Finite Group Databasebeta

← #34451401

Subgroups — #34451401

Order 20224.

2458 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099069C211yesmaximal, characteristic
2#23766541C211yesmaximal, characteristic, complemented
3#23766539C211yesmaximal, characteristic, complemented
4#23766539C211yesmaximal, characteristic, complemented
5#23766441C211yesmaximal, characteristic, complemented
6#23766435C211yesmaximal, characteristic, complemented
7#23766430C211yesmaximal, characteristic, complemented
8#23766424C211yesmaximal, characteristic, complemented
9#23766372C211yesmaximal, characteristic, complemented
10#23766370C211yesmaximal, characteristic, complemented
11#23766338C211yesmaximal, characteristic, complemented
12#23766335C211yesmaximal, characteristic, complemented
13#23766290C211yesmaximal, characteristic, complemented
14#23766282C211yesmaximal, characteristic, complemented
15#23766239C211yesmaximal, characteristic, complemented
16#23766226C211yesmaximal, characteristic, complemented
17#23766195C211yesmaximal, characteristic, complemented
18#23766191C211yesmaximal, characteristic, complemented
19#23766187C211yesmaximal, characteristic, complemented
20#23766183C211yesmaximal, characteristic, complemented
21#23766090C211yesmaximal, characteristic, complemented
22#23766086C211yesmaximal, characteristic, complemented
23#23766079C211yesmaximal, characteristic, complemented
24#23766075C211yesmaximal, characteristic, complemented
25#23766041C211yesmaximal, characteristic, complemented
26#23766037C211yesmaximal, characteristic, complemented
27#23766030C211yesmaximal, characteristic, complemented
28#23766026C211yesmaximal, characteristic, complemented
29#23765778C211yesmaximal, characteristic, complemented
30#23765778C211yesmaximal, characteristic, complemented
31C79×#2375C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C24×Dic79C2211yescharacteristic
34#19099069C4116yescomplemented
35C2×#14579145C2211yescharacteristic
36C2×#14579142C2211yescharacteristic
37C2×#14579138C2211yescharacteristic
38C2×#14579138C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579130C2211yescharacteristic
42C2×C4×Dic158C2211yescharacteristic, complemented
43C2×#14579126C2211yescharacteristic, complemented
44C2×D4×Dic79C2211yescharacteristic
45C2×D4×Dic79C2211yescharacteristic
46C2×C4×C22⋊D79C2211yescharacteristic, complemented
47C2×(C22⋊D79)⋊C4C2211yescharacteristic
48C2×(C22⋊D79)⋊C4C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
50C2×#14579117C2211yescharacteristic
51C2×#14579117C2211yescharacteristic
52C2×#14579117C2211yescharacteristic
53C2×#14579117C2211yescharacteristic
54C2×#14579117C2211yescharacteristic
55#19098467C2211yescharacteristic, complemented
56#19098467C2211yescharacteristic, complemented
57#19098466C2211yescharacteristic
58#19098466C2211yescharacteristic
59#19098466C2211yescharacteristic
60#19098463C2211yescharacteristic
61#19098463C2211yescharacteristic
62#19098463C2211yescharacteristic
63#19098463C2211yescharacteristic
64#19098463C2211yescharacteristic
65#19098463C2211yescharacteristic
66#19098463C2211yescharacteristic, complemented
67#19098463C2211yescharacteristic, complemented
68#19098461C2211yescharacteristic, complemented
69#19098460C2211yescharacteristic, complemented
70#19098460C2211yescharacteristic, complemented
71#19098460C2211yescharacteristic, complemented
72#19098459C2211yescharacteristic, complemented
73#19098458C2211yescharacteristic, complemented
74#19098458C2211yescharacteristic, complemented
75#19098458C2211yescharacteristic, complemented
