Finite Group Databasebeta

← #34501984

Subgroups — #34501984

Order 20224.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099093C211yesmaximal, characteristic, complemented
2#23771726C211yesmaximal, characteristic, complemented
3#23771719C211yesmaximal, characteristic, complemented
4#23770289C211yesmaximal, characteristic, complemented
5#23770259C211yesmaximal, characteristic, complemented
6#23770190C211yesmaximal, characteristic, complemented
7#23770151C211yesmaximal, characteristic, complemented
8#23770127C211yesmaximal, characteristic, complemented
9#23770112C211yesmaximal, characteristic, complemented
10#23770084C211yesmaximal, characteristic, complemented
11#23770039C211yesmaximal, characteristic, complemented
12#23769931C211yesmaximal, characteristic, complemented
13#23769877C211yesmaximal, characteristic, complemented
14#23769746C211yesmaximal, characteristic, complemented
15#23769737C211yesmaximal, characteristic, complemented
16#23769701C211yesmaximal, characteristic, complemented
17#23769660C211yesmaximal, characteristic, complemented
18#23769651C211yesmaximal, characteristic, complemented
19#23769630C211yesmaximal, characteristic, complemented
20#23769285C211yesmaximal, characteristic, complemented
21#23769239C211yesmaximal, characteristic, complemented
22#23769072C211yesmaximal, characteristic, complemented
23#23769014C211yesmaximal, characteristic, complemented
24#23768977C211yesmaximal, characteristic, complemented
25#23768960C211yesmaximal, characteristic, complemented
26#23768362C211yesmaximal, characteristic, complemented
27#23768309C211yesmaximal, characteristic, complemented
28#23767863C211yesmaximal, characteristic, complemented
29#23767846C211yesmaximal, characteristic, complemented
30#23766033C211yesmaximal, characteristic, complemented
31C2×#540×C79C211yesmaximal, characteristic, complemented
32#19099093—28no—
33C2×#14579156C2211yescharacteristic
34C2×#14579154C2211yescharacteristic
35C2×#14579151C2211yescharacteristic
36C2×#14579147C2211yescharacteristic
37C2×#14579145C2211yescharacteristic
38C2×#14579142C2211yescharacteristic
39C2×#14579142C2211yescharacteristic
40C2×#14579142C2211yescharacteristic
41C2×#14579140C2211yescharacteristic
42C2×#14579140C2211yescharacteristic
43C2×#14579138C2211yescharacteristic
44C2×#14579133C2211yescharacteristic
45C2×#14579133C2211yescharacteristic
46C2×#14579133C2211yescharacteristic
47C2×C4×Dic158C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×#14579120C2211yescharacteristic
51C2×#14579118C2211yescharacteristic
52C22×C4×Dic79C2211yescharacteristic
53#19098502C2211yescharacteristic
54#19098501C2211yescharacteristic
55#19098501C2211yescharacteristic
56#19098499C2211yescharacteristic
57#19098498C2211yescharacteristic
58#19098498C2211yescharacteristic
59#19098496C2211yescharacteristic
60#19098496C2211yescharacteristic
61#19098494C2211yescharacteristic
62#19098494C2211yescharacteristic
63#19098494C2211yescharacteristic
64#19098493C2211yescharacteristic
65#19098493C2211yescharacteristic
66#19098491C2211yescharacteristic
67#19098491C2211yescharacteristic
68#19098489C2211yescharacteristic
69#19098488C2211yescharacteristic
70#19098488C2211yescharacteristic
71#19098486C2211yescharacteristic
72#19098486C2211yescharacteristic
73#19098485C2211yescharacteristic
74#19098485C2211yescharacteristic
75#19098483C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098478C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098477C2211yescharacteristic
81#19098477C2211yescharacteristic
82#19098477C2211yescharacteristic
83#19098477C2211yescharacteristic
84#19098477C2211yescharacteristic
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098477C2211yescharacteristic
89#19098477C2211yescharacteristic
90#19098477C2211yescharacteristic
91#19098477C2211yescharacteristic
92#19098477C2211yescharacteristic
93#19098475C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098471C2211yescharacteristic
100#19098471C2211yescharacteristic
