Finite Group Databasebeta

← #34495559

Subgroups — #34495559

Order 20224.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771691C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic, complemented
3#23770604C211yesmaximal, characteristic, complemented
4#23770497C211yesmaximal, characteristic, complemented
5#23770482C211yesmaximal, characteristic, complemented
6#23770460C211yesmaximal, characteristic, complemented
7#23770448C211yesmaximal, characteristic, complemented
8#23770235C211yesmaximal, characteristic, complemented
9#23770036C211yesmaximal, characteristic, complemented
10#23769959C211yesmaximal, characteristic, complemented
11#23769951C211yesmaximal, characteristic, complemented
12#23769904C211yesmaximal, characteristic, complemented
13#23769833C211yesmaximal, characteristic, complemented
14#23769811C211yesmaximal, characteristic, complemented
15#23769782C211yesmaximal, characteristic, complemented
16#23769727C211yesmaximal, characteristic, complemented
17#23769651C211yesmaximal, characteristic, complemented
18#23769621C211yesmaximal, characteristic, complemented
19#23769574C211yesmaximal, characteristic, complemented
20#23769530C211yesmaximal, characteristic, complemented
21#23768950C211yesmaximal, characteristic, complemented
22#23768728C211yesmaximal, characteristic, complemented
23#23768496C211yesmaximal, characteristic, complemented
24#23767601C211yesmaximal, characteristic, complemented
25#23767591C211yesmaximal, characteristic, complemented
26#23767563C211yesmaximal, characteristic, complemented
27#23767513C211yesmaximal, characteristic, complemented
28#23766188C211yesmaximal, characteristic, complemented
29#23766160C211yesmaximal, characteristic, complemented
30#23765781C211yesmaximal, characteristic, complemented
31C79×#2557C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579150C2211yescharacteristic
34C2×#14579147C2211yescharacteristic
35C2×#14579143C2211yescharacteristic
36C2×#14579143C2211yescharacteristic
37C2×#14579143C2211yescharacteristic, complemented
38C2×#14579142C2211yescharacteristic
39C2×#14579140C2211yescharacteristic, complemented
40C2×#14579134C2211yescharacteristic
41C2×#14579134C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×#14579118C2211yescharacteristic
48C2×#14579118C2211yescharacteristic
49#19098505C2211yescharacteristic, complemented
50#19098505C2211yescharacteristic, complemented
51#19098504C2211yescharacteristic, complemented
52#19098504C2211yescharacteristic, complemented
53#19098503C2211yescharacteristic, complemented
54#19098498C2211yescharacteristic, complemented
55#19098496C2211yescharacteristic, complemented
56#19098493C2211yescharacteristic, complemented
57#19098492C2211yescharacteristic
58#19098492C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic
61#19098491C2211yescharacteristic
62#19098491C2211yescharacteristic
63#19098491C2211yescharacteristic, complemented
64#19098491C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098487C2211yescharacteristic
68#19098485C2211yescharacteristic
69#19098485C2211yescharacteristic
70#19098485C2211yescharacteristic, complemented
71#19098483C2211yescharacteristic, complemented
72#19098482C2211yescharacteristic, complemented
73#19098482C2211yescharacteristic, complemented
74#19098481C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic, complemented
78#19098478C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098477C2211yescharacteristic
83#19098477C2211yescharacteristic, complemented
84#19098476C2211yescharacteristic
85#19098476C2211yescharacteristic
86#19098475C2211yescharacteristic, complemented
87#19098474C2211yescharacteristic
88#19098472C2211yescharacteristic
89#19098472C2211yescharacteristic
90#19098471C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic, complemented
93#19098467C2211yescharacteristic, complemented
94#19098466C2211yescharacteristic
95#19098465C2211yescharacteristic
96#19098463C2211yescharacteristic
97#19098463C2211yescharacteristic
98#19098463C2211yescharacteristic
99#19098463C2211yescharacteristic, complemented
100#19098459C2211yescharacteristic, complemented
101#19098457C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic, complemented
103#19098456C2211yescharacteristic
