Finite Group Databasebeta

← #34495287

Subgroups — #34495287

Order 20224.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099159C211yesmaximal, characteristic, complemented
2C2×#123×D79C211yesmaximal, characteristic, complemented
3#23771684C211yesmaximal, characteristic, complemented
4#23771681C211yesmaximal, characteristic, complemented
5#23770110C211yesmaximal, characteristic, complemented
6#23770108C211yesmaximal, characteristic, complemented
7#23770098C211yesmaximal, characteristic, complemented
8#23770096C211yesmaximal, characteristic, complemented
9#23770079C211yesmaximal, characteristic, complemented
10#23770077C211yesmaximal, characteristic, complemented
11#23770071C211yesmaximal, characteristic, complemented
12#23770069C211yesmaximal, characteristic, complemented
13#23769768C211yesmaximal, characteristic, complemented
14#23769766C211yesmaximal, characteristic, complemented
15#23769763C211yesmaximal, characteristic, complemented
16#23769761C211yesmaximal, characteristic, complemented
17#23769759C211yesmaximal, characteristic, complemented
18#23769755C211yesmaximal, characteristic, complemented
19#23769748C211yesmaximal, characteristic, complemented
20#23769204C211yesmaximal, characteristic, complemented
21#23769139C211yesmaximal, characteristic, complemented
22#23768748C211yesmaximal, characteristic, complemented
23#23768745C211yesmaximal, characteristic, complemented
24#23766784C211yesmaximal, characteristic, complemented
25#23766782C211yesmaximal, characteristic, complemented
26#23766780C211yesmaximal, characteristic, complemented
27#23766778C211yesmaximal, characteristic, complemented
28#23766752C211yesmaximal, characteristic, complemented
29#23766751C211yesmaximal, characteristic, complemented
30#23766015C211yesmaximal, characteristic, complemented
31C79×#2681C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099159—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579151C2211yescharacteristic, complemented
38C2×#14579151C2211yescharacteristic, complemented
39C2×#14579146C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579146C2211yescharacteristic
42C2×#14579145C2211yescharacteristic
43C2×#14579144C2211yescharacteristic
44C2×#14579144C2211yescharacteristic, complemented
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579142C2211yescharacteristic
50#123×D79—28no—
51C2×#14579137C2211yescharacteristic
52C2×#14579137C2211yescharacteristic, complemented
53C2×#14579137C2211yescharacteristic, complemented
54C2×#14579135C2211yescharacteristic
55C2×#14579134C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579134C2211yescharacteristic, complemented
59C2×#14579133C2211yescharacteristic, complemented
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579129C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×#14579123C2211yescharacteristic
65C2×C4×C22⋊D79C2211yescharacteristic
66C2×#14579119C2211yescharacteristic
67C2×#14579118C2211yescharacteristic
68C2×C4⋊C4×D79C2211yescharacteristic
69C2×C4⋊C4×D79C2211yescharacteristic
70C2×C22⋊C4×D79C2211yescharacteristic
71C2×C22⋊C4×D79C2211yescharacteristic
72C2×C22⋊C4×D79C2211yescharacteristic
73#19098500C2211yescharacteristic, complemented
74#19098499C2211yescharacteristic, complemented
75#19098497C2211yescharacteristic, complemented
76#19098496C2211yescharacteristic, complemented
77#19098494C2211yescharacteristic, complemented
78#19098492C2211yescharacteristic, complemented
79#19098491C2211yescharacteristic, complemented
80#19098487C2211yescharacteristic, complemented
81#19098487C2211yescharacteristic, complemented
