Finite Group Databasebeta

← #34495142

Subgroups — #34495142

Order 20224.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099183C211yesmaximal, characteristic, complemented
2C2×#19099072C211yesmaximal, characteristic, complemented
3#23771695C211yesmaximal, characteristic, complemented
4#23771686C211yesmaximal, characteristic, complemented
5#23769943C211yesmaximal, characteristic, complemented
6#23769932C211yesmaximal, characteristic, complemented
7#23769889C211yesmaximal, characteristic, complemented
8#23769878C211yesmaximal, characteristic, complemented
9#23769844C211yesmaximal, characteristic, complemented
10#23769803C211yesmaximal, characteristic, complemented
11#23769784C211yesmaximal, characteristic, complemented
12#23769777C211yesmaximal, characteristic, complemented
13#23769709C211yesmaximal, characteristic, complemented
14#23769702C211yesmaximal, characteristic, complemented
15#23769674C211yesmaximal, characteristic, complemented
16#23769674C211yesmaximal, characteristic, complemented
17#23769652C211yesmaximal, characteristic, complemented
18#23769633C211yesmaximal, characteristic, complemented
19#23769620C211yesmaximal, characteristic, complemented
20#23769605C211yesmaximal, characteristic, complemented
21#23769324C211yesmaximal, characteristic, complemented
22#23769249C211yesmaximal, characteristic, complemented
23#23769079C211yesmaximal, characteristic, complemented
24#23769012C211yesmaximal, characteristic, complemented
25#23768975C211yesmaximal, characteristic, complemented
26#23768965C211yesmaximal, characteristic, complemented
27#23768757C211yesmaximal, characteristic, complemented
28#23767029C211yesmaximal, characteristic, complemented
29#23767010C211yesmaximal, characteristic, complemented
30#23766034C211yesmaximal, characteristic, complemented
31C79×#2564C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099183—28no—
35C2×#14579159C2211yescharacteristic, complemented
36C2×#14579159C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic
38C2×#14579154C2211yescharacteristic, complemented
39C2×#14579150C2211yescharacteristic
40C2×#14579150C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic, complemented
43#19099072—28no—
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic
46C2×#14579146C2211yescharacteristic
47C2×#14579144C2211yescharacteristic, complemented
48C2×#14579143C2211yescharacteristic
49C2×#14579139C2211yescharacteristic
50C2×#14579139C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579139C2211yescharacteristic, complemented
53C2×#14579138C2211yescharacteristic
54C2×#14579138C2211yescharacteristic
55C2×#14579135C2211yescharacteristic
56C2×#14579135C2211yescharacteristic, complemented
57C2×#14579134C2211yescharacteristic
58C2×#14579134C2211yescharacteristic
59C2×#14579133C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579129C2211yescharacteristic
63C2×#14579126C2211yescharacteristic, complemented
64C2×C4×D316C2211yescharacteristic
65C2×C4×C22⋊D79C2211yescharacteristic
66C2×C4×C22⋊D79C2211yescharacteristic
67C2×#14579119C2211yescharacteristic, complemented
68C2×#14579118C2211yescharacteristic
69#19098505C2211yescharacteristic, complemented
70#19098499C2211yescharacteristic
71#19098498C2211yescharacteristic, complemented
72#19098498C2211yescharacteristic, complemented
73#19098497C2211yescharacteristic, complemented
74#19098497C2211yescharacteristic, complemented
75#19098497C2211yescharacteristic, complemented
76#19098496C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic
78#19098492C2211yescharacteristic
79#19098492C2211yescharacteristic
80#19098492C2211yescharacteristic, complemented
81#19098491C2211yescharacteristic, complemented
82#19098490C2211yescharacteristic
83#19098487C2211yescharacteristic, complemented
