Finite Group Databasebeta

← #34495150

Subgroups — #34495150

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×#19099185C211yesmaximal, characteristic, complemented
2C2×#19099072C211yesmaximal, characteristic, complemented
3#23771695C211yesmaximal, characteristic, complemented
4#23771686C211yesmaximal, characteristic, complemented
5#23769955C211yesmaximal, characteristic, complemented
6#23769936C211yesmaximal, characteristic, complemented
7#23769901C211yesmaximal, characteristic, complemented
8#23769882C211yesmaximal, characteristic, complemented
9#23769852C211yesmaximal, characteristic, complemented
10#23769811C211yesmaximal, characteristic, complemented
11#23769792C211yesmaximal, characteristic, complemented
12#23769783C211yesmaximal, characteristic, complemented
13#23769716C211yesmaximal, characteristic, complemented
14#23769698C211yesmaximal, characteristic, complemented
15#23769686C211yesmaximal, characteristic, complemented
16#23769682C211yesmaximal, characteristic, complemented
17#23769648C211yesmaximal, characteristic, complemented
18#23769641C211yesmaximal, characteristic, complemented
19#23769623C211yesmaximal, characteristic, complemented
20#23769609C211yesmaximal, characteristic, complemented
21#23769321C211yesmaximal, characteristic, complemented
22#23769245C211yesmaximal, characteristic, complemented
23#23769077C211yesmaximal, characteristic, complemented
24#23769016C211yesmaximal, characteristic, complemented
25#23768971C211yesmaximal, characteristic, complemented
26#23768960C211yesmaximal, characteristic, complemented
27#23768585C211yesmaximal, characteristic, complemented
28#23767026C211yesmaximal, characteristic, complemented
29#23767009C211yesmaximal, characteristic, complemented
30#23766036C211yesmaximal, characteristic, complemented
31C79×#2580C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099185—28no—
35C2×#14579160C2211yescharacteristic, complemented
36C2×#14579160C2211yescharacteristic, complemented
37C2×#14579155C2211yescharacteristic
38C2×#14579155C2211yescharacteristic, complemented
39C2×#14579150C2211yescharacteristic
40C2×#14579149C2211yescharacteristic
41C2×#14579149C2211yescharacteristic, complemented
42C2×#14579147C2211yescharacteristic
43#19099072—28no—
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic
46C2×#14579146C2211yescharacteristic
47C2×#14579146C2211yescharacteristic, complemented
48C2×#14579143C2211yescharacteristic
49C2×#14579139C2211yescharacteristic
50C2×#14579139C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579139C2211yescharacteristic, complemented
53C2×#14579138C2211yescharacteristic
54C2×#14579138C2211yescharacteristic
55C2×#14579137C2211yescharacteristic, complemented
56C2×#14579136C2211yescharacteristic
57C2×#14579136C2211yescharacteristic
58C2×#14579134C2211yescharacteristic
59C2×#14579134C2211yescharacteristic, complemented
60C2×#14579133C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579131C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×C4×D316C2211yescharacteristic
65C2×C4×C22⋊D79C2211yescharacteristic
66C2×C4×C22⋊D79C2211yescharacteristic
67C2×#14579118C2211yescharacteristic
68C2×#14579118C2211yescharacteristic, complemented
69#19098504C2211yescharacteristic, complemented
70#19098501C2211yescharacteristic, complemented
71#19098499C2211yescharacteristic
72#19098498C2211yescharacteristic, complemented
73#19098497C2211yescharacteristic, complemented
74#19098494C2211yescharacteristic, complemented
75#19098494C2211yescharacteristic, complemented
76#19098493C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic
78#19098492C2211yescharacteristic, complemented
79#19098491C2211yescharacteristic, complemented
80#19098490C2211yescharacteristic
81#19098489C2211yescharacteristic
82#19098489C2211yescharacteristic
83#19098487C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic, complemented
87#19098483C2211yescharacteristic, complemented
88#19098483C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098482C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098480C2211yescharacteristic
94#19098480C2211yescharacteristic
95#19098480C2211yescharacteristic, complemented
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic, complemented
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098478C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic, complemented
104#19098477C2211yescharacteristic
105#19098476C2211yescharacteristic, complemented
106#19098475C2211yescharacteristic
107#19098475C2211yescharacteristic, complemented
108#19098474C2211yescharacteristic
109#19098472C2211yescharacteristic
110#19098472C2211yescharacteristic
111#19098472C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098467C2211yescharacteristic, complemented
