Finite Group Databasebeta

← #34456057

Subgroups — #34456057

Order 20224.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099096C211yesmaximal, characteristic, complemented
2C2×C4×D4×D79C211yesmaximal, characteristic, complemented
3#23767657C211yesmaximal, characteristic, complemented
4#23767650C211yesmaximal, characteristic, complemented
5#23767539C211yesmaximal, characteristic, complemented
6#23767532C211yesmaximal, characteristic, complemented
7#23767436C211yesmaximal, characteristic, complemented
8#23767346C211yesmaximal, characteristic, complemented
9#23767339C211yesmaximal, characteristic, complemented
10#23767231C211yesmaximal, characteristic, complemented
11#23767157C211yesmaximal, characteristic, complemented
12#23767067C211yesmaximal, characteristic, complemented
13#23766950C211yesmaximal, characteristic, complemented
14#23766884C211yesmaximal, characteristic, complemented
15#23766791C211yesmaximal, characteristic, complemented
16#23766767C211yesmaximal, characteristic
17#23766722C211yesmaximal, characteristic, complemented
18#23766688C211yesmaximal, characteristic, complemented
19#23766665C211yesmaximal, characteristic, complemented
20#23766639C211yesmaximal, characteristic, complemented
21#23766635C211yesmaximal, characteristic, complemented
22#23765934C211yesmaximal, characteristic, complemented
23#23765927C211yesmaximal, characteristic, complemented
24#23765916C211yesmaximal, characteristic, complemented
25#23765905C211yesmaximal, characteristic, complemented
26#23765905C211yesmaximal, characteristic, complemented
27#23765842C211yesmaximal, characteristic, complemented
28#23765838C211yesmaximal, characteristic, complemented
29#23765782C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic
35#19099096—28no—
36C2×#14579155C2211yescharacteristic, complemented
37C2×#14579151C2211yescharacteristic, complemented
38C2×#14579147C2211yescharacteristic, complemented
39C2×#14579146C2211yescharacteristic
40C2×#14579143C2211yescharacteristic
41C2×#14579143C2211yescharacteristic, complemented
42C2×#14579139C2211yescharacteristic
43C2×#14579139C2211yescharacteristic, complemented
44C2×#14579134C2211yescharacteristic
45C2×#14579132C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×#14579129C2211yescharacteristic
48C2×#14579126C2211yescharacteristic, complemented
49C2×C4×D316C2211yescharacteristic
50C2×D4×Dic79C2211yescharacteristic
51C2×D4×Dic79C2211yescharacteristic, complemented
52C2×D4×Dic79C2211yescharacteristic, complemented
53C2×#14579123C2211yescharacteristic
54C2×C4×C22⋊D79C2211yescharacteristic
55C2×C4×C22⋊D79C2211yescharacteristic
56C2×(C22⋊D79)⋊C4C2211yescharacteristic
57C2×(C22⋊D79)⋊C4C2211yescharacteristic
58C2×(C22⋊D79)⋊C4C2211yescharacteristic
59C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
61C4×D4×D79—28no—
62C2×#14579119C2211yescharacteristic, complemented
63C2×#14579119C2211yescharacteristic, complemented
64C2×#14579117C2211yescharacteristic, complemented
65C2×C4⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C42×D79C2211yescharacteristic
71C2×C42×D79C2211yescharacteristic, complemented
72C2×C42×D79C2211yescharacteristic, complemented
73#19098503C2211yescharacteristic, complemented
74#19098502C2211yescharacteristic, complemented
75#19098501C2211yescharacteristic, complemented
76#19098495C2211yescharacteristic, complemented
77#19098495C2211yescharacteristic, complemented
78#19098493C2211yescharacteristic, complemented
79#19098491C2211yescharacteristic, complemented
80#19098491C2211yescharacteristic, complemented
81#19098490C2211yescharacteristic, complemented
82#19098489C2211yescharacteristic, complemented
83#19098489C2211yescharacteristic, complemented
84#19098488C2211yescharacteristic, complemented
85#19098488C2211yescharacteristic, complemented
86#19098486C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098478C2211yescharacteristic
93#19098478C2211yescharacteristic, complemented
94#19098477C2211yescharacteristic
95#19098477C2211yescharacteristic
96#19098477C2211yescharacteristic, complemented
