Finite Group Databasebeta

← #34453618

Subgroups — #34453618

Order 20224.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099206C211yesmaximal, characteristic
2#23766561C211yesmaximal, characteristic, complemented
3#23766552C211yesmaximal, characteristic, complemented
4#23766542C211yesmaximal, characteristic, complemented
5#23766540C211yesmaximal, characteristic, complemented
6#23766444C211yesmaximal, characteristic, complemented
7#23766433C211yesmaximal, characteristic, complemented
8#23766393C211yesmaximal, characteristic, complemented
9#23766382C211yesmaximal, characteristic, complemented
10#23766341C211yesmaximal, characteristic, complemented
11#23766341C211yesmaximal, characteristic, complemented
12#23766243C211yesmaximal, characteristic, complemented
13#23766243C211yesmaximal, characteristic, complemented
14#23766229C211yesmaximal, characteristic, complemented
15#23766218C211yesmaximal, characteristic, complemented
16#23766215C211yesmaximal, characteristic, complemented
17#23766192C211yesmaximal, characteristic, complemented
18#23766160C211yesmaximal, characteristic, complemented
19#23766155C211yesmaximal, characteristic, complemented
20#23766102C211yesmaximal, characteristic, complemented
21#23766070C211yesmaximal, characteristic, complemented
22#23766060C211yesmaximal, characteristic, complemented
23#23766053C211yesmaximal, characteristic, complemented
24#23766044C211yesmaximal, characteristic, complemented
25#23765994C211yesmaximal, characteristic, complemented
26#23765991C211yesmaximal, characteristic, complemented
27#23765974C211yesmaximal, characteristic, complemented
28C4×#14579134C211yesmaximal, characteristic, complemented
29#23765844C211yesmaximal, characteristic, complemented
30#388×D79C211yesmaximal, characteristic, complemented
31C79×#2372C211yesmaximal, characteristic, complemented
32C22×#11929625C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099206C4116yescomplemented
35C2×#14579143C2211yescharacteristic
36C2×#14579143C2211yescharacteristic
37C2×#14579137C2211yescharacteristic
38C2×#14579134C2211yescharacteristic
39C2×#14579134C2211yescharacteristic
40C2×#14579132C2211yescharacteristic
41C2×#14579131C2211yescharacteristic
42C2×#14579131C2211yescharacteristic
43C2×C4×D316C2211yescharacteristic
44C2×C4×D316C2211yescharacteristic
45C2×C4×D316C2211yescharacteristic, complemented
46C2×#14579123C2211yescharacteristic, complemented
47C2×C4×C22⋊D79C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic, complemented
49C2×(C22⋊D79)⋊C4C2211yescharacteristic
50C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
51C2×#14579118C2211yescharacteristic, complemented
52C2×#14579118C2211yescharacteristic, complemented
53C2×C4⋊C4×D79C2211yescharacteristic, complemented
54C22×(C2×D79)⋊C4C2211yescharacteristic
55C22×(C2×D79)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D79C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59C2×C22⋊C4×D79C2211yescharacteristic
60C2×C42×D79C2211yescharacteristic, complemented
61#19098470C2211yescharacteristic, complemented
62#19098470C2211yescharacteristic, complemented
63#19098465C2211yescharacteristic
64#19098465C2211yescharacteristic
65#19098465C2211yescharacteristic, complemented
66#19098464C2211yescharacteristic, complemented
67#19098463C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic, complemented
70#19098463C2211yescharacteristic, complemented
71#19098461C2211yescharacteristic, complemented
72#19098461C2211yescharacteristic, complemented
73#19098460C2211yescharacteristic, complemented
74#19098458C2211yescharacteristic, complemented