101#19098466C2211yescharacteristic
102#19098466C2211yescharacteristic
103#19098466C2211yescharacteristic
104#19098466C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098459C2211yescharacteristic
107#19098459C2211yescharacteristic
108#19098458C2211yescharacteristic
109#19098457C2211yescharacteristic
110#19098456C2211yescharacteristic
111#19098456C2211yescharacteristic
112#19098454C2211yescharacteristic
113#19098453C2211yescharacteristic
114#19098451C2211yescharacteristic
115#19098451C2211yescharacteristic
116#19098451C2211yescharacteristic
117#19098451C2211yescharacteristic
118#19098451C2211yescharacteristic
119#19098451C2211yescharacteristic
120#19098451C2211yescharacteristic
121#19098451C2211yescharacteristic
122#19098451C2211yescharacteristic
123#19098451C2211yescharacteristic
124#19098451C2211yescharacteristic
125#19098449C2211yescharacteristic
126#19098449C2211yescharacteristic
127#19098447C2211yescharacteristic
128#19098447C2211yescharacteristic
129#19098447C2211yescharacteristic
130#19098444C2211yescharacteristic
131#19098444C2211yescharacteristic
132#19098444C2211yescharacteristic
133#19098444C2211yescharacteristic
134#19098444C2211yescharacteristic
135#19098443C2211yescharacteristic
136#19098443C2211yescharacteristic
137#19098443C2211yescharacteristic
138#19098443C2211yescharacteristic
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic
142#19098443C2211yescharacteristic
143#19098443C2211yescharacteristic
144#19098443C2211yescharacteristic
145#19098442C2211yescharacteristic
146#19098442C2211yescharacteristic
147#19098442C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098438C2211yescharacteristic
152#19098438C2211yescharacteristic
153#19098436C2211yescharacteristic
154#19098436C2211yescharacteristic
155#19098436C2211yescharacteristic
156#19098436C2211yescharacteristic
157#19098436C2211yescharacteristic
158#19098435C2211yescharacteristic
159#19098435C2211yescharacteristic
160#19098434C2211yescharacteristic
161#19098432C2211yescharacteristic
162#19098431C2211yescharacteristic
163#19098429C2211yescharacteristic
164#19098428C2211yescharacteristic
165#19098426C2211yescharacteristic
166#19098423C2211yescharacteristic
167#19098423C2211yescharacteristic
168#19098423C2211yescharacteristic
169#19098421C2211yescharacteristic
170#19098421C2211yescharacteristic
171C4×C22⋊Dic79C2211yescharacteristic
172C2×C79⋊#95C2211yescharacteristic
173#540×C79—28no—
174C2×#127×C79C2211yescharacteristic
175C2×#125×C79C2211yescharacteristic
176C2×#123×C79C2211yescharacteristic
177C2×#123×C79C2211yescharacteristic
178C2×#123×C79C2211yescharacteristic
179C2×#123×C79C2211yescharacteristic
180C2×#121×C79C2211yescharacteristic
181C2×#121×C79C2211yescharacteristic
182C2×#121×C79C2211yescharacteristic
183C2×#121×C79C2211yescharacteristic
184C2×#121×C79C2211yescharacteristic
185C2×#121×C79C2211yescharacteristic
186C2×C4×D4×C79C2211yescharacteristic
187C2×C4×D4×C79C2211yescharacteristic
188C2×#117×C79C2211yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200#14579156—24no—
201#14579154—24no—
202#14579151—24no—
203#14579147—24no—
204#14579145—24no—
205#14579142—24no—
206#14579142—42no—
207#14579142—42no—
208#14579140—42no—
209#14579140—42no—
210#14579138—24no—
211#14579133—24no—
212#14579133—42no—
213#14579133—42no—
214C4×Dic158—24no—
215C4×C22⋊D79—24no—
216C4×C22⋊D79—24no—
217#14579120—24no—
218#14579118—24no—
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×C4×Dic79—24no—
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344#127×C79—24no—
345#125×C79—24no—
346#123×C79—24no—
347#123×C79—24no—
348#123×C79—24no—
349#123×C79—24no—
350#121×C79—24no—
351#121×C79—24no—
352#121×C79—24no—
353#121×C79—24no—
354#121×C79—24no—
355#121×C79—24no—
356C4×D4×C79—24no—
357C4×D4×C79D418yescomplemented
358#117×C79—24no—
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×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×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C42×C79C2311yescharacteristic
