Finite Group Databasebeta

← #34495352

Subgroups — #34495352

Order 20224.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099072C211yesmaximal, characteristic, complemented
2#23771689C211yesmaximal, characteristic, complemented
3#23771679C211yesmaximal, characteristic, complemented
4#23770067C211yesmaximal, characteristic, complemented
5#23770022C211yesmaximal, characteristic, complemented
6#23769992C211yesmaximal, characteristic, complemented
7#23769983C211yesmaximal, characteristic, complemented
8#23769817C211yesmaximal, characteristic, complemented
9#23769765C211yesmaximal, characteristic, complemented
10#23769752C211yesmaximal, characteristic, complemented
11#23769746C211yesmaximal, characteristic, complemented
12#23769734C211yesmaximal, characteristic, complemented
13#23769728C211yesmaximal, characteristic, complemented
14#23769725C211yesmaximal, characteristic, complemented
15#23769721C211yesmaximal, characteristic, complemented
16#23769647C211yesmaximal, characteristic, complemented
17#23769621C211yesmaximal, characteristic, complemented
18#23769614C211yesmaximal, characteristic, complemented
19#23769612C211yesmaximal, characteristic, complemented
20#23769285C211yesmaximal, characteristic, complemented
21#23769239C211yesmaximal, characteristic, complemented
22#23769089C211yesmaximal, characteristic, complemented
23#23769029C211yesmaximal, characteristic, complemented
24#23768999C211yesmaximal, characteristic, complemented
25#23768982C211yesmaximal, characteristic, complemented
26#23768372C211yesmaximal, characteristic, complemented
27#23768290C211yesmaximal, characteristic, complemented
28#23766745C211yesmaximal, characteristic, complemented
29#23766719C211yesmaximal, characteristic, complemented
30#23766043C211yesmaximal, characteristic, complemented
31C2×#538×C79C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic, complemented
34C2×#14579157C2211yescharacteristic
35C2×#14579150C2211yescharacteristic, complemented
36#19099072—28no—
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579144C2211yescharacteristic
39C2×#14579143C2211yescharacteristic
40C2×#14579142C2211yescharacteristic
41C2×#14579140C2211yescharacteristic, complemented
42C2×#14579139C2211yescharacteristic, complemented
43C2×#14579138C2211yescharacteristic, complemented
44C2×#14579135C2211yescharacteristic, complemented
45C2×#14579134C2211yescharacteristic
46C2×#14579133C2211yescharacteristic
47C2×#14579132C2211yescharacteristic
48C2×#14579132C2211yescharacteristic
49C2×#14579131C2211yescharacteristic, complemented
50C2×#14579130C2211yescharacteristic
51C2×#14579130C2211yescharacteristic
52C2×#14579130C2211yescharacteristic, complemented
53C2×#14579129C2211yescharacteristic
54C2×#14579129C2211yescharacteristic
55C2×#14579129C2211yescharacteristic
56C2×#14579129C2211yescharacteristic, complemented
57C2×C4×D316C2211yescharacteristic, complemented
58C2×C4×C22⋊D79C2211yescharacteristic
59C2×C4×C22⋊D79C2211yescharacteristic, complemented
60C2×#14579118C2211yescharacteristic, complemented
61#19098501C2211yescharacteristic, complemented
62#19098498C2211yescharacteristic, complemented
63#19098496C2211yescharacteristic, complemented
64#19098496C2211yescharacteristic, complemented
65#19098493C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic, complemented
68#19098488C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic, complemented
71#19098486C2211yescharacteristic, complemented
72#19098486C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098485C2211yescharacteristic, complemented
75#19098482C2211yescharacteristic, complemented
76#19098480C2211yescharacteristic, complemented
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic, complemented
83#19098479C2211yescharacteristic, complemented
84#19098479C2211yescharacteristic, complemented
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic, complemented
88#19098478C2211yescharacteristic, complemented
89#19098477C2211yescharacteristic
90#19098477C2211yescharacteristic
91#19098477C2211yescharacteristic, complemented
92#19098477C2211yescharacteristic, complemented
93#19098477C2211yescharacteristic, complemented
94#19098477C2211yescharacteristic, complemented
95#19098475C2211yescharacteristic, complemented
96#19098475C2211yescharacteristic, complemented
97#19098474C2211yescharacteristic, complemented
98#19098472C2211yescharacteristic
99#19098472C2211yescharacteristic