75#19098457C2211yescharacteristic, complemented
76#19098457C2211yescharacteristic, complemented
77#19098456C2211yescharacteristic, complemented
78#19098456C2211yescharacteristic, complemented
79#19098456C2211yescharacteristic, complemented
80#19098456C2211yescharacteristic, complemented
81#19098455C2211yescharacteristic
82#19098455C2211yescharacteristic
83#19098455C2211yescharacteristic, complemented
84#19098455C2211yescharacteristic, complemented
85#19098454C2211yescharacteristic
86#19098454C2211yescharacteristic
87#19098454C2211yescharacteristic
88#19098454C2211yescharacteristic
89#19098454C2211yescharacteristic, complemented
90#19098454C2211yescharacteristic, complemented
91#19098453C2211yescharacteristic
92#19098453C2211yescharacteristic
93#19098452C2211yescharacteristic
94#19098452C2211yescharacteristic
95#19098452C2211yescharacteristic
96#19098452C2211yescharacteristic
97#19098452C2211yescharacteristic, complemented
98#19098452C2211yescharacteristic, complemented
99#19098451C2211yescharacteristic, complemented
100#19098451C2211yescharacteristic, complemented
101#19098450C2211yescharacteristic, complemented
102#19098448C2211yescharacteristic, complemented
103#19098448C2211yescharacteristic, complemented
104#19098447C2211yescharacteristic, complemented
105#19098446C2211yescharacteristic, complemented
106#19098446C2211yescharacteristic, complemented
107#19098446C2211yescharacteristic, complemented
108#19098446C2211yescharacteristic, complemented
109#19098445C2211yescharacteristic, complemented
110#19098444C2211yescharacteristic, complemented
111#19098443C2211yescharacteristic
112#19098443C2211yescharacteristic
113#19098442C2211yescharacteristic
114#19098442C2211yescharacteristic, complemented
115#19098441C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098441C2211yescharacteristic
119#19098441C2211yescharacteristic
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic, complemented
122#19098441C2211yescharacteristic, complemented
123#19098441C2211yescharacteristic, complemented
124#19098441C2211yescharacteristic, complemented
125#19098440C2211yescharacteristic
126#19098440C2211yescharacteristic, complemented
127#19098439C2211yescharacteristic
128#19098439C2211yescharacteristic
129#19098439C2211yescharacteristic, complemented
130#19098439C2211yescharacteristic, complemented
131#19098438C2211yescharacteristic, complemented
132#19098438C2211yescharacteristic, complemented
133#19098437C2211yescharacteristic, complemented
134#19098437C2211yescharacteristic, complemented
135#19098436C2211yescharacteristic, complemented
136#19098436C2211yescharacteristic, complemented
137#19098435C2211yescharacteristic, complemented
138#19098435C2211yescharacteristic, complemented
139#19098431C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic
141#19098425C2211yescharacteristic
142#19098425C2211yescharacteristic, complemented
143#19098425C2211yescharacteristic, complemented
144#19098425C2211yescharacteristic, complemented
145#19098422C2211yescharacteristic
146#19098422C2211yescharacteristic, complemented
147#19098422C2211yescharacteristic, complemented
148#19098422C2211yescharacteristic, complemented
149#19098422C2211yescharacteristic, complemented
150#19098422C2211yescharacteristic, complemented
151#19098420C2211yescharacteristic, complemented
152#19098418C2211yescharacteristic
153#19098418C2211yescharacteristic
154#19098418C2211yescharacteristic
155#19098418C2211yescharacteristic
156C4×Dic79⋊C4C2211yescharacteristic, complemented
157C4×C4⋊Dic79C2211yescharacteristic, complemented
