Finite Group Databasebeta

← #34448752

Subgroups — #34448752

Order 20224.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099069C211yesmaximal, characteristic
2#23766481C211yesmaximal, characteristic, complemented
3#23766478C211yesmaximal, characteristic, complemented
4#23766448C211yesmaximal, characteristic, complemented
5#23766445C211yesmaximal, characteristic, complemented
6#23766398C211yesmaximal, characteristic, complemented
7#23766394C211yesmaximal, characteristic, complemented
8#23766390C211yesmaximal, characteristic, complemented
9#23766386C211yesmaximal, characteristic, complemented
10#23766338C211yesmaximal, characteristic, complemented
11#23766334C211yesmaximal, characteristic, complemented
12#23766306C211yesmaximal, characteristic, complemented
13#23766305C211yesmaximal, characteristic, complemented
14#23766258C211yesmaximal, characteristic, complemented
15#23766254C211yesmaximal, characteristic, complemented
16#23766226C211yesmaximal, characteristic, complemented
17#23766225C211yesmaximal, characteristic, complemented
18#23766131C211yesmaximal, characteristic, complemented
19#23766128C211yesmaximal, characteristic, complemented
20#23766101C211yesmaximal, characteristic, complemented
21#23766098C211yesmaximal, characteristic, complemented
22#23766028C211yesmaximal, characteristic, complemented
23#23766026C211yesmaximal, characteristic, complemented
24#120×Dic79C211yesmaximal, characteristic, complemented
25C4×#14579130C211yesmaximal, characteristic, complemented
26#23765899C211yesmaximal, characteristic, complemented
27#23765778C211yesmaximal, characteristic, complemented
28#23765761C211yesmaximal, characteristic, complemented
29#23765759C211yesmaximal, characteristic, complemented
30C22×C79⋊#95C211yesmaximal, characteristic, complemented
31C4×#120×C79C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C24×Dic79C2211yescharacteristic
34C24×Dic79C2211yescharacteristic
35#19099069C4116yescomplemented
36C2×#14579145C2211yescharacteristic
37C2×#14579142C2211yescharacteristic
38C2×#14579138C2211yescharacteristic
39C2×#14579138C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579130C2211yescharacteristic
43C2×D4×Dic79C2211yescharacteristic
44C2×D4×Dic79C2211yescharacteristic
45C2×D4×Dic79C2211yescharacteristic
46C2×D4×Dic79C2211yescharacteristic
47C2×D4×Dic79C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×C4×C22⋊D79C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic
53C2×(C22⋊D79)⋊C4C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic
55C2×(C22⋊D79)⋊C4C2211yescharacteristic
56C2×#14579117C2211yescharacteristic
57C2×#14579117C2211yescharacteristic
58C2×#14579117C2211yescharacteristic
59#19098469C2211yescharacteristic, complemented
60#19098468C2211yescharacteristic, complemented
61#19098467C2211yescharacteristic, complemented
62#19098467C2211yescharacteristic, complemented
63#19098461C2211yescharacteristic, complemented
64#19098460C2211yescharacteristic, complemented
65#19098459C2211yescharacteristic, complemented
66#19098458C2211yescharacteristic, complemented
67#19098457C2211yescharacteristic, complemented
68#19098457C2211yescharacteristic, complemented
69#19098455C2211yescharacteristic, complemented
70#19098454C2211yescharacteristic, complemented
71#19098453C2211yescharacteristic, complemented
72#19098452C2211yescharacteristic, complemented
73#19098451C2211yescharacteristic, complemented
74#19098451C2211yescharacteristic, complemented
75#19098450C2211yescharacteristic, complemented
76#19098450C2211yescharacteristic, complemented
77#19098450C2211yescharacteristic, complemented
78#19098448C2211yescharacteristic, complemented
79#19098448C2211yescharacteristic, complemented
80#19098447C2211yescharacteristic, complemented
81#19098447C2211yescharacteristic, complemented
82#19098447C2211yescharacteristic, complemented
83#19098446C2211yescharacteristic, complemented