76#19098457C2211yescharacteristic
77#19098457C2211yescharacteristic
78#19098457C2211yescharacteristic
79#19098457C2211yescharacteristic
80#19098457C2211yescharacteristic
81#19098457C2211yescharacteristic
82#19098457C2211yescharacteristic, complemented
83#19098457C2211yescharacteristic, complemented
84#19098456C2211yescharacteristic
85#19098456C2211yescharacteristic
86#19098456C2211yescharacteristic
87#19098456C2211yescharacteristic
88#19098456C2211yescharacteristic
89#19098456C2211yescharacteristic
90#19098455C2211yescharacteristic, complemented
91#19098454C2211yescharacteristic, complemented
92#19098453C2211yescharacteristic, complemented
93#19098452C2211yescharacteristic, complemented
94#19098451C2211yescharacteristic
95#19098451C2211yescharacteristic
96#19098451C2211yescharacteristic
97#19098451C2211yescharacteristic
98#19098451C2211yescharacteristic
99#19098451C2211yescharacteristic
100#19098451C2211yescharacteristic, complemented
101#19098451C2211yescharacteristic, complemented
102#19098450C2211yescharacteristic, complemented
103#19098448C2211yescharacteristic, complemented
104#19098448C2211yescharacteristic, complemented
105#19098447C2211yescharacteristic, complemented
106#19098446C2211yescharacteristic, complemented
107#19098446C2211yescharacteristic, complemented
108#19098445C2211yescharacteristic, complemented
109#19098444C2211yescharacteristic, complemented
110#19098443C2211yescharacteristic
111#19098443C2211yescharacteristic
112#19098443C2211yescharacteristic
113#19098439C2211yescharacteristic
114#19098439C2211yescharacteristic
115#19098439C2211yescharacteristic
116#19098439C2211yescharacteristic
117#19098439C2211yescharacteristic
118#19098439C2211yescharacteristic
119#19098437C2211yescharacteristic, complemented
120#19098436C2211yescharacteristic, complemented
121#19098435C2211yescharacteristic, complemented
122#19098434C2211yescharacteristic, complemented
123#19098430C2211yescharacteristic, complemented
124#19098430C2211yescharacteristic, complemented
125#19098428C2211yescharacteristic, complemented
126#19098427C2211yescharacteristic, complemented
127#19098425C2211yescharacteristic, complemented
128#19098424C2211yescharacteristic
129#19098424C2211yescharacteristic
130#19098424C2211yescharacteristic
131#19098424C2211yescharacteristic
132#19098424C2211yescharacteristic, complemented
133#19098421C2211yescharacteristic
134#19098421C2211yescharacteristic
135#19098421C2211yescharacteristic
136#19098421C2211yescharacteristic
137#19098421C2211yescharacteristic
138#19098421C2211yescharacteristic
139#19098421C2211yescharacteristic
140#19098421C2211yescharacteristic
141#19098421C2211yescharacteristic, complemented
142#19098420C2211yescharacteristic, complemented
143#19098419C2211yescharacteristic
144#19098419C2211yescharacteristic
145C4⋊C4×Dic79C2211yescharacteristic, complemented
146C4⋊C4×Dic79C2211yescharacteristic, complemented
147C4×Dic79⋊C4C2211yescharacteristic, complemented
148C4×Dic79⋊C4C2211yescharacteristic, complemented
149C4×Dic79⋊C4C2211yescharacteristic, complemented
150C4×Dic79⋊C4C2211yescharacteristic, complemented
151C4×C4⋊Dic79C2211yescharacteristic, complemented
152#19098414C2211yescharacteristic, complemented
153#19098414C2211yescharacteristic, complemented
154#19098414C2211yescharacteristic, complemented
155C22⋊C4×Dic79C2211yescharacteristic
156C22⋊C4×Dic79C2211yescharacteristic
157C22⋊C4×Dic79C2211yescharacteristic
158C22⋊C4×Dic79C2211yescharacteristic
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic
161C22⋊C4×Dic79C2211yescharacteristic