104#19098456C2211yescharacteristic, complemented
105#19098454C2211yescharacteristic
106#19098454C2211yescharacteristic, complemented
107#19098453C2211yescharacteristic
108#19098453C2211yescharacteristic
109#19098453C2211yescharacteristic
110#19098452C2211yescharacteristic
111#19098452C2211yescharacteristic, complemented
112#19098452C2211yescharacteristic, complemented
113#19098451C2211yescharacteristic
114#19098451C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098450C2211yescharacteristic, complemented
117#19098450C2211yescharacteristic, complemented
118#19098448C2211yescharacteristic, complemented
119#19098448C2211yescharacteristic, complemented
120#19098447C2211yescharacteristic, complemented
121#19098447C2211yescharacteristic, complemented
122#19098447C2211yescharacteristic, complemented
123#19098447C2211yescharacteristic, complemented
124#19098446C2211yescharacteristic, complemented
125#19098445C2211yescharacteristic, complemented
126#19098445C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic
128#19098442C2211yescharacteristic
129#19098442C2211yescharacteristic
130#19098442C2211yescharacteristic
131#19098442C2211yescharacteristic, complemented
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic, complemented
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic, complemented
144#19098438C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic
147#19098436C2211yescharacteristic
148#19098435C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic, complemented
150#19098430C2211yescharacteristic, complemented
151#19098425C2211yescharacteristic
152#19098425C2211yescharacteristic
153#19098425C2211yescharacteristic
154#19098425C2211yescharacteristic
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098422C2211yescharacteristic
158#19098422C2211yescharacteristic
159#19098422C2211yescharacteristic, complemented
160#19098421C2211yescharacteristic
161#19098421C2211yescharacteristic
162#19098421C2211yescharacteristic
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098414C2211yescharacteristic, complemented
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×(C2×D79)⋊C4C2211yescharacteristic
169C4×(C2×D79)⋊C4C2211yescharacteristic
170C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic79C2211yescharacteristic
172C2×#124×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174#397×C79C2211yescharacteristic
175#397×C79C2211yescharacteristic, complemented
176#393×C79C2211yescharacteristic, complemented
177#392×C79C2211yescharacteristic
178#391×C79C2211yescharacteristic, complemented
179#390×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic, complemented
185C4×C22⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C22×C4×D79—24no—
201C22×C4×D79—42no—
202C22×C4×D79—42no—
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208#14579150—42no—
209#14579147—42no—
210#14579143—24no—
211#14579143—42no—
212#14579143—42no—
213#14579142—42no—
214#14579140—42no—
215#14579134—24no—
216#14579134—42no—
217#14579133—42no—
218#14579133—42no—
219#14579131—42no—
220#14579129—42no—
221#14579129—42no—
222#14579118—42no—
223#14579118—42no—
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C22×Q8×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332#124×C79—42no—
333#123×C79—42no—
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C22⋊C4×C79C2311yescharacteristic
338C2×C22⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C42×C79C2311yescharacteristic
351C2×C42×C79C2311yescharacteristic
352C2×C42×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—22no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79—41no—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C23×D79C2411yescharacteristic
373C2×Dic158—41no—
374C2×Dic158—41no—
375C2×Dic158—41no—
376C2×D316—22no—
377C2×D316—22no—
378C2×D316—41no—
379C2×D316—41no—
380C2×D316—41no—
381C2×D316—41no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C22×Dic79—22no—
404C22×Dic79—22no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C2×C4×D79—22no—
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—416no—
437C2×C4×D79#4114yes—
438C4⋊Dic79—22no—
439C4⋊Dic79—22no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442Dic79⋊C4—22no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—22no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—22no—