82#19098487C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic, complemented
86#19098486C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098485C2211yescharacteristic, complemented
91#19098485C2211yescharacteristic, complemented
92#19098485C2211yescharacteristic, complemented
93#19098485C2211yescharacteristic, complemented
94#19098485C2211yescharacteristic, complemented
95#19098481C2211yescharacteristic, complemented
96#19098480C2211yescharacteristic
97#19098480C2211yescharacteristic, complemented
98#19098480C2211yescharacteristic, complemented
99#19098479C2211yescharacteristic, complemented
100#19098479C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic, complemented
102#19098479C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic
104#19098478C2211yescharacteristic
105#19098478C2211yescharacteristic, complemented
106#19098478C2211yescharacteristic, complemented
107#19098477C2211yescharacteristic, complemented
108#19098474C2211yescharacteristic, complemented
109#19098473C2211yescharacteristic
110#19098472C2211yescharacteristic, complemented
111#19098471C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic, complemented
115#19098466C2211yescharacteristic
116#19098466C2211yescharacteristic, complemented
117#19098465C2211yescharacteristic, complemented
118#19098464C2211yescharacteristic
119#19098464C2211yescharacteristic, complemented
120#19098463C2211yescharacteristic
121#19098463C2211yescharacteristic
122#19098463C2211yescharacteristic, complemented
123#19098463C2211yescharacteristic, complemented
124#19098463C2211yescharacteristic, complemented
125#19098463C2211yescharacteristic, complemented
126#19098462C2211yescharacteristic, complemented
127#19098461C2211yescharacteristic, complemented
128#19098460C2211yescharacteristic, complemented
129#19098460C2211yescharacteristic, complemented
130#19098459C2211yescharacteristic, complemented
131#19098458C2211yescharacteristic, complemented
132#19098458C2211yescharacteristic, complemented
133#19098457C2211yescharacteristic, complemented
134#19098456C2211yescharacteristic, complemented
135#19098455C2211yescharacteristic, complemented
136#19098454C2211yescharacteristic, complemented
137#19098453C2211yescharacteristic, complemented
138#19098452C2211yescharacteristic, complemented
139#19098451C2211yescharacteristic, complemented
140#19098450C2211yescharacteristic, complemented
141#19098448C2211yescharacteristic, complemented
142#19098446C2211yescharacteristic, complemented
143#19098444C2211yescharacteristic, complemented
144#19098442C2211yescharacteristic, complemented
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic, complemented
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098437C2211yescharacteristic
152#19098437C2211yescharacteristic
153#19098437C2211yescharacteristic, complemented
154#19098436C2211yescharacteristic, complemented
155#19098435C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098434C2211yescharacteristic, complemented
162#19098423C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic
164#19098422C2211yescharacteristic
165#19098422C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic
168#19098420C2211yescharacteristic
169#19098420C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×#123×C79C2211yescharacteristic
175C2×C22⋊Q8×C79C2211yescharacteristic, complemented
176C2×C22⋊Q8×C79C2211yescharacteristic, complemented
177C2×#121×C79C2211yescharacteristic
178#398×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic, complemented
182#394×C79C2211yescharacteristic, complemented
