
360C22⋊Q8×C79—24no—
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C42×C79C2311yescharacteristic
376C2×C42×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×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
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—22no—
397C23×D79—41no—
398C23×D79—41no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79—41no—
406C23×D79—41no—
407C23×D79—41no—
408C23×D79—41no—
409C23×D79C2×D414yes—
410C23×D79#4114yes—
411C23×D79#4114yes—
412C23×D79C2411yescharacteristic
413C23×D79C2411yescharacteristic
414C23×D79C2411yescharacteristic
415C23×D79C2411yescharacteristic
416C23×D79C2411yescharacteristic
417C2×Dic158—22no—
418C2×Dic158—22no—
419C2×Dic158—22no—
420C2×Dic158—41no—
421C2×Dic158—41no—
422C2×Dic158—41no—
423C2×Dic158—41no—
424C2×Dic158—41no—
425C2×Dic158—41no—
426C2×D316—22no—
427C2×D316—22no—
428C2×D316—22no—
429C2×D316—22no—
430C2×D316—22no—
431C2×D316—22no—
432C2×D316—22no—
433C2×D316—22no—
434C2×D316—22no—
435C2×D316—22no—
436C2×D316—22no—
437C2×D316—22no—
438C2×D316—22no—
439C2×D316—22no—
440C2×D316—22no—
441C2×D316—22no—
442C2×D316—22no—
443C2×D316—41no—
444C2×D316—41no—
445C2×D316—41no—
446C2×D316—41no—
447C2×D316—416no—
448C2×C22⋊D79—22no—
449C2×C22⋊D79—22no—
450C2×C22⋊D79—22no—
451C2×C22⋊D79—22no—
452C2×C22⋊D79—22no—
453C2×C22⋊D79—22no—
454C2×C22⋊D79—22no—
455C2×C22⋊D79—22no—
456C2×C22⋊D79—41no—
457C2×C22⋊D79—41no—
458C2×C22⋊D79—41no—
459C2×C22⋊D79—41no—
460D4×D79—416no—
461C22×Dic79—22no—
462C22×Dic79—22no—
463C22×Dic79—22no—
464C22×Dic79—41no—
465C22×Dic79—41no—
466C22×Dic79—41no—
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2411yescharacteristic
476C22×Dic79C2411yescharacteristic
477C22×Dic79C2411yescharacteristic
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—22no—
481C2×C4×D79—22no—
482C2×C4×D79—22no—
483C2×C4×D79—22no—
484C2×C4×D79—22no—
485C2×C4×D79—22no—
486C2×C4×D79—22no—
487C2×C4×D79—22no—
488C2×C4×D79—22no—
489C2×C4×D79—22no—
490C2×C4×D79—22no—
491C2×C4×D79—22no—
492C2×C4×D79—22no—
493C2×C4×D79—41no—
494C2×C4×D79—41no—
495C2×C4×D79—41no—
496C2×C4×D79—41no—
497C2×C4×D79—41no—
498C2×C4×D79—41no—
499C2×C4×D79—41no—
500C2×C4×D79—41no—
501C2×C4×D79—41no—
502C2×C4×D79—41no—
503C2×C4×D79—41no—
504C2×C4×D79—41no—
505C2×C4×D79—41no—
506C2×C4×D79—41no—
507C2×C4×D79—41no—
508C2×C4×D79—41no—
509C2×C4×D79—416no—
510C2×C4×D79C2×D414yes—
511C2×C4×D79C2×D414yes—
512C4⋊Dic79—22no—
513C4⋊Dic79—22no—
514C4⋊Dic79—22no—
515Dic79⋊C4—22no—
516Dic79⋊C4—22no—
517Dic79⋊C4—22no—
518Dic79⋊C4—22no—
519Dic79⋊C4—22no—
520Dic79⋊C4—22no—
521Dic79⋊C4—22no—
522Dic79⋊C4—22no—
523C22⋊Dic79—22no—
524C22⋊Dic79—22no—
525C22⋊Dic79—22no—
526C22⋊Dic79—41no—
527C22⋊Dic79—41no—
528C22⋊Dic79—41no—
529C22⋊Dic79C2×D414yes—
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—22no—
542(C2×D79)⋊C4—22no—
543(C2×D79)⋊C4—22no—
544(C2×D79)⋊C4—22no—
545(C2×D79)⋊C4—22no—
546(C2×D79)⋊C4—22no—
547(C2×D79)⋊C4—22no—
548(C2×D79)⋊C4—22no—
549(C2×D79)⋊C4—22no—
550(C2×D79)⋊C4—41no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553(C2×D79)⋊C4—41no—
554(C2×D79)⋊C4—41no—
555(C2×D79)⋊C4—41no—
556(C2×D79)⋊C4—41no—
557(C2×D79)⋊C4—41no—
558(C2×D79)⋊C4—41no—
559(C2×D79)⋊C4—41no—
560(C2×D79)⋊C4—41no—
561(C2×D79)⋊C4—41no—
562(C2×D79)⋊C4—41no—
563(C2×D79)⋊C4—41no—
564(C2×D79)⋊C4—41no—
565(C2×D79)⋊C4—41no—
566(C2×D79)⋊C4—41no—