162C22⋊C4×Dic79C2211yescharacteristic
163C22⋊C4×Dic79C2211yescharacteristic, complemented
164C22⋊C4×Dic79C2211yescharacteristic, complemented
165C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic79C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic, complemented
169#19098409C2211yescharacteristic, complemented
170#19098408C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173C2×#120×C79C2211yescharacteristic
174#390×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic
176#390×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic
181#388×C79C2211yescharacteristic
182#388×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187#379×C79C2211yescharacteristic
188C2×#11929623—42no—
189C2×#11929623—42no—
190C2×#11929623C2×C418yes—
191C22×Dic158C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79—42no—
197C23×Dic79—42no—
198C23×Dic79C2×C418yescomplemented
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579145C2×C418yescomplemented
211#14579142C2×C418yescomplemented
212#14579138C2×C418yescomplemented
213#14579138C2×C418yescomplemented
214#14579133C2×C418yes—
215#14579133C2×C418yes—
216#14579130C2×C418yescomplemented
217C4×Dic158—42no—
218#14579126—42no—
219D4×Dic79C2×C418yescomplemented
220D4×Dic79C2×C418yescomplemented
221C4×C22⋊D79—42no—
222(C22⋊D79)⋊C4—42no—
223(C22⋊D79)⋊C4C2×C418yescomplemented
224(C22⋊D79)⋊C4C2×C418yescomplemented
225#14579117—42no—
226#14579117—42no—
227#14579117—42no—
228#14579117—42no—
229#14579117C2×C418yescomplemented
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×(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×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C25×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339#120×C79C2×C418yescomplemented
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊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×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×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
370C23×D79C2411yescharacteristic
371#11929623—416no—
372C2×Dic158—22no—
373C2×Dic158—22no—
374C2×Dic158C22×C414yes—
375C2×C22⋊D79—22no—
376C2×C22⋊D79—22no—
377C2×C22⋊D79—41no—
378C2×C22⋊D79—41no—
379C2×C22⋊D79—41no—
380C2×C22⋊D79—41no—
381C2×C22⋊D79—41no—
382C2×C22⋊D79—41no—
383C2×C22⋊D79C22×C414yes—
384C2×C22⋊D79C22×C414yes—
385C2×C22⋊D79C22×C414yes—
386C2×C22⋊D79C22×C414yes—
387C22×Dic79—22no—
388C22×Dic79—22no—
389C22×Dic79—22no—
390C22×Dic79—22no—
391C22×Dic79—22no—
392C22×Dic79—22no—
393C22×Dic79—41no—
394C22×Dic79—41no—
395C22×Dic79—41no—
396C22×Dic79—41no—
397C22×Dic79—41no—
398C22×Dic79—41no—
399C22×Dic79—41no—
400C22×Dic79—41no—
401C22×Dic79—41no—
402C22×Dic79—41no—
403C22×Dic79—41no—
404C22×Dic79—416no—
405C22×Dic79C22×C414yes—
406C22×Dic79C22×C414yes—
407C22×Dic79C22×C414yes—
408C22×Dic79C22×C414yes—
409C22×Dic79C22×C414yes—
410C22×Dic79C22×C414yes—
411C22×Dic79C22×C414yes—
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C2×C4×D79—41no—
428C2×C4×D79—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79C22×C414yes—
436C4⋊Dic79—41no—
437C4⋊Dic79—41no—
438C4⋊Dic79—41no—
439C4⋊Dic79C22×C414yes—
440C4⋊Dic79C22×C414yes—
441Dic79⋊C4—22no—
442Dic79⋊C4—22no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4C22×C414yes—
456Dic79⋊C4C22×C414yes—
457Dic79⋊C4C22×C414yes—
458Dic79⋊C4C22×C414yes—
459C22⋊Dic79—41no—
460C22⋊Dic79—41no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79C22×C414yes—
475C22⋊Dic79C22×C414yes—
476C22⋊Dic79C22×C414yes—
477C22⋊Dic79C22×C414yes—
478C22⋊Dic79C22×C414yes—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4C22×C414yes—