84#19098487C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic, complemented
87#19098484C2211yescharacteristic, complemented
88#19098484C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic
92#19098481C2211yescharacteristic
93#19098481C2211yescharacteristic
94#19098481C2211yescharacteristic, complemented
95#19098480C2211yescharacteristic
96#19098480C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic, complemented
101#19098478C2211yescharacteristic, complemented
102#19098478C2211yescharacteristic, complemented
103#19098477C2211yescharacteristic
104#19098476C2211yescharacteristic
105#19098476C2211yescharacteristic, complemented
106#19098476C2211yescharacteristic, complemented
107#19098476C2211yescharacteristic, complemented
108#19098475C2211yescharacteristic
109#19098473C2211yescharacteristic
110#19098473C2211yescharacteristic
111#19098472C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098468C2211yescharacteristic, complemented
114#19098464C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098460C2211yescharacteristic, complemented
119#19098458C2211yescharacteristic, complemented
120#19098458C2211yescharacteristic, complemented
121#19098457C2211yescharacteristic
122#19098457C2211yescharacteristic
123#19098454C2211yescharacteristic, complemented
124#19098453C2211yescharacteristic
125#19098453C2211yescharacteristic, complemented
126#19098453C2211yescharacteristic, complemented
127#19098452C2211yescharacteristic
128#19098452C2211yescharacteristic
129#19098452C2211yescharacteristic
130#19098452C2211yescharacteristic
131#19098447C2211yescharacteristic, complemented
132#19098446C2211yescharacteristic, complemented
133#19098445C2211yescharacteristic, complemented
134#19098445C2211yescharacteristic, complemented
135#19098445C2211yescharacteristic, complemented
136#19098445C2211yescharacteristic, complemented
137#19098442C2211yescharacteristic
138#19098442C2211yescharacteristic
139#19098442C2211yescharacteristic
140#19098442C2211yescharacteristic
141#19098442C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic, complemented
147#19098440C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098437C2211yescharacteristic
150#19098437C2211yescharacteristic
151#19098437C2211yescharacteristic, complemented
152#19098436C2211yescharacteristic
153#19098436C2211yescharacteristic, complemented
154#19098436C2211yescharacteristic, complemented
155#19098435C2211yescharacteristic
156#19098434C2211yescharacteristic
157#19098434C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic
160#19098434C2211yescharacteristic, complemented
161#19098434C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic, complemented
163#19098430C2211yescharacteristic, complemented
164#19098427C2211yescharacteristic, complemented
165#19098425C2211yescharacteristic
166#19098425C2211yescharacteristic
167#19098422C2211yescharacteristic
168#19098422C2211yescharacteristic
169#19098421C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172#19098418C2211yescharacteristic
173C4×C22⋊Dic79C2211yescharacteristic, complemented
174C2×C22⋊Q8×C79C2211yescharacteristic, complemented
175C2×C4×D4×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#399×C79C2211yescharacteristic
178#395×C79C2211yescharacteristic, complemented
179#393×C79C2211yescharacteristic
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#380×C79C2211yescharacteristic, complemented
187#380×C79C2211yescharacteristic, complemented
188C2×#95×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929624—24no—
191C2×#11929624—42no—
192C2×#11929624—42no—
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×Dic158C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C22×C4×D79—24no—
209C22×C4×D79—42no—
210C22×C4×D79—42no—