158#19098414C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic, complemented
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic, complemented
170#95×D79C2211yescharacteristic, complemented
171#95×D79C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C2×#124×C79C2211yescharacteristic
174#391×C79C2211yescharacteristic, complemented
175#391×C79C2211yescharacteristic, complemented
176#388×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182C4×C22⋊C4×C79C2211yescharacteristic, complemented
183C4×C22⋊C4×C79C2211yescharacteristic, complemented
184C4×C22⋊C4×C79C2211yescharacteristic, complemented
185C4×C22⋊C4×C79C2211yescharacteristic, complemented
186#376×C79C2211yescharacteristic, complemented
187#376×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C24×D79C2311yescharacteristic
190C2×#11929625—42no—
191C2×#11929625—42no—
192C2×#11929625C2×C418yescomplemented
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C2×D4×D79—42no—
202C2×D4×D79—42no—
203C2×D4×D79C2×C418yescomplemented
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218#14579143C2×C418yescomplemented
219#14579143C2×C418yescomplemented
220#14579137C2×C418yescomplemented
221#14579134C2×C418yescomplemented
222#14579134C2×C418yescomplemented
223#14579132C2×C418yescomplemented
224#14579131C2×C418yescomplemented
225#14579131C2×C418yescomplemented
226C4×D316—42no—
227C4×D316C2×C418yescomplemented
228C4×D316C2×C418yescomplemented
229#14579123—42no—
230C4×C22⋊D79—42no—
231C4×C22⋊D79—42no—
232(C22⋊D79)⋊C4—42no—
233(C22⋊D79)⋊C4—42no—
234#14579118—42no—
235#14579118—42no—
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C4⋊C4×D79—42no—
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×(C2×D79)⋊C4—42no—
264C2×(C2×D79)⋊C4—42no—
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C22⋊C4×D79—42no—
298C22⋊C4×D79—42no—
299C22⋊C4×D79C2×C418yescomplemented
300C22⋊C4×D79C2×C418yescomplemented
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C42×D79—42no—
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
340C22×Q8×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344#124×C79C2×C418yescomplemented
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C42×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359C2×C42×C79C2311yescharacteristic
360C2×C42×C79C2311yescharacteristic
361C2×C42×C79C2311yescharacteristic
362C2×C42×C79C2311yescharacteristic
363C2×C42×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79—41no—
387C23×D79—41no—
388C23×D79C22×C414yes—
389C23×D79C22×C414yes—
390C23×D79C2411yescharacteristic
391C23×D79C2411yescharacteristic
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394#11929625—416no—
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316C22×C414yes—
404C2×D316C22×C414yes—
405C2×D316C22×C414yes—
406C2×D316C22×C414yes—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79C22×C414yes—
416C2×C22⋊D79C22×C414yes—
417C2×C22⋊D79C22×C414yes—
418C2×C22⋊D79C22×C414yes—
419D4×D79—416no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
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×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79C22×C414yes—
469C2×C4×D79C22×C414yes—
470C2×C4×D79C22×C414yes—
471C2×C4×D79C22×C414yes—
472C2×C4×D79C22×C414yes—
473C2×C4×D79C22×C414yes—
474C4⋊Dic79—41no—
475C4⋊Dic79—41no—
476C4⋊Dic79—41no—
477C4⋊Dic79—41no—
478C4⋊Dic79C22×C414yes—
479C4⋊Dic79C22×C414yes—
480Dic79⋊C4—22no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484Dic79⋊C4—41no—
485Dic79⋊C4—41no—
486Dic79⋊C4—41no—
487Dic79⋊C4—41no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4C22×C414yes—