477(C2×D79)⋊C4—22no—
478(C2×D79)⋊C4—22no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500C4×Dic79—41no—
501C4×Dic79—41no—
502C4×Dic79—41no—
503C4×Dic79—41no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C24×C79C2411yescharacteristic
507C24×C79C2411yescharacteristic
508C24×C79C2411yescharacteristic
509C2×Q8×C79—41no—
510C2×Q8×C79—41no—
511C2×Q8×C79—41no—
512C2×D4×C79—22no—
513C2×D4×C79—22no—
514C2×D4×C79—41no—
515C2×D4×C79—41no—
516C2×D4×C79—41no—
517C2×D4×C79—41no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C22×C4×C79—22no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79—41no—
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C4⋊C4×C79—41no—
540C4⋊C4×C79—41no—
541C4⋊C4×C79—41no—
542C22⋊C4×C79—22no—
543C22⋊C4×C79—22no—
544C22⋊C4×C79—22no—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C42×C79—41no—
556C42×C79—41no—
557C42×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79H(5,𝔽2)12yes—
579C23×C79C2511yescharacteristic
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—21no—
585C22×D79—21no—
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79—44no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79C2×#4112yes—
607C22×D79H(5,𝔽2)12yes—
608Q8×C79—82no—
609D4×C79—82no—
610D4×C79—82no—
611D4×C79—82no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—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—44no—
648C2×C4×C79—82no—
649C2×C4×C79C2×#4112yes—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C2×Dic79—21no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—44no—
695C2×Dic79—82no—
696C2×Dic79C2×#4112yes—
697C2×Dic79H(5,𝔽2)12yes—
698D316—82no—
699D316—82no—
700C4×D79—28no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—44no—
704C4×D79—82no—
705Dic158—82no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79C22×#4111yescharacteristic
728C22×C79C2×H(5,𝔽2)11yescharacteristic
729C22×C79C2×H(5,𝔽2)11yescharacteristic
730C22×C79C2×H(5,𝔽2)11yescharacteristic
731C22×C79#58511yescharacteristic
732C22×C79#58511yescharacteristic
733C22×C79#58511yescharacteristic
734C2×D79—22no—
735C2×D79—22no—
736C2×D79—22no—
737C2×D79—22no—
738C2×D79—22no—
739C2×D79—22no—
740C2×D79—416no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—41no—
756C4×C79—22no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768Dic79—22no—
769Dic79—22no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36735—791nomaximal, Sylow
782C2×C79—42no—
783C2×C79—81no—
784C2×C79—81no—
785C2×C79#345511yescharacteristic
786C2×C79#349011yescharacteristic
787C2×C79#349411yescharacteristic
788C2×C79#353311yescharacteristic
789C2×C79#353411yescharacteristic
790C2×C79#354011yescharacteristic
791C2×C79#354211yescharacteristic
792D79—42no—
793D79—42no—
794D79—81no—
795#2849—791no—
796#2847—791no—
797#2747—791no—
798#2740—791no—
799#2739—791no—
800#2737—791no—
801#2737—791no—
802#2717—791no—
803#2703—791no—
804#2697—791no—
805#2696—791no—
806#2693—791no—
807#2688—791no—
808#2686—791no—
809#2684—791no—
810#2678—791no—
811#2672—791no—
812#2670—791no—
813#2665—791no—
814#2661—791no—
815#2597—791no—
816#2578—791no—
817#2557—791no—
818#2557D7911yescharacteristic, complemented
819#2477—791no—
820#2476—791no—
821#2474—791no—
822#2471—791no—
823#2335—791no—
824#2333—791no—
825#2280—791no—
826C79#3673511yescharacteristic, complemented, Sylow
827C24×C4—791no—
828C2×#124—791no—
829C2×#124—791no—
830C2×#124C2×D7911yescharacteristic
831C2×#123—791no—
832C2×#123—791no—
833C2×#123—791no—
834C2×#123—791no—
835C2×#123C2×D7911yescharacteristic
836C2×C22⋊Q8—791no—
837C2×#121—791no—
838C2×#121—791no—
839C2×#121—791no—
840C2×#121—791no—
841C2×#120—791no—
842C2×#120—791no—
843C2×#120—791no—
844C2×#117—791no—
845C2×#117—791no—
846#400—791no—
847#400—791no—
848#400—791no—
849#400—791no—
850#400—791no—
851#399—791no—
852#398—791no—
853#398—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397—791no—
859#397—791no—
860#397—791no—
861#397—791no—
862#397—791no—
863#397—791no—
864#397C2×D7911yescharacteristic
865#397C2×D7911yescharacteristic, complemented
866#396—791no—
867#396—791no—
868#396—791no—
869#396—791no—
870#395—791no—
871#395—791no—