84#19098446C2211yescharacteristic, complemented
85#19098445C2211yescharacteristic, complemented
86#19098445C2211yescharacteristic, complemented
87#19098445C2211yescharacteristic, complemented
88#19098444C2211yescharacteristic, complemented
89#19098444C2211yescharacteristic, complemented
90#19098444C2211yescharacteristic, complemented
91#19098443C2211yescharacteristic
92#19098443C2211yescharacteristic
93#19098443C2211yescharacteristic
94#19098442C2211yescharacteristic
95#19098442C2211yescharacteristic
96#19098442C2211yescharacteristic
97#19098442C2211yescharacteristic, complemented
98#19098440C2211yescharacteristic
99#19098440C2211yescharacteristic
100#19098440C2211yescharacteristic
101#19098440C2211yescharacteristic, complemented
102#19098439C2211yescharacteristic, complemented
103#19098439C2211yescharacteristic, complemented
104#19098438C2211yescharacteristic
105#19098438C2211yescharacteristic
106#19098438C2211yescharacteristic
107#19098437C2211yescharacteristic, complemented
108#19098436C2211yescharacteristic
109#19098436C2211yescharacteristic
110#19098436C2211yescharacteristic
111#19098436C2211yescharacteristic, complemented
112#19098435C2211yescharacteristic
113#19098435C2211yescharacteristic
114#19098435C2211yescharacteristic
115#19098435C2211yescharacteristic, complemented
116#19098434C2211yescharacteristic, complemented
117#19098430C2211yescharacteristic, complemented
118#19098430C2211yescharacteristic, complemented
119#19098428C2211yescharacteristic, complemented
120#19098427C2211yescharacteristic, complemented
121#19098425C2211yescharacteristic, complemented
122#19098424C2211yescharacteristic
123#19098424C2211yescharacteristic
124#19098424C2211yescharacteristic, complemented
125#19098421C2211yescharacteristic
126#19098421C2211yescharacteristic
127#19098421C2211yescharacteristic
128#19098421C2211yescharacteristic
129#19098421C2211yescharacteristic, complemented
130#19098420C2211yescharacteristic, complemented
131#19098419C2211yescharacteristic
132C4⋊C4×Dic79C2211yescharacteristic, complemented
133C4⋊C4×Dic79C2211yescharacteristic, complemented
134C4×Dic79⋊C4C2211yescharacteristic, complemented
135C4×Dic79⋊C4C2211yescharacteristic, complemented
136C4×C4⋊Dic79C2211yescharacteristic, complemented
137#19098414C2211yescharacteristic, complemented
138C22⋊C4×Dic79C2211yescharacteristic
139C22⋊C4×Dic79C2211yescharacteristic
140C22⋊C4×Dic79C2211yescharacteristic
141C22⋊C4×Dic79C2211yescharacteristic
142C22⋊C4×Dic79C2211yescharacteristic
143C22⋊C4×Dic79C2211yescharacteristic
144C22⋊C4×Dic79C2211yescharacteristic
145C22⋊C4×Dic79C2211yescharacteristic
146C22⋊C4×Dic79C2211yescharacteristic
147C22⋊C4×Dic79C2211yescharacteristic
148C22⋊C4×Dic79C2211yescharacteristic, complemented
149C22⋊C4×Dic79C2211yescharacteristic, complemented
150C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
151C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
152C4×C22⋊Dic79C2211yescharacteristic
153C4×C22⋊Dic79C2211yescharacteristic
154C4×C22⋊Dic79C2211yescharacteristic
155C4×C22⋊Dic79C2211yescharacteristic, complemented
156#19098410C2211yescharacteristic, complemented
157#19098409C2211yescharacteristic, complemented
158#19098408C2211yescharacteristic, complemented
159C2×C79⋊#95C2211yescharacteristic
160C2×C79⋊#95C2211yescharacteristic
161C2×C79⋊#95C2211yescharacteristic
162C2×C79⋊#95C2211yescharacteristic
163C2×C79⋊#95C2211yescharacteristic
164C2×C79⋊#95C2211yescharacteristic
165C2×C79⋊#95C2211yescharacteristic
166C2×C79⋊#95C2211yescharacteristic
167C2×C79⋊#95C2211yescharacteristic
168C2×C79⋊#95C2211yescharacteristic
169C2×C79⋊#95C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C24×C4×C79C2211yescharacteristic
174C2×#120×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176C2×C4×D4×C79C2211yescharacteristic
177C2×C4×D4×C79C2211yescharacteristic
178#386×C79C2211yescharacteristic