486(C2×D79)⋊C4C22×C414yes—
487C4×Dic79—22no—
488C4×Dic79—22no—
489C4×Dic79—22no—
490C4×Dic79—22no—
491C4×Dic79—41no—
492C4×Dic79—41no—
493C4×Dic79—41no—
494C4×Dic79—41no—
495C4×Dic79—41no—
496C4×Dic79—41no—
497C4×Dic79—41no—
498C4×Dic79—41no—
499C4×Dic79—41no—
500C4×Dic79—41no—
501C4×Dic79—41no—
502C4×Dic79—41no—
503C4×Dic79—41no—
504C4×Dic79C22×C414yes—
505C4×Dic79C22×C414yes—
506C24×C79—41no—
507C24×C79—41no—
508C24×C79—41no—
509C24×C79—41no—
510C24×C79—41no—
511C24×C79—41no—
512C24×C79C22×C414yes—
513C24×C79C2411yescharacteristic
514C24×C79C2411yescharacteristic
515C24×C79C2411yescharacteristic
516C24×C79C2411yescharacteristic
517C2×D4×C79—41no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C2×D4×C79—41no—
522C2×D4×C79—41no—
523C2×D4×C79C22×C414yes—
524C2×D4×C79C22×C414yes—
525C2×D4×C79C22×C414yes—
526C22×C4×C79—41no—
527C22×C4×C79—41no—
528C22×C4×C79—41no—
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C4⋊C4×C79—41no—
541C4⋊C4×C79—41no—
542C4⋊C4×C79—41no—
543C22⋊C4×C79—41no—
544C22⋊C4×C79—41no—
545C22⋊C4×C79—41no—
546C22⋊C4×C79—41no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C22⋊C4×C79C22×C414yes—
559C22⋊C4×C79C22×C414yes—
560C22⋊C4×C79C22×C414yes—
561C42×C79—41no—
562C42×C79—41no—
563C42×C79—41no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—44no—
589C23×C79—44no—
590C23×C79—44no—
591C23×C79—44no—
592C23×C79—44no—
593C23×C79—44no—
594C23×C79—44no—
595C23×C79C23×C412yes—
596C23×C79C23×C412yes—
597C23×C79C23×C412yes—
598C23×C79C23×C412yes—
599C23×C79C2511yescharacteristic
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79C23×C412yes—
607D4×C79—44no—
608D4×C79—44no—
609D4×C79—44no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—82no—
641C2×C4×C79C23×C412yes—
642C2×C4×C79C23×C412yes—
643C2×C4×C79C23×C412yes—
644C22⋊D79—28no—
645C22⋊D79—44no—
646C22⋊D79—44no—
647C22⋊D79—44no—
648C2×Dic79—21no—
649C2×Dic79—21no—
650C2×Dic79—21no—
651C2×Dic79—21no—
652C2×Dic79—21no—
653C2×Dic79—21no—
654C2×Dic79—21no—
655C2×Dic79—21no—
656C2×Dic79—21no—
657C2×Dic79—21no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—28no—
661C2×Dic79—28no—
662C2×Dic79—28no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—44no—
688C2×Dic79—44no—
689C2×Dic79—44no—
690C2×Dic79—44no—
691C2×Dic79—82no—
692C2×Dic79C23×C412yes—
693C2×Dic79C23×C412yes—
694C2×Dic79C23×C412yes—
695C2×Dic79C23×C412yes—
696C2×Dic79C23×C412yes—
697C2×Dic79C23×C412yes—
698C2×Dic79C23×C412yes—
699C2×Dic79H(5,𝔽2)12yes—
700C2×Dic79H(5,𝔽2)12yes—
701C4×D79—44no—
702C4×D79—82no—
703C4×D79—82no—
704Dic158—28no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—22no—
712C22×C79—22no—
713C22×C79—22no—
714C22×C79—22no—
715C22×C79—22no—
716C22×C79—22no—
717C22×C79—416no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79C24×C411yescharacteristic
735C22×C79C2×H(5,𝔽2)11yescharacteristic
736C22×C79C2×H(5,𝔽2)11yescharacteristic
737C22×C79#58511yescharacteristic
738C22×C79#58511yescharacteristic
739C22×C79#58511yescharacteristic
740C22×C79#58511yescharacteristic
741C2×D79—22no—
742C2×D79—22no—
743C2×D79—22no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C4×C79—22no—
749C4×C79—22no—
750C4×C79—22no—
751C4×C79—41no—
752C4×C79—41no—
753C4×C79—41no—
754C4×C79—41no—
755C4×C79—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759Dic79—22no—
760Dic79—22no—
761Dic79—22no—
762Dic79—22no—
763Dic79—22no—
764Dic79—22no—
765Dic79—41no—
766Dic79—41no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79#51814yes—
774#34391—791nomaximal, Sylow
775C2×C79—42no—
776C2×C79—42no—
777C2×C79—42no—
778C2×C79—42no—