97#19098477C2211yescharacteristic, complemented
98#19098475C2211yescharacteristic, complemented
99#19098475C2211yescharacteristic, complemented
100#19098471C2211yescharacteristic
101#19098467C2211yescharacteristic, complemented
102#19098461C2211yescharacteristic, complemented
103#19098460C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic, complemented
106#19098456C2211yescharacteristic, complemented
107#19098454C2211yescharacteristic, complemented
108#19098452C2211yescharacteristic, complemented
109#19098451C2211yescharacteristic, complemented
110#19098449C2211yescharacteristic, complemented
111#19098448C2211yescharacteristic, complemented
112#19098447C2211yescharacteristic, complemented
113#19098447C2211yescharacteristic, complemented
114#19098447C2211yescharacteristic, complemented
115#19098445C2211yescharacteristic, complemented
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098439C2211yescharacteristic
119#19098439C2211yescharacteristic
120#19098439C2211yescharacteristic
121#19098439C2211yescharacteristic
122#19098439C2211yescharacteristic
123#19098439C2211yescharacteristic
124#19098439C2211yescharacteristic, complemented
125#19098439C2211yescharacteristic, complemented
126#19098439C2211yescharacteristic, complemented
127#19098437C2211yescharacteristic
128#19098437C2211yescharacteristic
129#19098437C2211yescharacteristic
130#19098437C2211yescharacteristic
131#19098437C2211yescharacteristic, complemented
132#19098437C2211yescharacteristic, complemented
133#19098437C2211yescharacteristic, complemented
134#19098436C2211yescharacteristic, complemented
135#19098436C2211yescharacteristic, complemented
136#19098434C2211yescharacteristic
137#19098434C2211yescharacteristic
138#19098434C2211yescharacteristic, complemented
139#19098434C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic, complemented
141#19098425C2211yescharacteristic, complemented
142#19098425C2211yescharacteristic, complemented
143#19098423C2211yescharacteristic, complemented
144#19098422C2211yescharacteristic
145#19098420C2211yescharacteristic
146#19098420C2211yescharacteristic
147#19098420C2211yescharacteristic, complemented
148#19098418C2211yescharacteristic
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152C4⋊C4×Dic79C2211yescharacteristic, complemented
153C4⋊C4×Dic79C2211yescharacteristic, complemented
154#19098414C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic, complemented
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C22⋊C4×Dic79C2211yescharacteristic, complemented
162C22⋊C4×Dic79C2211yescharacteristic, complemented
163C4×(C2×D79)⋊C4C2211yescharacteristic
164C4×(C2×D79)⋊C4C2211yescharacteristic
165C4×C22⋊Dic79C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171#19098408C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic, complemented
175C2×C4×D4×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic, complemented
179#392×C79C2211yescharacteristic
180#390×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#387×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic, complemented
187#380×C79C2211yescharacteristic, complemented
188C4×C22⋊C4×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C2×D4×D79—24no—
199C2×D4×D79—24no—
200C2×D4×D79—24no—
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79—24no—
205C22×C4×D79—24no—
206C22×C4×D79—24no—
207C22×C4×D79—24no—
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223#14579155—24no—
224#14579151—24no—
225#14579147—24no—
226#14579146—24no—
227#14579143—24no—
228#14579143—24no—
229#14579139—24no—
230#14579139—24no—
231#14579134—24no—
232#14579132—24no—
233#14579129—24no—
234#14579129—24no—
235#14579126—24no—
236C4×D316—24no—
237D4×Dic79—24no—
238D4×Dic79—42no—
239D4×Dic79—42no—
240#14579123D418yescomplemented
241C4×C22⋊D79—24no—
242C4×C22⋊D79—24no—
243(C22⋊D79)⋊C4—24no—
244(C22⋊D79)⋊C4—24no—
245(C22⋊D79)⋊C4—24no—
246(C22⋊D79)⋊C4—24no—
247(C22⋊D79)⋊C4—24no—
248#14579119—24no—
249#14579119—42no—
250#14579117—24no—
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C4⋊C4×D79—24no—