179#386×C79C2211yescharacteristic
180#386×C79C2211yescharacteristic
181#385×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#379×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic
188C2×#11929623—42no—
189C2×#11929623—42no—
190C2×#11929623C2×C418yescomplemented
191C22×Dic158C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79—24no—
197C23×Dic79—42no—
198C23×Dic79—42no—
199C23×Dic79—42no—
200C23×Dic79—42no—
201C23×Dic79C2×C418yescomplemented
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C23×Dic79C2311yescharacteristic
211C23×Dic79C2311yescharacteristic
212C23×Dic79C2311yescharacteristic
213C23×Dic79C2311yescharacteristic
214C23×Dic79C2311yescharacteristic
215C23×Dic79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219#14579145C2×C418yescomplemented
220#14579142C2×C418yescomplemented
221#14579138C2×C418yescomplemented
222#14579138C2×C418yescomplemented
223#14579133C2×C418yescomplemented
224#14579133C2×C418yescomplemented
225#14579130C2×C418yescomplemented
226D4×Dic79—24no—
227D4×Dic79—42no—
228D4×Dic79—42no—
229D4×Dic79C2×C418yescomplemented
230D4×Dic79C2×C418yescomplemented
231C4×C22⋊D79—24no—
232C4×C22⋊D79—42no—
233C4×C22⋊D79—42no—
234(C22⋊D79)⋊C4—24no—
235(C22⋊D79)⋊C4—42no—
236(C22⋊D79)⋊C4—42no—
237(C22⋊D79)⋊C4C2×C418yescomplemented
238(C22⋊D79)⋊C4C2×C418yescomplemented
239#14579117—42no—
240#14579117—42no—
241#14579117C2×C418yescomplemented
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
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×(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×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
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
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C25×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C23×C4×C79—24no—
345C23×C4×C79—42no—
346C23×C4×C79—42no—
347C23×C4×C79C2311yescharacteristic
348C23×C4×C79C2311yescharacteristic
349C23×C4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354#120×C79C2×C418yescomplemented
355C4×D4×C79—24no—
356C4×D4×C79—42no—
357C4×D4×C79—42no—
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊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×C42×C79C2311yescharacteristic
374C2×C42×C79C2311yescharacteristic
375C2×C42×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382C23×D79C2411yescharacteristic
383#11929623—416no—
384C2×Dic158—41no—
385C2×Dic158—41no—
386C2×Dic158C22×C414yescomplemented
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79C22×C414yes—
396C2×C22⋊D79C22×C414yes—
397C2×C22⋊D79C22×C414yes—
398C2×C22⋊D79C22×C414yescomplemented
399C22×Dic79—22no—
400C22×Dic79—22no—
401C22×Dic79—22no—
402C22×Dic79—22no—
403C22×Dic79—22no—
404C22×Dic79—22no—
405C22×Dic79—22no—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—22no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—416no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—41no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79—416no—
435C22×Dic79C22×C414yes—
436C22×Dic79C22×C414yes—
437C22×Dic79C22×C414yes—
438C22×Dic79C22×C414yes—
439C22×Dic79C22×C414yes—
440C22×Dic79C22×C414yes—
441C22×Dic79C22×C414yescomplemented
442C22×Dic79#4114yescomplemented
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79C22×C414yescomplemented
467C4⋊Dic79—22no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470C4⋊Dic79C22×C414yescomplemented
471C4⋊Dic79C22×C414yescomplemented
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4C22×C414yescomplemented
483Dic79⋊C4C22×C414yescomplemented
484Dic79⋊C4C22×C414yescomplemented
485Dic79⋊C4C22×C414yescomplemented
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—22no—
491C22⋊Dic79—22no—
492C22⋊Dic79—22no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79C22×C414yes—
496C22⋊Dic79C22×C414yes—
497C22⋊Dic79C22×C414yes—
498C22⋊Dic79C22×C414yescomplemented
499C22⋊Dic79C22×C414yescomplemented