378C2×C42×C79C2311yescharacteristic
379C23×D79C2411yescharacteristic
380C2×Dic158—22no—
381C2×Dic158—22no—
382C2×Dic158—41no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C22×Dic79—22no—
399C22×Dic79—22no—
400C22×Dic79—22no—
401C22×Dic79—41no—
402C22×Dic79—41no—
403C22×Dic79—41no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C2×C4×D79—22no—
426C2×C4×D79—41no—
427C2×C4×D79—41no—
428C4⋊Dic79—22no—
429C4⋊Dic79—22no—
430C4⋊Dic79—22no—
431C4⋊Dic79—41no—
432C4⋊Dic79—41no—
433C4⋊Dic79—41no—
434C4⋊Dic79—41no—
435Dic79⋊C4—22no—
436Dic79⋊C4—22no—
437Dic79⋊C4—22no—
438Dic79⋊C4—22no—
439Dic79⋊C4—22no—
440Dic79⋊C4—22no—
441Dic79⋊C4—22no—
442Dic79⋊C4—22no—
443Dic79⋊C4—22no—
444Dic79⋊C4—41no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454C22⋊Dic79—22no—
455C22⋊Dic79—22no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494C4×Dic79—22no—
495C4×Dic79—22no—
496C4×Dic79—22no—
497C4×Dic79—22no—
498C4×Dic79—22no—
499C4×Dic79—41no—
500C4×Dic79—41no—
501C24×C79C2411yescharacteristic
502C24×C79C2411yescharacteristic
503C24×C79C2411yescharacteristic
504C24×C79C2411yescharacteristic
505C24×C79C2411yescharacteristic
506C2×D4×C79—22no—
507C2×D4×C79—22no—
508C2×D4×C79—22no—
509C2×D4×C79—22no—
510C2×D4×C79—22no—
511C2×D4×C79—22no—
512C2×D4×C79—22no—
513C2×D4×C79—22no—
514C2×D4×C79—22no—
515C2×D4×C79—41no—
516C2×D4×C79—41no—
517C2×D4×C79—41no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C2×D4×C79—41no—
522C2×D4×C79—41no—
523C2×D4×C79—41no—
524C2×D4×C79—41no—
525C2×D4×C79—41no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79C2×D414yes—
536C22×C4×C79—22no—
537C22×C4×C79—22no—
538C22×C4×C79—22no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79—41no—
549C22×C4×C79C2×D414yes—
550C22×C4×C79C2×D414yes—
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C4⋊C4×C79—22no—
562C4⋊C4×C79—22no—
563C4⋊C4×C79—22no—
564C4⋊C4×C79—22no—
565C4⋊C4×C79—22no—
566C4⋊C4×C79—22no—
567C4⋊C4×C79—22no—
568C4⋊C4×C79C2×D414yes—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—22no—
575C22⋊C4×C79—22no—
576C22⋊C4×C79—22no—
577C22⋊C4×C79C2×D414yes—
578C22⋊C4×C79C2×D414yes—
579C42×C79—22no—
580C42×C79C2×D414yes—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79C22×D412yes—
615C23×C79C22×D412yes—
616C23×C79C2511yescharacteristic
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624D4×C79—44no—
625D4×C79—44no—
626D4×C79—82no—
627D4×C79—82no—
628D4×C79—82no—
629D4×C79—82no—
630D4×C79—82no—
631D4×C79—82no—
632D4×C79—82no—
633D4×C79—82no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—44no—
660C2×C4×C79—44no—
661C2×C4×C79—44no—
662C2×C4×C79—82no—
663C2×C4×C79—82no—
664C2×C4×C79C22×D412yes—
665C2×C4×C79C22×D412yes—
666C2×C4×C79C22×D412yes—
667C2×C4×C79C22×D412yes—
668C2×C4×C79C22×D412yes—
669C22⋊D79—44no—
670C22⋊D79—44no—
671C22⋊D79—82no—
672C22⋊D79—82no—
673C22⋊D79—82no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—44no—
719C2×Dic79—44no—
720C2×Dic79—82no—
721C2×Dic79—82no—
722C2×Dic79H(5,𝔽2)12yes—
723C4×D79—44no—
724Dic158—44no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79C23×D411yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79#58511yescharacteristic
763C22×C79#58511yescharacteristic
764C22×C79#58511yescharacteristic
765C22×C79#58511yescharacteristic
766C22×C79#58511yescharacteristic
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C4×C79—22no—
775C4×C79—22no—
776C4×C79—22no—
777C4×C79—22no—
778C4×C79—22no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784Dic79—22no—
785Dic79—41no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799#36964—791nomaximal, Sylow
800C2×C79—42no—
801C2×C79—42no—
802C2×C79—81no—
803C2×C79—81no—
804C2×C79—81no—
805C2×C79#344911yescharacteristic
806C2×C79#348511yescharacteristic
807C2×C79#348811yescharacteristic
808C2×C79#355111yescharacteristic
809C2×C79#356211yescharacteristic
810C2×C79#356611yescharacteristic
811C2×C79#356711yescharacteristic
812D79—81no—
813C2×#540D7911yescharacteristic, complemented
