Finite Group Databasebeta

← #34497140

Subgroups — #34497140

Order 20224.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771693C211yesmaximal, characteristic, complemented
2#23771684C211yesmaximal, characteristic, complemented
3#23771245C211yesmaximal, characteristic, complemented
4#23770785C211yesmaximal, characteristic, complemented
5#23770742C211yesmaximal, characteristic, complemented
6#23770655C211yesmaximal, characteristic, complemented
7#23770455C211yesmaximal, characteristic, complemented
8#23770395C211yesmaximal, characteristic, complemented
9#23770326C211yesmaximal, characteristic, complemented
10#23770213C211yesmaximal, characteristic, complemented
11#23770170C211yesmaximal, characteristic, complemented
12#23770136C211yesmaximal, characteristic, complemented
13#23770077C211yesmaximal, characteristic, complemented
14#23770018C211yesmaximal, characteristic, complemented
15#23769887C211yesmaximal, characteristic, complemented
16#23769807C211yesmaximal, characteristic, complemented
17#23769647C211yesmaximal, characteristic, complemented
18#23769210C211yesmaximal, characteristic, complemented
19#23769174C211yesmaximal, characteristic, complemented
20#23768581C211yesmaximal, characteristic, complemented
21#23768409C211yesmaximal, characteristic, complemented
22#23767647C211yesmaximal, characteristic, complemented
23#23767644C211yesmaximal, characteristic, complemented
24#23767530C211yesmaximal, characteristic, complemented
25#23767529C211yesmaximal, characteristic, complemented
26#23767048C211yesmaximal, characteristic, complemented
27#23766751C211yesmaximal, characteristic
28#23766132C211yesmaximal, characteristic, complemented
29#23766032C211yesmaximal, characteristic, complemented
30#386×D79C211yesmaximal, characteristic, complemented
31C79×#2700C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579154C2211yescharacteristic, complemented
36C2×#14579150C2211yescharacteristic
37C2×#14579150C2211yescharacteristic, complemented
38C2×#14579149C2211yescharacteristic, complemented
39C2×#14579145C2211yescharacteristic, complemented
40C2×#14579144C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic
42C2×#14579137C2211yescharacteristic
43C2×#14579137C2211yescharacteristic
44C2×#14579137C2211yescharacteristic, complemented
45C2×#14579134C2211yescharacteristic
46C2×#14579134C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579123C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C2×C22⋊C4×D79C2211yescharacteristic
52C2×C22⋊C4×D79C2211yescharacteristic
53#19098502C2211yescharacteristic, complemented
54#19098500C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic, complemented
56#19098498C2211yescharacteristic, complemented
57#19098497C2211yescharacteristic, complemented
58#19098494C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098492C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098492C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098490C2211yescharacteristic, complemented
65#19098490C2211yescharacteristic, complemented
66#19098490C2211yescharacteristic, complemented
67#19098488C2211yescharacteristic, complemented
68#19098488C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic, complemented
72#19098485C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098484C2211yescharacteristic, complemented
75#19098482C2211yescharacteristic, complemented
76#19098481C2211yescharacteristic, complemented
77#19098481C2211yescharacteristic, complemented
78#19098480C2211yescharacteristic
79#19098480C2211yescharacteristic, complemented
80#19098480C2211yescharacteristic, complemented
81#19098479C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic, complemented
88#19098478C2211yescharacteristic, complemented
89#19098476C2211yescharacteristic, complemented
90#19098475C2211yescharacteristic, complemented
91#19098475C2211yescharacteristic, complemented
92#19098474C2211yescharacteristic, complemented
93#19098473C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098470C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098466C2211yescharacteristic
98#19098465C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic, complemented
102#19098463C2211yescharacteristic, complemented
103#19098461C2211yescharacteristic, complemented
104#19098460C2211yescharacteristic, complemented
105#19098460C2211yescharacteristic, complemented