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4C22×C414yescomplemented
507(C2×D79)⋊C4C22×C414yescomplemented
508C4×Dic79—22no—
509C4×Dic79—22no—
510C4×Dic79—22no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79C22×C414yescomplemented
522C4×Dic79C22×C414yescomplemented
523C24×C79—22no—
524C24×C79—22no—
525C24×C79—22no—
526C24×C79—22no—
527C24×C79—22no—
528C24×C79—22no—
529C24×C79C22×C414yes—
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C24×C79C2411yescharacteristic
534C2×D4×C79—22no—
535C2×D4×C79—22no—
536C2×D4×C79—22no—
537C2×D4×C79—22no—
538C2×D4×C79—22no—
539C2×D4×C79—22no—
540C2×D4×C79C22×C414yes—
541C2×D4×C79C22×C414yes—
542C2×D4×C79C22×C414yes—
543C22×C4×C79—22no—
544C22×C4×C79—22no—
545C22×C4×C79—22no—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—22no—
549C22×C4×C79—22no—
550C22×C4×C79—22no—
551C22×C4×C79—22no—
552C22×C4×C79—22no—
553C22×C4×C79—41no—
554C22×C4×C79—41no—
555C22×C4×C79—41no—
556C22×C4×C79—41no—
557C22×C4×C79—41no—
558C22×C4×C79—41no—
559C22×C4×C79—41no—
560C22×C4×C79—41no—
561C22×C4×C79—41no—
562C22×C4×C79—41no—
563C22×C4×C79—416no—
564C22×C4×C79#4114yescomplemented
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C4⋊C4×C79—22no—
577C4⋊C4×C79—41no—
578C4⋊C4×C79—41no—
579C22⋊C4×C79—22no—
580C22⋊C4×C79—22no—
581C22⋊C4×C79—22no—
582C22⋊C4×C79—22no—
583C22⋊C4×C79—22no—
584C22⋊C4×C79—22no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—41no—
587C22⋊C4×C79—41no—
588C22⋊C4×C79C22×C414yes—
589C22⋊C4×C79C22×C414yes—
590C22⋊C4×C79C22×C414yes—
591C42×C79—22no—
592C42×C79—41no—
593C42×C79—41no—
594C23×C79—28no—
595C23×C79—28no—
596C23×C79—28no—
597C23×C79—28no—
598C23×C79—28no—
599C23×C79—28no—
600C23×C79—28no—
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×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79C23×C412yes—
620C23×C79C23×C412yes—
621C23×C79C23×C412yes—
622C23×C79C23×C412yes—
623C23×C79C2×#4112yes—
624C23×C79C2×#4112yes—
625C23×C79H(5,𝔽2)12yes—
626C23×C79H(5,𝔽2)12yes—
627C23×C79H(5,𝔽2)12yes—
628C23×C792−1+412yes—
629C23×C79C2511yescharacteristic
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79C23×C412yes—
637D4×C79—28no—
638D4×C79—28no—
639D4×C79—28no—
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—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—44no—
669C2×C4×C79—44no—
670C2×C4×C79—44no—
671C2×C4×C79—44no—
672C2×C4×C79—44no—
673C2×C4×C79—44no—
674C2×C4×C79—82no—
675C2×C4×C79C23×C412yes—
676C2×C4×C79C23×C412yes—
677C2×C4×C79C23×C412yes—
678C2×C4×C79C2×#4112yes—
679C2×C4×C79C2×#4112yes—
680C22⋊D79—28no—
681C22⋊D79—28no—
682C22⋊D79—28no—
683C22⋊D79—44no—
684C2×Dic79—28no—
685C2×Dic79—28no—
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—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—44no—
723C2×Dic79—44no—
724C2×Dic79—44no—
725C2×Dic79—44no—
726C2×Dic79—44no—
727C2×Dic79—44no—
728C2×Dic79—44no—
729C2×Dic79—44no—
730C2×Dic79—44no—
731C2×Dic79—44no—
732C2×Dic79—44no—
733C2×Dic79—82no—
734C2×Dic79C23×C412yes—
735C2×Dic79C23×C412yes—
736C2×Dic79C23×C412yes—
737C2×Dic79C23×C412yes—
738C2×Dic79C23×C412yes—
739C2×Dic79C23×C412yes—
740C2×Dic79C23×C412yes—
741C2×Dic79C2×#4112yes—
742C2×Dic79C2×#4112yes—
743C4×D79—44no—
744C4×D79—82no—
745C4×D79—82no—
746Dic158—44no—
747C22×C79—232no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—22no—
756C22×C79—22no—
757C22×C79—22no—
758C22×C79—22no—
759C22×C79—22no—
760C22×C79—22no—
761C22×C79—22no—
762C22×C79—22no—
763C22×C79—22no—
764C22×C79—22no—
765C22×C79—22no—
766C22×C79—22no—
767C22×C79—22no—
768C22×C79—22no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79C4×#4114yes—
774C22×C79#51814yes—
775C22×C79#52014yes—
776C22×C79C24×C411yescharacteristic
777C22×C79C22×#4111yescharacteristic
778C22×C79C22×#4111yescharacteristic
779C22×C79C2×H(5,𝔽2)11yescharacteristic
780C22×C79C2×H(5,𝔽2)11yescharacteristic
781C22×C79C2×H(5,𝔽2)11yescharacteristic