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217#14579159—24no—
218#14579159—42no—
219#14579156—24no—
220#14579154—24no—
221#14579150—24no—
222#14579150—42no—
223#14579147—24no—
224#14579147—24no—
225#14579146—24no—
226#14579146—24no—
227#14579146—42no—
228#14579144—24no—
229#14579143—24no—
230#14579139—24no—
231#14579139—24no—
232#14579139—24no—
233#14579139—42no—
234#14579138—24no—
235#14579138—42no—
236#14579135—42no—
237#14579135—42no—
238#14579134—24no—
239#14579134—24no—
240#14579133—24no—
241#14579131—24no—
242#14579131—42no—
243#14579129—24no—
244#14579126—24no—
245C4×D316—24no—
246C4×C22⋊D79—24no—
247C4×C22⋊D79D418yescomplemented
248#14579119—24no—
249#14579118—24no—
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
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
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
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
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×Q8×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354C22⋊Q8×C79—24no—
355C4×D4×C79—24no—
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C42×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395C23×D79C2411yescharacteristic
396#11929624—416no—
397C2×Dic158—22no—
398C2×Dic158—22no—
399C2×Dic158—22no—
400C2×Dic158—22no—
401C2×Dic158—41no—
402C2×Dic158—41no—
403C2×Dic158—41no—
404C2×Dic158—41no—
405C2×Dic158—41no—
406C2×D316—22no—
407C2×D316—22no—
408C2×D316—22no—
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—41no—
412C2×D316—41no—
413C2×D316—41no—
414C2×D316—41no—
415C2×D316—41no—
416C2×D316—41no—
417C2×D316—41no—
418C2×D316—41no—
419C2×D316—41no—
420C2×D316—41no—
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—22no—
428C2×C22⋊D79—22no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C2×C22⋊D79—41no—
436C2×C22⋊D79—41no—
437C2×C22⋊D79—41no—
438C2×C22⋊D79C2×D414yes—
439C22×Dic79—22no—
440C22×Dic79—22no—
441C22×Dic79—41no—
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
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—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—41no—
471C2×C4×D79—416no—
472C2×C4×D79C2×D414yes—
473C4⋊Dic79—22no—
474C4⋊Dic79—22no—
475C4⋊Dic79—22no—
476C4⋊Dic79—41no—
477Dic79⋊C4—22no—
478Dic79⋊C4—22no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—41no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4—41no—
491Dic79⋊C4—41no—
492Dic79⋊C4—41no—
493Dic79⋊C4—41no—
494Dic79⋊C4—41no—
495Dic79⋊C4—41no—
496Dic79⋊C4C2×D414yes—
497C22⋊Dic79—22no—
498C22⋊Dic79—22no—
499C22⋊Dic79—22no—
500C22⋊Dic79—41no—
501C22⋊Dic79—41no—
502C22⋊Dic79—41no—
503C22⋊Dic79—41no—
504C22⋊Dic79C2×D414yes—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4C2×D414yes—
541C4×Dic79—22no—
542C4×Dic79—22no—
543C4×Dic79—22no—
544C4×Dic79—41no—
545C4×Dic79—41no—
546C4×Dic79C2×D414yes—
547C24×C79C2411yescharacteristic
548C24×C79C2411yescharacteristic
549C2×Q8×C79—22no—
550C2×Q8×C79—41no—
551C2×Q8×C79—41no—
552C2×D4×C79—22no—
553C2×D4×C79—22no—
554C2×D4×C79—41no—
555C22×C4×C79—22no—
556C22×C4×C79—41no—
557C22×C4×C79—41no—
558C22×C4×C79—41no—
559C22×C4×C79—41no—
560C22×C4×C79—41no—
561C22×C4×C79—41no—
562C22×C4×C79—41no—
563C22×C4×C79—41no—
564C22×C4×C79—41no—
565C22×C4×C79—41no—
566C22×C4×C79C2×D414yes—
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C4⋊C4×C79—22no—
581C4⋊C4×C79—22no—
582C4⋊C4×C79—22no—
583C4⋊C4×C79—22no—
584C4⋊C4×C79—41no—
585C4⋊C4×C79—41no—
586C4⋊C4×C79—41no—
587C4⋊C4×C79—41no—
588C22⋊C4×C79—22no—
589C22⋊C4×C79—22no—
590C22⋊C4×C79—22no—
591C22⋊C4×C79—22no—
592C22⋊C4×C79—41no—
593C22⋊C4×C79—41no—
594C22⋊C4×C79—41no—
595C22⋊C4×C79—41no—
596C42×C79—22no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79C22×D412yes—
610C23×C792−1+412yes—
611C23×C79C2511yescharacteristic