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C22⋊C4×D79—24no—
308C22⋊C4×D79—24no—
309C22⋊C4×D79—24no—
310C22⋊C4×D79—24no—
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C42×D79—24no—
324C42×D79—24no—
325C42×D79—42no—
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358C23×C4×C79C2311yescharacteristic
359#126×C79—24no—
360C4×D4×C79—24no—
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×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381C2×C42×C79C2311yescharacteristic
382C2×C42×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—22no—
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79#4114yes—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C2×Dic158—22no—
409C2×Dic158—22no—
410C2×Dic158—41no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316C2×D414yes—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79#4114yes—
429D4×D79—232no—
430C22×Dic79—22no—
431C22×Dic79—22no—
432C22×Dic79—22no—
433C22×Dic79—22no—
434C22×Dic79—22no—
435C22×Dic79—22no—
436C22×Dic79—22no—
437C22×Dic79—22no—
438C22×Dic79—22no—
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—22no—
457C2×C4×D79—22no—
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—22no—
471C2×C4×D79—22no—
472C2×C4×D79—22no—
473C2×C4×D79—22no—
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—41no—
480C2×C4×D79—41no—
481C2×C4×D79—41no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—41no—
487C2×C4×D79—41no—
488C2×C4×D79—416no—
489C2×C4×D79—416no—
490C2×C4×D79C2×D414yes—
491C2×C4×D79C2×D414yes—
492C2×C4×D79#4114yes—
493C4⋊Dic79—22no—
494C4⋊Dic79—22no—
495C4⋊Dic79—22no—
496C4⋊Dic79—22no—
497C4⋊Dic79—41no—
498C4⋊Dic79—41no—
499C4⋊Dic79—41no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505Dic79⋊C4—22no—
506Dic79⋊C4—22no—
507Dic79⋊C4—22no—
508Dic79⋊C4—22no—
509Dic79⋊C4—22no—
510Dic79⋊C4—22no—
511Dic79⋊C4—22no—
512Dic79⋊C4—41no—
513C22⋊Dic79—22no—
514C22⋊Dic79—22no—
515C22⋊Dic79—22no—
516C22⋊Dic79—22no—
517C22⋊Dic79—22no—
518C22⋊Dic79—22no—
519C22⋊Dic79—22no—
520C22⋊Dic79—22no—
521C22⋊Dic79—22no—
522C22⋊Dic79—22no—
523C22⋊Dic79—41no—
524C22⋊Dic79—41no—
525C22⋊Dic79—41no—
526C22⋊Dic79—41no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
540(C2×D79)⋊C4—22no—
541(C2×D79)⋊C4—22no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4C2×D414yes—
546(C2×D79)⋊C4C2×D414yes—
547(C2×D79)⋊C4#4114yes—
548C4×Dic79—22no—
549C4×Dic79—22no—
550C4×Dic79—22no—
551C4×Dic79—22no—
552C4×Dic79—22no—
553C4×Dic79—22no—
554C4×Dic79—22no—
555C4×Dic79—22no—
556C4×Dic79—22no—
557C4×Dic79—22no—
558C4×Dic79—41no—
559C4×Dic79C2×D414yes—
560C24×C79C2411yescharacteristic
561C24×C79C2411yescharacteristic
562C24×C79C2411yescharacteristic
563C2×D4×C79—22no—
564C2×D4×C79—22no—
565C2×D4×C79—22no—
566C2×D4×C79—22no—
567C2×D4×C79—22no—
568C2×D4×C79—22no—
569C2×D4×C79—41no—
570C2×D4×C79—41no—
571C2×D4×C79—41no—
572C22×C4×C79—22no—
573C22×C4×C79—22no—
574C22×C4×C79—22no—
575C22×C4×C79—22no—
576C22×C4×C79—41no—
577C22×C4×C79—41no—
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C4⋊C4×C79—22no—
591C4⋊C4×C79—22no—
592C4⋊C4×C79—22no—
593C4⋊C4×C79—41no—
594C4⋊C4×C79—41no—
595C4⋊C4×C79C2×D414yes—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—22no—
599C22⋊C4×C79—22no—
600C22⋊C4×C79—22no—
601C22⋊C4×C79—22no—
602C22⋊C4×C79—22no—
603C22⋊C4×C79—22no—
604C22⋊C4×C79—22no—
605C22⋊C4×C79—41no—
606C22⋊C4×C79—41no—
607C22⋊C4×C79—41no—
608C22⋊C4×C79—41no—
609C42×C79—22no—
610C42×C79—22no—
611C42×C79—41no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79C2×#4112yes—
632C23×C79C2×#4112yes—
633C23×C79C2511yescharacteristic
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—28no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—28no—
650C22×D79—28no—
651C22×D79—44no—
652C22×D79—44no—
653C22×D79—44no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79—44no—
658C22×D79—44no—
659C22×D79—44no—
660C22×D79—44no—
661C22×D79—44no—
662C22×D79C22×D412yes—
663C22×D79C22×D412yes—
664C22×D79C2×#4112yes—
665C22×D79C2×#4112yes—
666C22×D79C2×#4112yes—