567(C2×D79)⋊C4—41no—
568(C2×D79)⋊C4C2×D414yes—
569(C2×D79)⋊C4C2×D414yes—
570C4×Dic79—22no—
571C4×Dic79—22no—
572C4×Dic79—22no—
573C4×Dic79—41no—
574C4×Dic79—41no—
575C4×Dic79—41no—
576C24×C79C2411yescharacteristic
577C24×C79C2411yescharacteristic
578C2×Q8×C79—22no—
579C2×Q8×C79—41no—
580C2×Q8×C79—41no—
581C2×D4×C79—22no—
582C2×D4×C79—22no—
583C2×D4×C79—22no—
584C22×C4×C79—22no—
585C22×C4×C79—22no—
586C22×C4×C79—22no—
587C22×C4×C79—22no—
588C22×C4×C79—22no—
589C22×C4×C79—22no—
590C22×C4×C79—41no—
591C22×C4×C79—41no—
592C22×C4×C79—41no—
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C22×C4×C79C2411yescharacteristic
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C22×C4×C79C2411yescharacteristic
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2411yescharacteristic
601C22×C4×C79C2411yescharacteristic
602C22×C4×C79C2411yescharacteristic
603C22×C4×C79C2411yescharacteristic
604C22×C4×C79C2411yescharacteristic
605C22×C4×C79C2411yescharacteristic
606C4⋊C4×C79—22no—
607C4⋊C4×C79—22no—
608C4⋊C4×C79—22no—
609C4⋊C4×C79—22no—
610C4⋊C4×C79—22no—
611C22⋊C4×C79—22no—
612C22⋊C4×C79—22no—
613C22⋊C4×C79—22no—
614C22⋊C4×C79—22no—
615C22⋊C4×C79—22no—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79—41no—
619C22⋊C4×C79C2×D414yes—
620C42×C79—22no—
621C42×C79—41no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79C22×D412yes—
634C23×C79C2×#4112yes—
635C23×C79C2×#4112yes—
636C23×C79C2511yescharacteristic
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—44no—
667C22×D79—44no—
668C22×D79—44no—
669C22×D79—44no—
670C22×D79—44no—
671C22×D79—44no—
672C22×D79—44no—
673C22×D79—44no—
674C22×D79—44no—
675C22×D79—44no—
676C22×D79—44no—
677C22×D79—44no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79—82no—
681C22×D79—82no—
682C22×D79—82no—
683C22×D79—82no—
684C22×D79—82no—
685C22×D79—82no—
686C22×D79#124116yescomplemented
687C22×D79C22×D412yes—
688C22×D79C22×D412yes—
689C22×D79C2×#4112yes—
690C22×D79C2×#4112yes—
691C22×D79C2×#4112yes—
692C22×D79C2×#4112yes—
693Q8×C79—82no—
694D4×C79—44no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—44no—
732C2×C4×C79—44no—
733C2×C4×C79—82no—
734C2×C4×C79C22×D412yes—
735C2×C4×C79C22×D412yes—
736C2×C4×C79H(5,𝔽2)12yes—
737C22⋊D79—44no—
738C22⋊D79—44no—
739C22⋊D79—82no—
740C22⋊D79—82no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—44no—
772C2×Dic79—82no—
773C2×Dic79C22×D412yes—
774C2×Dic79C22×D412yes—
775C2×Dic79H(5,𝔽2)12yes—
776D316—44no—
777D316—44no—
778D316—44no—
779D316—44no—
780D316—44no—
781D316—82no—
782D316—82no—
783C4×D79—28no—
784C4×D79—44no—
785C4×D79—44no—
786C4×D79—44no—
787C4×D79—44no—
788C4×D79—44no—
789C4×D79—44no—
790C4×D79—44no—
791C4×D79—44no—
792C4×D79—82no—
793C4×D79—82no—
794Dic158—82no—
795Dic158—82no—
796Dic158—82no—
797C22×C79—22no—
798C22×C79—22no—
799C22×C79—22no—
800C22×C79—22no—
801C22×C79—22no—
802C22×C79—22no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79C2×#12414yes—
811C22×C79C23×D411yescharacteristic
812C22×C79C22×#4111yescharacteristic
813C22×C79C22×#4111yescharacteristic
814C22×C79C2×H(5,𝔽2)11yescharacteristic
815C22×C79C2×H(5,𝔽2)11yescharacteristic
816C22×C79#58511yescharacteristic
817C22×C79#58511yescharacteristic
818C2×D79—22no—
819C2×D79—22no—
820C2×D79—22no—
821C2×D79—22no—
822C2×D79—22no—
823C2×D79—22no—
824C2×D79—22no—
825C2×D79—22no—
826C2×D79—22no—