100#19098472C2211yescharacteristic
101#19098471C2211yescharacteristic
102#19098471C2211yescharacteristic
103#19098471C2211yescharacteristic
104#19098471C2211yescharacteristic
105#19098471C2211yescharacteristic
106#19098471C2211yescharacteristic, complemented
107#19098471C2211yescharacteristic, complemented
108#19098471C2211yescharacteristic, complemented
109#19098470C2211yescharacteristic, complemented
110#19098469C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic
112#19098466C2211yescharacteristic
113#19098466C2211yescharacteristic, complemented
114#19098465C2211yescharacteristic, complemented
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098463C2211yescharacteristic, complemented
119#19098463C2211yescharacteristic, complemented
120#19098462C2211yescharacteristic, complemented
121#19098462C2211yescharacteristic, complemented
122#19098458C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic, complemented
124#19098457C2211yescharacteristic, complemented
125#19098457C2211yescharacteristic, complemented
126#19098456C2211yescharacteristic, complemented
127#19098456C2211yescharacteristic, complemented
128#19098456C2211yescharacteristic, complemented
129#19098456C2211yescharacteristic, complemented
130#19098454C2211yescharacteristic, complemented
131#19098453C2211yescharacteristic, complemented
132#19098453C2211yescharacteristic, complemented
133#19098453C2211yescharacteristic, complemented
134#19098451C2211yescharacteristic, complemented
135#19098451C2211yescharacteristic, complemented
136#19098451C2211yescharacteristic, complemented
137#19098447C2211yescharacteristic, complemented
138#19098444C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic, complemented
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic, complemented
143#19098442C2211yescharacteristic, complemented
144#19098439C2211yescharacteristic
145#19098439C2211yescharacteristic
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098436C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098426C2211yescharacteristic, complemented
162#19098426C2211yescharacteristic, complemented
163#19098426C2211yescharacteristic, complemented
164#19098424C2211yescharacteristic, complemented
165#19098423C2211yescharacteristic, complemented
166#19098423C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic, complemented
169#19098419C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171C4×C4⋊Dic79C2211yescharacteristic, complemented
172#19098409C2211yescharacteristic, complemented
173#538×C79—28no—
174C2×#126×C79C2211yescharacteristic, complemented
175C2×#126×C79C2211yescharacteristic, complemented
176C2×#124×C79C2211yescharacteristic
177C2×#124×C79C2211yescharacteristic, complemented
178C2×#123×C79C2211yescharacteristic
179C2×#123×C79C2211yescharacteristic, complemented
180C2×C22⋊Q8×C79C2211yescharacteristic, complemented
181C2×#121×C79C2211yescharacteristic
182C2×#121×C79C2211yescharacteristic
183C2×#121×C79C2211yescharacteristic
184C2×#120×C79C2211yescharacteristic
185C2×#120×C79C2211yescharacteristic, complemented
186C2×C4×D4×C79C2211yescharacteristic
187C2×C4×D4×C79C2211yescharacteristic, complemented
188C22×C22⋊C4×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929624—24no—
191C2×#11929624—42no—
192C2×#11929624—42no—
193C22×Dic158C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C22×C4×D79—24no—
211C22×C4×D79—42no—
212C22×C4×D79—42no—
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218#14579157—42no—
219#14579150—42no—
220#14579146—24no—
221#14579144—42no—
222#14579143—24no—
223#14579142—42no—
224#14579140—42no—
225#14579139—24no—
226#14579138—24no—
227#14579135—42no—
228#14579134—24no—
229#14579133—24no—
230#14579132—42no—
231#14579132—42no—
232#14579131—24no—
233#14579130—42no—
234#14579130—42no—
235#14579130—42no—
236#14579129—24no—
237#14579129—42no—
238#14579129—42no—
239#14579129—42no—
240C4×D316—24no—
241C4×C22⋊D79—24no—
242C4×C22⋊D79—24no—
243#14579118—24no—
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×(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×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C25×C79C2311yescharacteristic
342C22×Q8×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2311yescharacteristic
346C22×D4×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354#126×C79—24no—
355#126×C79—24no—
356#124×C79—24no—
357#124×C79—24no—
358#123×C79—24no—
359#123×C79—24no—
360C22⋊Q8×C79—24no—