779C2×C79C2×#51811yescharacteristic
780C2×C79#342811yescharacteristic
781C2×C79#342811yescharacteristic
782C2×C79#353911yescharacteristic
783C2×C79#353911yescharacteristic
784C2×C79#354011yescharacteristic
785C2×C79#354011yescharacteristic
786D79—42no—
787C2×#525—791no—
788#2375—791no—
789#2375—791no—
790#2375—791no—
791#2375D7911yescharacteristic, complemented
792#2363—791no—
793#2363—791no—
794#2362—791no—
795#2362—791no—
796#2357—791no—
797#2357—791no—
798#2353—791no—
799#2353—791no—
800#2347—791no—
801#2346—791no—
802#2341—791no—
803#2339—791no—
804#2335—791no—
805#2335—791no—
806#2335—791no—
807#2335—791no—
808#2324—791no—
809#2324—791no—
810#2323—791no—
811#2323—791no—
812#2319—791no—
813#2319—791no—
814#2318—791no—
815#2318—791no—
816#2280—791no—
817#2280—791no—
818C79#3439111yescharacteristic, complemented, Sylow
819C22×#41—791no—
820C24×C4—791no—
821#525—7916no—
822C2×#123—791no—
823C2×#123—791no—
824C2×C22⋊Q8—791no—
825C2×C22⋊Q8—791no—
826C2×#121—791no—
827C2×#121—791no—
828C2×#120—791no—
829C2×#120C2×D7911yescharacteristic
830C2×C4×Q8—791no—
831C2×C4×Q8—791no—
832C2×C4×D4—791no—
833C2×C4×D4—791no—
834C2×C4×D4—791no—
835C2×C4×D4—791no—
836C2×C4×D4—791no—
837C2×C4×D4—791no—
838C2×#117—791no—
839C2×#117—791no—
840C2×#117—791no—
841C2×#117—791no—
842C2×#117—791no—
843#391—791no—
844#391—791no—
845#390—791no—
846#390—791no—
847#390—791no—
848#390—791no—
849#390—791no—
850#390—791no—
851#390—791no—
852#390—791no—
853#390—791no—
854#390—791no—
855#390—791no—
856#390C2×D7911yescharacteristic
857#390C2×D7911yescharacteristic
858#390C2×D7911yescharacteristic
859#389—791no—
860#389—791no—
861#389—791no—
862#389—791no—
863#389—791no—
864#389—791no—
865#389—791no—
866#389—791no—
867#388—791no—
868#388—791no—
869#388—791no—
870#388—791no—
871#388—791no—
872#388—791no—
873#388—791no—
874#388—791no—
875#388—791no—
876#388—791no—
877#388—791no—
878#388—791no—
879#388—791no—
880#388—791no—
881#388—791no—
882#388—791no—
883#388—791no—
884#388—791no—
885#388—791no—
886#388—791no—
887#388—791no—
888#388—791no—
889#388—791no—
890#388—791no—
891#388—791no—
892#388—791no—
893#388C2×D7911yescharacteristic
894#388C2×D7911yescharacteristic
895#388C2×D7911yescharacteristic
896#388C2×D7911yescharacteristic
897#388C2×D7911yescharacteristic
898#388C2×D7911yescharacteristic
899#387—791no—
900#387—791no—
901#387—791no—
902#387—791no—
903#387—791no—
904#387—791no—
905#387—791no—
906#387—791no—
907#386—791no—
908#386—791no—
909#386—791no—
910#386—791no—
911#386—791no—
912#386—791no—
913#386—791no—
914#386—791no—
915#386—791no—
916#386C2×D7911yescharacteristic
917#386C2×D7911yescharacteristic
918#386C2×D7911yescharacteristic
919#385—791no—
920#385—791no—
921#385—791no—
922#385—791no—
923#383—791no—
924#383—791no—
925#382—791no—
926#382—791no—
927#381—791no—
928#381—791no—
929#381—791no—
930#381—791no—
931#381—791no—
932#381—791no—
933#380—791no—
934#380—791no—
935#380—791no—
936#380—791no—
937#380—791no—
938#380—791no—
939#380—791no—
940#380—791no—
941#380—791no—
942#380—791no—
943#379—791no—
944#379—791no—
945#379C2×D7911yescharacteristic
946#379C2×D7911yescharacteristic
947C4×C4⋊C4—791no—
948C4×C4⋊C4—791no—
949C4×C4⋊C4—791no—
950C4×C4⋊C4—791no—
951C4×C4⋊C4—791no—
952C4×C4⋊C4—791no—
953C4×C4⋊C4—791no—
954C4×C4⋊C4—791no—
955C4×C4⋊C4—791no—
956C4×C4⋊C4—791no—
957C4×C22⋊C4—791no—
958C4×C22⋊C4—791no—
959C4×C22⋊C4—791no—
960C4×C22⋊C4—791no—
961C4×C22⋊C4—791no—
962C4×C22⋊C4—791no—
963C4×C22⋊C4—791no—
964C4×C22⋊C4—791no—
965C4×C22⋊C4—791no—
966C4×C22⋊C4—791no—
967C4×C22⋊C4—791no—
968C4×C22⋊C4—791no—