827C2×D79—22no—
828C2×D79—22no—
829C2×D79—22no—
830C2×D79—416no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—88no—
853C2×D79—88no—
854C2×D79C2×#12414yes—
855C2×D79C2×#12414yes—
856C4×C79—22no—
857C4×C79—22no—
858C4×C79—22no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79—41no—
862C4×C79—41no—
863C4×C79—41no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79—41no—
867C4×C79—41no—
868C4×C79—41no—
869Dic79—22no—
870Dic79—22no—
871Dic79—22no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875Dic79—41no—
876Dic79—41no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880#34993—791nomaximal, Sylow
881C2×C79—24no—
882C2×C79—81no—
883C2×C79C22×#12411yescharacteristic
884C2×C79#345911yescharacteristic
885C2×C79#345911yescharacteristic
886C2×C79#349011yescharacteristic
887C2×C79#349111yescharacteristic
888C2×C79#349611yescharacteristic
889C2×C79#349611yescharacteristic
890D79—24no—
891D79—24no—
892D79—81no—
893D79—81no—
894D79—81no—
895C2×#543—791no—
896C2×#534—791no—
897#2850—791no—
898#2850—791no—
899#2850—791no—
900#2850—791no—
901#2639—791no—
902#2639—791no—
903#2639—791no—
904#2639—791no—
905#2488—791no—
906#2488—791no—
907#2488—791no—
908#2488—791no—
909#2488—791no—
910#2488—791no—
911#2488—791no—
912#2488D7911yescharacteristic, complemented
913#2472—791no—
914#2472—791no—
915#2472—791no—
916#2472—791no—
917#2472—791no—
918#2472—791no—
919#2472—791no—
920#2472—791no—
921#2308—791no—
922#2308—791no—
923C2×#386—791no—
924C2×#386—791no—
925C2×C4×C22⋊C4—791no—
926C79#3499311yescharacteristic, complemented, Sylow
927C23×D4—791no—
928C23×D4—791no—
929C24×C4—791no—
930#543—1588no—
931#534—1588no—
932C2×#124—791no—
933C2×#124—791no—
934C2×#124—791no—
935C2×#124—791no—
936C2×#123—791no—
937C2×#123—791no—
938C2×#123—791no—
939C2×#123C2×D7911yescharacteristic
940C2×C22⋊Q8—791no—
941C2×C22⋊Q8—791no—
942C2×C22⋊Q8—791no—
943C2×C22⋊Q8—791no—
944C2×C22⋊Q8—791no—
945C2×C22⋊Q8—791no—
946C2×C22⋊Q8—791no—
947C2×C22⋊Q8—791no—
948C2×C22⋊Q8—791no—
949C2×C22⋊Q8—791no—
950C2×C22⋊Q8—791no—
951C2×C22⋊Q8C2×D7911yescharacteristic, complemented
952C2×#121—791no—
953C2×#121—791no—
954C2×#121—791no—
955C2×#121—791no—
956C2×#120—791no—
957C2×#120—791no—
958C2×#120—791no—
959C2×#120—791no—
960C22×C22⋊C4—791no—
961C22×C22⋊C4—791no—
962C22×C22⋊C4—791no—
963C22×C22⋊C4—791no—
964C22×C22⋊C4—791no—
965C22×C22⋊C4—791no—
966C22×C22⋊C4—791no—
967C22×C22⋊C4—791no—
968C22×C42—791no—
969C22×C42—791no—
970#400—791no—
971#400—791no—
972#400—791no—
973#400—791no—
974#400—791no—
975#400—791no—
976#400C2×D7911yescharacteristic, complemented
977#400C2×D7911yescharacteristic, complemented
978#397—791no—
979#397—791no—
980#397—791no—
981#397—791no—
982#397—791no—
983#397—791no—
984#397—791no—
985#397C2×D7911yescharacteristic, complemented
986#394—791no—
987#394—791no—
988#394—791no—
989#394—791no—
990#394—791no—
991#394—791no—
992#394—791no—
993#394—791no—
994#393—791no—
995#393—791no—
996#393—791no—
997#393—791no—
998#393—791no—
999#393—791no—
1000#393—791no—
1001#393C2×D7911yescharacteristic, complemented
1002#391—791no—
1003#391—791no—
1004#391—791no—
1005#391C2×D7911yescharacteristic, complemented
1006#390—791no—
1007#390—791no—
1008#390—791no—
1009#390—791no—
1010#388—791no—
1011#388—791no—
1012#388—791no—
1013#388—791no—
1014#388—791no—
1015#388—791no—
1016#388—791no—