667C22×D79C2×#4112yes—
668C22×D79C2×#4112yes—
669D4×C79—28no—
670D4×C79—44no—
671D4×C79—44no—
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—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—44no—
704C2×C4×C79—44no—
705C2×C4×C79C22×D412yes—
706C2×C4×C79C22×D412yes—
707C2×C4×C79C22×D412yes—
708C2×C4×C79C2×#4112yes—
709C2×C4×C79C2×#4112yes—
710C22⋊D79—28no—
711C22⋊D79—28no—
712C22⋊D79—44no—
713C22⋊D79—44no—
714C22⋊D79—44no—
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—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—44no—
749C2×Dic79—44no—
750C2×Dic79—44no—
751C2×Dic79C22×D412yes—
752C2×Dic79C22×D412yes—
753C2×Dic79C2×#4112yes—
754C2×Dic79C2×#4112yes—
755C2×Dic79C2×#4112yes—
756C2×Dic79H(5,𝔽2)12yes—
757D316—28no—
758C4×D79—28no—
759C4×D79—28no—
760C4×D79—28no—
761C4×D79—28no—
762C4×D79—44no—
763C4×D79—44no—
764C4×D79—44no—
765C4×D79—44no—
766C4×D79—44no—
767C4×D79—44no—
768C4×D79—44no—
769C4×D79—44no—
770C4×D79—44no—
771Dic158—44no—
772C22×C79—22no—
773C22×C79—22no—
774C22×C79—22no—
775C22×C79—22no—
776C22×C79—22no—
777C22×C79—22no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79C23×D411yescharacteristic
794C22×C79C22×#4111yescharacteristic
795C22×C79C22×#4111yescharacteristic
796C22×C79C22×#4111yescharacteristic
797C22×C79C22×#4111yescharacteristic
798C22×C79C2×H(5,𝔽2)11yescharacteristic
799C22×C79#58511yescharacteristic
800C2×D79—22no—
801C2×D79—22no—
802C2×D79—22no—
803C2×D79—22no—
804C2×D79—22no—
805C2×D79—22no—
806C2×D79—22no—
807C2×D79—22no—
808C2×D79—22no—
809C2×D79—22no—
810C2×D79—22no—
811C2×D79—22no—
812C2×D79—22no—
813C2×D79—22no—
814C2×D79—22no—
815C2×D79—416no—
816C2×D79—416no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79#52514yes—
822C2×D79#52914yescomplemented
823C4×C79—22no—
824C4×C79—22no—
825C4×C79—22no—
826C4×C79—22no—
827C4×C79—22no—
828C4×C79—41no—
829C4×C79—41no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835Dic79—22no—
836Dic79—22no—
837Dic79—22no—
838Dic79—41no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79#54614yes—
848#34670—791nomaximal, Sylow
849C2×C79—42no—
850C2×C79—42no—
851C2×C79—81no—
852C2×C79C2×#52511yescharacteristic
853C2×C79C2×#52911yescharacteristic
854C2×C79#345911yescharacteristic
855C2×C79C2×#54611yescharacteristic
856C2×C79D4×#4111yescharacteristic
857C2×C79#347511yescharacteristic
858C2×C79#348111yescharacteristic
859D79—24no—
860D79—24no—
861D79—42no—
862C2×#529—791no—
863C22×C4×D4—791no—
864#2481—791no—
865#2480—791no—
866#2473—791no—
867#2472—791no—
868#2467D7911yescharacteristic, complemented
869#2466—791no—
870#2460—791no—
871#2459—791no—
872#2450—791no—
873#2444—791no—
874#2437—791no—
875#2425—791no—
876#2419—791no—
877#2412—791no—
878#2410—791no—
879#2405—791no—
880#2398—791no—
881#2395—791no—
882#2392—791no—
883#2392—791no—
884C4×C22⋊Q8—791no—
885C4×#123—791no—
886C4×#121—791no—
887C4×#120—791no—
888C4×#120—791no—
889#2290—791no—
890#2290—791no—
891#2280—791no—
892C2×C4×C22⋊C4—791no—
893C79#3467011yescharacteristic, complemented, Sylow
894C23×D4—791no—
895C24×C4—791no—
896C24×C4—791no—
897#529—1588no—
898C2×#126—791no—
899C2×#126C2×D7911yescharacteristic, complemented
900C2×#125—791no—
901C2×#124—791no—
902C2×#123—791no—
903C2×#123—791no—
904C2×#123—791no—
905C2×C22⋊Q8—791no—
906C2×C22⋊Q8—791no—
907C2×#121—791no—
908C2×#121—791no—
909C2×#120—791no—
910C2×#120—791no—
911C2×C4×Q8—791no—
912C2×C4×D4—791no—
913C2×C4×D4—791no—
914C2×C4×D4—791no—
915C2×C4×D4—791no—
916C2×C4×D4—791no—
917C2×C4×D4—791no—
918C2×C4×D4—791no—
919C2×C4×D4—791no—
920C2×C4×D4—791no—
921C2×C4×D4—791no—
922C2×C4×D4—791no—
923C2×C4×D4—791no—
924C2×C4×D4—1588no—
925C2×C4×D4C2×D7911yescharacteristic
926C2×#117—791no—
927C2×#117—791no—
928C2×#117—791no—
929C22×C4⋊C4—791no—
930C22×C22⋊C4—791no—
931C22×C22⋊C4—791no—
932C22×C22⋊C4—791no—
933C22×C22⋊C4—791no—
934C22×C42—791no—
935C22×C42—791no—
936C22×C42—791no—
937#400—791no—
938#400—791no—
939#400—791no—
940#399C2×D7911yescharacteristic, complemented
941#398—791no—
942#398—791no—
943#398—791no—
944#397—791no—