106#19098458C2211yescharacteristic, complemented
107#19098457C2211yescharacteristic, complemented
108#19098456C2211yescharacteristic, complemented
109#19098456C2211yescharacteristic, complemented
110#19098455C2211yescharacteristic, complemented
111#19098455C2211yescharacteristic, complemented
112#19098455C2211yescharacteristic, complemented
113#19098454C2211yescharacteristic, complemented
114#19098454C2211yescharacteristic, complemented
115#19098452C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic, complemented
117#19098449C2211yescharacteristic, complemented
118#19098448C2211yescharacteristic, complemented
119#19098447C2211yescharacteristic, complemented
120#19098446C2211yescharacteristic, complemented
121#19098446C2211yescharacteristic, complemented
122#19098446C2211yescharacteristic, complemented
123#19098445C2211yescharacteristic, complemented
124#19098443C2211yescharacteristic
125#19098442C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic, complemented
133#19098441C2211yescharacteristic, complemented
134#19098440C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098437C2211yescharacteristic
138#19098437C2211yescharacteristic
139#19098437C2211yescharacteristic
140#19098437C2211yescharacteristic
141#19098437C2211yescharacteristic, complemented
142#19098437C2211yescharacteristic, complemented
143#19098435C2211yescharacteristic, complemented
144#19098435C2211yescharacteristic, complemented
145#19098434C2211yescharacteristic
146#19098434C2211yescharacteristic
147#19098434C2211yescharacteristic, complemented
148#19098434C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098430C2211yescharacteristic, complemented
152#19098427C2211yescharacteristic, complemented
153#19098425C2211yescharacteristic, complemented
154#19098424C2211yescharacteristic, complemented
155#19098423C2211yescharacteristic, complemented
156#19098422C2211yescharacteristic
157#19098420C2211yescharacteristic
158#19098420C2211yescharacteristic
159#19098420C2211yescharacteristic, complemented
160#19098420C2211yescharacteristic, complemented
161#19098418C2211yescharacteristic
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167C4×(C2×D79)⋊C4C2211yescharacteristic
168C4×(C2×D79)⋊C4C2211yescharacteristic
169#19098410C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172C2×#124×C79C2211yescharacteristic
173C2×C22⋊Q8×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#396×C79C2211yescharacteristic, complemented
177#395×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#391×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#387×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic
186#381×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C2×D4×D79—24no—
199C2×D4×D79—42no—
200C2×D4×D79—42no—
201C23×Dic79C2311yescharacteristic
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79—42no—
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213#14579156—42no—
214#14579154—42no—
215#14579150—42no—
216#14579150—42no—
217#14579149—42no—
218#14579145—42no—
219#14579144—42no—
220#14579139—42no—
221#14579137—24no—
222#14579137—42no—
223#14579137—42no—
224#14579134—42no—
225#14579134—42no—
226#14579131—42no—
227#14579131—42no—
228#14579123—24no—
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
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
296C22⋊C4×D79—42no—
297C22⋊C4×D79—42no—
298C22⋊C4×D79—42no—
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
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
332C22×Q8×C79C2311yescharacteristic
333C22×Q8×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#124×C79—42no—
337C22⋊Q8×C79—42no—
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊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×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—22no—
375C23×D79—22no—
376C23×D79—22no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C23×D79C2411yescharacteristic
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—22no—
394C2×D316—22no—
395C2×D316—22no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414D4×D79—416no—
415C22×Dic79—22no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
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—416no—
454C2×C4×D79#4114yes—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
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—