1017#388—791no—
1018#388—791no—
1019#388—791no—
1020#388—791no—
1021#388—791no—
1022#388—791no—
1023#388—791no—
1024#388C2×D7911yescharacteristic, complemented
1025#388C2×D7911yescharacteristic, complemented
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#386—791no—
1032#386—791no—
1033#386—791no—
1034#386—791no—
1035#386—791no—
1036#386—791no—
1037#386—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386—791no—
1046#386—791no—
1047#386—791no—
1048#386—791no—
1049#386—791no—
1050#386—791no—
1051#386—791no—
1052#386—791no—
1053#386—791no—
1054#386—791no—
1055#386—791no—
1056#386C2×D7911yescharacteristic
1057#386C2×D7911yescharacteristic
1058#382—791no—
1059#382—791no—
1060#382—791no—
1061#382C2×D7911yescharacteristic, complemented
1062#381—791no—
1063#381—791no—
1064#381—791no—
1065#381C2×D7911yescharacteristic, complemented
1066#379—791no—
1067#379—791no—
1068#379—791no—
1069#379—791no—
1070C4×C22⋊C4—791no—
1071C4×C22⋊C4—791no—
1072C4×C22⋊C4—791no—
1073C4×C22⋊C4—791no—
1074C4×C22⋊C4—791no—
1075C4×C22⋊C4—791no—
1076C4×C22⋊C4—791no—
1077C4×C22⋊C4C2×D7911yescharacteristic, complemented
1078C2×#95—791no—
1079C2×#95—791no—
1080C2×#95—791no—
1081C2×#95—791no—
1082C2×#95—791no—
1083C2×#95C2×D7911yescharacteristic, complemented
1084C25—791no—
1085C25—791no—
1086C25—791no—
1087C22×Q8—791no—
1088C22×Q8—791no—
1089C22×Q8—791no—
1090C22×Q8C22×D7911yescharacteristic
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—791no—
1100C22×D4—791no—
1101C22×D4—791no—
1102C22×D4—1584no—
1103C22×D4—1584no—
1104C22×D4—1584no—
1105C22×D4—1584no—
1106C22×D4—1584no—
1107C22×D4—1584no—
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—3162no—
1110C23×C4—3162no—
1111C23×C4—791no—
1112C23×C4—791no—
1113C23×C4—791no—
1114C23×C4—791no—
1115C23×C4—791no—
1116C23×C4—791no—
1117C23×C4—791no—
1118C23×C4—791no—
1119C23×C4—791no—
1120C23×C4—791no—
1121C23×C4—791no—
1122C23×C4—791no—
1123C23×C4—791no—
1124C23×C4—1584no—
1125C23×C4C22×D7911yescharacteristic
1126C23×C4C22×D7911yescharacteristic
1127C23×C4C22×D7911yescharacteristic
1128#124—3162no—
1129#124—3162no—
1130#124—3162no—
1131#124—3162no—
1132#123—24no—
1133#123—1584no—
1134#123—1584no—
1135#123—1584no—
1136C22⋊Q8—24no—
1137C22⋊Q8—1584no—
1138C22⋊Q8—1584no—
1139C22⋊Q8—1584no—
1140C22⋊Q8—1584no—
1141C22⋊Q8—1584no—
1142C22⋊Q8—1584no—
1143C22⋊Q8—1584no—
1144C22⋊Q8—1584no—
1145C22⋊Q8—1584no—
1146C22⋊Q8—1584no—
1147C22⋊Q8—1584no—
1148#121—1584no—
1149#121—1584no—
1150#121—1584no—
1151#121—1584no—
1152#120—1584no—
1153#120—1584no—
1154#120—1584no—
1155#120—1584no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4—791no—
1159C2×C4⋊C4—791no—
1160C2×C4⋊C4—791no—
1161C2×C4⋊C4—791no—
1162C2×C4⋊C4—791no—
1163C2×C4⋊C4—791no—
1164C2×C4⋊C4—791no—
1165C2×C4⋊C4—791no—
1166C2×C4⋊C4—791no—
1167C2×C4⋊C4C22×D7911yescharacteristic
1168C2×C4⋊C4C22×D7911yescharacteristic
1169C2×C4⋊C4C22×D7911yescharacteristic
1170C2×C4⋊C4C22×D7911yescharacteristic
1171C2×C4⋊C4C22×D7911yescharacteristic
1172C2×C22⋊C4—3162no—
1173C2×C22⋊C4—3162no—
1174C2×C22⋊C4—3162no—
1175C2×C22⋊C4—3162no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—798no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—791no—
1221C2×C22⋊C4—791no—
1222C2×C22⋊C4—791no—
1223C2×C22⋊C4—791no—
1224C2×C22⋊C4—1584no—
1225C2×C22⋊C4—1584no—
1226C2×C22⋊C4—1584no—