491Dic79⋊C4C22×C414yes—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
497C22⋊Dic79—41no—
498C22⋊Dic79C22×C414yes—
499C22⋊Dic79C22×C414yes—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4C22×C414yes—
527(C2×D79)⋊C4C22×C414yes—
528(C2×D79)⋊C4C22×C414yes—
529(C2×D79)⋊C4C22×C414yes—
530(C2×D79)⋊C4C22×C414yes—
531(C2×D79)⋊C4C22×C414yes—
532C4×Dic79—22no—
533C4×Dic79—41no—
534C4×Dic79—41no—
535C4×Dic79—41no—
536C4×Dic79—41no—
537C4×Dic79—41no—
538C4×Dic79—41no—
539C4×Dic79—41no—
540C4×Dic79—41no—
541C4×Dic79—41no—
542C24×C79C2411yescharacteristic
543C24×C79C2411yescharacteristic
544C2×Q8×C79—41no—
545C2×Q8×C79—41no—
546C2×Q8×C79C22×C414yes—
547C2×D4×C79—41no—
548C2×D4×C79—41no—
549C2×D4×C79C22×C414yes—
550C22×C4×C79—22no—
551C22×C4×C79—41no—
552C22×C4×C79—41no—
553C22×C4×C79—41no—
554C22×C4×C79—41no—
555C22×C4×C79—41no—
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C4⋊C4×C79—41no—
570C4⋊C4×C79—41no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79C22×C414yes—
578C22⋊C4×C79C22×C414yes—
579C22⋊C4×C79C22×C414yes—
580C22⋊C4×C79C22×C414yes—
581C42×C79—22no—
582C42×C79—41no—
583C42×C79—41no—
584C42×C79—41no—
585C42×C79—41no—
586C42×C79—41no—
587C42×C79C22×C414yes—
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×C79C23×C412yes—
601C23×C79C23×C412yes—
602C23×C79C2511yescharacteristic
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—28no—
626C22×D79—44no—
627C22×D79—44no—
628C22×D79—44no—
629C22×D79—44no—
630C22×D79—44no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79—82no—
638C22×D79—82no—
639C22×D79C23×C412yes—
640C22×D79C23×C412yes—
641C22×D79C23×C412yes—
642C22×D79C23×C412yes—
643C22×D79H(5,𝔽2)12yes—
644C22×D79H(5,𝔽2)12yes—
645Q8×C79—44no—
646D4×C79—44no—
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—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—82no—
681C2×C4×C79—82no—
682C2×C4×C79C23×C412yes—
683C2×C4×C79C23×C412yes—
684C2×C4×C79C23×C412yes—
685C2×C4×C79C23×C412yes—
686C2×C4×C79C23×C412yes—
687C2×C4×C79H(5,𝔽2)12yes—
688C22⋊D79—28no—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—44no—
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—21no—
723C2×Dic79—21no—
724C2×Dic79—82no—
725C2×Dic79—82no—
726C2×Dic79C23×C412yes—
727C2×Dic79C23×C412yes—
728C2×Dic79C23×C412yes—
729C2×Dic79C23×C412yes—
730D316—28no—
731D316—28no—
732D316—44no—
733D316—44no—
734C4×D79—28no—
735C4×D79—44no—
736C4×D79—44no—
737C4×D79—44no—
738C4×D79—44no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—82no—
743C4×D79—82no—
744C4×D79—82no—
745C4×D79—82no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
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×C79C24×C411yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79C2×H(5,𝔽2)11yescharacteristic
764C22×C79#58511yescharacteristic
765C22×C79#58511yescharacteristic
766C22×C79#58511yescharacteristic
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—22no—
770C2×D79—22no—
771C2×D79—22no—
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—22no—
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—22no—
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—88no—
795C2×D79—88no—
796C2×D79#51814yes—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—22no—
802C4×C79—22no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810Dic79—22no—
811Dic79—22no—
812Dic79—22no—
813Dic79—22no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822#34492—791nomaximal, Sylow
823C2×C79—42no—
824C2×C79—42no—
825C2×C79C2×#51811yescharacteristic
826C2×C79#342811yescharacteristic
827C2×C79C4×H(5,𝔽2)11yescharacteristic
828C2×C79#353411yescharacteristic