945#397—791no—
946#397—791no—
947#397—791no—
948#397—791no—
949#397—791no—
950#397—791no—
951#396—791no—
952#396—791no—
953#396—791no—
954#396—791no—
955#394—791no—
956#394—791no—
957#394—791no—
958#394—791no—
959#394—791no—
960#394—791no—
961#394—791no—
962#394—791no—
963#394C2×D7911yescharacteristic
964#394C2×D7911yescharacteristic, complemented
965#393—791no—
966#393—791no—
967#392—791no—
968#392C2×D7911yescharacteristic
969#391—791no—
970#390C2×D7911yescharacteristic, complemented
971#389—791no—
972#389—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388C2×D7911yescharacteristic, complemented
980#388C2×D7911yescharacteristic, complemented
981#387—791no—
982#387—791no—
983#387—791no—
984#387—791no—
985#387—791no—
986#387—791no—
987#387C2×D7911yescharacteristic, complemented
988#387C2×D7911yescharacteristic, complemented
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386C2×D7911yescharacteristic, complemented
1001#386C2×D7911yescharacteristic, complemented
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385—791no—
1012#385—791no—
1013#385—791no—
1014#385—791no—
1015#381—791no—
1016#381—791no—
1017#381—791no—
1018#380—791no—
1019#380—791no—
1020#380—791no—
1021#380—791no—
1022#380—791no—
1023#380C2×D7911yescharacteristic, complemented
1024#379—791no—
1025#379—791no—
1026#379—791no—
1027#379—791no—
1028C4×C4⋊C4—791no—
1029C4×C4⋊C4—791no—
1030C4×C4⋊C4—791no—
1031C4×C4⋊C4—791no—
1032C4×C22⋊C4—791no—
1033C4×C22⋊C4—791no—
1034C4×C22⋊C4—791no—
1035C4×C22⋊C4—791no—
1036C4×C22⋊C4—791no—
1037C4×C22⋊C4—791no—
1038C4×C22⋊C4—791no—
1039C4×C22⋊C4—791no—
1040C4×C22⋊C4—791no—
1041C4×C22⋊C4—791no—
1042C4×C22⋊C4—791no—
1043C4×C22⋊C4—791no—
1044C4×C22⋊C4—791no—
1045C4×C22⋊C4—791no—
1046C4×C22⋊C4—791no—
1047C4×C22⋊C4C2×D7911yescharacteristic, complemented
1048#376—791no—
1049C2×#95—791no—
1050C2×#95—791no—
1051C25—791no—
1052C25—791no—
1053C22×Q8—791no—
1054C22×D4—791no—
1055C22×D4—791no—
1056C22×D4—791no—
1057C22×D4—791no—
1058C22×D4—791no—
1059C22×D4—791no—
1060C22×D4—1584no—
1061C22×D4—1584no—
1062C22×D4—1584no—
1063C22×D4C22×D7911yescharacteristic
1064C22×D4C22×D7911yescharacteristic
1065C22×D4C22×D7911yescharacteristic
1066C23×C4—3162no—
1067C23×C4—3162no—
1068C23×C4—791no—
1069C23×C4—791no—
1070C23×C4—791no—
1071C23×C4—791no—
1072C23×C4—791no—
1073C23×C4—791no—
1074C23×C4—791no—
1075C23×C4—791no—
1076C23×C4—791no—
1077C23×C4—791no—
1078C23×C4—791no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—791no—
1084C23×C4—1584no—
1085C23×C4—1584no—
1086C23×C4—1584no—
1087C23×C4—1584no—
1088C23×C4C22×D7911yescharacteristic
1089C23×C4C22×D7911yescharacteristic
1090#126—24no—
1091#126—1584no—
1092#125—1584no—
1093#124—1584no—
1094#123—1584no—
1095#123—1584no—
1096#123—1584no—
1097C22⋊Q8—1584no—
1098C22⋊Q8—1584no—
1099#121—1584no—
1100#121—1584no—
1101#120—1584no—
1102#120—1584no—
1103C4×Q8—1584no—
1104C4×D4—24no—
1105C4×D4—3162no—
1106C4×D4—3162no—
1107C4×D4—798no—
1108C4×D4—1584no—
1109C4×D4—1584no—
1110C4×D4—1584no—
1111C4×D4—1584no—
1112C4×D4—1584no—
1113C4×D4—1584no—
1114C4×D4—1584no—
1115C4×D4—1584no—
1116C4×D4—1584no—
1117#117—3162no—
1118#117—1584no—
1119#117—1584no—
1120C2×C4⋊C4—791no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—791no—
1130C2×C4⋊C4—791no—
1131C2×C4⋊C4—791no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4—791no—
1139C2×C4⋊C4—791no—
1140C2×C4⋊C4—1584no—
1141C2×C4⋊C4C22×D7911yescharacteristic
1142C2×C4⋊C4C22×D7911yescharacteristic
1143C2×C4⋊C4C22×D7911yescharacteristic
1144C2×C4⋊C4C22×D7911yescharacteristic
1145C2×C4⋊C4C22×D7911yescharacteristic
1146C2×C4⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—1584no—
1183C2×C22⋊C4—1584no—
1184C2×C22⋊C4—1584no—
1185C2×C22⋊C4—1584no—
1186C2×C22⋊C4C22×D7911yescharacteristic
1187C2×C22⋊C4C22×D7911yescharacteristic
1188C2×C22⋊C4C22×D7911yescharacteristic
1189C2×C22⋊C4C22×D7911yescharacteristic
1190C2×C22⋊C4C22×D7911yescharacteristic
1191C2×C22⋊C4C22×D7911yescharacteristic
1192C2×C22⋊C4C22×D7911yescharacteristic
1193C2×C22⋊C4C22×D7911yescharacteristic