1227C2×C22⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4C22×D7911yescharacteristic
1229C2×C22⋊C4C22×D7911yescharacteristic
1230C2×C22⋊C4C22×D7911yescharacteristic
1231C2×C22⋊C4C22×D7911yescharacteristic
1232C2×C22⋊C4C22×D7911yescharacteristic
1233C2×C22⋊C4C22×D7911yescharacteristic
1234C2×C22⋊C4C22×D7911yescharacteristic
1235C2×C22⋊C4C22×D7911yescharacteristic
1236C2×C42—3162no—
1237C2×C42—3162no—
1238C2×C42—791no—
1239C2×C42—791no—
1240C2×C42—791no—
1241C2×C42—791no—
1242C2×C42—791no—
1243C2×C42—791no—
1244C2×C42C22×D7911yescharacteristic
1245C2×C42C22×D7911yescharacteristic
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95—791no—
1263#95—791no—
1264#95—791no—
1265#95—791no—
1266#95—791no—
1267#95—791no—
1268#95—791no—
1269#95—791no—
1270#95—791no—
1271#95—791no—
1272#95C22×D7911yescharacteristic
1273#95C22×D7911yescharacteristic
1274#95C22×D7911yescharacteristic
1275#95C22×D7911yescharacteristic
1276#95C22×D7911yescharacteristic
1277#95C22×D7911yescharacteristic
1278#95C22×D7911yescharacteristic
1279#95C22×D7911yescharacteristic
1280#95C22×D7911yescharacteristic
1281#95C22×D7911yescharacteristic
1282#95C22×D7911yescharacteristic
1283#95C22×D7911yescharacteristic
1284#95C22×D7911yescharacteristic
1285#95C22×D7911yescharacteristic
1286C24—3161no—
1287C24—3161no—
1288C24—3161no—
1289C24—3161no—
1290C24—3161no—
1291C24—3161no—
1292C24—3161no—
1293C24—3161no—
1294C24—3161no—
1295C24—3161no—
1296C24—3161no—
1297C24—3161no—
1298C24—794no—
1299C24—794no—
1300C24—794no—
1301C24—791no—
1302C24—791no—
1303C24—791no—
1304C24—791no—
1305C24—791no—
1306C24—1582no—
1307C24—1582no—
1308C24—1582no—
1309C24—1582no—
1310C24—1582no—
1311C24—1582no—
1312C24C23×D7911yescharacteristic
1313C24C23×D7911yescharacteristic
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—3161no—
1318C2×Q8—3161no—
1319C2×Q8—3161no—
1320C2×Q8—3161no—
1321C2×Q8—3161no—
1322C2×Q8—3161no—
1323C2×Q8—1582no—
1324C2×Q8—1582no—
1325C2×Q8—1582no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—3161no—
1332C2×D4—3161no—
1333C2×D4—31616no—
1334C2×D4—31616no—
1335C2×D4—3161no—
1336C2×D4—3161no—
1337C2×D4—3161no—
1338C2×D4—3161no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1582no—
1342C2×D4—1582no—
1343C2×D4—1582no—
1344C2×D4—1582no—
1345C2×D4—1582no—
1346C2×D4—1582no—
1347C2×D4—1582no—
1348C2×D4—1582no—
1349C2×D4—1582no—
1350C2×D4—1582no—
1351C2×D4—1582no—
1352C2×D4—1582no—
1353C2×D4—1582no—
1354C2×D4—1582no—
1355C2×D4—1582no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C2×D4—1582no—
1360C2×D4—1582no—
1361C2×D4—1582no—
1362C2×D4—1582no—
1363C2×D4—1582no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
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—3161no—
1389C22×C4—31616no—
1390C22×C4—3161no—
1391C22×C4—3161no—
1392C22×C4—3161no—
1393C22×C4—794no—
1394C22×C4—794no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—791no—
1398C22×C4—791no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—791no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—791no—
1406C22×C4—1582no—
1407C22×C4—1582no—
1408C22×C4—1582no—
1409C22×C4—1582no—
1410C22×C4—1582no—
1411C22×C4—1582no—
1412C22×C4—1582no—
1413C22×C4—1582no—
1414C22×C4—1582no—
1415C22×C4—1582no—
1416C22×C4—1582no—
1417C22×C4—1582no—
1418C22×C4—1582no—
1419C22×C4—1582no—
1420C22×C4—1582no—
1421C22×C4—1582no—
1422C22×C4—1582no—