829C2×C79#354211yescharacteristic
830C2×C79#354511yescharacteristic
831C2×C79#356011yescharacteristic
832D79—24no—
833D79—42no—
834D79—42no—
835D79—42no—
836C2×#546—791no—
837#2378—791no—
838#2377—791no—
839#2376—791no—
840#2375—791no—
841#2372D7911yescharacteristic, complemented
842#2364—791no—
843#2363—791no—
844#2359—791no—
845#2358—791no—
846#2353—791no—
847#2353—791no—
848#2342—791no—
849#2342—791no—
850#2339—791no—
851D4×C22⋊C4—791no—
852#2337—791no—
853#2335—791no—
854#2333—791no—
855#2332—791no—
856#2325—791no—
857#2322—791no—
858#2321—791no—
859#2321—791no—
860#2319—791no—
861#2312—791no—
862#2311—791no—
863#2308—791no—
864C4×#121—791no—
865#2290—791no—
866C2×#388—791no—
867C79#3449211yescharacteristic, complemented, Sylow
868C22×#41—791no—
869C23×D4—791no—
870#546—7916no—
871C2×#124C2×D7911yescharacteristic
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#120—791no—
879C2×#120—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×D4—791no—
888C2×#117—791no—
889C2×#117—791no—
890C22×C4⋊C4—791no—
891C22×C22⋊C4—791no—
892C22×C22⋊C4—791no—
893C22×C22⋊C4—791no—
894C22×C22⋊C4—791no—
895C22×C22⋊C4—791no—
896C22×C22⋊C4—791no—
897C22×C42—791no—
898#391—791no—
899#391—791no—
900#391C2×D7911yescharacteristic, complemented
901#391C2×D7911yescharacteristic, complemented
902#390—791no—
903#390—791no—
904#390—791no—
905#390—791no—
906#390—791no—
907#390—791no—
908#390—791no—
909#390—791no—
910#389—791no—
911#389—791no—
912#389—791no—
913#389—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388—791no—
922#388—791no—
923#388—791no—
924#388—791no—
925#388—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388C2×D7911yescharacteristic, complemented
941#388C2×D7911yescharacteristic, complemented
942#388C2×D7911yescharacteristic, complemented
943#388C2×D7911yescharacteristic, complemented
944#387—791no—
945#387—791no—
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—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#386C2×D7911yescharacteristic
975#386C2×D7911yescharacteristic
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#383—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#381—791no—
989#381—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#379—791no—
998#379—791no—
999#379—791no—
1000#379—791no—
1001C4×C4⋊C4—791no—
1002C4×C4⋊C4—791no—
1003C4×C4⋊C4—791no—
1004C4×C22⋊C4—791no—
1005C4×C22⋊C4—791no—
1006C4×C22⋊C4—791no—
1007C4×C22⋊C4—791no—
1008C4×C22⋊C4—791no—
1009C4×C22⋊C4—791no—
1010C4×C22⋊C4—791no—
1011C4×C22⋊C4—791no—
1012C4×C22⋊C4—791no—
1013C4×C22⋊C4—791no—
1014C4×C22⋊C4—791no—
1015C4×C22⋊C4C2×D7911yescharacteristic, complemented
1016C4×C22⋊C4C2×D7911yescharacteristic, complemented
1017C4×C22⋊C4C2×D7911yescharacteristic, complemented
1018C4×C22⋊C4C2×D7911yescharacteristic, complemented
1019#376C2×D7911yescharacteristic, complemented
1020#376C2×D7911yescharacteristic, complemented
1021C2×#95—791no—
1022C2×#95—791no—
1023C2×#95—791no—
1024C25—791no—
1025C25—791no—
1026C2×#41—3162no—
1027C2×#41—3162no—
1028C2×#41—798no—
1029C22×Q8C22×D7911yescharacteristic
1030C22×D4—3162no—
1031C22×D4—3162no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—798no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4C22×D7911yescharacteristic
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—791no—
1055C23×C4—791no—
1056C23×C4C22×D7911yescharacteristic
1057C23×C4C22×D7911yescharacteristic
1058#124C4×D7918yescomplemented
1059#123—798no—
1060#123—798no—
1061C22⋊Q8—798no—
1062#121—798no—
1063#121—798no—
1064#121—798no—
1065#120—798no—
1066#120—798no—
1067C4×D4—3162no—
1068C4×D4—3162no—