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—44no—
642C22×D79—44no—
643C22×D79—44no—
644C22×D79—44no—
645C22×D79C22×D412yes—
646C22×D79H(5,𝔽2)12yes—
647Q8×C79—82no—
648D4×C79—44no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—44no—
687C2×C4×C79—44no—
688C2×C4×C79—82no—
689C2×C4×C79—82no—
690C2×C4×C79C22×D412yes—
691C2×C4×C79C22×D412yes—
692C22⋊D79—44no—
693C22⋊D79—44no—
694C22⋊D79—44no—
695C22⋊D79—44no—
696C22⋊D79—82no—
697C22⋊D79—82no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—44no—
731C2×Dic79C22×D412yes—
732C2×Dic79C22×D412yes—
733C2×Dic79C22×D412yes—
734C2×Dic79H(5,𝔽2)12yes—
735D316—44no—
736D316—44no—
737D316—82no—
738D316—82no—
739D316—82no—
740C4×D79—28no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—44no—
744C4×D79—44no—
745C4×D79—44no—
746Dic158—44no—
747Dic158—44no—
748Dic158—82no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79C23×D411yescharacteristic
764C22×C79C2×H(5,𝔽2)11yescharacteristic
765C22×C79C2×H(5,𝔽2)11yescharacteristic
766C22×C79C2×2−1+411yescharacteristic
767C22×C79#58511yescharacteristic
768C22×C79#58511yescharacteristic
769C22×C79#58511yescharacteristic
770C2×D79—22no—
771C2×D79—22no—
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—416no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812Dic79—22no—
813Dic79—22no—
814Dic79—22no—
815Dic79—22no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824#36712—791nomaximal, Sylow
825C2×C79—42no—
826C2×C79—42no—
827C2×C79#344911yescharacteristic
828C2×C79#348411yescharacteristic
829C2×C79#348911yescharacteristic
830C2×C79#353311yescharacteristic
831C2×C79#353511yescharacteristic
832C2×C79#354011yescharacteristic
833C2×C79#354111yescharacteristic
834D79—42no—
835D79—42no—
836D79—81no—
837D79—81no—
838C2×#542—791no—
839C2×#525—791no—
840#2849—791no—
841#2848—791no—
842#2696—791no—
843#2695—791no—
844#2692—791no—
845#2691—791no—
846#2689—791no—
847#2686—791no—
848#2685—791no—
849#2684—791no—
850#2677—791no—
851#2676—791no—
852#2674—791no—
853#2674—791no—
854#2672—791no—
855#2671—791no—
856#2670—791no—
857#2668—791no—
858#2638—791no—
859#2630—791no—
860#2609—791no—
861#2602—791no—
862#2599—791no—
863#2598—791no—
864#2580—791no—
865#2564D7911yescharacteristic, complemented
866#2432—791no—
867#2430—791no—
868#2318—791no—
869C79#3671211yescharacteristic, complemented, Sylow
870C22×#41—791no—
871C24×C4—791no—
872#542—1588no—
873C2×C4⋊Q8—791no—
874C2×C4⋊Q8—791no—
875C2×#126—791no—
876C2×#126—791no—
877C2×#124—791no—
878C2×#124—791no—
879C2×#124—791no—
880C2×#124—791no—
881#525—1588no—
882C2×#123—791no—
883C2×#123—791no—
884C2×#123—791no—
885C2×#123—791no—
886C2×#123—791no—
887C2×C22⋊Q8—791no—
888C2×C22⋊Q8—791no—
889C2×C22⋊Q8—791no—
890C2×C22⋊Q8—791no—
891C2×C22⋊Q8—791no—
892C2×C22⋊Q8—791no—
893C2×C22⋊Q8C2×D7911yescharacteristic, complemented
894C2×#121—791no—
895C2×#121—791no—
896C2×#121—791no—
897C2×#121—791no—
898C2×#121—791no—
899C2×#120—791no—
900C2×#120—791no—
901C2×#120—791no—
902C2×C4×Q8—791no—
903C2×C4×D4—791no—
904C2×C4×D4—791no—
905C2×C4×D4—791no—
906C2×C4×D4C2×D7911yescharacteristic
907C2×#117—791no—
908C2×#117—791no—
909#400—791no—
910#400C2×D7911yescharacteristic, complemented
911#399—791no—
912#399—791no—
913#399—791no—
914#399C2×D7911yescharacteristic
915#398—791no—
916#398—791no—
917#398—791no—
918#398—791no—
919#397—791no—
920#397—791no—
921#397—791no—
922#397—791no—
923#397—791no—
924#397—791no—
925#396—791no—
926#396—791no—
927#396—791no—
928#396—791no—
929#395—791no—
930#395—791no—
931#395—791no—
932#395C2×D7911yescharacteristic, complemented
933#394—791no—
934#394—791no—
935#394—791no—
936#394—791no—
937#394—791no—
938#394—791no—
939#394—791no—
940#394—791no—
941#394—791no—
942#394—791no—
943#394—791no—
944#394—791no—
945#394—791no—