1423C22×C4—1582no—
1424C22×C4C23×D7911yescharacteristic
1425C22×C4C23×D7911yescharacteristic
1426C22×C4C23×D7911yescharacteristic
1427C22×C4C23×D7911yescharacteristic
1428C22×C4C23×D7911yescharacteristic
1429C22×C4C23×D7911yescharacteristic
1430C22×C4C23×D7911yescharacteristic
1431C22×C4C23×D7911yescharacteristic
1432C22×C4C23×D7911yescharacteristic
1433C22×C4C23×D7911yescharacteristic
1434C22×C4C23×D7911yescharacteristic
1435C22×C4C23×D7911yescharacteristic
1436C22×C4C23×D7911yescharacteristic
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—1582no—
1443C4⋊C4—1582no—
1444C4⋊C4—1582no—
1445C4⋊C4—1582no—
1446C4⋊C4—1582no—
1447C4⋊C4—1582no—
1448C4⋊C4—1582no—
1449C4⋊C4—1582no—
1450C4⋊C4—1582no—
1451C4⋊C4—1582no—
1452C4⋊C4—1582no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—3161no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—3161no—
1473C22⋊C4—3161no—
1474C22⋊C4—3161no—
1475C22⋊C4—3161no—
1476C22⋊C4—3161no—
1477C22⋊C4—3161no—
1478C22⋊C4—3161no—
1479C22⋊C4—3161no—
1480C22⋊C4—3161no—
1481C22⋊C4—3161no—
1482C22⋊C4—794no—
1483C22⋊C4—794no—
1484C22⋊C4—794no—
1485C22⋊C4—1582no—
1486C22⋊C4—1582no—
1487C22⋊C4—1582no—
1488C22⋊C4—1582no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C22⋊C4—1582no—
1499C22⋊C4—1582no—
1500C22⋊C4—1582no—
1501C22⋊C4—1582no—
1502C22⋊C4—1582no—
1503C22⋊C4—1582no—
1504C22⋊C4—1582no—
1505C22⋊C4—1582no—
1506C22⋊C4—1582no—
1507C22⋊C4—1582no—
1508C22⋊C4D4×D7914yes—
1509C42—22no—
1510C42—41no—
1511C42—3161no—
1512C42—3161no—
1513C42—3161no—
1514C42—1582no—
1515C42—1582no—
1516C42—1582no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—3164no—
1529C23—3164no—
1530C23—3164no—
1531C23—3164no—
1532C23—3164no—
1533C23—3164no—
1534C23—3164no—
1535C23—3164no—
1536C23—3164no—
1537C23—3164no—
1538C23—3164no—
1539C23—3164no—
1540C23—7916no—
1541C23—792no—
1542C23—792no—
1543C23—792no—
1544C23—792no—
1545C23—792no—
1546C23—792no—
1547C23—6322no—
1548C23—6322no—
1549C23—6322no—
1550C23—6322no—
1551C23—6322no—
1552C23—6322no—
1553C23—6322no—
1554C23—6322no—
1555C23—1581no—
1556C23—1581no—
1557C23—1581no—
1558C23—1581no—
1559C23—1581no—
1560C23—1581no—
1561C23—1581no—
1562C23—1581no—
1563C23—1581no—
1564C23—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23—1581no—
1568C23—1581no—
1569C23—1581no—
1570C23—1581no—
1571C23—1581no—
1572C23—1581no—
1573C23—1581no—
1574C23—1581no—
1575C23—1581no—
1576C23—1581no—
1577C23—1581no—
1578C23—1581no—
1579C23—1581no—
1580C23—1581no—
1581C23—1581no—
1582C23—1581no—
1583C23—1581no—
1584C23C2×D4×D7912yes—
1585C23#41×D7912yes—
1586C23#41×D7912yes—
1587C23C24×D7911yescharacteristic
1588Q8—82no—
1589Q8—6322no—
1590Q8—6322no—
1591Q8—6322no—
1592D4—44no—
1593D4—3164no—
1594D4—3164no—
1595D4—3164no—
1596D4—3164no—
1597D4—3164no—
1598D4—3164no—
1599D4—3164no—
1600D4—6322no—
1601D4—6322no—
1602D4—6322no—
1603D4—6322no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—3164no—
1644C2×C4—3164no—
1645C2×C4—3164no—
1646C2×C4—3164no—
1647C2×C4—3164no—
1648C2×C4—3164no—
1649C2×C4—3164no—
1650C2×C4—3164no—
1651C2×C4—3164no—
1652C2×C4—792no—
1653C2×C4—792no—
1654C2×C4—792no—
1655C2×C4—6322no—
1656C2×C4—6322no—
1657C2×C4—6322no—
1658C2×C4—1588no—
1659C2×C4—1581no—
1660C2×C4—1581no—
1661C2×C4—1581no—
1662C2×C4—1581no—
1663C2×C4—1581no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4—1581no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4—1581no—