361#121×C79—24no—
362#121×C79—24no—
363#121×C79—24no—
364#120×C79—24no—
365#120×C79—24no—
366C4×D4×C79—24no—
367C4×D4×C79D418yescomplemented
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C4⋊C4×C79C2311yescharacteristic
372C2×C4⋊C4×C79C2311yescharacteristic
373C2×C4⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79—24no—
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C22⋊C4×C79C2311yescharacteristic
387C2×C22⋊C4×C79C2311yescharacteristic
388C2×C22⋊C4×C79C2311yescharacteristic
389C2×C42×C79C2311yescharacteristic
390C2×C42×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79C2411yescharacteristic
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401#11929624—416no—
402C2×Dic158—22no—
403C2×Dic158—22no—
404C2×Dic158—41no—
405C2×D316—22no—
406C2×D316—22no—
407C2×D316—22no—
408C2×D316—22no—
409C2×D316—41no—
410C2×D316—41no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C2×C22⋊D79—41no—
436C2×C22⋊D79—41no—
437C2×C22⋊D79—41no—
438C2×C22⋊D79—41no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C2×C22⋊D79—41no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
449C2×C22⋊D79—41no—
450C22×Dic79—22no—
451C22×Dic79—22no—
452C22×Dic79—41no—
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—22no—
471C2×C4×D79—22no—
472C2×C4×D79—22no—
473C2×C4×D79—22no—
474C2×C4×D79—22no—
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—416no—
482C4⋊Dic79—22no—
483C4⋊Dic79—41no—
484C4⋊Dic79—41no—
485C4⋊Dic79—41no—
486C4⋊Dic79—41no—
487C4⋊Dic79—41no—
488C4⋊Dic79—41no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—41no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500C22⋊Dic79—22no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509C22⋊Dic79—41no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79—41no—
519C22⋊Dic79—41no—
520C22⋊Dic79—41no—
521C22⋊Dic79—41no—
522C22⋊Dic79—41no—
523C22⋊Dic79—41no—
524C22⋊Dic79—41no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
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—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546C4×Dic79—22no—
547C4×Dic79—41no—
548C4×Dic79—41no—
549C4×Dic79—41no—
550C4×Dic79—41no—
551C24×C79—22no—
552C24×C79—41no—
553C24×C79—41no—
554C24×C79—41no—
555C24×C79—41no—
556C24×C79—41no—
557C24×C79—41no—
558C24×C79C2411yescharacteristic
559C24×C79C2411yescharacteristic
560C24×C79C2411yescharacteristic
561C24×C79C2411yescharacteristic
562C24×C79C2411yescharacteristic
563C2×Q8×C79—22no—
564C2×Q8×C79—41no—
565C2×Q8×C79—41no—
566C2×D4×C79—22no—
567C2×D4×C79—22no—
568C2×D4×C79—22no—
569C2×D4×C79—22no—
570C2×D4×C79—22no—
571C2×D4×C79—22no—
572C2×D4×C79—41no—
573C2×D4×C79—41no—
574C2×D4×C79—41no—
575C2×D4×C79—41no—
576C2×D4×C79—41no—
577C2×D4×C79—41no—
578C2×D4×C79—41no—
579C2×D4×C79—41no—
580C2×D4×C79—41no—
581C2×D4×C79—41no—
582C2×D4×C79—41no—
583C2×D4×C79—41no—
584C2×D4×C79—41no—
585C2×D4×C79—41no—
586C2×D4×C79C2×D414yes—
587C22×C4×C79—22no—
588C22×C4×C79—22no—
589C22×C4×C79—41no—
590C22×C4×C79—41no—
591C22×C4×C79—41no—
592C22×C4×C79—41no—
593C22×C4×C79—41no—
594C22×C4×C79—41no—
595C22×C4×C79—41no—
596C22×C4×C79—41no—
597C22×C4×C79C2×D414yes—
598C22×C4×C79C2×D414yes—
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2411yescharacteristic
601C22×C4×C79C2411yescharacteristic
602C22×C4×C79C2411yescharacteristic
603C22×C4×C79C2411yescharacteristic
604C22×C4×C79C2411yescharacteristic
605C22×C4×C79C2411yescharacteristic
606C22×C4×C79C2411yescharacteristic
607C22×C4×C79C2411yescharacteristic
608C22×C4×C79C2411yescharacteristic
609C4⋊C4×C79—22no—
610C4⋊C4×C79—22no—
611C4⋊C4×C79—22no—
612C4⋊C4×C79—22no—
613C4⋊C4×C79—22no—
614C4⋊C4×C79C2×D414yes—
615C22⋊C4×C79—22no—
616C22⋊C4×C79—22no—
617C22⋊C4×C79—22no—
618C22⋊C4×C79—22no—
619C22⋊C4×C79—22no—
620C22⋊C4×C79—22no—
621C22⋊C4×C79—22no—
622C22⋊C4×C79—22no—
623C22⋊C4×C79—22no—
624C22⋊C4×C79—22no—
625C22⋊C4×C79—22no—
626C22⋊C4×C79—22no—
627C22⋊C4×C79C2×D414yes—
628C22⋊C4×C79C2×D414yes—
629C42×C79—22no—
630C42×C79C2×D414yes—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—21no—
642C23×C79—21no—
643C23×C79—21no—
644C23×C79—21no—
645C23×C79—21no—
646C23×C79—21no—
647C23×C79—21no—
648C23×C79—21no—
649C23×C79—21no—
650C23×C79—21no—
651C23×C79—21no—
652C23×C79—21no—
653C23×C79—21no—
654C23×C79—21no—
655C23×C79—21no—
656C23×C79—21no—
657C23×C79—21no—
658C23×C79—21no—
659C23×C79—21no—
660C23×C79—21no—
661C23×C79—21no—
662C23×C79—21no—
663C23×C79—21no—
664C23×C79—44no—