1194C2×C22⋊C4C22×D7911yescharacteristic
1195C2×C22⋊C4C22×D7911yescharacteristic
1196C2×C22⋊C4C22×D7911yescharacteristic
1197C2×C22⋊C4C22×D7911yescharacteristic
1198C2×C22⋊C4C22×D7911yescharacteristic
1199C2×C42—3162no—
1200C2×C42—791no—
1201C2×C42—791no—
1202C2×C42—791no—
1203C2×C42—791no—
1204C2×C42—791no—
1205C2×C42—791no—
1206C2×C42—791no—
1207C2×C42—791no—
1208C2×C42—791no—
1209C2×C42—791no—
1210C2×C42—791no—
1211C2×C42—791no—
1212C2×C42—1584no—
1213C2×C42—1584no—
1214C2×C42C22×D7911yescharacteristic
1215C2×C42C22×D7911yescharacteristic
1216C2×C42C22×D7911yescharacteristic
1217#95—791no—
1218#95—791no—
1219#95—791no—
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95—791no—
1245#95C22×D7911yescharacteristic
1246#95C22×D7911yescharacteristic
1247#95C22×D7911yescharacteristic
1248#95C22×D7911yescharacteristic
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252#95C22×D7911yescharacteristic
1253C24—3161no—
1254C24—3161no—
1255C24—3161no—
1256C24—3161no—
1257C24—794no—
1258C24—791no—
1259C24—791no—
1260C24—791no—
1261C24—1582no—
1262C24—1582no—
1263C24—1582no—
1264C24—1582no—
1265C24—1582no—
1266C24—1582no—
1267C24—1582no—
1268C24—1582no—
1269C24—1582no—
1270C24C23×D7911yescharacteristic
1271C24C23×D7911yescharacteristic
1272C24C23×D7911yescharacteristic
1273C2×Q8—3161no—
1274C2×Q8—1582no—
1275C2×Q8—1582no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—3161no—
1286C2×D4—794no—
1287C2×D4—794no—
1288C2×D4—1582no—
1289C2×D4—1582no—
1290C2×D4—1582no—
1291C2×D4—1582no—
1292C2×D4—15832no—
1293C2×D4—1582no—
1294C2×D4—1582no—
1295C2×D4—1582no—
1296C2×D4—1582no—
1297C2×D4—1582no—
1298C2×D4—1582no—
1299C2×D4—1582no—
1300C2×D4—1582no—
1301C2×D4—1582no—
1302C2×D4—1582no—
1303C2×D4—1582no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—3161no—
1311C22×C4—3161no—
1312C22×C4—3161no—
1313C22×C4—3161no—
1314C22×C4—3161no—
1315C22×C4—3161no—
1316C22×C4—3161no—
1317C22×C4—3161no—
1318C22×C4—3161no—
1319C22×C4—31616no—
1320C22×C4—31616no—
1321C22×C4—791no—
1322C22×C4—791no—
1323C22×C4—791no—
1324C22×C4—791no—
1325C22×C4—794no—
1326C22×C4—794no—
1327C22×C4—794no—
1328C22×C4—791no—
1329C22×C4—791no—
1330C22×C4—791no—
1331C22×C4—791no—
1332C22×C4—791no—
1333C22×C4—791no—
1334C22×C4—791no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—1582no—
1338C22×C4—1582no—
1339C22×C4—1582no—
1340C22×C4—1582no—
1341C22×C4—1582no—
1342C22×C4—1582no—
1343C22×C4—1582no—
1344C22×C4—1582no—
1345C22×C4—1582no—
1346C22×C4—1582no—
1347C22×C4—1582no—
1348C22×C4—1582no—
1349C22×C4—1582no—
1350C22×C4—1582no—
1351C22×C4—1582no—
1352C22×C4—1582no—
1353C22×C4—1582no—
1354C22×C4—1582no—
1355C22×C4—1582no—
1356C22×C4—1582no—
1357C22×C4—1582no—
1358C22×C4—1582no—
1359C22×C4—1582no—
1360C22×C4—1582no—
1361C22×C4—1582no—
1362C22×C4—1582no—
1363C22×C4—1582no—
1364C22×C4—1582no—
1365C22×C4—1582no—
1366C22×C4—1582no—
1367C22×C4—1582no—
1368C22×C4—1582no—
1369C22×C4—1582no—
1370C22×C4—1582no—
1371C22×C4—1582no—
1372C22×C4—1582no—
1373C22×C4C23×D7911yescharacteristic
1374C22×C4C23×D7911yescharacteristic
1375C22×C4C23×D7911yescharacteristic
1376C22×C4C23×D7911yescharacteristic
1377C22×C4C23×D7911yescharacteristic
1378C22×C4C23×D7911yescharacteristic
1379C22×C4C23×D7911yescharacteristic
1380C22×C4C23×D7911yescharacteristic
1381C22×C4C23×D7911yescharacteristic
1382C22×C4C23×D7911yescharacteristic
1383C22×C4C23×D7911yescharacteristic
1384C22×C4C23×D7911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—3161no—
1391C4⋊C4—3161no—
1392C4⋊C4—3161no—
1393C4⋊C4—3161no—
1394C4⋊C4—1582no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4—1582no—
1405C4⋊C4—1582no—
1406C4⋊C4—1582no—
1407C4⋊C4—1582no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C4⋊C4D4×D7914yes—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—3161no—
1425C22⋊C4—3161no—
1426C22⋊C4—3161no—
1427C22⋊C4—3161no—
1428C22⋊C4—3161no—
1429C22⋊C4—3161no—
1430C22⋊C4—3161no—
1431C22⋊C4—794no—
1432C22⋊C4—794no—
1433C22⋊C4—794no—
1434C22⋊C4—1582no—
1435C22⋊C4—1582no—
1436C22⋊C4—1582no—
1437C22⋊C4—1582no—
1438C22⋊C4—1582no—