782C22×C79C2×2−1+411yescharacteristic
783C2×D79—22no—
784C2×D79—22no—
785C2×D79—22no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C4×C79—22no—
791C4×C79—22no—
792C4×C79—22no—
793C4×C79—22no—
794C4×C79—22no—
795C4×C79—41no—
796C4×C79—41no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801Dic79—22no—
802Dic79—22no—
803Dic79—22no—
804Dic79—22no—
805Dic79—22no—
806Dic79—22no—
807Dic79—22no—
808Dic79—22no—
809Dic79—22no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816#34218—791nomaximal, Sylow
817C2×C79—24no—
818C2×C79—24no—
819C2×C79—24no—
820C2×C79—42no—
821C2×C79C2×C4×#4111yescharacteristic
822C2×C79C2×#51811yescharacteristic
823C2×C79C2×#52011yescharacteristic
824C2×C79#349011yescharacteristic
825C2×C79#349011yescharacteristic
826C2×C79#349211yescharacteristic
827C2×C79#349211yescharacteristic
828D79—42no—
829C2×#525—791no—
830#2368—791no—
831#2368—791no—
832#2364—791no—
833#2364—791no—
834#2359—791no—
835#2359—791no—
836#2359—791no—
837#2359—791no—
838#2353—791no—
839#2353—791no—
840#2349—791no—
841#2349—791no—
842#2343—791no—
843#2343—791no—
844#2339—791no—
845#2339—791no—
846#2329—791no—
847#2329—791no—
848#2325—791no—
849#2325—791no—
850#2318—791no—
851#2318—791no—
852C4×#120—791no—
853C4×#120—791no—
854C4×#120—791no—
855C4×#120D7911yescharacteristic, complemented
856#2280—791no—
857#2275—791no—
858#2275—791no—
859C22×#95—791no—
860C79#3421811yescharacteristic, complemented, Sylow
861C22×#41—791no—
862C24×C4—791no—
863C24×C4—791no—
864C24×C4C2×D7911yescharacteristic
865#525—7916no—
866C2×#123—791no—
867C2×#123—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×#121—791no—
871C2×#121—791no—
872C2×#120—791no—
873C2×#120C2×D7911yescharacteristic
874C2×C4×D4—791no—
875C2×C4×D4—791no—
876C2×C4×D4—791no—
877C2×C4×D4—791no—
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C2×C4×D4—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C2×C4×D4—791no—
884C2×C4×D4—791no—
885C2×C4×D4—791no—
886C2×C4×D4—791no—
887C2×C4×D4C2×D7911yescharacteristic
888C2×C4×D4C2×D7911yescharacteristic
889C2×C4×D4C2×D7911yescharacteristic
890C2×#117—791no—
891C2×#117—791no—
892C2×#117—791no—
893#391—791no—
894#391—791no—
895#391—791no—
896#391—791no—
897#389—791no—
898#389—791no—
899#389—791no—
900#389—791no—
901#388—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#387—791no—
910#387—791no—
911#387—791no—
912#387—791no—
913#387—791no—
914#387—791no—
915#387—791no—
916#387—791no—
917#387—791no—
918#387—791no—
919#387—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#386—791no—
926#386—791no—
927#386—791no—
928#386—791no—
929#386—791no—
930#386—791no—
931#386—791no—
932#386—791no—
933#386—791no—
934#386—791no—
935#386—791no—
936#386—791no—
937#386—791no—
938#386C2×D7911yescharacteristic
939#386C2×D7911yescharacteristic
940#386C2×D7911yescharacteristic
941#385—791no—
942#385—791no—
943#385—791no—
944#385—791no—
945#385—791no—
946#385—791no—
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385C2×D7911yescharacteristic
955#385C2×D7911yescharacteristic
956#385C2×D7911yescharacteristic
957#383—791no—
958#383—791no—
959#382—791no—
960#382—791no—
961#381—791no—
962#381—791no—
963#381—791no—
964#381—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#379—791no—
972#379C2×D7911yescharacteristic
973C4×C4⋊C4—791no—
974C4×C4⋊C4—791no—
975C4×C4⋊C4—791no—
976C4×C4⋊C4—791no—
977C4×C4⋊C4—791no—
978C4×C4⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C4×C22⋊C4—791no—
983C4×C22⋊C4—791no—
984C4×C22⋊C4—791no—
985C4×C22⋊C4—791no—
986C4×C22⋊C4—791no—
987C4×C22⋊C4—791no—
988C4×C22⋊C4—791no—
989C4×C22⋊C4—791no—
990C4×C22⋊C4—791no—
991C4×C22⋊C4—791no—
992C4×C22⋊C4—791no—
993C4×C22⋊C4—791no—
994C4×C22⋊C4—791no—
995C4×C22⋊C4—791no—
996C4×C22⋊C4—791no—
997C4×C22⋊C4—791no—
998C4×C22⋊C4C2×D7911yescharacteristic
999C4×C22⋊C4C2×D7911yescharacteristic
1000C4×C22⋊C4C2×D7911yescharacteristic