665C23×C79—82no—
666C23×C79—82no—
667C23×C79—82no—
668C23×C79—82no—
669C23×C79—82no—
670C23×C79—82no—
671C23×C79C22×D412yes—
672C23×C79C22×D412yes—
673C23×C79C2511yescharacteristic
674C22×D79—21no—
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—21no—
678C22×D79—21no—
679C22×D79—21no—
680C22×D79—21no—
681C22×D79—21no—
682C22×D79—21no—
683C22×D79—21no—
684C22×D79—21no—
685C22×D79—21no—
686C22×D79—21no—
687C22×D79—21no—
688C22×D79—21no—
689C22×D79—21no—
690C22×D79—21no—
691C22×D79—21no—
692C22×D79—21no—
693C22×D79—44no—
694C22×D79—44no—
695C22×D79—44no—
696C22×D79—44no—
697C22×D79—44no—
698C22×D79—44no—
699C22×D79—44no—
700C22×D79H(5,𝔽2)12yes—
701C22×D79H(5,𝔽2)12yes—
702Q8×C79—82no—
703D4×C79—44no—
704D4×C79—44no—
705D4×C79—82no—
706D4×C79—82no—
707D4×C79—82no—
708D4×C79—82no—
709D4×C79—82no—
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—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—44no—
736C2×C4×C79—44no—
737C2×C4×C79—82no—
738C2×C4×C79—82no—
739C2×C4×C79C22×D412yes—
740C2×C4×C79C22×D412yes—
741C2×C4×C79C22×D412yes—
742C2×C4×C79C22×D412yes—
743C2×C4×C79C22×D412yes—
744C22⋊D79—44no—
745C22⋊D79—44no—
746C22⋊D79—44no—
747C22⋊D79—44no—
748C22⋊D79—82no—
749C22⋊D79—82no—
750C22⋊D79—82no—
751C22⋊D79—82no—
752C22⋊D79—82no—
753C22⋊D79—82no—
754C22⋊D79—82no—
755C22⋊D79—82no—
756C22⋊D79—82no—
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—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—21no—
785C2×Dic79—21no—
786C2×Dic79—21no—
787C2×Dic79—21no—
788C2×Dic79—21no—
789C2×Dic79—21no—
790C2×Dic79—21no—
791C2×Dic79—21no—
792C2×Dic79—21no—
793C2×Dic79—21no—
794C2×Dic79—21no—
795C2×Dic79—44no—
796C2×Dic79H(5,𝔽2)12yes—
797D316—44no—
798D316—44no—
799C4×D79—28no—
800C4×D79—44no—
801C4×D79—44no—
802C4×D79—44no—
803C4×D79—44no—
804Dic158—44no—
805C22×C79—22no—
806C22×C79—22no—
807C22×C79—22no—
808C22×C79—22no—
809C22×C79—22no—
810C22×C79—22no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79—41no—
817C22×C79—41no—
818C22×C79—41no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—88no—
841C22×C79C23×D411yescharacteristic
842C22×C79C2×H(5,𝔽2)11yescharacteristic
843C22×C79C2×H(5,𝔽2)11yescharacteristic
844C22×C79C2×H(5,𝔽2)11yescharacteristic
845C22×C79#58511yescharacteristic
846C22×C79#58511yescharacteristic
847C22×C79#58511yescharacteristic
848C2×D79—22no—
849C2×D79—22no—
850C2×D79—22no—
851C2×D79—22no—
852C2×D79—22no—
853C2×D79—22no—
854C2×D79—416no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—41no—
865C2×D79—41no—
866C2×D79—41no—
867C2×D79—41no—
868C2×D79—41no—
869C2×D79—41no—
870C4×C79—22no—
871C4×C79—22no—
872C4×C79—22no—
873C4×C79—22no—
874C4×C79—22no—
875C4×C79—41no—
876C4×C79—41no—
877C4×C79—41no—
878C4×C79—41no—
879C4×C79—41no—
880Dic79—22no—
881Dic79—41no—
882Dic79—41no—
883Dic79—41no—
884Dic79—41no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79—41no—
890Dic79—41no—
891Dic79—41no—
892Dic79—41no—
893#36724—791nomaximal, Sylow
894C2×C79—42no—
895C2×C79—42no—
896C2×C79—81no—
897C2×C79—81no—
898C2×C79—81no—
899C2×C79#344911yescharacteristic
900C2×C79#348411yescharacteristic
901C2×C79#348811yescharacteristic
902C2×C79#353311yescharacteristic
903C2×C79#353411yescharacteristic
904C2×C79#354011yescharacteristic
905C2×C79#354211yescharacteristic
906D79—42no—
907D79—42no—
908D79—81no—
909C2×#538D7911yescharacteristic, complemented
910C2×#525—791no—
911#2849—791no—
912#2847—791no—
913#2705—791no—
914#2702—791no—
915#2700—791no—
916#2699—791no—
917#2687—791no—
918#2682—791no—
919#2681—791no—
920#2681—791no—
921#2679—791no—
922#2678—791no—
923#2678—791no—
924#2678—791no—
925#2672—791no—
926#2670—791no—
927#2669—791no—
928#2669—791no—
929#2635—791no—
930#2630—791no—
931#2610—791no—
932#2603—791no—
933#2601—791no—
934#2600—791no—
935#2544—791no—
936#2534—791no—
937#2407—791no—
938#2404—791no—
939#2319—791no—
940C79#3672411yescharacteristic, complemented, Sylow
941C22×#41—791no—
942C24×C4—791no—
943#538—28no—
944C2×#127—791no—
945C2×#126C2×D7911yescharacteristic, complemented
946C2×#126C2×D7911yescharacteristic, complemented
947C2×#124—791no—
948C2×#124C2×D7911yescharacteristic
949C2×#124C2×D7911yescharacteristic, complemented
950#525—1588no—
951C2×#123—791no—
952C2×#123—791no—
953C2×#123—791no—
954C2×#123—791no—
955C2×#123C2×D7911yescharacteristic
956C2×#123C2×D7911yescharacteristic, complemented
957C2×C22⋊Q8—791no—
958C2×C22⋊Q8—791no—
959C2×C22⋊Q8—791no—