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098459C2211yescharacteristic, complemented
117#19098455C2211yescharacteristic
118#19098455C2211yescharacteristic, complemented
119#19098454C2211yescharacteristic
120#19098454C2211yescharacteristic
121#19098453C2211yescharacteristic
122#19098453C2211yescharacteristic
123#19098452C2211yescharacteristic, complemented
124#19098451C2211yescharacteristic
125#19098451C2211yescharacteristic
126#19098451C2211yescharacteristic, complemented
127#19098448C2211yescharacteristic, complemented
128#19098448C2211yescharacteristic, complemented
129#19098448C2211yescharacteristic, complemented
130#19098448C2211yescharacteristic, complemented
131#19098447C2211yescharacteristic, complemented
132#19098447C2211yescharacteristic, complemented
133#19098444C2211yescharacteristic, complemented
134#19098444C2211yescharacteristic, complemented
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098441C2211yescharacteristic
143#19098440C2211yescharacteristic
144#19098439C2211yescharacteristic
145#19098439C2211yescharacteristic
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic, complemented
148#19098439C2211yescharacteristic, complemented
149#19098437C2211yescharacteristic
150#19098437C2211yescharacteristic
151#19098437C2211yescharacteristic, complemented
152#19098436C2211yescharacteristic
153#19098436C2211yescharacteristic, complemented
154#19098435C2211yescharacteristic
155#19098434C2211yescharacteristic
156#19098434C2211yescharacteristic
157#19098434C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098431C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic
163#19098425C2211yescharacteristic
164#19098422C2211yescharacteristic
165#19098422C2211yescharacteristic
166#19098422C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic
168#19098420C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172#19098410C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×C4×Q8×C79C2211yescharacteristic, complemented
175C2×C4×D4×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic
177#399×C79C2211yescharacteristic, complemented
178#393×C79C2211yescharacteristic
179#393×C79C2211yescharacteristic, complemented
180#390×C79C2211yescharacteristic
181#390×C79C2211yescharacteristic
182#389×C79C2211yescharacteristic, complemented
183#389×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#382×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
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219#14579160—24no—
220#14579160—42no—
221#14579155—24no—
222#14579155—24no—
223#14579150—24no—
224#14579149—24no—
225#14579149—24no—
226#14579147—42no—
227#14579146—24no—
228#14579146—24no—
229#14579146—24no—
230#14579146—42no—
231#14579143—24no—
232#14579139—24no—
233#14579139—24no—
234#14579139—24no—
235#14579139—42no—
236#14579138—24no—
237#14579138—42no—
238#14579137—24no—
239#14579136—24no—
240#14579136—42no—
241#14579134—24no—
242#14579134—42no—
243#14579133—24no—
244#14579131—24no—
245#14579131—42no—
246#14579129—24no—
247C4×D316D418yescomplemented
248C4×C22⋊D79—24no—
249C4×C22⋊D79—24no—
250#14579118—24no—
251#14579118—24no—
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
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
352C4×Q8×C79—24no—
353C4×D4×C79—24no—
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C42×C79C2311yescharacteristic
375C2×C42×C79C2311yescharacteristic
376C2×C42×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×D316C2×D414yes—
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⋊D79—41no—
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—41no—
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—41no—
472C2×C4×D79—41no—
473C2×C4×D79—41no—
474C2×C4×D79—41no—
475C2×C4×D79—41no—
476C2×C4×D79—416no—
477C2×C4×D79C2×D414yes—
478C2×C4×D79C2×D414yes—
479C4⋊Dic79—22no—
480C4⋊Dic79—41no—
481C4⋊Dic79—41no—
482C4⋊Dic79C2×D414yes—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—41no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
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—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
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)⋊C4—41no—
541(C2×D79)⋊C4C2×D414yes—
542(C2×D79)⋊C4C2×D414yes—
543C4×Dic79—22no—
544C4×Dic79—22no—
545C4×Dic79—41no—
546C4×Dic79—41no—
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—22no—
557C22×C4×C79—41no—
558C22×C4×C79—41no—
559C22×C4×C79—41no—
560C22×C4×C79—41no—
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C4⋊C4×C79—22no—
575C4⋊C4×C79—22no—
576C4⋊C4×C79—22no—
577C4⋊C4×C79—22no—
578C4⋊C4×C79—41no—
579C4⋊C4×C79—41no—
580C4⋊C4×C79—41no—
581C4⋊C4×C79—41no—
582C4⋊C4×C79—41no—
583C4⋊C4×C79—41no—
584C22⋊C4×C79—22no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—41no—
587C22⋊C4×C79—41no—
588C22⋊C4×C79—41no—
589C22⋊C4×C79—41no—