946#394—791no—
947#393—791no—
948#393—791no—
949#393—791no—
950#393—791no—
951#393—791no—
952#393C2×D7911yescharacteristic
953#392—791no—
954#392—791no—
955#392—791no—
956#392—791no—
957#391—791no—
958#390—791no—
959#390—791no—
960#390—791no—
961#390—791no—
962#389—791no—
963#389—791no—
964#389—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—791no—
980#387—791no—
981#387C2×D7911yescharacteristic, complemented
982#387C2×D7911yescharacteristic, complemented
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386C2×D7911yescharacteristic
996#386C2×D7911yescharacteristic
997#385—791no—
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
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#385C2×D7911yescharacteristic
1012#385C2×D7911yescharacteristic
1013#383—791no—
1014#382—791no—
1015#381—791no—
1016#381—791no—
1017#380—791no—
1018#380—791no—
1019#380—791no—
1020#380C2×D7911yescharacteristic, complemented
1021#380C2×D7911yescharacteristic, complemented
1022#379—791no—
1023#379—791no—
1024#379—791no—
1025C4×C22⋊C4—791no—
1026C2×#95C2×D7911yescharacteristic, complemented
1027C25—791no—
1028C2×#41—3162no—
1029C2×#41—3162no—
1030C2×#41—1584no—
1031C22×Q8—791no—
1032C22×Q8—791no—
1033C22×Q8—791no—
1034C22×Q8C22×D7911yescharacteristic
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
1042C22×D4—791no—
1043C22×D4—791no—
1044C22×D4—791no—
1045C22×D4—791no—
1046C22×D4C22×D7911yescharacteristic
1047C23×C4—3162no—
1048C23×C4—3162no—
1049C23×C4—791no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—1584no—
1057C23×C4C22×D7911yescharacteristic
1058C23×C4C22×D7911yescharacteristic
1059C23×C4C22×D7911yescharacteristic
1060C23×C4C22×D7911yescharacteristic
1061C4⋊Q8—3162no—
1062C4⋊Q8—1584no—
1063#126—1584no—
1064#126—1584no—
1065#124—3162no—
1066#124—1584no—
1067#124—1584no—
1068#124—1584no—
1069#123—3162no—
1070#123—1584no—
1071#123—1584no—
1072#123—1584no—
1073#123—1584no—
1074C22⋊Q8—24no—
1075C22⋊Q8—3162no—
1076C22⋊Q8—3162no—
1077C22⋊Q8—1584no—
1078C22⋊Q8—1584no—
1079C22⋊Q8—1584no—
1080C22⋊Q8—1584no—
1081#121—3162no—
1082#121—3162no—
1083#121—1584no—
1084#121—1584no—
1085#121—1584no—
1086#120—3162no—
1087#120—1584no—
1088#120—1584no—
1089C4×Q8—1584no—
1090C4×D4—24no—
1091C4×D4—798no—
1092C4×D4—1584no—
1093C4×D4—1584no—
1094#117—1584no—
1095#117—1584no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—791no—
1110C2×C4⋊C4—791no—
1111C2×C4⋊C4—791no—
1112C2×C4⋊C4—791no—
1113C2×C4⋊C4—791no—
1114C2×C4⋊C4—791no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
1120C2×C4⋊C4C22×D7911yescharacteristic
1121C2×C4⋊C4C22×D7911yescharacteristic
1122C2×C4⋊C4C22×D7911yescharacteristic
1123C2×C4⋊C4C22×D7911yescharacteristic
1124C2×C4⋊C4C22×D7911yescharacteristic
1125C2×C4⋊C4C22×D7911yescharacteristic
1126C2×C4⋊C4C22×D7911yescharacteristic
1127C2×C4⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4C22×D7911yescharacteristic
1174C2×C22⋊C4C22×D7911yescharacteristic
1175C2×C22⋊C4C22×D7911yescharacteristic
1176C2×C22⋊C4C22×D7911yescharacteristic
1177C2×C22⋊C4C22×D7911yescharacteristic
1178C2×C22⋊C4C22×D7911yescharacteristic
1179C2×C22⋊C4C22×D7911yescharacteristic
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—791no—
1185C2×C42—791no—
1186C2×C42C22×D7911yescharacteristic
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95C22×D7911yescharacteristic
1212#95C22×D7911yescharacteristic
1213#95C22×D7911yescharacteristic
1214#95C22×D7911yescharacteristic
1215#95C22×D7911yescharacteristic
1216#95C22×D7911yescharacteristic
1217#95C22×D7911yescharacteristic
1218#95C22×D7911yescharacteristic
1219#95C22×D7911yescharacteristic
1220#95C22×D7911yescharacteristic
1221#95C22×D7911yescharacteristic
1222#95C22×D7911yescharacteristic
1223C24—3161no—
1224C24—3161no—
1225C24—3161no—