522C4×Dic79—22no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C24×C79C2411yescharacteristic
528C24×C79C2411yescharacteristic
529C2×Q8×C79—22no—
530C2×Q8×C79—22no—
531C2×Q8×C79—41no—
532C2×Q8×C79—41no—
533C2×Q8×C79—41no—
534C2×Q8×C79—41no—
535C2×D4×C79—22no—
536C2×D4×C79—22no—
537C2×D4×C79—41no—
538C22×C4×C79—22no—
539C22×C4×C79—22no—
540C22×C4×C79—41no—
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C4⋊C4×C79—22no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C42×C79—41no—
572C42×C79—41no—
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×C79H(5,𝔽2)12yes—
587C23×C79C2511yescharacteristic
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—28no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
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—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—44no—
620C22×D79—44no—
621C22×D79—44no—
622C22×D79—82no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79C2×#4112yes—
627C22×D79H(5,𝔽2)12yes—
628C22×D79H(5,𝔽2)12yes—
629C22×D792−1+412yes—
630Q8×C79—82no—
631Q8×C79—82no—
632D4×C79—44no—
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—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—44no—
671C2×C4×C79C2×#4112yes—
672C2×C4×C79H(5,𝔽2)12yes—
673C22⋊D79—44no—
674C22⋊D79—44no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—44no—
713C2×Dic79C2×#4112yes—
714D316—44no—
715D316—44no—
716D316—82no—
717D316—82no—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—82no—
724C4×D79—82no—
725C4×D79—82no—
726Dic158—82no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79C22×#4111yescharacteristic
742C22×C79C2×H(5,𝔽2)11yescharacteristic
743C22×C79C2×H(5,𝔽2)11yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×H(5,𝔽2)11yescharacteristic
746C22×C79C2×2−1+411yescharacteristic
747C22×C79#58511yescharacteristic
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—416no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—88no—
777C2×D79#54214yes—
778C4×C79—22no—
779C4×C79—22no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803#36793—791nomaximal, Sylow
804C2×C79—42no—
805C2×C79—81no—
806C2×C79C2×#54211yescharacteristic
807C2×C79#349011yescharacteristic
808C2×C79#350611yescharacteristic
809C2×C79#353211yescharacteristic
810C2×C79#353411yescharacteristic
811C2×C79#353511yescharacteristic
812C2×C79#353611yescharacteristic
813D79—24no—
814D79—42no—
815D79—81no—
816D79—81no—
817#2849—791no—
818#2848—791no—
819#2796—791no—
820#2761—791no—
821#2757—791no—
822#2751—791no—
823#2737—791no—
824#2730—791no—
825#2723—791no—
826#2715—791no—
827#2712—791no—
828#2710—791no—
829#2705—791no—
830#2701—791no—
831#2700D7911yescharacteristic, complemented
832#2691—791no—
833#2686—791no—
834#2672—791no—
835#2626—791no—
836#2622—791no—
837#2564—791no—
838#2549—791no—
839#2480—791no—
840#2480—791no—
841#2472—791no—
842#2472—791no—
843#2435—791no—
844#2408—791no—
845#2329—791no—
846#2318—791no—
847C2×#386—791no—
848C79#3679311yescharacteristic, complemented, Sylow
849C23×D4—791no—
850C24×C4—791no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#124—791no—
854C2×#124—791no—
855C2×#124—791no—
856C2×#124C2×D7911yescharacteristic
857C2×#123—791no—
858C2×#123—791no—
859C2×C22⋊Q8—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8C2×D7911yescharacteristic, complemented
864C2×#121—791no—
865C2×#121—791no—
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872#400—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#398—791no—
877#398—791no—
878#397—791no—
879#397—791no—
880#397—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397C2×D7911yescharacteristic, complemented
889#397C2×D7911yescharacteristic, complemented
890#396—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396C2×D7911yescharacteristic, complemented
896#395—791no—
897#395—791no—
898#395C2×D7911yescharacteristic, complemented
899#394—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394C2×D7911yescharacteristic
913#393—791no—
914#393—791no—
915#393—791no—
916#393—791no—
917#393C2×D7911yescharacteristic, complemented
918#392—791no—
919#392—791no—
920#391—791no—
921#391—791no—
922#391C2×D7911yescharacteristic, complemented
923#391C2×D7911yescharacteristic, complemented
924#390—791no—
925#390—791no—
926#390—791no—
927#390—791no—
928#390—791no—
929#390—791no—
930#389—791no—
931#389—791no—
932#389—791no—
933#389—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388C2×D7911yescharacteristic, complemented