1439C22⋊C4—1582no—
1440C22⋊C4—1582no—
1441C22⋊C4—1582no—
1442C22⋊C4—1582no—
1443C22⋊C4—1582no—
1444C22⋊C4—1582no—
1445C22⋊C4—1582no—
1446C22⋊C4—1582no—
1447C22⋊C4—1582no—
1448C22⋊C4—1582no—
1449C22⋊C4—1582no—
1450C22⋊C4—1582no—
1451C22⋊C4—1582no—
1452C22⋊C4—1582no—
1453C22⋊C4—1582no—
1454C22⋊C4—1582no—
1455C22⋊C4—1582no—
1456C22⋊C4—1582no—
1457C22⋊C4—1582no—
1458C22⋊C4—1582no—
1459C42—22no—
1460C42—22no—
1461C42—41no—
1462C42—3161no—
1463C42—794no—
1464C42—1582no—
1465C42—1582no—
1466C42—1582no—
1467C42—1582no—
1468C42—1582no—
1469C42—1582no—
1470C42—1582no—
1471C42—1582no—
1472C42—1582no—
1473C42—1582no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—3164no—
1494C23—3164no—
1495C23—3164no—
1496C23—3164no—
1497C23—3164no—
1498C23—3164no—
1499C23—3164no—
1500C23—3164no—
1501C23—3164no—
1502C23—3164no—
1503C23—3164no—
1504C23—792no—
1505C23—792no—
1506C23—792no—
1507C23—792no—
1508C23—792no—
1509C23—792no—
1510C23—792no—
1511C23—1588no—
1512C23—1588no—
1513C23—1588no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23—1581no—
1518C23—1581no—
1519C23—1581no—
1520C23—1581no—
1521C23—1581no—
1522C23—1581no—
1523C23—1581no—
1524C23—1581no—
1525C23—1581no—
1526C23—1581no—
1527C23—1581no—
1528C23#41×D7912yes—
1529C23#41×D7912yes—
1530C23C24×D7911yescharacteristic
1531Q8—3164no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—3164no—
1536D4—3164no—
1537D4—3164no—
1538D4—1588no—
1539D4—1588no—
1540D4—1588no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—3164no—
1575C2×C4—3164no—
1576C2×C4—3164no—
1577C2×C4—3164no—
1578C2×C4—3164no—
1579C2×C4—3164no—
1580C2×C4—3164no—
1581C2×C4—3164no—
1582C2×C4—3164no—
1583C2×C4—3164no—
1584C2×C4—3164no—
1585C2×C4—3164no—
1586C2×C4—792no—
1587C2×C4—792no—
1588C2×C4—792no—
1589C2×C4—792no—
1590C2×C4—792no—
1591C2×C4—792no—
1592C2×C4—1588no—
1593C2×C4—1588no—
1594C2×C4—1588no—
1595C2×C4—1588no—
1596C2×C4—1581no—
1597C2×C4—1581no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4—1581no—
1610C2×C4—1581no—
1611C2×C4—1581no—
1612C2×C4—1581no—
1613C2×C4—1581no—
1614C2×C4—1581no—
1615C2×C4—1581no—
1616C2×C4—1581no—
1617C2×C4—1581no—
1618C2×C4—1581no—
1619C2×C4—1581no—
1620C2×C4—1581no—
1621C2×C4—1581no—
1622C2×C4—1581no—
1623C2×C4—1581no—
1624C2×C4—1581no—
1625C2×C4—1581no—
1626C2×C4—1581no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4C2×D4×D7912yes—
1630C2×C4C2×D4×D7912yes—
1631C2×C4C2×D4×D7912yes—
1632C2×C4#41×D7912yes—
1633C2×C4#41×D7912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—31616no—
1656C22—31616no—
1657C22—3161no—
1658C22—3161no—
1659C22—3161no—
1660C22—3161no—
1661C22—794no—
1662C22—794no—
1663C22—1582no—
1664C22—1582no—
1665C22—1582no—
1666C22—1582no—
1667C22—1582no—
1668C22—1582no—
1669C22—1582no—
1670C22—1582no—
1671C22—1582no—
1672C22—1582no—
1673C22—1582no—
1674C22—1582no—
1675C22—1582no—
1676C22—1582no—
1677C22—1582no—
1678C22C22×D4×D7911yescharacteristic
1679C22C2×#41×D7911yescharacteristic
1680C22C2×#41×D7911yescharacteristic
1681C22C2×#41×D7911yescharacteristic
1682C22C2×#41×D7911yescharacteristic
1683C22H(5,𝔽2)×D7911yescharacteristic
1684C22#1909939811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—3161no—
1698C4—3161no—
1699C4—3161no—
1700C4—3161no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—3161no—
1706C4—794no—
1707C4—1582no—
1708C4—1582no—
1709C4—1582no—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—3162no—
1714C2—1584no—
1715C2—1584no—
1716C2#525×D7911yescharacteristic
1717C2#529×D7911yescharacteristic
1718C2#2377681111yescharacteristic
1719C2#546×D7911yescharacteristic
1720C2#2377689011yescharacteristic
1721C2#2377695911yescharacteristic
1722C2#2377700311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2467C2
prime radical#23766767C2
hypercenter#2467D79
hypocenterC79#34670
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#19099096C2semidirect
2. C2×C4×D4×D79C2semidirect
3. #23767657C2semidirect
4. #23767650C2semidirect
5. #23767539C2semidirect
6. #23767532C2semidirect
7. #23767436C2semidirect
8. #23767346C2semidirect