960C2×C22⋊Q8C2×D7911yescharacteristic, complemented
961C2×#121—791no—
962C2×#121—791no—
963C2×#121—791no—
964C2×#121—791no—
965C2×#121—791no—
966C2×#121C2×D7911yescharacteristic
967C2×#121C2×D7911yescharacteristic
968C2×#121C2×D7911yescharacteristic
969C2×#120—791no—
970C2×#120—791no—
971C2×#120—791no—
972C2×#120—791no—
973C2×#120—791no—
974C2×#120—791no—
975C2×#120—791no—
976C2×#120—791no—
977C2×#120C2×D7911yescharacteristic
978C2×#120C2×D7911yescharacteristic, complemented
979C2×C4×D4—791no—
980C2×C4×D4—791no—
981C2×C4×D4—791no—
982C2×C4×D4C2×D7911yescharacteristic
983C2×C4×D4C2×D7911yescharacteristic, complemented
984C2×#117—791no—
985C22×C22⋊C4C2×D7911yescharacteristic, complemented
986#400—791no—
987#399—791no—
988#398—791no—
989#398—791no—
990#398—791no—
991#397—791no—
992#397—791no—
993#397—791no—
994#396—791no—
995#396—791no—
996#396—791no—
997#396—791no—
998#396—791no—
999#396—791no—
1000#395—791no—
1001#394—791no—
1002#394—791no—
1003#394—791no—
1004#394—791no—
1005#394—791no—
1006#394—791no—
1007#394—791no—
1008#394—791no—
1009#394—791no—
1010#394—791no—
1011#394—791no—
1012#394—791no—
1013#394—791no—
1014#394—791no—
1015#394—791no—
1016#394—791no—
1017#394—791no—
1018#394—791no—
1019#394—791no—
1020#393—791no—
1021#393—791no—
1022#393—791no—
1023#392—791no—
1024#392—791no—
1025#392—791no—
1026#392—791no—
1027#392—791no—
1028#392—791no—
1029#392—791no—
1030#392—791no—
1031#392—791no—
1032#392—791no—
1033#392—791no—
1034#391—791no—
1035#391—791no—
1036#390—791no—
1037#390—791no—
1038#390—791no—
1039#390—791no—
1040#390—791no—
1041#390—791no—
1042#390—791no—
1043#390—791no—
1044#390—791no—
1045#389—791no—
1046#389—791no—
1047#389—791no—
1048#388—791no—
1049#388—791no—
1050#388—791no—
1051#388—791no—
1052#388—791no—
1053#388—791no—
1054#388—791no—
1055#388—791no—
1056#388—791no—
1057#388—791no—
1058#388—791no—
1059#388—791no—
1060#388—791no—
1061#388—791no—
1062#387—791no—
1063#387—791no—
1064#386—791no—
1065#386—791no—
1066#386—791no—
1067#386—791no—
1068#386—791no—
1069#386—791no—
1070#386—791no—
1071#386—791no—
1072#386—791no—
1073#386—791no—
1074#386—791no—
1075#386—791no—
1076#386—791no—
1077#386—791no—
1078#386—791no—
1079#386—791no—
1080#385—791no—
1081#385—791no—
1082#385—791no—
1083#385—791no—
1084#385—791no—
1085#385—791no—
1086#381—791no—
1087#381—791no—
1088#381—791no—
1089#381—791no—
1090#380—791no—
1091#380—791no—
1092#380—791no—
1093#380—791no—
1094#379—791no—
1095#379—791no—
1096C4×C4⋊C4—791no—
1097#376—791no—
1098C25—791no—
1099C25C22×D7911yescharacteristic
1100C2×#41—3162no—
1101C2×#41—3162no—
1102C2×#41—1584no—
1103C22×Q8—791no—
1104C22×Q8C22×D7911yescharacteristic
1105C22×D4—791no—
1106C22×D4—791no—
1107C22×D4—791no—
1108C22×D4—791no—
1109C22×D4—791no—
1110C22×D4—791no—
1111C22×D4—791no—
1112C22×D4—791no—
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—791no—
1117C22×D4—791no—
1118C22×D4—791no—
1119C22×D4—791no—
1120C22×D4C22×D7911yescharacteristic
1121C22×D4C22×D7911yescharacteristic
1122C22×D4C22×D7911yescharacteristic
1123C22×D4C22×D7911yescharacteristic
1124C22×D4C22×D7911yescharacteristic
1125C22×D4C22×D7911yescharacteristic
1126C22×D4C22×D7911yescharacteristic
1127C23×C4—3162no—
1128C23×C4—3162no—
1129C23×C4—791no—
1130C23×C4—791no—
1131C23×C4—791no—
1132C23×C4—791no—
1133C23×C4—791no—
1134C23×C4—791no—
1135C23×C4—1584no—
1136C23×C4C22×D7911yescharacteristic
1137C23×C4C22×D7911yescharacteristic
1138C23×C4C22×D7911yescharacteristic
1139C23×C4C22×D7911yescharacteristic
1140#127—3162no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
1145#124—3162no—
1146#123—24no—
1147#123—24no—
1148#123—3162no—
1149#123—3162no—
1150#123—1584no—
1151#123—1584no—
1152C22⋊Q8—24no—
1153C22⋊Q8—3162no—
1154C22⋊Q8—1584no—
1155C22⋊Q8—1584no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—3162no—
1160#121—3162no—
1161#121—3162no—
1162#121—1584no—
1163#121—1584no—
1164#120—24no—
1165#120—24no—
1166#120—3162no—
1167#120—3162no—
1168#120—3162no—
1169#120—3162no—
1170#120—3162no—
1171#120—3162no—
1172#120—1584no—
1173#120—1584no—
1174C4×D4—24no—
1175C4×D4—1584no—
1176C4×D4—1584no—
1177C4×D4—1584no—
1178C4×D4C22⋊D7918yescomplemented
1179#117—1584no—
1180C2×C4⋊C4—791no—
1181C2×C4⋊C4—791no—
1182C2×C4⋊C4—791no—
1183C2×C4⋊C4—791no—
1184C2×C4⋊C4—791no—
1185C2×C4⋊C4—791no—
1186C2×C4⋊C4—791no—
1187C2×C4⋊C4—791no—
1188C2×C4⋊C4—791no—
1189C2×C4⋊C4—791no—
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—791no—