814C2×#529—791no—
815#2854—791no—
816#2853—791no—
817#2721—791no—
818#2719—791no—
819#2714—791no—
820#2711—791no—
821#2709—791no—
822#2708—791no—
823#2706—791no—
824#2703—791no—
825#2695—791no—
826#2691—791no—
827#2681—791no—
828#2680—791no—
829#2676—791no—
830#2673—791no—
831#2672—791no—
832#2671—791no—
833#2635—791no—
834#2630—791no—
835#2609—791no—
836#2602—791no—
837#2599—791no—
838#2598—791no—
839#2543—791no—
840#2536—791no—
841#2500—791no—
842#2498—791no—
843#2318—791no—
844C79#3696411yescharacteristic, complemented, Sylow
845#540—28no—
846C2×#127C2×D7911yescharacteristic
847#529—1588no—
848C2×#126—791no—
849C2×#126—791no—
850C2×#125—791no—
851C2×#125C2×D7911yescharacteristic
852C2×#124—791no—
853C2×#123—791no—
854C2×#123—791no—
855C2×#123—791no—
856C2×#123—791no—
857C2×#123C2×D7911yescharacteristic
858C2×#123C2×D7911yescharacteristic
859C2×#123C2×D7911yescharacteristic
860C2×#123C2×D7911yescharacteristic
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×#121—791no—
865C2×#121—791no—
866C2×#121—791no—
867C2×#121C2×D7911yescharacteristic
868C2×#121C2×D7911yescharacteristic
869C2×#121C2×D7911yescharacteristic
870C2×#121C2×D7911yescharacteristic
871C2×#121C2×D7911yescharacteristic
872C2×#121C2×D7911yescharacteristic
873C2×C4×Q8—791no—
874C2×C4×D4—791no—
875C2×C4×D4—791no—
876C2×C4×D4C2×D7911yescharacteristic
877C2×C4×D4C2×D7911yescharacteristic
878C2×#117—791no—
879C2×#117—791no—
880C2×#117C2×D7911yescharacteristic
881C22×C42—791no—
882#400—791no—
883#400—791no—
884#400—791no—
885#399—791no—
886#399—791no—
887#399—791no—
888#398—791no—
889#398—791no—
890#398—791no—
891#398—791no—
892#398—791no—
893#398—791no—
894#398—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#396—791no—
901#396—791no—
902#396—791no—
903#396—791no—
904#395—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#393—791no—
923#392—791no—
924#392—791no—
925#392—791no—
926#392—791no—
927#392—791no—
928#392—791no—
929#392—791no—
930#390—791no—
931#390—791no—
932#390—791no—
933#390—791no—
934#390—791no—
935#389—791no—
936#389—791no—
937#389—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388—791no—
945#388—791no—
946#388—791no—
947#388—791no—
948#388—791no—
949#388—791no—
950#388—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#387—791no—
955#387—791no—
956#387—791no—
957#387—791no—
958#387—791no—
959#387—791no—
960#387—791no—
961#387—791no—
962#387—791no—
963#387—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386—791no—
968#386—791no—
969#386—791no—
970#386—791no—
971#386—791no—
972#386—791no—
973#386—791no—
974#386—791no—
975#386—791no—
976#386—791no—
977#386—791no—
978#386—791no—
979#386—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#385—791no—
985#385—791no—
986#385—791no—
987#385—791no—
988#385—791no—
989#385—791no—
990#384—791no—
991#383—791no—
992#382—791no—
993#382—791no—
994#381—791no—
995#380—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#380—791no—
1000C4×C22⋊C4—791no—
1001C2×#95—791no—
1002C22×Q8—791no—
1003C22×D4—791no—
1004C22×D4—791no—
1005C22×D4—791no—
1006C22×D4—791no—
1007C22×D4—791no—
1008C22×D4C22×D7911yescharacteristic
1009C22×D4C22×D7911yescharacteristic
1010C22×D4C22×D7911yescharacteristic
1011C22×D4C22×D7911yescharacteristic
1012C22×D4C22×D7911yescharacteristic
1013C22×D4C22×D7911yescharacteristic
1014C22×D4C22×D7911yescharacteristic
1015C22×D4C22×D7911yescharacteristic
1016C22×D4C22×D7911yescharacteristic
1017C22×D4C22×D7911yescharacteristic
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026C23×C4C22×D7911yescharacteristic
1027C23×C4C22×D7911yescharacteristic
1028#127—24no—
1029#126—1584no—
1030#126—1584no—
1031#125—24no—
1032#125—1584no—
1033#124—1584no—
1034#123—24no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—3162no—
1039#123—3162no—
1040#123—1584no—
1041#123—1584no—
1042C22⋊Q8—3162no—
1043C22⋊Q8—3162no—
1044C22⋊Q8—1584no—
1045#121—24no—
1046#121—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—3162no—