9. #23767339C2semidirect
10. #23767231C2semidirect
11. #23767157C2semidirect
12. #23767067C2semidirect
13. #23766950C2semidirect
14. #23766884C2semidirect
15. #23766791C2semidirect
17. #23766722C2semidirect
18. #23766688C2semidirect
19. #23766665C2semidirect
20. #23766639C2semidirect
21. #23766635C2semidirect
22. #23765934C2semidirect
23. #23765927C2semidirect
24. #23765916C2semidirect
25. #23765905C2semidirect
26. #23765905C2semidirect
27. #23765842C2semidirect
28. #23765838C2semidirect
29. #23765782C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2467C2semidirect
36. C2×#14579155C22semidirect
37. C2×#14579151C22semidirect
38. C2×#14579147C22semidirect
41. C2×#14579143C22semidirect
43. C2×#14579139C22semidirect
48. C2×#14579126C22semidirect
51. C2×D4×Dic79C22semidirect
52. C2×D4×Dic79C22semidirect
59. C2×(C22⋊D79)⋊C4C22semidirect
60. C2×(C22⋊D79)⋊C4C22semidirect
62. C2×#14579119C22semidirect
63. C2×#14579119C22semidirect
64. C2×#14579117C22semidirect
71. C2×C42×D79C22semidirect
72. C2×C42×D79C22semidirect
73. #19098503C22semidirect
74. #19098502C22semidirect
75. #19098501C22semidirect
76. #19098495C22semidirect
77. #19098495C22semidirect
78. #19098493C22semidirect
79. #19098491C22semidirect
80. #19098491C22semidirect
81. #19098490C22semidirect
82. #19098489C22semidirect
83. #19098489C22semidirect
84. #19098488C22semidirect
85. #19098488C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098486C22semidirect
89. #19098486C22semidirect
93. #19098478C22semidirect
96. #19098477C22semidirect
97. #19098477C22semidirect
98. #19098475C22semidirect
99. #19098475C22semidirect
101. #19098467C22semidirect
102. #19098461C22semidirect
103. #19098460C22semidirect
104. #19098457C22semidirect
105. #19098457C22semidirect
106. #19098456C22semidirect
107. #19098454C22semidirect
108. #19098452C22semidirect
109. #19098451C22semidirect
110. #19098449C22semidirect
111. #19098448C22semidirect
112. #19098447C22semidirect
113. #19098447C22semidirect
114. #19098447C22semidirect
115. #19098445C22semidirect
124. #19098439C22semidirect
125. #19098439C22semidirect
126. #19098439C22semidirect
131. #19098437C22semidirect
132. #19098437C22semidirect
133. #19098437C22semidirect
134. #19098436C22semidirect
135. #19098436C22semidirect
138. #19098434C22semidirect
139. #19098434C22semidirect
140. #19098425C22semidirect
141. #19098425C22semidirect
142. #19098425C22semidirect
143. #19098423C22semidirect
147. #19098420C22semidirect
152. C4⋊C4×Dic79C22semidirect
153. C4⋊C4×Dic79C22semidirect
154. #19098414C22semidirect
155. #19098414C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
159. C22⋊C4×Dic79C22semidirect
160. C22⋊C4×Dic79C22semidirect
161. C22⋊C4×Dic79C22semidirect
162. C22⋊C4×Dic79C22semidirect
165. C4×C22⋊Dic79C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
171. #19098408C22semidirect
172. #95×D79C22semidirect
173. #95×D79C22semidirect
174. C2×#126×C79C22semidirect
176. #399×C79C22semidirect
178. #394×C79C22semidirect
180. #390×C79C22semidirect
181. #388×C79C22semidirect
182. #388×C79C22semidirect
183. #387×C79C22semidirect
184. #387×C79C22semidirect
185. #386×C79C22semidirect
186. #386×C79C22semidirect
187. #380×C79C22semidirect
188. C4×C22⋊C4×C79C22semidirect
240. #14579123D4semidirect
822. C2×D79#529semidirect
868. #2467D79semidirect
893. C79#34670semidirect
899. C2×#126C2×D79semidirect
940. #399C2×D79semidirect
964. #394C2×D79semidirect
970. #390C2×D79semidirect
979. #388C2×D79semidirect
980. #388C2×D79semidirect
987. #387C2×D79semidirect
988. #387C2×D79semidirect
1000. #386C2×D79semidirect
1001. #386C2×D79semidirect
1023. #380C2×D79semidirect
1047. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990962
C2×C4×D4×D792
#237676572
#237676502
#237675392
#237675322
#237674362
#237673462
#237673392
#237672312
#237671572
#237670672
#237669502
#237668842
#237667912
#237667672
#237667222
#237666882
#237666652
#237666392
#237666352
#237659342
#237659272
#237659162
#237659052
#237658422
#237658382
#237657822
C4×C22⋊C4×D792
C79×#24672
#3467079