872#395—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394—791no—
883#393—791no—
884#393—791no—
885#393—791no—
886#393—791no—
887#393C2×D7911yescharacteristic, complemented
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#392—791no—
893#392C2×D7911yescharacteristic
894#391—791no—
895#391C2×D7911yescharacteristic, complemented
896#390—791no—
897#390—791no—
898#390—791no—
899#390—791no—
900#390—791no—
901#390—791no—
902#390C2×D7911yescharacteristic, complemented
903#389—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388C2×D7911yescharacteristic, complemented
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387—791no—
927#387—791no—
928#387—791no—
929#387—791no—
930#387—791no—
931#387C2×D7911yescharacteristic, complemented
932#386—791no—
933#386—791no—
934#386—791no—
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386C2×D7911yescharacteristic
950#386C2×D7911yescharacteristic
951#386C2×D7911yescharacteristic, complemented
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#383—791no—
959#381—791no—
960#381—791no—
961#381—791no—
962#381—791no—
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#379—791no—
972#379—791no—
973#379—791no—
974C4×C4⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4C2×D7911yescharacteristic
981C4×C22⋊C4C2×D7911yescharacteristic, complemented
982C25—791no—
983C22×Q8—791no—
984C22×Q8C22×D7911yescharacteristic
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4C22×D7911yescharacteristic
995C22×D4C22×D7911yescharacteristic
996C22×D4C22×D7911yescharacteristic
997C23×C4—3162no—
998C23×C4—3162no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—1584no—
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#124—42no—
1010#124—3162no—
1011#124—3162no—
1012#123—42no—
1013#123—3162no—
1014#123—3162no—
1015#123—3162no—
1016#123—1584no—
1017C22⋊Q8—3162no—
1018#121—3162no—
1019#121—3162no—
1020#121—3162no—
1021#121—1584no—
1022#120—3162no—
1023#120—3162no—
1024#120—3162no—
1025#117—3162no—
1026#117—3162no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C4⋊C4C22×D7911yescharacteristic
1050C2×C4⋊C4C22×D7911yescharacteristic
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C22⋊C4C22×D7911yescharacteristic
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42C22×D7911yescharacteristic
1112C2×C42C22×D7911yescharacteristic
1113C2×C42C22×D7911yescharacteristic
1114#95—791no—
1115#95—791no—
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—3161no—
1159C24—3161no—
1160C24—3161no—
1161C24—3161no—
1162C24—791no—
1163C24—791no—
1164C24—791no—
1165C24—1582no—
1166C24—1582no—
1167C24—1582no—
1168C24C23×D7911yescharacteristic
1169C24C23×D7911yescharacteristic
1170C24C23×D7911yescharacteristic
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—3161no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—3161no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—3161no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—1582no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—31616no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—794no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—1582no—
1246C22×C4—1582no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—3161no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—1582no—
1285C4⋊C4—1582no—
1286C4⋊C4—1582no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—3161no—
1307C22⋊C4—3161no—
1308C22⋊C4—3161no—
1309C22⋊C4—3161no—
1310C22⋊C4—3161no—
1311C22⋊C4—3161no—
1312C22⋊C4—3161no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—3161no—
1352C42—3161no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—3164no—
1374C23—3164no—
1375C23—3164no—
1376C23—3164no—
1377C23—3164no—
1378C23—3164no—
1379C23—3164no—
1380C23—792no—
1381C23—792no—
1382C23—1581no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23#1457920612yes—
1402C23C24×D7911yescharacteristic
1403Q8—82no—
1404Q8—6322no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—6322no—
1409D4—6322no—
1410D4—6322no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—44no—
1453C2×C4—82no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—792no—
1459C2×C4—792no—
1460C2×C4—6322no—
1461C2×C4—6322no—