1052#121—3162no—
1053#121—1584no—
1054C4×Q8—1584no—
1055C4×D4—24no—
1056C4×D4—1584no—
1057C4×D4—1584no—
1058C4×D4C22⋊D7918yescomplemented
1059#117—24no—
1060#117—1584no—
1061#117—1584no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C42—791no—
1147C2×C42—791no—
1148C2×C42—791no—
1149C2×C42—791no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—1584no—
1154C2×C42C22×D7911yescharacteristic
1155C2×C42C22×D7911yescharacteristic
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192C24—791no—
1193C24C23×D7911yescharacteristic
1194C24C23×D7911yescharacteristic
1195C24C23×D7911yescharacteristic
1196C24C23×D7911yescharacteristic
1197C24C23×D7911yescharacteristic
1198C2×Q8—3161no—
1199C2×Q8—1582no—
1200C2×Q8—1582no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C2×D4C2×C22⋊D7914yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4C2×C22⋊D7914yes—
1290C22×C4C2×C22⋊D7914yes—
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C4⋊C4—1582no—
1333C4⋊C4—1582no—
1334C4⋊C4C2×C22⋊D7914yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4C2×C22⋊D7914yes—
1384C22⋊C4C2×C22⋊D7914yes—
1385C42—22no—
1386C42—3161no—
1387C42—3161no—
1388C42—1582no—
1389C42—1582no—
1390C42—1582no—
1391C42—1582no—
1392C42—1582no—
1393C42C2×C22⋊D7914yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23C22×C22⋊D7912yes—
1435C23C22×C22⋊D7912yes—
1436C23C24×D7911yescharacteristic
1437Q8—3164no—
1438D4—44no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—3164no—
1449D4—3164no—
1450D4—6322no—
1451D4—6322no—
1452D4—6322no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—3164no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—792no—
1487C2×C4—6322no—
1488C2×C4—6322no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4C22×C22⋊D7912yes—
1534C2×C4C22×C22⋊D7912yes—
1535C2×C4C22×C22⋊D7912yes—
1536C2×C4C22×C22⋊D7912yes—
1537C2×C4C22×C22⋊D7912yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22C23×C22⋊D7911yescharacteristic
1581C22H(5,𝔽2)×D7911yescharacteristic
1582C22#1909939811yescharacteristic
1583C22#1909939811yescharacteristic
1584C22#1909939811yescharacteristic
1585C22#1909939911yescharacteristic
1586C22#1909939911yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—1582no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—6321no—
1618C2#2377672911yescharacteristic
1619C2#2377704011yescharacteristic
1620C2#2377706211yescharacteristic
1621C2#2377782111yescharacteristic
1622C2#2377797911yescharacteristic
1623C2#2377807211yescharacteristic
1624C2#2377808511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC2×#540×C79C2
hypercenterC2×#540D79
hypocenterC79#36964
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#19099093C2semidirect
2. #23771726C2semidirect
3. #23771719C2semidirect
4. #23770289C2semidirect
5. #23770259C2semidirect
6. #23770190C2semidirect
7. #23770151C2semidirect
8. #23770127C2semidirect
9. #23770112C2semidirect
10. #23770084C2semidirect
11. #23770039C2semidirect
12. #23769931C2semidirect
13. #23769877C2semidirect
14. #23769746C2semidirect
15. #23769737C2semidirect
16. #23769701C2semidirect
17. #23769660C2semidirect
18. #23769651C2semidirect
19. #23769630C2semidirect
20. #23769285C2semidirect
21. #23769239C2semidirect
22. #23769072C2semidirect
23. #23769014C2semidirect
24. #23768977C2semidirect
25. #23768960C2semidirect
26. #23768362C2semidirect
27. #23768309C2semidirect
28. #23767863C2semidirect
29. #23767846C2semidirect
30. #23766033C2semidirect
31. C2×#540×C79C2semidirect
357. C4×D4×C79D4semidirect
813. C2×#540D79semidirect
844. C79#36964semidirect
1058. C4×D4C22⋊D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990932
#237717262
#237717192
#237702892
#237702592
#237701902
#237701512
#237701272
#237701122
#237700842
#237700392
#237699312
#237698772
#237697462
#237697372
#237697012
#237696602
#237696512
#237696302
#237692852
#237692392
#237690722
#237690142
#237689772
#237689602
#237683622
#237683092
#237678632
#237678462
#237660332
C2×#540×C792
#3696479