1226C24—3161no—
1227C24—791no—
1228C24—791no—
1229C24—791no—
1230C24—791no—
1231C24—1582no—
1232C24—1582no—
1233C24—1582no—
1234C24C23×D7911yescharacteristic
1235C24C23×D7911yescharacteristic
1236#41—31616no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—3161no—
1241C2×Q8—3161no—
1242C2×Q8—3161no—
1243C2×Q8—3161no—
1244C2×Q8—3161no—
1245C2×Q8—1582no—
1246C2×Q8—1582no—
1247C2×Q8—1582no—
1248C2×Q8—1582no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—3161no—
1268C2×D4—3161no—
1269C2×D4—3161no—
1270C2×D4—3161no—
1271C2×D4—794no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C2×D4—1582no—
1283C2×D4—1582no—
1284C2×D4—1582no—
1285C22×C4—22no—
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—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—3161no—
1302C22×C4—3161no—
1303C22×C4—3161no—
1304C22×C4—31616no—
1305C22×C4—3161no—
1306C22×C4—794no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—1582no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4—1582no—
1328C22×C4—1582no—
1329C22×C4—1582no—
1330C22×C4D4×D7914yes—
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7911yescharacteristic
1341C22×C4C23×D7911yescharacteristic
1342C22×C4C23×D7911yescharacteristic
1343C22×C4C23×D7911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—3161no—
1353C4⋊C4—3161no—
1354C4⋊C4—3161no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—3161no—
1360C4⋊C4—3161no—
1361C4⋊C4—3161no—
1362C4⋊C4—794no—
1363C4⋊C4—1582no—
1364C4⋊C4—1582no—
1365C4⋊C4—1582no—
1366C4⋊C4—1582no—
1367C4⋊C4—1582no—
1368C4⋊C4—1582no—
1369C4⋊C4—1582no—
1370C4⋊C4—1582no—
1371C4⋊C4—1582no—
1372C4⋊C4—1582no—
1373C4⋊C4—1582no—
1374C4⋊C4—1582no—
1375C4⋊C4—1582no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—3161no—
1396C22⋊C4—3161no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
1399C22⋊C4—3161no—
1400C22⋊C4—3161no—
1401C22⋊C4—3161no—
1402C22⋊C4—3161no—
1403C22⋊C4—3161no—
1404C22⋊C4—3161no—
1405C22⋊C4—3161no—
1406C22⋊C4—3161no—
1407C22⋊C4—794no—
1408C22⋊C4—794no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4—1582no—
1428C42—22no—
1429C42—3161no—
1430C42—3161no—
1431C42—794no—
1432C42—1582no—
1433C42—1582no—
1434C42—1582no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—3164no—
1448C23—3164no—
1449C23—3164no—
1450C23—3164no—
1451C23—3164no—
1452C23—3164no—
1453C23—3164no—
1454C23—792no—
1455C23—792no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23—1581no—
1482C23C2×D4×D7912yes—
1483C23#1457920912yes—
1484C23C24×D7911yescharacteristic
1485Q8—82no—
1486Q8—3164no—
1487Q8—3164no—
1488Q8—6322no—
1489D4—44no—
1490D4—3164no—
1491D4—3164no—
1492D4—3164no—
1493D4—3164no—
1494D4—3164no—
1495D4—3164no—
1496D4—6322no—
1497D4—6322no—
1498D4—6322no—
1499D4—6322no—
1500D4—6322no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—3164no—
1543C2×C4—3164no—
1544C2×C4—3164no—
1545C2×C4—3164no—
1546C2×C4—3164no—
1547C2×C4—3164no—
1548C2×C4—792no—
1549C2×C4—792no—
1550C2×C4—792no—
1551C2×C4—792no—
1552C2×C4—1588no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4C2×D4×D7912yes—
1586C2×C4C2×D4×D7912yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—31616no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—1582no—
1625C22—1582no—
1626C22—1582no—
1627C22—1582no—
1628C22—1582no—
1629C22—1582no—
1630C22C22×D4×D7911yescharacteristic
1631C22H(5,𝔽2)×D7911yescharacteristic
1632C22H(5,𝔽2)×D7911yescharacteristic
1633C22C2×#1457920911yescharacteristic
1634C22#1909939911yescharacteristic
1635C22#1909939911yescharacteristic
1636C22#1909939911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C4—3161no—
1656C4—3161no—
1657C4—3161no—
1658C4—1582no—
1659C4—1582no—
1660C4—1582no—
1661C4—1582no—
1662C2—42no—
1663C2—42no—
1664C2—3162no—
1665C2—3162no—
1666C2—6321no—