1197C2×C4⋊C4—791no—
1198C2×C4⋊C4C22×D7911yescharacteristic
1199C2×C4⋊C4C22×D7911yescharacteristic
1200C2×C4⋊C4C22×D7911yescharacteristic
1201C2×C4⋊C4C22×D7911yescharacteristic
1202C2×C4⋊C4C22×D7911yescharacteristic
1203C2×C4⋊C4C22×D7911yescharacteristic
1204C2×C22⋊C4—24no—
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—791no—
1225C2×C22⋊C4—791no—
1226C2×C22⋊C4—791no—
1227C2×C22⋊C4—791no—
1228C2×C22⋊C4—791no—
1229C2×C22⋊C4—791no—
1230C2×C22⋊C4—791no—
1231C2×C22⋊C4—791no—
1232C2×C22⋊C4—791no—
1233C2×C22⋊C4—791no—
1234C2×C22⋊C4—791no—
1235C2×C22⋊C4—791no—
1236C2×C22⋊C4—791no—
1237C2×C22⋊C4—791no—
1238C2×C22⋊C4—791no—
1239C2×C22⋊C4—791no—
1240C2×C22⋊C4—791no—
1241C2×C22⋊C4—791no—
1242C2×C22⋊C4—791no—
1243C2×C22⋊C4—791no—
1244C2×C22⋊C4—791no—
1245C2×C22⋊C4—791no—
1246C2×C22⋊C4—791no—
1247C2×C22⋊C4—791no—
1248C2×C22⋊C4—791no—
1249C2×C22⋊C4—791no—
1250C2×C22⋊C4—791no—
1251C2×C22⋊C4C22×D7911yescharacteristic
1252C2×C22⋊C4C22×D7911yescharacteristic
1253C2×C22⋊C4C22×D7911yescharacteristic
1254C2×C22⋊C4C22×D7911yescharacteristic
1255C2×C22⋊C4C22×D7911yescharacteristic
1256C2×C22⋊C4C22×D7911yescharacteristic
1257C2×C22⋊C4C22×D7911yescharacteristic
1258C2×C22⋊C4C22×D7911yescharacteristic
1259C2×C22⋊C4C22×D7911yescharacteristic
1260C2×C22⋊C4C22×D7911yescharacteristic
1261C2×C22⋊C4C22×D7911yescharacteristic
1262C2×C22⋊C4C22×D7911yescharacteristic
1263C2×C22⋊C4C22×D7911yescharacteristic
1264C2×C22⋊C4C22×D7911yescharacteristic
1265C2×C42—791no—
1266C2×C42—791no—
1267C2×C42—791no—
1268C2×C42—791no—
1269C2×C42—791no—
1270C2×C42C22×D7911yescharacteristic
1271C2×C42C22×D7911yescharacteristic
1272#95—791no—
1273#95—791no—
1274#95—791no—
1275#95—791no—
1276#95—791no—
1277#95—791no—
1278#95—791no—
1279#95—791no—
1280#95—791no—
1281#95—791no—
1282#95—791no—
1283#95—791no—
1284#95—791no—
1285#95—791no—
1286#95—791no—
1287#95—791no—
1288#95—791no—
1289#95—791no—
1290#95—791no—
1291#95—791no—
1292#95—791no—
1293#95—791no—
1294#95—791no—
1295#95—791no—
1296#95—791no—
1297#95—791no—
1298#95—791no—
1299#95—791no—
1300C24—22no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—3161no—
1308C24—3161no—
1309C24—3161no—
1310C24—3161no—
1311C24—791no—
1312C24—791no—
1313C24—791no—
1314C24—1582no—
1315C24—1582no—
1316C24—1582no—
1317C24C23×D7911yescharacteristic
1318C24C23×D7911yescharacteristic
1319C24C23×D7911yescharacteristic
1320C24C23×D7911yescharacteristic
1321C24C23×D7911yescharacteristic
1322#41—31616no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—3161no—
1327C2×Q8—1582no—
1328C2×Q8—1582no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—3161no—
1350C2×D4—3161no—
1351C2×D4—3161no—
1352C2×D4—3161no—
1353C2×D4—3161no—
1354C2×D4—3161no—
1355C2×D4—3161no—
1356C2×D4—3161no—
1357C2×D4—3161no—
1358C2×D4—3161no—
1359C2×D4—3161no—
1360C2×D4—3161no—
1361C2×D4—3161no—
1362C2×D4—3161no—
1363C2×D4—3161no—
1364C2×D4—3161no—
1365C2×D4—3161no—
1366C2×D4—3161no—
1367C2×D4—3161no—
1368C2×D4—3161no—
1369C2×D4—3161no—
1370C2×D4—3161no—
1371C2×D4—3161no—
1372C2×D4—3161no—
1373C2×D4—3161no—
1374C2×D4—3161no—
1375C2×D4—3161no—
1376C2×D4—3161no—
1377C2×D4—1582no—
1378C2×D4—1582no—
1379C2×D4—1582no—
1380C2×D4—1582no—
1381C2×D4—1582no—
1382C2×D4—1582no—
1383C2×D4—1582no—
1384C2×D4—1582no—
1385C2×D4—1582no—
1386C2×D4—1582no—
1387C2×D4—1582no—
1388C2×D4—1582no—
1389C2×D4—1582no—
1390C2×D4—1582no—
1391C2×D4—1582no—
1392C2×D4—1582no—
1393C2×D4—1582no—
1394C2×D4C2×C22⋊D7914yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—3161no—
1406C22×C4—3161no—
1407C22×C4—3161no—
1408C22×C4—3161no—
1409C22×C4—3161no—
1410C22×C4—3161no—
1411C22×C4—31616no—
1412C22×C4—3161no—
1413C22×C4—791no—
1414C22×C4—791no—
1415C22×C4—791no—
1416C22×C4—791no—
1417C22×C4—791no—
1418C22×C4—791no—
1419C22×C4—791no—
1420C22×C4—791no—
1421C22×C4—791no—
1422C22×C4—791no—
1423C22×C4—791no—
1424C22×C4—791no—
1425C22×C4—791no—
1426C22×C4—1582no—
1427C22×C4—1582no—
1428C22×C4—1582no—
1429C22×C4—1582no—
1430C22×C4—1582no—
1431C22×C4—1582no—
1432C22×C4—1582no—
1433C22×C4—1582no—
1434C22×C4—1582no—
1435C22×C4—1582no—
1436C22×C4—1582no—
1437C22×C4C2×C22⋊D7914yes—
1438C22×C4C2×C22⋊D7914yes—
1439C22×C4C23×D7911yescharacteristic
1440C22×C4C23×D7911yescharacteristic
1441C22×C4C23×D7911yescharacteristic
1442C22×C4C23×D7911yescharacteristic
1443C22×C4C23×D7911yescharacteristic
1444C22×C4C23×D7911yescharacteristic
1445C22×C4C23×D7911yescharacteristic
1446C22×C4C23×D7911yescharacteristic