1069C4×D4—3162no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C4×D4—798no—
1074C4×D4—798no—
1075#117—3162no—
1076#117—3162no—
1077C2×C4⋊C4—3162no—
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⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—3162no—
1099C2×C22⋊C4—3162no—
1100C2×C22⋊C4—3162no—
1101C2×C22⋊C4—3162no—
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⋊C4—798no—
1137C2×C22⋊C4—798no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C42—3162no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42C22×D7911yescharacteristic
1166C2×C42C22×D7911yescharacteristic
1167C2×C42C22×D7911yescharacteristic
1168C2×C42C22×D7911yescharacteristic
1169C2×C42C22×D7911yescharacteristic
1170C2×C42C22×D7911yescharacteristic
1171C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202#95C22×D7911yescharacteristic
1203#95C22×D7911yescharacteristic
1204#95C22×D7911yescharacteristic
1205#95C22×D7911yescharacteristic
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212C24—3161no—
1213C24—3161no—
1214C24—3161no—
1215C24—3161no—
1216C24—3161no—
1217C24—3161no—
1218C24—3161no—
1219C24—3161no—
1220C24—3161no—
1221C24—3161no—
1222C24—794no—
1223C24—794no—
1224C24—791no—
1225C24—791no—
1226C24—791no—
1227C24—791no—
1228C24—1582no—
1229C24—1582no—
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232#41—31616no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D7914yes—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—31616no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—794no—
1250C2×D4—794no—
1251C2×D4—794no—
1252C2×D4—794no—
1253C2×D4—794no—
1254C2×D4—794no—
1255C2×D4—794no—
1256C2×D4—794no—
1257C2×D4—1582no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4—1582no—
1262C2×D4—1582no—
1263C2×D4C2×C4×D7914yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
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—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—794no—
1299C22×C4—794no—
1300C22×C4—794no—
1301C22×C4—794no—
1302C22×C4—794no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—794no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4C23×D7911yescharacteristic
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7911yescharacteristic
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—3161no—
1340C4⋊C4—3161no—
1341C4⋊C4—3161no—
1342C4⋊C4—3161no—
1343C4⋊C4—3161no—
1344C4⋊C4—3161no—
1345C4⋊C4—3161no—
1346C4⋊C4—3161no—
1347C4⋊C4—3161no—
1348C4⋊C4—3161no—
1349C4⋊C4—3161no—
1350C4⋊C4—3161no—
1351C4⋊C4—3161no—
1352C4⋊C4—794no—
1353C4⋊C4—794no—
1354C4⋊C4—794no—
1355C4⋊C4—794no—
1356C4⋊C4—1582no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
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—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—794no—
1390C22⋊C4—794no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4—794no—
1394C22⋊C4—794no—
1395C22⋊C4—794no—
1396C22⋊C4—794no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4C2×C4×D7914yes—
1404C22⋊C4C2×C4×D7914yes—
1405C22⋊C4C2×C4×D7914yes—
1406C22⋊C4C2×C4×D7914yes—
1407C42—22no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—3161no—
1414C42—3161no—
1415C42—3161no—
1416C42—3161no—
1417C42—3161no—
1418C42—3161no—
1419C42—3161no—
1420C42—3161no—
1421C42—3161no—
1422C42—1582no—
1423C42C2×C4×D7914yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—3164no—
1437C23—3164no—
1438C23—3164no—
1439C23—3164no—
1440C23—3164no—
1441C23—792no—
1442C23—792no—
1443C23—792no—
1444C23—792no—
1445C23—792no—
1446C23—792no—
1447C23—6322no—
1448C23—6322no—
1449C23—6322no—
1450C23—6322no—
1451C23—6322no—
1452C23—6322no—