969C4×C22⋊C4—791no—
970C4×C22⋊C4—791no—
971#376—791no—
972#376—791no—
973C2×#95—791no—
974C2×#95—791no—
975C25C22×D7911yescharacteristic
976C2×#41—3162no—
977C2×#41—3162no—
978C2×#41—798no—
979C22×Q8—791no—
980C22×D4—791no—
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4C22×D7911yescharacteristic
985C22×D4C22×D7911yescharacteristic
986C22×D4C22×D7911yescharacteristic
987C23×C4—3162no—
988C23×C4—3162no—
989C23×C4—791no—
990C23×C4—791no—
991C23×C4—791no—
992C23×C4—798no—
993C23×C4—791no—
994C23×C4—791no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4C22×D7911yescharacteristic
1002#123—798no—
1003#123—798no—
1004C22⋊Q8—798no—
1005C22⋊Q8—798no—
1006#121—798no—
1007#121—798no—
1008#120—798no—
1009#120C4×D7918yescomplemented
1010C4×Q8—3162no—
1011C4×Q8—3162no—
1012C4×D4—3162no—
1013C4×D4—3162no—
1014C4×D4—798no—
1015C4×D4—798no—
1016C4×D4—798no—
1017C4×D4—798no—
1018#117—3162no—
1019#117—3162no—
1020#117—3162no—
1021#117—3162no—
1022#117—798no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C4⋊C4C22×D7911yescharacteristic
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C22⋊C4—791no—
1050C2×C22⋊C4—791no—
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4C22×D7911yescharacteristic
1078C2×C22⋊C4C22×D7911yescharacteristic
1079C2×C22⋊C4C22×D7911yescharacteristic
1080C2×C22⋊C4C22×D7911yescharacteristic
1081C2×C22⋊C4C22×D7911yescharacteristic
1082C2×C22⋊C4C22×D7911yescharacteristic
1083C2×C22⋊C4C22×D7911yescharacteristic
1084C2×C22⋊C4C22×D7911yescharacteristic
1085C2×C22⋊C4C22×D7911yescharacteristic
1086C2×C22⋊C4C22×D7911yescharacteristic
1087C2×C22⋊C4C22×D7911yescharacteristic
1088C2×C22⋊C4C22×D7911yescharacteristic
1089C2×C22⋊C4C22×D7911yescharacteristic
1090C2×C22⋊C4C22×D7911yescharacteristic
1091C2×C22⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4C22×D7911yescharacteristic
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C42—791no—
1096C2×C42—791no—
1097C2×C42—791no—
1098C2×C42—791no—
1099C2×C42—791no—
1100C2×C42—791no—
1101C2×C42—791no—
1102C2×C42—791no—
1103C2×C42—791no—
1104C2×C42—791no—
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—791no—
1114C2×C42C22×D7911yescharacteristic
1115C2×C42C22×D7911yescharacteristic
1116C2×C42C22×D7911yescharacteristic
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—791no—
1164C24C2×C4×D7914yes—
1165C24C23×D7911yescharacteristic
1166C24C23×D7911yescharacteristic
1167C24C23×D7911yescharacteristic
1168C24C23×D7911yescharacteristic
1169#41—31616no—
1170C2×Q8—794no—
1171C2×Q8—1582no—
1172C2×Q8—1582no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—3161no—
1180C2×D4—3161no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—3161no—
1185C2×D4—794no—
1186C2×D4—794no—
1187C2×D4—794no—
1188C2×D4—794no—
1189C2×D4—1582no—
1190C2×D4—1582no—
1191C2×D4C2×C4×D7914yes—
1192C2×D4C2×C4×D7914yes—
1193C2×D4C2×C4×D7914yes—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—3161no—
1198C22×C4—3161no—
1199C22×C4—3161no—
1200C22×C4—3161no—
1201C22×C4—3161no—
1202C22×C4—3161no—
1203C22×C4—3161no—
1204C22×C4—3161no—
1205C22×C4—3161no—
1206C22×C4—3161no—
1207C22×C4—3161no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—31616no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—794no—
1218C22×C4—794no—
1219C22×C4—794no—
1220C22×C4—794no—
1221C22×C4—794no—
1222C22×C4—791no—
1223C22×C4—791no—
1224C22×C4—791no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—794no—
1230C22×C4—794no—
1231C22×C4—794no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4—1582no—
1245C22×C4—1582no—
1246C22×C4C23×D7911yescharacteristic