1001#376—791no—
1002#376—791no—
1003C2×#95—791no—
1004C2×#95—791no—
1005C2×#95—791no—
1006C2×#95—791no—
1007C2×#95—791no—
1008C2×#95—791no—
1009C2×#95—791no—
1010C2×#95—791no—
1011C2×#95—791no—
1012C2×#95—791no—
1013C2×#95—791no—
1014C2×#95—791no—
1015C2×#95—791no—
1016C2×#95—791no—
1017C25C22×D7911yescharacteristic
1018C2×#41—3162no—
1019C2×#41—3162no—
1020C2×#41—798no—
1021C22×Q8—791no—
1022C22×D4—791no—
1023C22×D4—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4C22×D7911yescharacteristic
1027C22×D4C22×D7911yescharacteristic
1028C22×D4C22×D7911yescharacteristic
1029C23×C4—24no—
1030C23×C4—42no—
1031C23×C4—42no—
1032C23×C4—3162no—
1033C23×C4—3162no—
1034C23×C4—3162no—
1035C23×C4—3162no—
1036C23×C4—798no—
1037C23×C4—791no—
1038C23×C4—791no—
1039C23×C4—791no—
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048C23×C4—791no—
1049C23×C4—791no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—1584no—
1055C23×C4C22×D7911yescharacteristic
1056C23×C4C22×D7911yescharacteristic
1057C23×C4C22×D7911yescharacteristic
1058C23×C4C22×D7911yescharacteristic
1059C23×C4C22×D7911yescharacteristic
1060C23×C4C22×D7911yescharacteristic
1061C23×C4C22×D7911yescharacteristic
1062#123—798no—
1063#123—798no—
1064C22⋊Q8—798no—
1065C22⋊Q8—798no—
1066#121—798no—
1067#121—798no—
1068#120—798no—
1069#120C4×D7918yescomplemented
1070C4×D4—24no—
1071C4×D4—42no—
1072C4×D4—42no—
1073C4×D4—3162no—
1074C4×D4—3162no—
1075C4×D4—3162no—
1076C4×D4—3162no—
1077C4×D4—3162no—
1078C4×D4—3162no—
1079C4×D4—798no—
1080C4×D4—798no—
1081C4×D4—798no—
1082C4×D4—798no—
1083C4×D4—1584no—
1084C4×D4—1584no—
1085C4×D4—1584no—
1086#117—3162no—
1087#117—3162no—
1088#117—798no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4—791no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4C22×D7911yescharacteristic
1109C2×C4⋊C4C22×D7911yescharacteristic
1110C2×C4⋊C4C22×D7911yescharacteristic
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⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
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×C42—791no—
1146C2×C42—791no—
1147C2×C42—791no—
1148C2×C42—791no—
1149C2×C42—791no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42C22×D7911yescharacteristic
1161C2×C42C22×D7911yescharacteristic
1162C2×C42C22×D7911yescharacteristic
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—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95C22×D7911yescharacteristic
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—791no—
1218C24C2×C4×D7914yes—
1219C24C23×D7911yescharacteristic
1220C24C23×D7911yescharacteristic
1221C24C23×D7911yescharacteristic
1222C24C23×D7911yescharacteristic
1223#41—31616no—
1224C2×Q8—3161no—
1225C2×Q8—3161no—
1226C2×Q8—794no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—794no—
1236C2×D4—794no—
1237C2×D4—794no—
1238C2×D4—794no—
1239C2×D4—1582no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C2×D4C2×C4×D7914yes—
1246C2×D4C2×C4×D7914yes—
1247C2×D4C2×C4×D7914yes—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—31616no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—31616no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—794no—
1298C22×C4—794no—
1299C22×C4—794no—
1300C22×C4—794no—
1301C22×C4—794no—
1302C22×C4—794no—
1303C22×C4—794no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—794no—
1314C22×C4—794no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4—1582no—
1328C22×C4—1582no—
1329C22×C4—1582no—
1330C22×C4—1582no—
1331C22×C4—1582no—
1332C22×C4—1582no—
1333C22×C4—1582no—
1334C22×C4—1582no—
1335C22×C4—1582no—
1336C22×C4—1582no—
1337C22×C4#1192962314yescomplemented
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7911yescharacteristic
1341C22×C4C23×D7911yescharacteristic
1342C22×C4C23×D7911yescharacteristic
1343C22×C4C23×D7911yescharacteristic
1344C22×C4C23×D7911yescharacteristic
1345C22×C4C23×D7911yescharacteristic