183#393×C79C2211yescharacteristic, complemented
184#390×C79C2211yescharacteristic, complemented
185#389×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic, complemented
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C2×D4×D79—24no—
204C2×D4×D79—42no—
205C2×D4×D79—42no—
206C23×Dic79C2311yescharacteristic
207C22×C4×D79—24no—
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218#14579156—24no—
219#14579154—24no—
220#14579151—24no—
221#14579151—24no—
222#14579146—24no—
223#14579146—24no—
224#14579146—24no—
225#14579145—24no—
226#14579144—24no—
227#14579144—24no—
228#14579143—24no—
229#14579143—24no—
230#14579143—24no—
231#14579143—24no—
232#14579142—24no—
233#14579137—24no—
234#14579137—24no—
235#14579137—42no—
236#14579135—42no—
237#14579134—24no—
238#14579134—42no—
239#14579134—42no—
240#14579134—42no—
241#14579133—42no—
242#14579131—42no—
243#14579131—42no—
244#14579129—42no—
245#14579129—42no—
246#14579123—24no—
247C4×C22⋊D79—24no—
248#14579119—42no—
249#14579118—42no—
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C4⋊C4×D79—24no—
280C4⋊C4×D79D418yescomplemented
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C2×(C2×D79)⋊C4C2311yescharacteristic
323C2×(C2×D79)⋊C4C2311yescharacteristic
324C2×(C2×D79)⋊C4C2311yescharacteristic
325C2×(C2×D79)⋊C4C2311yescharacteristic
326C22⋊C4×D79—24no—
327C22⋊C4×D79—24no—
328C22⋊C4×D79—24no—
329C2×C4×Dic79C2311yescharacteristic
330C2×C4×Dic79C2311yescharacteristic
331C2×C4×Dic79C2311yescharacteristic
332C2×C4×Dic79C2311yescharacteristic
333C2×C4×Dic79C2311yescharacteristic
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
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C22×Q8×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358#123×C79—24no—
359C22⋊Q8×C79—24no—
360C22⋊Q8×C79—42no—
361#121×C79—42no—
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C42×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—22no—
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—22no—
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—22no—
430C2×C22⋊D79—22no—
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—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445D4×D79—416no—
446C22×Dic79—22no—
447C22×Dic79—22no—
448C22×Dic79—41no—
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
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—41no—
477C2×C4×D79—41no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—41no—
481C2×C4×D79—41no—
482C2×C4×D79—416no—
483C2×C4×D79C2×D414yes—
484C2×C4×D79C2×D414yes—
485C2×C4×D79C2×D414yes—
486C4⋊Dic79—22no—
487C4⋊Dic79—22no—
488C4⋊Dic79—22no—
489C4⋊Dic79—41no—
490C4⋊Dic79—41no—
491C4⋊Dic79—41no—
492C4⋊Dic79—41no—
493C4⋊Dic79—41no—
494C4⋊Dic79C2×D414yes—
495Dic79⋊C4—22no—
496Dic79⋊C4—22no—
497Dic79⋊C4—22no—
498Dic79⋊C4—22no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—41no—
504Dic79⋊C4—41no—
505Dic79⋊C4—41no—
506Dic79⋊C4—41no—
507Dic79⋊C4—41no—
508Dic79⋊C4—41no—
509Dic79⋊C4—41no—
510Dic79⋊C4—41no—
511Dic79⋊C4—41no—
512Dic79⋊C4—41no—
513Dic79⋊C4C2×D414yes—
514Dic79⋊C4C2×D414yes—
515C22⋊Dic79—22no—
516C22⋊Dic79—22no—
517C22⋊Dic79—22no—
518C22⋊Dic79—22no—
519C22⋊Dic79—22no—
520C22⋊Dic79—41no—
521C22⋊Dic79—41no—
522C22⋊Dic79—41no—
523C22⋊Dic79—41no—
524C22⋊Dic79—41no—
525C22⋊Dic79—41no—
526C22⋊Dic79—41no—
527C22⋊Dic79—41no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
540(C2×D79)⋊C4—22no—
541(C2×D79)⋊C4—22no—
542(C2×D79)⋊C4—22no—
543(C2×D79)⋊C4—22no—
544(C2×D79)⋊C4—22no—
545(C2×D79)⋊C4—22no—
546(C2×D79)⋊C4—41no—
547(C2×D79)⋊C4—41no—
548(C2×D79)⋊C4—41no—
549(C2×D79)⋊C4—41no—