1671C2×C4—1581no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4—1581no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4C2×D4×D7912yes—
1690C2×C4C2×D4×D7912yes—
1691C2×C4#1457920712yes—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—31616no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—3161no—
1717C22—3161no—
1718C22—3161no—
1719C22—3161no—
1720C22—3161no—
1721C22—3161no—
1722C22—3161no—
1723C22—3161no—
1724C22—3161no—
1725C22—3161no—
1726C22—3161no—
1727C22—794no—
1728C22—794no—
1729C22—6328no—
1730C22—6328no—
1731C22—1582no—
1732C22—1582no—
1733C22—1582no—
1734C22—1582no—
1735C22—1582no—
1736C22—1582no—
1737C22—1582no—
1738C22—1582no—
1739C22—1582no—
1740C22—1582no—
1741C22—1582no—
1742C22—1582no—
1743C22#124×D7914yes—
1744C22C22×D4×D7911yescharacteristic
1745C22C2×#41×D7911yescharacteristic
1746C22C2×#41×D7911yescharacteristic
1747C22H(5,𝔽2)×D7911yescharacteristic
1748C22C2×#1457920711yescharacteristic
1749C22#1909939911yescharacteristic
1750C22#1909940011yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—3161no—
1769C4—3161no—
1770C4—3161no—
1771C4—3161no—
1772C4—1582no—
1773C4—1582no—
1774C4—1582no—
1775C2—24no—
1776C2—81no—
1777C2—6321no—
1778C2—6321no—
1779C2—6321no—
1780C2—1584no—
1781C2—1584no—
1782C2C2×#124×D7911yescharacteristic
1783C2#2377680811yescharacteristic
1784C2#2377681011yescharacteristic
1785C2#2377708411yescharacteristic
1786C2#2377709511yescharacteristic
1787C2#2377715811yescharacteristic
1788C2#2377716011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2488C2
prime radicalC2×#19099124C2
hypercenter#2488D79
hypocenterC79#34993
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×#19099188C2semidirect
3. #23771704C2semidirect
4. #23771702C2semidirect
5. #23771698C2semidirect
6. #23771698C2semidirect
7. #23769332C2semidirect
8. #23769332C2semidirect
9. #23769329C2semidirect
10. #23769327C2semidirect
11. #23767733C2semidirect
12. #23767730C2semidirect
13. #23767727C2semidirect
14. #23767726C2semidirect
15. #23767723C2semidirect
16. #23767722C2semidirect
17. #23767721C2semidirect
18. #23767533C2semidirect
19. #23767531C2semidirect
20. #23767530C2semidirect
21. #23767529C2semidirect
22. #23767528C2semidirect
23. #23767526C2semidirect
24. #23767524C2semidirect
25. #23767519C2semidirect
26. #23765977C2semidirect
27. #23765974C2semidirect
28. C2×#19098441C2semidirect
29. #386×D79C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2488C2semidirect
37. C2×#14579150C22semidirect
38. C2×#14579149C22semidirect
39. C2×#14579147C22semidirect
40. C2×#14579147C22semidirect
44. C2×#14579141C22semidirect
45. C2×#14579141C22semidirect
46. C2×#14579140C22semidirect
47. C2×#14579139C22semidirect
48. C2×#14579139C22semidirect
49. C2×#14579139C22semidirect
50. C2×#14579139C22semidirect
51. C2×#14579138C22semidirect
52. C2×#14579138C22semidirect
53. C2×#14579137C22semidirect
54. C2×#14579137C22semidirect
64. C22×(C2×D79)⋊C4C22semidirect
65. C22×(C2×D79)⋊C4C22semidirect
69. C2×C22⋊C4×D79C22semidirect
70. C2×C22⋊C4×D79C22semidirect
71. C2×C42×D79C22semidirect
72. C2×C42×D79C22semidirect
73. #19098505C22semidirect
74. #19098505C22semidirect
75. #19098504C22semidirect
76. #19098504C22semidirect
77. #19098501C22semidirect
78. #19098501C22semidirect