1346C22×C4C23×D7911yescharacteristic
1347C22×C4C23×D7911yescharacteristic
1348C22×C4C23×D7911yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—3161no—
1353C4⋊C4—3161no—
1354C4⋊C4—3161no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—3161no—
1360C4⋊C4—3161no—
1361C4⋊C4—3161no—
1362C4⋊C4—794no—
1363C4⋊C4—794no—
1364C4⋊C4—794no—
1365C4⋊C4—794no—
1366C4⋊C4—794no—
1367C4⋊C4—794no—
1368C4⋊C4—1582no—
1369C4⋊C4—1582no—
1370C4⋊C4—1582no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—794no—
1387C22⋊C4—794no—
1388C22⋊C4—794no—
1389C22⋊C4—794no—
1390C22⋊C4—794no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4C2×C4×D7914yes—
1403C22⋊C4C2×C4×D7914yes—
1404C22⋊C4C2×C4×D7914yes—
1405C42—22no—
1406C42—41no—
1407C42—41no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
1412C42—3161no—
1413C42—3161no—
1414C42—3161no—
1415C42—3161no—
1416C42—3161no—
1417C42—3161no—
1418C42—794no—
1419C42—794no—
1420C42—1582no—
1421C42—1582no—
1422C42—1582no—
1423C23—28no—
1424C23—28no—
1425C23—28no—
1426C23—28no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—28no—
1436C23—28no—
1437C23—28no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—792no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23C22×C4×D7912yes—
1456C23C22×C4×D7912yes—
1457C23C22×C4×D7912yes—
1458C23C22×C4×D7912yes—
1459C23#41×D7912yes—
1460C23C2×#1192962312yes—
1461C23#1457920612yes—
1462C23#1457920612yes—
1463C23#1457920712yes—
1464C23#1457920812yes—
1465C23C24×D7911yescharacteristic
1466Q8—3164no—
1467D4—28no—
1468D4—28no—
1469D4—28no—
1470D4—3164no—
1471D4—1588no—
1472D4—1588no—
1473D4—1588no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—3164no—
1510C2×C4—3164no—
1511C2×C4—3164no—
1512C2×C4—3164no—
1513C2×C4—3164no—
1514C2×C4—3164no—
1515C2×C4—3164no—
1516C2×C4—3164no—
1517C2×C4—3164no—
1518C2×C4—3164no—
1519C2×C4—3164no—
1520C2×C4—3164no—
1521C2×C4—792no—
1522C2×C4—792no—
1523C2×C4—792no—
1524C2×C4—792no—
1525C2×C4—792no—
1526C2×C4—792no—
1527C2×C4—792no—
1528C2×C4—792no—
1529C2×C4—792no—
1530C2×C4—6322no—
1531C2×C4—6322no—
1532C2×C4—6322no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1588no—
1568C2×C4—1588no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4C22×C4×D7912yes—
1572C2×C4C22×C4×D7912yes—
1573C2×C4C22×C4×D7912yes—
1574C2×C4C2×#1192962312yes—
1575C2×C4C2×#1192962312yes—
1576C22—232no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—1582no—
1607C22—1582no—
1608C22—1582no—
1609C22C4×#1192962314yes—
1610C22#1909903514yes—
1611C22#1909904214yes—
1612C22C23×C4×D7911yescharacteristic
1613C22C2×#41×D7911yescharacteristic
1614C22C22×#1192962311yescharacteristic
1615C22C2×#1457920611yescharacteristic
1616C22C2×#1457920611yescharacteristic
1617C22C2×#1457920711yescharacteristic
1618C22C2×#1457920811yescharacteristic
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—3161no—
1631C4—3161no—
1632C4—3161no—
1633C4—3161no—
1634C4—3161no—
1635C4—3161no—
1636C4—1582no—
1637C4—1582no—
1638C4—1582no—
1639C4—1582no—
1640C4—1582no—
1641C4—1582no—
1642C4—1582no—
1643C4—1582no—
1644C4—1582no—
1645C2—24no—
1646C2—24no—
1647C2—24no—
1648C2—42no—
1649C2—3162no—
1650C2C2×C4×#1192962311yescharacteristic
1651C2C2×#1909903511yescharacteristic
1652C2C2×#1909904211yescharacteristic
1653C2#2377708311yescharacteristic
1654C2#2377708711yescharacteristic
1655C2#2377710111yescharacteristic
1656C2#2377710611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC4×#120×C79C2
socle, cosocleC23×C79C25
prime radicalC2×#19099069C2
hypercenterC4×#120D79
hypocenterC79#34218
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. #23766481C2semidirect
3. #23766478C2semidirect
4. #23766448C2semidirect
5. #23766445C2semidirect
6. #23766398C2semidirect
7. #23766394C2semidirect
8. #23766390C2semidirect
9. #23766386C2semidirect
10. #23766338C2semidirect
11. #23766334C2semidirect
12. #23766306C2semidirect
13. #23766305C2semidirect