1247C22×C4C23×D7911yescharacteristic
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—3161no—
1261C4⋊C4—3161no—
1262C4⋊C4—3161no—
1263C4⋊C4—3161no—
1264C4⋊C4—3161no—
1265C4⋊C4—3161no—
1266C4⋊C4—3161no—
1267C4⋊C4—3161no—
1268C4⋊C4—3161no—
1269C4⋊C4—3161no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—794no—
1274C4⋊C4—794no—
1275C4⋊C4—794no—
1276C4⋊C4—794no—
1277C4⋊C4—794no—
1278C4⋊C4—794no—
1279C4⋊C4—1582no—
1280C4⋊C4—1582no—
1281C4⋊C4—1582no—
1282C4⋊C4—1582no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—3161no—
1299C22⋊C4—3161no—
1300C22⋊C4—3161no—
1301C22⋊C4—3161no—
1302C22⋊C4—3161no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—3161no—
1307C22⋊C4—3161no—
1308C22⋊C4—3161no—
1309C22⋊C4—3161no—
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—794no—
1320C22⋊C4—794no—
1321C22⋊C4—794no—
1322C22⋊C4—794no—
1323C22⋊C4—794no—
1324C22⋊C4—794no—
1325C22⋊C4—794no—
1326C22⋊C4C2×C4×D7914yes—
1327C22⋊C4C2×C4×D7914yes—
1328C22⋊C4C2×C4×D7914yes—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—3161no—
1333C42—3161no—
1334C42—3161no—
1335C42—3161no—
1336C42—3161no—
1337C42—3161no—
1338C42—3161no—
1339C42—3161no—
1340C42—3161no—
1341C42—3161no—
1342C42—3161no—
1343C42—3161no—
1344C42—3161no—
1345C42—794no—
1346C42—794no—
1347C42—1582no—
1348C42—1582no—
1349C42—1582no—
1350C42—1582no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—792no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23C22×C4×D7912yes—
1390C23C22×C4×D7912yes—
1391C23C22×C4×D7912yes—
1392C23C22×C4×D7912yes—
1393C23C24×D7911yescharacteristic
1394Q8—1588no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—3164no—
1399D4—3164no—
1400D4—3164no—
1401D4—1588no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—82no—
1433C2×C4—3164no—
1434C2×C4—3164no—
1435C2×C4—3164no—
1436C2×C4—3164no—
1437C2×C4—3164no—
1438C2×C4—792no—
1439C2×C4—792no—
1440C2×C4—792no—
1441C2×C4—792no—
1442C2×C4—792no—
1443C2×C4—792no—
1444C2×C4—792no—
1445C2×C4—792no—
1446C2×C4—792no—
1447C2×C4—6322no—
1448C2×C4—6322no—
1449C2×C4—6322no—
1450C2×C4—1581no—
1451C2×C4—1581no—
1452C2×C4—1581no—
1453C2×C4—1581no—
1454C2×C4—1581no—
1455C2×C4—1581no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4—1581no—
1459C2×C4—1581no—
1460C2×C4—1581no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1588no—
1475C2×C4—1588no—
1476C2×C4—1588no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4C22×C4×D7912yes—
1490C2×C4C22×C4×D7912yes—
1491C2×C4C22×C4×D7912yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—1582no—
1526C22—1582no—
1527C22—1582no—
1528C22C23×C4×D7911yescharacteristic
1529C22H(5,𝔽2)×D7911yescharacteristic
1530C22H(5,𝔽2)×D7911yescharacteristic
1531C22#1909939811yescharacteristic
1532C22#1909939811yescharacteristic
1533C22#1909939811yescharacteristic
1534C22#1909939811yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—3161no—
1547C4—3161no—
1548C4—3161no—
1549C4—3161no—
1550C4—3161no—
1551C4—3161no—
1552C4—3161no—
1553C4—3161no—
1554C4—794no—
1555C4—1582no—
1556C4—1582no—
1557C4—1582no—
1558C4—1582no—
1559C4—1582no—
1560C4—1582no—
1561C2—42no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—3162no—
1566C2#518×D7911yescharacteristic
1567C2#2377659811yescharacteristic
1568C2#2377659811yescharacteristic
1569C2#2377765411yescharacteristic
1570C2#2377765411yescharacteristic
1571C2#2377766711yescharacteristic
1572C2#2377767311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2375C2
socle, cosocleC23×C79C25
prime radicalC2×#19099069C2
hypercenter#2375D79
hypocenterC79#34391