1453C23—6322no—
1454C23—6322no—
1455C23—1588no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23C22×C4×D7912yes—
1479C23C22×C4×D7912yes—
1480C23C24×D7911yescharacteristic
1481Q8—44no—
1482D4—44no—
1483D4—3164no—
1484D4—3164no—
1485D4—3164no—
1486D4—3164no—
1487D4—3164no—
1488D4—1588no—
1489D4—1588no—
1490D4—1588no—
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—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—3164no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—3164no—
1530C2×C4—3164no—
1531C2×C4—3164no—
1532C2×C4—3164no—
1533C2×C4—792no—
1534C2×C4—792no—
1535C2×C4—792no—
1536C2×C4—792no—
1537C2×C4—6322no—
1538C2×C4—6322no—
1539C2×C4—6322no—
1540C2×C4—6322no—
1541C2×C4—6322no—
1542C2×C4—6322no—
1543C2×C4—1588no—
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—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4C22×C4×D7912yes—
1577C2×C4C22×C4×D7912yes—
1578C2×C4C22×C4×D7912yes—
1579C2×C4C22×C4×D7912yes—
1580C2×C4C22×C4×D7912yes—
1581C2×C4#1457920712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—3161no—
1597C22—3161no—
1598C22—3161no—
1599C22—3161no—
1600C22—3161no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—794no—
1609C22—6328no—
1610C22—6328no—
1611C22—1582no—
1612C22—1582no—
1613C22—1582no—
1614C22—1582no—
1615C22—1582no—
1616C22—1582no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22—1582no—
1623C22—1582no—
1624C22—1582no—
1625C22—1582no—
1626C22C23×C4×D7911yescharacteristic
1627C22H(5,𝔽2)×D7911yescharacteristic
1628C22H(5,𝔽2)×D7911yescharacteristic
1629C22C2×#1457920711yescharacteristic
1630C22#1909939911yescharacteristic
1631C22#1909939911yescharacteristic
1632C22#1909939911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—1582no—
1655C4—1582no—
1656C4—1582no—
1657C4—1582no—
1658C2—42no—
1659C2—42no—
1660C2—3162no—
1661C2—3162no—
1662C2—3162no—
1663C2—1584no—
1664C2#518×D7911yescharacteristic
1665C2#2377659911yescharacteristic
1666C2C4×#1457920711yescharacteristic
1667C2#2377759311yescharacteristic
1668C2#2377772311yescharacteristic
1669C2#2377774611yescharacteristic
1670C2#2377794711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2372C2
socle, cosocleC23×C79C25
prime radicalC2×#19099206C2
hypercenter#2372D79
hypocenterC79#34492
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2372

Complements

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

NH ≅ G/Ntype
2. #23766561C2semidirect
3. #23766552C2semidirect
4. #23766542C2semidirect
5. #23766540C2semidirect
6. #23766444C2semidirect
7. #23766433C2semidirect
8. #23766393C2semidirect
9. #23766382C2semidirect
10. #23766341C2semidirect
11. #23766341C2semidirect
12. #23766243C2semidirect
13. #23766243C2semidirect
14. #23766229C2semidirect
15. #23766218C2semidirect
16. #23766215C2semidirect
17. #23766192C2semidirect
18. #23766160C2semidirect
19. #23766155C2semidirect
20. #23766102C2semidirect
21. #23766070C2semidirect
22. #23766060C2semidirect
23. #23766053C2semidirect
24. #23766044C2semidirect
25. #23765994C2semidirect
26. #23765991C2semidirect
27. #23765974C2semidirect
28. C4×#14579134C2semidirect
29. #23765844C2semidirect
30. #388×D79C2semidirect
31. C79×#2372C2semidirect
34. #19099206C4semidirect
45. C2×C4×D316C22semidirect
46. C2×#14579123C22semidirect
48. C2×C4×C22⋊D79C22semidirect
50. C2×(C22⋊D79)⋊C4C22semidirect
51. C2×#14579118C22semidirect
52. C2×#14579118C22semidirect
53. C2×C4⋊C4×D79C22semidirect
60. C2×C42×D79C22semidirect
61. #19098470C22semidirect
62. #19098470C22semidirect
65. #19098465C22semidirect
66. #19098464C22semidirect
69. #19098463C22semidirect
70. #19098463C22semidirect