945#388C2×D7911yescharacteristic, complemented
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387C2×D7911yescharacteristic, complemented
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#386C2×D7911yescharacteristic
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#383—791no—
983#382—791no—
984#381—791no—
985#381—791no—
986#381C2×D7911yescharacteristic, complemented
987#380—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#379—791no—
994#379—791no—
995#379—791no—
996#379—791no—
997#379—791no—
998#379—791no—
999C4×C22⋊C4—791no—
1000C4×C22⋊C4—791no—
1001C4×C22⋊C4—791no—
1002C2×#95—791no—
1003C2×#95—791no—
1004C25—791no—
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8C22×D7911yescharacteristic
1008C22×Q8C22×D7911yescharacteristic
1009C22×D4—3162no—
1010C22×D4—3162no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—1584no—
1020C22×D4C22×D7911yescharacteristic
1021C23×C4—3162no—
1022C23×C4—3162no—
1023C23×C4—3162no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4—791no—
1033C23×C4C22×D7911yescharacteristic
1034#126—3162no—
1035#126—3162no—
1036#124—42no—
1037#124—3162no—
1038#124—3162no—
1039#124—3162no—
1040#123—3162no—
1041#123—3162no—
1042C22⋊Q8—42no—
1043C22⋊Q8—3162no—
1044C22⋊Q8—3162no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—1584no—
1047#121—3162no—
1048#121—3162no—
1049#120—3162no—
1050#120—3162no—
1051C4×D4—1584no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C42—791no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42C22×D7911yescharacteristic
1145C2×C42C22×D7911yescharacteristic
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95C22×D7911yescharacteristic
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186C24—3161no—
1187C24—3161no—
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—3161no—
1192C24—791no—
1193C24—791no—
1194C24—791no—
1195C24—791no—
1196C24—1582no—
1197C24—1582no—
1198C24—1582no—
1199C24—1582no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24—1582no—
1204C24C23×D7911yescharacteristic
1205C24C23×D7911yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—41no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—3161no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—31616no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C2×D4—1582no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—31616no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—794no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—1582no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—3161no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C42—41no—
1384C42—41no—
1385C42—3161no—
1386C42—3161no—
1387C42—3161no—
1388C42—3161no—
1389C42—1582no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—3164no—
1404C23—3164no—
1405C23—3164no—
1406C23—3164no—
1407C23—3164no—
1408C23—3164no—
1409C23—3164no—
1410C23—3164no—
1411C23—3164no—
1412C23—792no—
1413C23—792no—
1414C23—792no—
1415C23—792no—
1416C23—6322no—
1417C23—6322no—
1418C23—6322no—
1419C23—6322no—
1420C23—1588no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23#1457920612yes—
1446C23C24×D7911yescharacteristic
1447Q8—82no—
1448Q8—82no—
1449Q8—6322no—
1450D4—44no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—3164no—
1501C2×C4—3164no—
1502C2×C4—3164no—
1503C2×C4—792no—
1504C2×C4—6322no—
1505C2×C4—6322no—
1506C2×C4—6322no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4#41×D7912yes—
1543C2×C4#1457920712yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—31616no—
1559C22—3161no—
1560C22—3161no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—794no—
1578C22—6328no—
1579C22—1582no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22C2×#41×D7911yescharacteristic
1589C22H(5,𝔽2)×D7911yescharacteristic
1590C22H(5,𝔽2)×D7911yescharacteristic
1591C22C2×#1457920611yescharacteristic
1592C22C2×#1457920711yescharacteristic
1593C222−1+4×D7911yescharacteristic
1594C22#1909940011yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—1582no—
1620C2—42no—
1621C2—81no—
1622C2—3162no—
1623C2—6321no—
1624C2—6321no—
1625C2—1584no—
1626C2#542×D7911yescharacteristic
1627C2#2377708211yescharacteristic
1628C2#2377725311yescharacteristic
1629C2#2377754911yescharacteristic
1630C2#2377759211yescharacteristic
1631C2#2377759911yescharacteristic
1632C2#2377762511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2700C2