550(C2×D79)⋊C4—41no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553(C2×D79)⋊C4—41no—
554(C2×D79)⋊C4—41no—
555(C2×D79)⋊C4—41no—
556(C2×D79)⋊C4—41no—
557(C2×D79)⋊C4—41no—
558(C2×D79)⋊C4—41no—
559(C2×D79)⋊C4—41no—
560C4×Dic79—22no—
561C4×Dic79—22no—
562C4×Dic79—41no—
563C4×Dic79—41no—
564C4×Dic79—41no—
565C24×C79C2411yescharacteristic
566C24×C79C2411yescharacteristic
567C24×C79C2411yescharacteristic
568C2×Q8×C79—22no—
569C2×Q8×C79—41no—
570C2×Q8×C79—41no—
571C2×D4×C79—22no—
572C2×D4×C79—22no—
573C2×D4×C79—22no—
574C2×D4×C79—41no—
575C2×D4×C79—41no—
576C2×D4×C79—41no—
577C2×D4×C79—41no—
578C2×D4×C79—41no—
579C2×D4×C79—41no—
580C22×C4×C79—22no—
581C22×C4×C79—22no—
582C22×C4×C79—22no—
583C22×C4×C79—41no—
584C22×C4×C79—41no—
585C22×C4×C79—41no—
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C22×C4×C79C2411yescharacteristic
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C4⋊C4×C79—22no—
599C4⋊C4×C79—22no—
600C4⋊C4×C79—22no—
601C4⋊C4×C79—41no—
602C4⋊C4×C79—41no—
603C4⋊C4×C79—41no—
604C4⋊C4×C79—41no—
605C4⋊C4×C79—41no—
606C4⋊C4×C79C2×D414yes—
607C22⋊C4×C79—22no—
608C22⋊C4×C79—22no—
609C22⋊C4×C79—22no—
610C22⋊C4×C79—22no—
611C22⋊C4×C79—22no—
612C22⋊C4×C79—22no—
613C22⋊C4×C79—22no—
614C22⋊C4×C79—41no—
615C22⋊C4×C79—41no—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79—41no—
619C22⋊C4×C79—41no—
620C42×C79—41no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79H(5,𝔽2)12yes—
642C23×C79C2511yescharacteristic
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—28no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—44no—
669C22×D79—44no—
670C22×D79—44no—
671C22×D79—44no—
672C22×D79—44no—
673C22×D79—44no—
674C22×D79—44no—
675C22×D79—44no—
676C22×D79—44no—
677C22×D79—82no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79—82no—
681C22×D79C22×D412yes—
682C22×D79H(5,𝔽2)12yes—
683C22×D79H(5,𝔽2)12yes—
684C22×D792−1+412yes—
685Q8×C79—82no—
686D4×C79—44no—
687D4×C79—82no—
688D4×C79—82no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—44no—
723C2×C4×C79—82no—
724C2×C4×C79C22×D412yes—
725C2×C4×C79C22×D412yes—
726C2×C4×C79C22×D412yes—
727C22⋊D79—44no—
728C22⋊D79—44no—
729C22⋊D79—44no—
730C22⋊D79—82no—
731C22⋊D79—82no—
732C22⋊D79—82no—
733C22⋊D79—82no—
734C22⋊D79—82no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—44no—
769C2×Dic79C22×D412yes—
770C2×Dic79C22×D412yes—
771C2×Dic79C22×D412yes—
772D316—44no—
773D316—44no—
774D316—82no—
775D316—82no—
776C4×D79—28no—
777C4×D79—44no—
778C4×D79—44no—
779C4×D79—44no—
780C4×D79—44no—
781C4×D79—44no—
782C4×D79—44no—
783C4×D79—82no—
784C22×C79—22no—
785C22×C79—22no—
786C22×C79—22no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79C23×D411yescharacteristic
806C22×C79C2×H(5,𝔽2)11yescharacteristic
807C22×C79C2×H(5,𝔽2)11yescharacteristic
808C22×C79C2×H(5,𝔽2)11yescharacteristic
809C22×C79C2×2−1+411yescharacteristic
810C22×C79#58511yescharacteristic
811C22×C79#58511yescharacteristic
812C2×D79—22no—
813C2×D79—22no—
814C2×D79—22no—
815C2×D79—22no—
816C2×D79—22no—
817C2×D79—22no—
818C2×D79—22no—
819C2×D79—22no—
820C2×D79—22no—
821C2×D79—416no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—41no—
827C2×D79—41no—
828C2×D79—41no—
829C2×D79—41no—
830C2×D79—41no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—88no—
841C2×D79#53714yes—
842C4×C79—22no—
843C4×C79—22no—
844C4×C79—22no—
845C4×C79—41no—
846C4×C79—41no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854Dic79—22no—
855Dic79—22no—
856Dic79—22no—
857Dic79—41no—
858Dic79—41no—
859Dic79—41no—
860Dic79—41no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866#36722—791nomaximal, Sylow
867C2×C79—42no—