1462C2×C4—1588no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4#41×D7912yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—31616no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—1582no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22—1582no—
1543C22—1582no—
1544C22C2×#41×D7911yescharacteristic
1545C22H(5,𝔽2)×D7911yescharacteristic
1546C22H(5,𝔽2)×D7911yescharacteristic
1547C22C2×#1457920611yescharacteristic
1548C22#1909939911yescharacteristic
1549C22#1909939911yescharacteristic
1550C22#1909939911yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—1582no—
1575C4—1582no—
1576C2—42no—
1577C2—81no—
1578C2—81no—
1579C2—3162no—
1580C2—3162no—
1581C2—6321no—
1582C2#2377678311yescharacteristic
1583C2#2377708611yescharacteristic
1584C2#2377713011yescharacteristic
1585C2#2377756511yescharacteristic
1586C2#2377758511yescharacteristic
1587C2#2377766311yescharacteristic
1588C2#2377770111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2557C2
hypercenter#2557D79
hypocenterC79#36735
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. #23771691C2semidirect
2. #23771681C2semidirect
3. #23770604C2semidirect
4. #23770497C2semidirect
5. #23770482C2semidirect
6. #23770460C2semidirect
7. #23770448C2semidirect
8. #23770235C2semidirect
9. #23770036C2semidirect
10. #23769959C2semidirect
11. #23769951C2semidirect
12. #23769904C2semidirect
13. #23769833C2semidirect
14. #23769811C2semidirect
15. #23769782C2semidirect
16. #23769727C2semidirect
17. #23769651C2semidirect
18. #23769621C2semidirect
19. #23769574C2semidirect
20. #23769530C2semidirect
21. #23768950C2semidirect
22. #23768728C2semidirect
23. #23768496C2semidirect
24. #23767601C2semidirect
25. #23767591C2semidirect
26. #23767563C2semidirect
27. #23767513C2semidirect
28. #23766188C2semidirect
29. #23766160C2semidirect
30. #23765781C2semidirect
31. C79×#2557C2semidirect
37. C2×#14579143C22semidirect
39. C2×#14579140C22semidirect
49. #19098505C22semidirect
50. #19098505C22semidirect
51. #19098504C22semidirect
52. #19098504C22semidirect
53. #19098503C22semidirect
54. #19098498C22semidirect
55. #19098496C22semidirect
56. #19098493C22semidirect
58. #19098492C22semidirect
59. #19098492C22semidirect
63. #19098491C22semidirect
64. #19098491C22semidirect
65. #19098491C22semidirect
66. #19098491C22semidirect
70. #19098485C22semidirect
71. #19098483C22semidirect
72. #19098482C22semidirect
73. #19098482C22semidirect
77. #19098479C22semidirect
83. #19098477C22semidirect
86. #19098475C22semidirect
92. #19098471C22semidirect
93. #19098467C22semidirect
99. #19098463C22semidirect
100. #19098459C22semidirect
101. #19098457C22semidirect
102. #19098457C22semidirect
104. #19098456C22semidirect
106. #19098454C22semidirect
111. #19098452C22semidirect
112. #19098452C22semidirect
114. #19098451C22semidirect
115. #19098451C22semidirect
116. #19098450C22semidirect
117. #19098450C22semidirect
118. #19098448C22semidirect
119. #19098448C22semidirect
120. #19098447C22semidirect
121. #19098447C22semidirect
122. #19098447C22semidirect
123. #19098447C22semidirect
124. #19098446C22semidirect
125. #19098445C22semidirect
126. #19098445C22semidirect
131. #19098442C22semidirect
137. #19098440C22semidirect
143. #19098439C22semidirect
148. #19098435C22semidirect
149. #19098435C22semidirect
150. #19098430C22semidirect
159. #19098422C22semidirect
166. #19098414C22semidirect
167. C22⋊C4×Dic79C22semidirect
170. C4×(C2×D79)⋊C4C22semidirect
175. #397×C79C22semidirect
176. #393×C79C22semidirect
178. #391×C79C22semidirect
179. #390×C79C22semidirect
180. #388×C79C22semidirect
181. #387×C79C22semidirect
184. #386×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
818. #2557D79semidirect
826. C79#36735semidirect
865. #397C2×D79semidirect
887. #393C2×D79semidirect
895. #391C2×D79semidirect
902. #390C2×D79semidirect
919. #388C2×D79semidirect
931. #387C2×D79semidirect
951. #386C2×D79semidirect
981. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716912
#237716812
#237706042
#237704972
#237704822
#237704602
#237704482
#237702352
#237700362
#237699592
#237699512
#237699042
#237698332
#237698112
#237697822
#237697272
#237696512
#237696212
#237695742
#237695302
#237689502
#237687282
#237684962
#237676012
#237675912
#237675632
#237675132
#237661882
#237661602
#237657812
C79×#25572
#3673579