590C22⋊C4×C79—41no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79—41no—
593C22⋊C4×C79—41no—
594C42×C79—22no—
595C42×C79—22no—
596C42×C79C2×D414yes—
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×C79—21no—
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—44no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—44no—
642C22×D79—44no—
643C22×D79—44no—
644C22×D79C22×D412yes—
645C22×D79C22×D412yes—
646C22×D79H(5,𝔽2)12yes—
647Q8×C79—44no—
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—44no—
686C2×C4×C79—44no—
687C2×C4×C79C22×D412yes—
688C2×C4×C79C22×D412yes—
689C2×C4×C79C22×D412yes—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—44no—
693C22⋊D79—44no—
694C22⋊D79—82no—
695C22⋊D79—82no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—44no—
730C2×Dic79C22×D412yes—
731C2×Dic79C22×D412yes—
732C2×Dic79H(5,𝔽2)12yes—
733D316—44no—
734D316—44no—
735D316—82no—
736D316—82no—
737D316—82no—
738C4×D79—28no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—44no—
744C4×D79—82no—
745C4×D79—82no—
746Dic158—44no—
747Dic158—82no—
748Dic158—82no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×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—22no—
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—416no—
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—22no—
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—41no—
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—81no—
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—42no—
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#2580D7911yescharacteristic, complemented
865#2564—791no—
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⋊Q8—791no—
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×Q8C2×D7911yescharacteristic, complemented
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#400—791no—
911#399—791no—
912#399—791no—
913#399C2×D7911yescharacteristic
914#399C2×D7911yescharacteristic, complemented
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#395—791no—
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#393C2×D7911yescharacteristic
952#393C2×D7911yescharacteristic, complemented
953#392—791no—
954#392—791no—
955#392—791no—
956#392—791no—
957#391—791no—
958#390—791no—
959#390—791no—
960#390C2×D7911yescharacteristic
961#390C2×D7911yescharacteristic
962#389—791no—
963#389C2×D7911yescharacteristic, complemented
964#389C2×D7911yescharacteristic, complemented
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#387—791no—
982#387—791no—
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#386—791no—
996#386—791no—
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#385C2×D7911yescharacteristic
1010#385C2×D7911yescharacteristic
1011#385C2×D7911yescharacteristic, complemented
1012#385C2×D7911yescharacteristic, complemented
1013#383—791no—
1014#382C2×D7911yescharacteristic, complemented
1015#381—791no—
1016#381—791no—
1017#380—791no—
1018#380—791no—
1019#380—791no—
1020#380—791no—
1021#380—791no—
1022#379—791no—
1023#379—791no—
1024#379—791no—
1025C4×C22⋊C4—791no—
1026C2×#95—791no—
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—791no—
1057C23×C4—791no—
1058C23×C4—1584no—
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—3162no—
1075C22⋊Q8—3162no—
1076C22⋊Q8—1584no—
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—24no—
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⋊C4C22×D7911yescharacteristic
1119C2×C4⋊C4C22×D7911yescharacteristic
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⋊C4C22×D7911yescharacteristic
1171C2×C22⋊C4C22×D7911yescharacteristic
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×C42C22×D7911yescharacteristic
1185C2×C42C22×D7911yescharacteristic
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#95—791no—
1212#95—791no—
1213#95—791no—
1214#95—791no—
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—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
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—3161no—
1305C22×C4—31616no—
1306C22×C4—3161no—
1307C22×C4—794no—
1308C22×C4—794no—
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—791no—
1320C22×C4—791no—
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×C4—1582no—
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—41no—
1353C4⋊C4—41no—
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—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
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—794no—
1406C22⋊C4—794no—
1407C22⋊C4—1582no—
1408C22⋊C4—1582no—
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—22no—
1430C42—3161no—
1431C42—3161no—
1432C42—1582no—
1433C42—1582no—
1434C42D4×D7914yes—
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—21no—
1448C23—3164no—
1449C23—3164no—
1450C23—3164no—
1451C23—3164no—
1452C23—3164no—
1453C23—3164no—