868C2×C79—81no—
869C2×C79—81no—
870C2×C79C2×#53711yescharacteristic
871C2×C79#348411yescharacteristic
872C2×C79#348711yescharacteristic
873C2×C79#353411yescharacteristic
874C2×C79#353411yescharacteristic
875C2×C79#353511yescharacteristic
876C2×C79#353511yescharacteristic
877D79—24no—
878D79—42no—
879D79—81no—
880D79—81no—
881C2×#539—791no—
882C22×#123—791no—
883#2848—791no—
884#2847—791no—
885#2707—791no—
886#2707—791no—
887#2707—791no—
888#2707—791no—
889#2705—791no—
890#2705—791no—
891#2705—791no—
892#2705—791no—
893#2682—791no—
894#2682—791no—
895#2682—791no—
896#2682—791no—
897#2681—791no—
898#2681—791no—
899#2681—791no—
900#2681D7911yescharacteristic, complemented
901#2626—791no—
902#2617—791no—
903#2579—791no—
904#2579—791no—
905#2411—791no—
906#2411—791no—
907#2411—791no—
908#2411—791no—
909#2408—791no—
910#2408—791no—
911#2316—791no—
912C79#3672211yescharacteristic, complemented, Sylow
913C23×D4—791no—
914C24×C4—791no—
915#539—1588no—
916C2×#126—791no—
917C2×#126—791no—
918C2×#125—791no—
919C2×#125—791no—
920C2×#123—791no—
921C2×#123—791no—
922C2×#123—791no—
923C2×#123—791no—
924C2×#123—791no—
925C2×#123—791no—
926C2×#123—791no—
927C2×#123—791no—
928C2×#123—791no—
929C2×#123—791no—
930C2×#123—791no—
931C2×#123—1588no—
932C2×#123C2×D7911yescharacteristic
933C2×C22⋊Q8—791no—
934C2×C22⋊Q8—791no—
935C2×C22⋊Q8—791no—
936C2×C22⋊Q8C2×D7911yescharacteristic, complemented
937C2×C22⋊Q8C2×D7911yescharacteristic, complemented
938C2×#121—791no—
939C2×#121—791no—
940C2×#121—791no—
941C2×#121—791no—
942C2×#121—791no—
943C2×#121—791no—
944C2×#121C2×D7911yescharacteristic
945C2×#120—791no—
946C2×#120—791no—
947C2×#120—791no—
948C2×#120—791no—
949C2×C4×D4—791no—
950C2×C4×D4—791no—
951C2×#117—791no—
952C2×#117—791no—
953C22×C4⋊C4—791no—
954C22×C4⋊C4—791no—
955C22×C22⋊C4—791no—
956C22×C22⋊C4—791no—
957C22×C22⋊C4—791no—
958#399—791no—
959#399—791no—
960#398—791no—
961#398—791no—
962#398—791no—
963#398C2×D7911yescharacteristic, complemented
964#397—791no—
965#397—791no—
966#396—791no—
967#396—791no—
968#396—791no—
969#396—791no—
970#396—791no—
971#396—791no—
972#396—791no—
973#396—791no—
974#396—791no—
975#396—791no—
976#396—791no—
977#396—791no—
978#396—791no—
979#396—791no—
980#396—791no—
981#396C2×D7911yescharacteristic, complemented
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#394—791no—
988#394—791no—
989#394—791no—
990#394—791no—
991#394—791no—
992#394—791no—
993#394—791no—
994#394—791no—
995#394C2×D7911yescharacteristic
996#394C2×D7911yescharacteristic, complemented
997#394C2×D7911yescharacteristic, complemented
998#393—791no—
999#393C2×D7911yescharacteristic, complemented
1000#392—791no—
1001#392—791no—
1002#392—791no—
1003#392—791no—
1004#392—791no—
1005#392—791no—
1006#390—791no—
1007#390—791no—
1008#390—791no—
1009#390—791no—
1010#390—791no—
1011#390—791no—
1012#390—791no—
1013#390—791no—
1014#390—791no—
1015#390—791no—
1016#390—791no—
1017#390C2×D7911yescharacteristic, complemented
1018#389—791no—
1019#389—791no—
1020#389—791no—
1021#389—791no—
1022#389—791no—
1023#389—791no—
1024#389—791no—
1025#389C2×D7911yescharacteristic, complemented
1026#388—791no—
1027#388—791no—
1028#388—791no—
1029#388—791no—
1030#388—791no—
1031#388—791no—
1032#388—791no—
1033#388C2×D7911yescharacteristic, complemented
1034#387—791no—
1035#387—791no—
1036#387—791no—
1037#387—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386C2×D7911yescharacteristic, complemented
1046#385—791no—
1047#385—791no—
1048#385—791no—
1049#385—791no—
1050#385—791no—
1051#385—791no—
1052#385—791no—
1053#385—791no—
1054#385—791no—