1667C2—6321no—
1668C2#2377672711yescharacteristic
1669C2#2377703211yescharacteristic
1670C2#2377707611yescharacteristic
1671C2#2377756511yescharacteristic
1672C2#2377760411yescharacteristic
1673C2#2377766911yescharacteristic
1674C2#2377768611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2564C2
hypercenter#2564D79
hypocenterC79#36712
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2564

Complements

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

NH ≅ G/Ntype
1. C2×#19099183C2semidirect
2. C2×#19099072C2semidirect
3. #23771695C2semidirect
4. #23771686C2semidirect
5. #23769943C2semidirect
6. #23769932C2semidirect
7. #23769889C2semidirect
8. #23769878C2semidirect
9. #23769844C2semidirect
10. #23769803C2semidirect
11. #23769784C2semidirect
12. #23769777C2semidirect
13. #23769709C2semidirect
14. #23769702C2semidirect
15. #23769674C2semidirect
16. #23769674C2semidirect
17. #23769652C2semidirect
18. #23769633C2semidirect
19. #23769620C2semidirect
20. #23769605C2semidirect
21. #23769324C2semidirect
22. #23769249C2semidirect
23. #23769079C2semidirect
24. #23769012C2semidirect
25. #23768975C2semidirect
26. #23768965C2semidirect
27. #23768757C2semidirect
28. #23767029C2semidirect
29. #23767010C2semidirect
30. #23766034C2semidirect
31. C79×#2564C2semidirect
35. C2×#14579159C22semidirect
36. C2×#14579159C22semidirect
38. C2×#14579154C22semidirect
42. C2×#14579147C22semidirect
47. C2×#14579144C22semidirect
52. C2×#14579139C22semidirect
56. C2×#14579135C22semidirect
63. C2×#14579126C22semidirect
67. C2×#14579119C22semidirect
69. #19098505C22semidirect
71. #19098498C22semidirect
72. #19098498C22semidirect
73. #19098497C22semidirect
74. #19098497C22semidirect
75. #19098497C22semidirect
76. #19098496C22semidirect
80. #19098492C22semidirect
81. #19098491C22semidirect
83. #19098487C22semidirect
84. #19098487C22semidirect
86. #19098485C22semidirect
87. #19098484C22semidirect
88. #19098484C22semidirect
89. #19098483C22semidirect
94. #19098481C22semidirect
100. #19098478C22semidirect
101. #19098478C22semidirect
102. #19098478C22semidirect
105. #19098476C22semidirect
106. #19098476C22semidirect
107. #19098476C22semidirect
113. #19098468C22semidirect
118. #19098460C22semidirect
119. #19098458C22semidirect
120. #19098458C22semidirect
123. #19098454C22semidirect
125. #19098453C22semidirect
126. #19098453C22semidirect
131. #19098447C22semidirect
132. #19098446C22semidirect
133. #19098445C22semidirect
134. #19098445C22semidirect
135. #19098445C22semidirect
136. #19098445C22semidirect
141. #19098442C22semidirect
145. #19098441C22semidirect
146. #19098441C22semidirect
151. #19098437C22semidirect
153. #19098436C22semidirect
154. #19098436C22semidirect
160. #19098434C22semidirect
161. #19098434C22semidirect
162. #19098434C22semidirect
163. #19098430C22semidirect
164. #19098427C22semidirect
173. C4×C22⋊Dic79C22semidirect
174. C2×C22⋊Q8×C79C22semidirect
176. #400×C79C22semidirect
178. #395×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
186. #380×C79C22semidirect
187. #380×C79C22semidirect
188. C2×#95×C79C22semidirect
247. C4×C22⋊D79D4semidirect
865. #2564D79semidirect
869. C79#36712semidirect
893. C2×C22⋊Q8C2×D79semidirect
910. #400C2×D79semidirect
932. #395C2×D79semidirect
981. #387C2×D79semidirect
982. #387C2×D79semidirect
1020. #380C2×D79semidirect
1021. #380C2×D79semidirect
1026. C2×#95C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991832
C2×#190990722
#237716952
#237716862
#237699432
#237699322
#237698892
#237698782
#237698442
#237698032
#237697842
#237697772
#237697092
#237697022
#237696742
#237696522
#237696332
#237696202
#237696052
#237693242
#237692492
#237690792
#237690122
#237689752
#237689652
#237687572
#237670292
#237670102
#237660342
C79×#25642
#3671279