79. #19098492C22semidirect
80. #19098492C22semidirect
81. #19098492C22semidirect
82. #19098492C22semidirect
83. #19098490C22semidirect
84. #19098489C22semidirect
85. #19098488C22semidirect
86. #19098481C22semidirect
87. #19098481C22semidirect
88. #19098480C22semidirect
89. #19098480C22semidirect
90. #19098479C22semidirect
91. #19098479C22semidirect
92. #19098478C22semidirect
93. #19098478C22semidirect
94. #19098476C22semidirect
95. #19098476C22semidirect
96. #19098476C22semidirect
97. #19098476C22semidirect
98. #19098476C22semidirect
99. #19098475C22semidirect
100. #19098474C22semidirect
101. #19098468C22semidirect
102. #19098467C22semidirect
103. #19098467C22semidirect
104. #19098465C22semidirect
105. #19098464C22semidirect
106. #19098463C22semidirect
107. #19098463C22semidirect
108. #19098457C22semidirect
109. #19098457C22semidirect
110. #19098455C22semidirect
111. #19098455C22semidirect
112. #19098455C22semidirect
113. #19098455C22semidirect
114. #19098454C22semidirect
115. #19098454C22semidirect
116. #19098453C22semidirect
117. #19098453C22semidirect
118. #19098452C22semidirect
119. #19098452C22semidirect
120. #19098452C22semidirect
121. #19098452C22semidirect
134. #19098441C22semidirect
135. #19098441C22semidirect
136. #19098441C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
139. #19098441C22semidirect
140. #19098441C22semidirect
141. #19098441C22semidirect
142. #19098441C22semidirect
143. #19098441C22semidirect
144. #19098441C22semidirect
145. #19098441C22semidirect
148. #19098439C22semidirect
149. #19098439C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098428C22semidirect
153. #19098427C22semidirect
154. #19098427C22semidirect
155. #19098426C22semidirect
156. #19098425C22semidirect
157. #19098425C22semidirect
158. #19098418C22semidirect
159. #19098418C22semidirect
160. #19098418C22semidirect
161. #19098418C22semidirect
162. C22⋊C4×Dic79C22semidirect
163. C22⋊C4×Dic79C22semidirect
164. C4×(C2×D79)⋊C4C22semidirect
165. C4×(C2×D79)⋊C4C22semidirect
166. C4×C22⋊Dic79C22semidirect
167. #19098410C22semidirect
168. #19098410C22semidirect
169. C2×C79⋊#95C22semidirect
170. #95×D79C22semidirect
171. #95×D79C22semidirect
172. #95×D79C22semidirect
173. #95×D79C22semidirect
175. C2×C22⋊Q8×C79C22semidirect
176. #400×C79C22semidirect
177. #400×C79C22semidirect
178. #397×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #388×C79C22semidirect
182. #388×C79C22semidirect
185. #382×C79C22semidirect
186. #381×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
188. C2×#95×C79C22semidirect
686. C22×D79#124semidirect
912. #2488D79semidirect
926. C79#34993semidirect
951. C2×C22⋊Q8C2×D79semidirect
976. #400C2×D79semidirect
977. #400C2×D79semidirect
985. #397C2×D79semidirect
1001. #393C2×D79semidirect
1005. #391C2×D79semidirect
1024. #388C2×D79semidirect
1025. #388C2×D79semidirect
1061. #382C2×D79semidirect
1065. #381C2×D79semidirect
1077. C4×C22⋊C4C2×D79semidirect
1083. C2×#95C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991882
C2×#190991242
#237717042
#237717022
#237716982
#237693322
#237693292
#237693272
#237677332
#237677302
#237677272
#237677262
#237677232
#237677222
#237677212
#237675332
#237675312
#237675302
#237675292
#237675282
#237675262
#237675242
#237675192
#237659772
#237659742
C2×#190984412
#386×D792
C4×C22⋊C4×D792
C79×#24882
#3499379