prime radical#23766751C2
hypercenter#2700D79
hypocenterC79#36793
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2700

Complements

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

NH ≅ G/Ntype
1. #23771693C2semidirect
2. #23771684C2semidirect
3. #23771245C2semidirect
4. #23770785C2semidirect
5. #23770742C2semidirect
6. #23770655C2semidirect
7. #23770455C2semidirect
8. #23770395C2semidirect
9. #23770326C2semidirect
10. #23770213C2semidirect
11. #23770170C2semidirect
12. #23770136C2semidirect
13. #23770077C2semidirect
14. #23770018C2semidirect
15. #23769887C2semidirect
16. #23769807C2semidirect
17. #23769647C2semidirect
18. #23769210C2semidirect
19. #23769174C2semidirect
20. #23768581C2semidirect
21. #23768409C2semidirect
22. #23767647C2semidirect
23. #23767644C2semidirect
24. #23767530C2semidirect
25. #23767529C2semidirect
26. #23767048C2semidirect
28. #23766132C2semidirect
29. #23766032C2semidirect
30. #386×D79C2semidirect
31. C79×#2700C2semidirect
34. C2×#14579156C22semidirect
35. C2×#14579154C22semidirect
37. C2×#14579150C22semidirect
38. C2×#14579149C22semidirect
39. C2×#14579145C22semidirect
40. C2×#14579144C22semidirect
44. C2×#14579137C22semidirect
53. #19098502C22semidirect
54. #19098500C22semidirect
55. #19098499C22semidirect
56. #19098498C22semidirect
57. #19098497C22semidirect
58. #19098494C22semidirect
59. #19098492C22semidirect
60. #19098492C22semidirect
61. #19098492C22semidirect
62. #19098492C22semidirect
63. #19098491C22semidirect
64. #19098490C22semidirect
65. #19098490C22semidirect
66. #19098490C22semidirect
67. #19098488C22semidirect
68. #19098488C22semidirect
69. #19098486C22semidirect
70. #19098486C22semidirect
71. #19098485C22semidirect
72. #19098485C22semidirect
73. #19098485C22semidirect
74. #19098484C22semidirect
75. #19098482C22semidirect
76. #19098481C22semidirect
77. #19098481C22semidirect
79. #19098480C22semidirect
80. #19098480C22semidirect
81. #19098479C22semidirect
82. #19098479C22semidirect
87. #19098478C22semidirect
88. #19098478C22semidirect
89. #19098476C22semidirect
90. #19098475C22semidirect
91. #19098475C22semidirect
92. #19098474C22semidirect
95. #19098470C22semidirect
96. #19098467C22semidirect
101. #19098463C22semidirect
102. #19098463C22semidirect
103. #19098461C22semidirect
104. #19098460C22semidirect
105. #19098460C22semidirect
106. #19098458C22semidirect
107. #19098457C22semidirect
108. #19098456C22semidirect
109. #19098456C22semidirect
110. #19098455C22semidirect
111. #19098455C22semidirect
112. #19098455C22semidirect
113. #19098454C22semidirect
114. #19098454C22semidirect
115. #19098452C22semidirect
116. #19098452C22semidirect
117. #19098449C22semidirect
118. #19098448C22semidirect
119. #19098447C22semidirect
120. #19098446C22semidirect
121. #19098446C22semidirect
122. #19098446C22semidirect
123. #19098445C22semidirect
132. #19098441C22semidirect
133. #19098441C22semidirect
141. #19098437C22semidirect
142. #19098437C22semidirect
143. #19098435C22semidirect
144. #19098435C22semidirect
147. #19098434C22semidirect
148. #19098434C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
151. #19098430C22semidirect
152. #19098427C22semidirect
153. #19098425C22semidirect
154. #19098424C22semidirect
155. #19098423C22semidirect
159. #19098420C22semidirect
160. #19098420C22semidirect
173. C2×C22⋊Q8×C79C22semidirect
174. #397×C79C22semidirect
175. #397×C79C22semidirect
176. #396×C79C22semidirect
177. #395×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #391×C79C22semidirect
182. #388×C79C22semidirect
183. #388×C79C22semidirect
184. #387×C79C22semidirect
186. #381×C79C22semidirect
831. #2700D79semidirect
848. C79#36793semidirect
863. C2×C22⋊Q8C2×D79semidirect
888. #397C2×D79semidirect
889. #397C2×D79semidirect
895. #396C2×D79semidirect
898. #395C2×D79semidirect
917. #393C2×D79semidirect
922. #391C2×D79semidirect
923. #391C2×D79semidirect
944. #388C2×D79semidirect
945. #388C2×D79semidirect
953. #387C2×D79semidirect
986. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716932
#237716842
#237712452
#237707852
#237707422
#237706552
#237704552
#237703952
#237703262
#237702132
#237701702
#237701362
#237700772
#237700182
#237698872
#237698072
#237696472
#237692102
#237691742
#237685812
#237684092
#237676472
#237676442
#237675302
#237675292
#237670482
#237667512
#237661322
#237660322
#386×D792
C79×#27002
#3679379