71. #19098461C22semidirect
72. #19098461C22semidirect
73. #19098460C22semidirect
74. #19098458C22semidirect
75. #19098457C22semidirect
76. #19098457C22semidirect
77. #19098456C22semidirect
78. #19098456C22semidirect
79. #19098456C22semidirect
80. #19098456C22semidirect
83. #19098455C22semidirect
84. #19098455C22semidirect
89. #19098454C22semidirect
90. #19098454C22semidirect
97. #19098452C22semidirect
98. #19098452C22semidirect
99. #19098451C22semidirect
100. #19098451C22semidirect
101. #19098450C22semidirect
102. #19098448C22semidirect
103. #19098448C22semidirect
104. #19098447C22semidirect
105. #19098446C22semidirect
106. #19098446C22semidirect
107. #19098446C22semidirect
108. #19098446C22semidirect
109. #19098445C22semidirect
110. #19098444C22semidirect
114. #19098442C22semidirect
121. #19098441C22semidirect
122. #19098441C22semidirect
123. #19098441C22semidirect
124. #19098441C22semidirect
126. #19098440C22semidirect
129. #19098439C22semidirect
130. #19098439C22semidirect
131. #19098438C22semidirect
132. #19098438C22semidirect
133. #19098437C22semidirect
134. #19098437C22semidirect
135. #19098436C22semidirect
136. #19098436C22semidirect
137. #19098435C22semidirect
138. #19098435C22semidirect
139. #19098431C22semidirect
142. #19098425C22semidirect
143. #19098425C22semidirect
144. #19098425C22semidirect
146. #19098422C22semidirect
147. #19098422C22semidirect
148. #19098422C22semidirect
149. #19098422C22semidirect
150. #19098422C22semidirect
151. #19098420C22semidirect
156. C4×Dic79⋊C4C22semidirect
157. C4×C4⋊Dic79C22semidirect
158. #19098414C22semidirect
159. C22⋊C4×Dic79C22semidirect
160. C22⋊C4×Dic79C22semidirect
161. C4×(C2×D79)⋊C4C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
163. C4×(C2×D79)⋊C4C22semidirect
164. C4×(C2×D79)⋊C4C22semidirect
165. C4×(C2×D79)⋊C4C22semidirect
166. C4×(C2×D79)⋊C4C22semidirect
167. C4×(C2×D79)⋊C4C22semidirect
169. #19098410C22semidirect
170. #95×D79C22semidirect
171. #95×D79C22semidirect
172. #95×D79C22semidirect
174. #391×C79C22semidirect
175. #391×C79C22semidirect
176. #388×C79C22semidirect
177. #388×C79C22semidirect
178. #388×C79C22semidirect
179. #388×C79C22semidirect
182. C4×C22⋊C4×C79C22semidirect
183. C4×C22⋊C4×C79C22semidirect
184. C4×C22⋊C4×C79C22semidirect
185. C4×C22⋊C4×C79C22semidirect
186. #376×C79C22semidirect
187. #376×C79C22semidirect
192. C2×#11929625C2×C4semidirect
203. C2×D4×D79C2×C4semidirect
218. #14579143C2×C4semidirect
219. #14579143C2×C4semidirect
220. #14579137C2×C4semidirect
221. #14579134C2×C4semidirect
222. #14579134C2×C4semidirect
223. #14579132C2×C4semidirect
224. #14579131C2×C4semidirect
225. #14579131C2×C4semidirect
227. C4×D316C2×C4semidirect
228. C4×D316C2×C4semidirect
299. C22⋊C4×D79C2×C4semidirect
300. C22⋊C4×D79C2×C4semidirect
344. #124×C79C2×C4semidirect
841. #2372D79semidirect
867. C79#34492semidirect
900. #391C2×D79semidirect
901. #391C2×D79semidirect
940. #388C2×D79semidirect
941. #388C2×D79semidirect
942. #388C2×D79semidirect
943. #388C2×D79semidirect
1015. C4×C22⋊C4C2×D79semidirect
1016. C4×C22⋊C4C2×D79semidirect
1017. C4×C22⋊C4C2×D79semidirect
1018. C4×C22⋊C4C2×D79semidirect
1019. #376C2×D79semidirect
1020. #376C2×D79semidirect
1058. #124C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190992062
#237665612
#237665522
#237665422
#237665402
#237664442
#237664332
#237663932
#237663822
#237663412
#237662432
#237662292
#237662182
#237662152
#237661922
#237661602
#237661552
#237661022
#237660702
#237660602
#237660532
#237660442
#237659942
#237659912
#237659742
C4×#145791342
#237658442
#388×D792
C79×#23722
#3449279