14. #23766258C2semidirect
15. #23766254C2semidirect
16. #23766226C2semidirect
17. #23766225C2semidirect
18. #23766131C2semidirect
19. #23766128C2semidirect
20. #23766101C2semidirect
21. #23766098C2semidirect
22. #23766028C2semidirect
23. #23766026C2semidirect
24. #120×Dic79C2semidirect
25. C4×#14579130C2semidirect
26. #23765899C2semidirect
27. #23765778C2semidirect
28. #23765761C2semidirect
29. #23765759C2semidirect
30. C22×C79⋊#95C2semidirect
31. C4×#120×C79C2semidirect
35. #19099069C4semidirect
59. #19098469C22semidirect
60. #19098468C22semidirect
61. #19098467C22semidirect
62. #19098467C22semidirect
63. #19098461C22semidirect
64. #19098460C22semidirect
65. #19098459C22semidirect
66. #19098458C22semidirect
67. #19098457C22semidirect
68. #19098457C22semidirect
69. #19098455C22semidirect
70. #19098454C22semidirect
71. #19098453C22semidirect
72. #19098452C22semidirect
73. #19098451C22semidirect
74. #19098451C22semidirect
75. #19098450C22semidirect
76. #19098450C22semidirect
77. #19098450C22semidirect
78. #19098448C22semidirect
79. #19098448C22semidirect
80. #19098447C22semidirect
81. #19098447C22semidirect
82. #19098447C22semidirect
83. #19098446C22semidirect
84. #19098446C22semidirect
85. #19098445C22semidirect
86. #19098445C22semidirect
87. #19098445C22semidirect
88. #19098444C22semidirect
89. #19098444C22semidirect
90. #19098444C22semidirect
97. #19098442C22semidirect
101. #19098440C22semidirect
102. #19098439C22semidirect
103. #19098439C22semidirect
107. #19098437C22semidirect
111. #19098436C22semidirect
115. #19098435C22semidirect
116. #19098434C22semidirect
117. #19098430C22semidirect
118. #19098430C22semidirect
119. #19098428C22semidirect
120. #19098427C22semidirect
121. #19098425C22semidirect
124. #19098424C22semidirect
129. #19098421C22semidirect
130. #19098420C22semidirect
132. C4⋊C4×Dic79C22semidirect
133. C4⋊C4×Dic79C22semidirect
134. C4×Dic79⋊C4C22semidirect
135. C4×Dic79⋊C4C22semidirect
136. C4×C4⋊Dic79C22semidirect
137. #19098414C22semidirect
148. C22⋊C4×Dic79C22semidirect
149. C22⋊C4×Dic79C22semidirect
150. C4×(C2×D79)⋊C4C22semidirect
151. C4×(C2×D79)⋊C4C22semidirect
155. C4×C22⋊Dic79C22semidirect
156. #19098410C22semidirect
157. #19098409C22semidirect
158. #19098408C22semidirect
171. C2×C79⋊#95C22semidirect
172. #95×D79C22semidirect
190. C2×#11929623C2×C4semidirect
201. C23×Dic79C2×C4semidirect
219. #14579145C2×C4semidirect
220. #14579142C2×C4semidirect
221. #14579138C2×C4semidirect
222. #14579138C2×C4semidirect
223. #14579133C2×C4semidirect
224. #14579133C2×C4semidirect
225. #14579130C2×C4semidirect
229. D4×Dic79C2×C4semidirect
230. D4×Dic79C2×C4semidirect
237. (C22⋊D79)⋊C4C2×C4semidirect
238. (C22⋊D79)⋊C4C2×C4semidirect
241. #14579117C2×C4semidirect
354. #120×C79C2×C4semidirect
386. C2×Dic158C22×C4semidirect
398. C2×C22⋊D79C22×C4semidirect
441. C22×Dic79C22×C4semidirect
442. C22×Dic79#41semidirect
466. C2×C4×D79C22×C4semidirect
470. C4⋊Dic79C22×C4semidirect
471. C4⋊Dic79C22×C4semidirect
482. Dic79⋊C4C22×C4semidirect
483. Dic79⋊C4C22×C4semidirect
484. Dic79⋊C4C22×C4semidirect
485. Dic79⋊C4C22×C4semidirect
498. C22⋊Dic79C22×C4semidirect
499. C22⋊Dic79C22×C4semidirect
506. (C2×D79)⋊C4C22×C4semidirect
507. (C2×D79)⋊C4C22×C4semidirect
521. C4×Dic79C22×C4semidirect
522. C4×Dic79C22×C4semidirect
564. C22×C4×C79#41semidirect
855. C4×#120D79semidirect
860. C79#34218semidirect
1069. #120C4×D79semidirect
1337. C22×C4#11929623semidirect

Maximal subgroups

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

subgroupindex
C2×#190990692
#237664812
#237664782
#237664482
#237664452
#237663982
#237663942
#237663902
#237663862
#237663382
#237663342
#237663062
#237663052
#237662582
#237662542
#237662262
#237662252
#237661312
#237661282
#237661012
#237660982
#237660282
#237660262
#120×Dic792
C4×#145791302
#237658992
#237657782
#237657612
#237657592
C22×C79⋊#952
C4×#120×C792
#3421879