1454C23—3164no—
1455C23—792no—
1456C23—792no—
1457C23—792no—
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—
1482C23—1581no—
1483C23#1457920912yes—
1484C23C24×D7911yescharacteristic
1485Q8—44no—
1486Q8—3164no—
1487Q8—6322no—
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—44no—
1538C2×C4—44no—
1539C2×C4—3164no—
1540C2×C4—3164no—
1541C2×C4—3164no—
1542C2×C4—3164no—
1543C2×C4—3164no—
1544C2×C4—3164no—
1545C2×C4—792no—
1546C2×C4—792no—
1547C2×C4—792no—
1548C2×C4—6322no—
1549C2×C4—6322no—
1550C2×C4—1588no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4C2×D4×D7912yes—
1585C2×C4C2×D4×D7912yes—
1586C2×C4C2×D4×D7912yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
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—1582no—
1622C22—1582no—
1623C22—1582no—
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—22no—
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—3161no—
1659C4—1582no—
1660C4—1582no—
1661C4—1582no—
1662C2—42no—
1663C2—81no—
1664C2—3162no—
1665C2—3162no—
1666C2—3162no—
1667C2—6321no—
1668C2#2377673011yescharacteristic
1669C2#2377703411yescharacteristic
1670C2#2377707611yescharacteristic
1671C2#2377757411yescharacteristic
1672C2#2377760411yescharacteristic
1673C2#2377766311yescharacteristic
1674C2#2377768611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2580C2
hypercenter#2580D79
hypocenterC79#36712
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2580

Complements

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

NH ≅ G/Ntype
1. C2×#19099185C2semidirect
2. C2×#19099072C2semidirect
3. #23771695C2semidirect
4. #23771686C2semidirect
5. #23769955C2semidirect
6. #23769936C2semidirect
7. #23769901C2semidirect
8. #23769882C2semidirect
9. #23769852C2semidirect
10. #23769811C2semidirect
11. #23769792C2semidirect
12. #23769783C2semidirect
13. #23769716C2semidirect
14. #23769698C2semidirect
15. #23769686C2semidirect
16. #23769682C2semidirect
17. #23769648C2semidirect
18. #23769641C2semidirect
19. #23769623C2semidirect
20. #23769609C2semidirect
21. #23769321C2semidirect
22. #23769245C2semidirect
23. #23769077C2semidirect
24. #23769016C2semidirect
25. #23768971C2semidirect
26. #23768960C2semidirect
27. #23768585C2semidirect
28. #23767026C2semidirect
29. #23767009C2semidirect
30. #23766036C2semidirect
31. C79×#2580C2semidirect
35. C2×#14579160C22semidirect
36. C2×#14579160C22semidirect
38. C2×#14579155C22semidirect
41. C2×#14579149C22semidirect
47. C2×#14579146C22semidirect
52. C2×#14579139C22semidirect
55. C2×#14579137C22semidirect
59. C2×#14579134C22semidirect
68. C2×#14579118C22semidirect
69. #19098504C22semidirect
70. #19098501C22semidirect
72. #19098498C22semidirect
73. #19098497C22semidirect
74. #19098494C22semidirect
75. #19098494C22semidirect
76. #19098493C22semidirect
78. #19098492C22semidirect
79. #19098491C22semidirect
83. #19098487C22semidirect
84. #19098486C22semidirect
86. #19098485C22semidirect
87. #19098483C22semidirect
88. #19098483C22semidirect
89. #19098483C22semidirect
90. #19098482C22semidirect
95. #19098480C22semidirect
98. #19098479C22semidirect
102. #19098478C22semidirect
103. #19098478C22semidirect
105. #19098476C22semidirect
107. #19098475C22semidirect
113. #19098467C22semidirect
116. #19098459C22semidirect
118. #19098455C22semidirect
123. #19098452C22semidirect
126. #19098451C22semidirect
127. #19098448C22semidirect
128. #19098448C22semidirect
129. #19098448C22semidirect
130. #19098448C22semidirect
131. #19098447C22semidirect
132. #19098447C22semidirect
133. #19098444C22semidirect
134. #19098444C22semidirect
136. #19098442C22semidirect
147. #19098439C22semidirect
148. #19098439C22semidirect
151. #19098437C22semidirect
153. #19098436C22semidirect
159. #19098434C22semidirect
160. #19098434C22semidirect
161. #19098431C22semidirect
166. #19098422C22semidirect
168. #19098420C22semidirect
172. #19098410C22semidirect
173. #95×D79C22semidirect
174. C2×C4×Q8×C79C22semidirect
177. #399×C79C22semidirect
179. #393×C79C22semidirect
182. #389×C79C22semidirect
183. #389×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. #382×C79C22semidirect
247. C4×D316D4semidirect
864. #2580D79semidirect
869. C79#36712semidirect
902. C2×C4×Q8C2×D79semidirect
914. #399C2×D79semidirect
952. #393C2×D79semidirect
963. #389C2×D79semidirect
964. #389C2×D79semidirect
1011. #385C2×D79semidirect
1012. #385C2×D79semidirect
1014. #382C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991852
C2×#190990722
#237716952
#237716862
#237699552
#237699362
#237699012
#237698822
#237698522
#237698112
#237697922
#237697832
#237697162
#237696982
#237696862
#237696822
#237696482
#237696412
#237696232
#237696092
#237693212
#237692452
#237690772
#237690162
#237689712
#237689602
#237685852
#237670262
#237670092
#237660362
C79×#25802
#3671279