1447C22×C4C23×D7911yescharacteristic
1448C22×C4C23×D7911yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—3161no—
1455C4⋊C4—3161no—
1456C4⋊C4—3161no—
1457C4⋊C4—3161no—
1458C4⋊C4—3161no—
1459C4⋊C4—3161no—
1460C4⋊C4—3161no—
1461C4⋊C4—3161no—
1462C4⋊C4—3161no—
1463C4⋊C4—3161no—
1464C4⋊C4—3161no—
1465C4⋊C4—3161no—
1466C4⋊C4—1582no—
1467C4⋊C4—1582no—
1468C4⋊C4—1582no—
1469C4⋊C4—1582no—
1470C4⋊C4—1582no—
1471C4⋊C4—1582no—
1472C4⋊C4C2×C22⋊D7914yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—3161no—
1486C22⋊C4—3161no—
1487C22⋊C4—3161no—
1488C22⋊C4—3161no—
1489C22⋊C4—3161no—
1490C22⋊C4—3161no—
1491C22⋊C4—3161no—
1492C22⋊C4—3161no—
1493C22⋊C4—3161no—
1494C22⋊C4—3161no—
1495C22⋊C4—3161no—
1496C22⋊C4—3161no—
1497C22⋊C4—3161no—
1498C22⋊C4—3161no—
1499C22⋊C4—3161no—
1500C22⋊C4—3161no—
1501C22⋊C4—3161no—
1502C22⋊C4—3161no—
1503C22⋊C4—3161no—
1504C22⋊C4—3161no—
1505C22⋊C4—3161no—
1506C22⋊C4—3161no—
1507C22⋊C4—3161no—
1508C22⋊C4—3161no—
1509C22⋊C4—3161no—
1510C22⋊C4—3161no—
1511C22⋊C4—3161no—
1512C22⋊C4—3161no—
1513C22⋊C4—3161no—
1514C22⋊C4—3161no—
1515C22⋊C4—3161no—
1516C22⋊C4—1582no—
1517C22⋊C4—1582no—
1518C22⋊C4—1582no—
1519C22⋊C4—1582no—
1520C22⋊C4—1582no—
1521C22⋊C4—1582no—
1522C22⋊C4—1582no—
1523C22⋊C4—1582no—
1524C22⋊C4—1582no—
1525C22⋊C4—1582no—
1526C22⋊C4—1582no—
1527C22⋊C4—1582no—
1528C22⋊C4—1582no—
1529C22⋊C4—1582no—
1530C22⋊C4—1582no—
1531C22⋊C4C2×C22⋊D7914yes—
1532C22⋊C4C2×C22⋊D7914yes—
1533C42—22no—
1534C42—3161no—
1535C42—3161no—
1536C42—3161no—
1537C42—3161no—
1538C42—1582no—
1539C42C2×C22⋊D7914yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—44no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—3164no—
1581C23—3164no—
1582C23—3164no—
1583C23—3164no—
1584C23—3164no—
1585C23—3164no—
1586C23—3164no—
1587C23—792no—
1588C23—792no—
1589C23—1581no—
1590C23—1581no—
1591C23—1581no—
1592C23—1581no—
1593C23—1581no—
1594C23—1581no—
1595C23—1581no—
1596C23—1581no—
1597C23—1581no—
1598C23—1581no—
1599C23—1581no—
1600C23—1581no—
1601C23—1581no—
1602C23—1581no—
1603C23—1581no—
1604C23—1581no—
1605C23—1581no—
1606C23—1581no—
1607C23—1581no—
1608C23C22×C22⋊D7912yes—
1609C23C22×C22⋊D7912yes—
1610C23C24×D7911yescharacteristic
1611Q8—82no—
1612Q8—3164no—
1613D4—44no—
1614D4—44no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—3164no—
1621D4—3164no—
1622D4—3164no—
1623D4—3164no—
1624D4—3164no—
1625D4—3164no—
1626D4—6322no—
1627D4—6322no—
1628D4—6322no—
1629D4—6322no—
1630D4—6322no—
1631D4—6322no—
1632D4—6322no—
1633D4—6322no—
1634D4—6322no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—82no—
1663C2×C4—82no—
1664C2×C4—3164no—
1665C2×C4—3164no—
1666C2×C4—3164no—
1667C2×C4—3164no—
1668C2×C4—3164no—
1669C2×C4—792no—
1670C2×C4—1588no—
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×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4—1581no—
1697C2×C4—1581no—
1698C2×C4—1581no—
1699C2×C4—1581no—
1700C2×C4—1581no—
1701C2×C4—1581no—
1702C2×C4—1581no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4C22×C22⋊D7912yes—
1710C2×C4C22×C22⋊D7912yes—
1711C2×C4C22×C22⋊D7912yes—
1712C2×C4C22×C22⋊D7912yes—
1713C2×C4C22×C22⋊D7912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—88no—
1750C22—31616no—
1751C22—3161no—
1752C22—3161no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—3161no—
1761C22—3161no—
1762C22—3161no—
1763C22—3161no—
1764C22—3161no—
1765C22—3161no—
1766C22—1582no—
1767C22—1582no—
1768C22—1582no—
1769C22—1582no—
1770C22—1582no—
1771C22—1582no—
1772C22C23×C22⋊D7911yescharacteristic
1773C22H(5,𝔽2)×D7911yescharacteristic
1774C22H(5,𝔽2)×D7911yescharacteristic
1775C22H(5,𝔽2)×D7911yescharacteristic
1776C22#1909939811yescharacteristic
1777C22#1909939911yescharacteristic
1778C22#1909939911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—3161no—
1790C4—3161no—
1791C4—3161no—
1792C4—3161no—
1793C4—3161no—
1794C4—3161no—
1795C4—3161no—
1796C4—3161no—
1797C4—3161no—
1798C4—3161no—
1799C4—3161no—
1800C4—3161no—
1801C4—1582no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—81no—
1807C2—3162no—
1808C2—3162no—
1809C2—6321no—
1810C2#2377672911yescharacteristic
1811C2#2377703111yescharacteristic
1812C2#2377706211yescharacteristic
1813C2#2377756711yescharacteristic
1814C2#2377758911yescharacteristic
1815C2#2377767111yescharacteristic
1816C2#2377771511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC2×#538×C79C2
hypercenterC2×#538D79
hypocenterC79#36724