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2375

Complements

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

NH ≅ G/Ntype
2. #23766541C2semidirect
3. #23766539C2semidirect
4. #23766539C2semidirect
5. #23766441C2semidirect
6. #23766435C2semidirect
7. #23766430C2semidirect
8. #23766424C2semidirect
9. #23766372C2semidirect
10. #23766370C2semidirect
11. #23766338C2semidirect
12. #23766335C2semidirect
13. #23766290C2semidirect
14. #23766282C2semidirect
15. #23766239C2semidirect
16. #23766226C2semidirect
17. #23766195C2semidirect
18. #23766191C2semidirect
19. #23766187C2semidirect
20. #23766183C2semidirect
21. #23766090C2semidirect
22. #23766086C2semidirect
23. #23766079C2semidirect
24. #23766075C2semidirect
25. #23766041C2semidirect
26. #23766037C2semidirect
27. #23766030C2semidirect
28. #23766026C2semidirect
29. #23765778C2semidirect
30. #23765778C2semidirect
31. C79×#2375C2semidirect
34. #19099069C4semidirect
42. C2×C4×Dic158C22semidirect
43. C2×#14579126C22semidirect
46. C2×C4×C22⋊D79C22semidirect
49. C2×(C22⋊D79)⋊C4C22semidirect
55. #19098467C22semidirect
56. #19098467C22semidirect
66. #19098463C22semidirect
67. #19098463C22semidirect
68. #19098461C22semidirect
69. #19098460C22semidirect
70. #19098460C22semidirect
71. #19098460C22semidirect
72. #19098459C22semidirect
73. #19098458C22semidirect
74. #19098458C22semidirect
75. #19098458C22semidirect
82. #19098457C22semidirect
83. #19098457C22semidirect
90. #19098455C22semidirect
91. #19098454C22semidirect
92. #19098453C22semidirect
93. #19098452C22semidirect
100. #19098451C22semidirect
101. #19098451C22semidirect
102. #19098450C22semidirect
103. #19098448C22semidirect
104. #19098448C22semidirect
105. #19098447C22semidirect
106. #19098446C22semidirect
107. #19098446C22semidirect
108. #19098445C22semidirect
109. #19098444C22semidirect
119. #19098437C22semidirect
120. #19098436C22semidirect
121. #19098435C22semidirect
122. #19098434C22semidirect
123. #19098430C22semidirect
124. #19098430C22semidirect
125. #19098428C22semidirect
126. #19098427C22semidirect
127. #19098425C22semidirect
132. #19098424C22semidirect
141. #19098421C22semidirect
142. #19098420C22semidirect
145. C4⋊C4×Dic79C22semidirect
146. C4⋊C4×Dic79C22semidirect
147. C4×Dic79⋊C4C22semidirect
148. C4×Dic79⋊C4C22semidirect
149. C4×Dic79⋊C4C22semidirect
150. C4×Dic79⋊C4C22semidirect
151. C4×C4⋊Dic79C22semidirect
152. #19098414C22semidirect
153. #19098414C22semidirect
154. #19098414C22semidirect
163. C22⋊C4×Dic79C22semidirect
164. C22⋊C4×Dic79C22semidirect
165. C4×(C2×D79)⋊C4C22semidirect
166. C4×(C2×D79)⋊C4C22semidirect
167. C4×C22⋊Dic79C22semidirect
168. #19098410C22semidirect
169. #19098409C22semidirect
170. #19098408C22semidirect
171. C2×C79⋊#95C22semidirect
172. #95×D79C22semidirect
198. C23×Dic79C2×C4semidirect
210. #14579145C2×C4semidirect
211. #14579142C2×C4semidirect
212. #14579138C2×C4semidirect
213. #14579138C2×C4semidirect
216. #14579130C2×C4semidirect
219. D4×Dic79C2×C4semidirect
220. D4×Dic79C2×C4semidirect
223. (C22⋊D79)⋊C4C2×C4semidirect
224. (C22⋊D79)⋊C4C2×C4semidirect
229. #14579117C2×C4semidirect
339. #120×C79C2×C4semidirect
791. #2375D79semidirect
818. C79#34391semidirect
1009. #120C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990692
#237665412
#237665392
#237664412
#237664352
#237664302
#237664242
#237663722
#237663702
#237663382
#237663352
#237662902
#237662822
#237662392
#237662262
#237661952
#237661912
#237661872
#237661832
#237660902
#237660862
#237660792
#237660752
#237660412
#237660372
#237660302
#237660262
#237657782
C79×#23752
#3439179