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#19099072C2semidirect
2. #23771689C2semidirect
3. #23771679C2semidirect
4. #23770067C2semidirect
5. #23770022C2semidirect
6. #23769992C2semidirect
7. #23769983C2semidirect
8. #23769817C2semidirect
9. #23769765C2semidirect
10. #23769752C2semidirect
11. #23769746C2semidirect
12. #23769734C2semidirect
13. #23769728C2semidirect
14. #23769725C2semidirect
15. #23769721C2semidirect
16. #23769647C2semidirect
17. #23769621C2semidirect
18. #23769614C2semidirect
19. #23769612C2semidirect
20. #23769285C2semidirect
21. #23769239C2semidirect
22. #23769089C2semidirect
23. #23769029C2semidirect
24. #23768999C2semidirect
25. #23768982C2semidirect
26. #23768372C2semidirect
27. #23768290C2semidirect
28. #23766745C2semidirect
29. #23766719C2semidirect
30. #23766043C2semidirect
31. C2×#538×C79C2semidirect
33. C23×C4×D79C22semidirect
35. C2×#14579150C22semidirect
37. C2×#14579146C22semidirect
41. C2×#14579140C22semidirect
42. C2×#14579139C22semidirect
43. C2×#14579138C22semidirect
44. C2×#14579135C22semidirect
49. C2×#14579131C22semidirect
52. C2×#14579130C22semidirect
56. C2×#14579129C22semidirect
57. C2×C4×D316C22semidirect
59. C2×C4×C22⋊D79C22semidirect
60. C2×#14579118C22semidirect
61. #19098501C22semidirect
62. #19098498C22semidirect
63. #19098496C22semidirect
64. #19098496C22semidirect
65. #19098493C22semidirect
66. #19098491C22semidirect
67. #19098491C22semidirect
68. #19098488C22semidirect
69. #19098486C22semidirect
70. #19098486C22semidirect
71. #19098486C22semidirect
72. #19098486C22semidirect
73. #19098485C22semidirect
74. #19098485C22semidirect
75. #19098482C22semidirect
76. #19098480C22semidirect
81. #19098479C22semidirect
82. #19098479C22semidirect
83. #19098479C22semidirect
84. #19098479C22semidirect
87. #19098478C22semidirect
88. #19098478C22semidirect
91. #19098477C22semidirect
92. #19098477C22semidirect
93. #19098477C22semidirect
94. #19098477C22semidirect
95. #19098475C22semidirect
96. #19098475C22semidirect
97. #19098474C22semidirect
106. #19098471C22semidirect
107. #19098471C22semidirect
108. #19098471C22semidirect
109. #19098470C22semidirect
110. #19098469C22semidirect
113. #19098466C22semidirect
114. #19098465C22semidirect
118. #19098463C22semidirect
119. #19098463C22semidirect
120. #19098462C22semidirect
121. #19098462C22semidirect
122. #19098458C22semidirect
123. #19098457C22semidirect
124. #19098457C22semidirect
125. #19098457C22semidirect
126. #19098456C22semidirect
127. #19098456C22semidirect
128. #19098456C22semidirect
129. #19098456C22semidirect
130. #19098454C22semidirect
131. #19098453C22semidirect
132. #19098453C22semidirect
133. #19098453C22semidirect
134. #19098451C22semidirect
135. #19098451C22semidirect
136. #19098451C22semidirect
137. #19098447C22semidirect
138. #19098444C22semidirect
140. #19098443C22semidirect
142. #19098442C22semidirect
143. #19098442C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
155. #19098436C22semidirect
156. #19098434C22semidirect
157. #19098434C22semidirect
158. #19098434C22semidirect
159. #19098434C22semidirect
160. #19098434C22semidirect
161. #19098426C22semidirect
162. #19098426C22semidirect
163. #19098426C22semidirect
164. #19098424C22semidirect
165. #19098423C22semidirect
166. #19098423C22semidirect
167. #19098420C22semidirect
168. #19098420C22semidirect
169. #19098419C22semidirect
170. #19098418C22semidirect
171. C4×C4⋊Dic79C22semidirect
172. #19098409C22semidirect
174. C2×#126×C79C22semidirect
175. C2×#126×C79C22semidirect
177. C2×#124×C79C22semidirect
179. C2×#123×C79C22semidirect
180. C2×C22⋊Q8×C79C22semidirect
185. C2×#120×C79C22semidirect
187. C2×C4×D4×C79C22semidirect
188. C22×C22⋊C4×C79C22semidirect
367. C4×D4×C79D4semidirect
909. C2×#538D79semidirect
940. C79#36724semidirect
945. C2×#126C2×D79semidirect
946. C2×#126C2×D79semidirect
949. C2×#124C2×D79semidirect
956. C2×#123C2×D79semidirect
960. C2×C22⋊Q8C2×D79semidirect
978. C2×#120C2×D79semidirect
983. C2×C4×D4C2×D79semidirect
985. C22×C22⋊C4C2×D79semidirect
1178. C4×D4C22⋊D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990722
#237716892
#237716792
#237700672
#237700222
#237699922
#237699832
#237698172
#237697652
#237697522
#237697462
#237697342
#237697282
#237697252
#237697212
#237696472
#237696212
#237696142
#237696122
#237692852
#237692392
#237690892
#237690292
#237689992
#237689822
#237683722
#237682902
#237667452
#237667192
#237660432
C2×#538×C792
#3672479