1055#385—791no—
1056#385—791no—
1057#385C2×D7911yescharacteristic, complemented
1058#380—791no—
1059#380—791no—
1060#380—791no—
1061#380—791no—
1062#380—791no—
1063#380—791no—
1064#380—791no—
1065#380—791no—
1066#379—791no—
1067#379—791no—
1068#379—791no—
1069#379—791no—
1070C25—791no—
1071C25—791no—
1072C22×Q8C22×D7911yescharacteristic
1073C22×D4—3162no—
1074C22×D4—3162no—
1075C22×D4—791no—
1076C22×D4—791no—
1077C22×D4—791no—
1078C22×D4—791no—
1079C22×D4—791no—
1080C22×D4—791no—
1081C22×D4—791no—
1082C22×D4—791no—
1083C22×D4—791no—
1084C22×D4—791no—
1085C22×D4—791no—
1086C22×D4—791no—
1087C22×D4—1584no—
1088C22×D4C22×D7911yescharacteristic
1089C22×D4C22×D7911yescharacteristic
1090C22×D4C22×D7911yescharacteristic
1091C23×C4—3162no—
1092C23×C4—3162no—
1093C23×C4—791no—
1094C23×C4—791no—
1095C23×C4—791no—
1096C23×C4—791no—
1097C23×C4—791no—
1098C23×C4—791no—
1099C23×C4—791no—
1100C23×C4—791no—
1101C23×C4—791no—
1102C23×C4—1584no—
1103C23×C4C22×D7911yescharacteristic
1104C23×C4C22×D7911yescharacteristic
1105#126—1584no—
1106#126—1584no—
1107#125—1584no—
1108#125—1584no—
1109#123—24no—
1110#123—1584no—
1111#123—1584no—
1112#123—1584no—
1113#123—1584no—
1114#123—1584no—
1115#123—1584no—
1116#123—1584no—
1117#123—1584no—
1118#123—1584no—
1119#123—1584no—
1120#123—1584no—
1121C22⋊Q8—24no—
1122C22⋊Q8—42no—
1123C22⋊Q8—3162no—
1124C22⋊Q8—1584no—
1125C22⋊Q8—1584no—
1126#121—42no—
1127#121—3162no—
1128#121—3162no—
1129#121—3162no—
1130#121—3162no—
1131#121—3162no—
1132#121—1584no—
1133#120—3162no—
1134#120—3162no—
1135#120—3162no—
1136#120—3162no—
1137C4×D4—1584no—
1138C4×D4—1584no—
1139#117—3162no—
1140#117—3162no—
1141C2×C4⋊C4—791no—
1142C2×C4⋊C4—791no—
1143C2×C4⋊C4—791no—
1144C2×C4⋊C4—791no—
1145C2×C4⋊C4—791no—
1146C2×C4⋊C4—791no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4—791no—
1159C2×C4⋊C4—798no—
1160C2×C4⋊C4—791no—
1161C2×C4⋊C4—791no—
1162C2×C4⋊C4—791no—
1163C2×C4⋊C4—791no—
1164C2×C4⋊C4—791no—
1165C2×C4⋊C4—791no—
1166C2×C4⋊C4—791no—
1167C2×C4⋊C4—791no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—1584no—
1172C2×C4⋊C4C22×D7911yescharacteristic
1173C2×C4⋊C4C22×D7911yescharacteristic
1174C2×C4⋊C4C22×D7911yescharacteristic
1175C2×C4⋊C4C22×D7911yescharacteristic
1176C2×C4⋊C4C22×D7911yescharacteristic
1177C2×C4⋊C4C22×D7911yescharacteristic
1178C2×C4⋊C4C22×D7911yescharacteristic
1179C2×C4⋊C4C22×D7911yescharacteristic
1180C2×C4⋊C4C22×D7911yescharacteristic
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—791no—
1221C2×C22⋊C4—791no—
1222C2×C22⋊C4—791no—
1223C2×C22⋊C4—791no—
1224C2×C22⋊C4—791no—
1225C2×C22⋊C4—791no—
1226C2×C22⋊C4—1584no—
1227C2×C22⋊C4—1584no—
1228C2×C22⋊C4—1584no—
1229C2×C22⋊C4C22×D7911yescharacteristic
1230C2×C22⋊C4C22×D7911yescharacteristic
1231C2×C22⋊C4C22×D7911yescharacteristic
1232C2×C22⋊C4C22×D7911yescharacteristic
1233C2×C22⋊C4C22×D7911yescharacteristic
1234C2×C22⋊C4C22×D7911yescharacteristic
1235C2×C22⋊C4C22×D7911yescharacteristic
1236C2×C22⋊C4C22×D7911yescharacteristic
1237C2×C22⋊C4C22×D7911yescharacteristic
1238C2×C22⋊C4C22×D7911yescharacteristic
1239C2×C22⋊C4C22×D7911yescharacteristic
1240C2×C22⋊C4C22×D7911yescharacteristic
1241C2×C22⋊C4C22×D7911yescharacteristic
1242C2×C42—791no—
1243C2×C42—791no—
1244C2×C42—791no—
1245C2×C42—791no—
1246C2×C42—791no—
1247C2×C42C22×D7911yescharacteristic
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95—791no—
1263#95—791no—
1264#95—791no—
1265#95—791no—
1266#95C22×D7911yescharacteristic
1267#95C22×D7911yescharacteristic
1268#95C22×D7911yescharacteristic
1269#95C22×D7911yescharacteristic
1270#95C22×D7911yescharacteristic
1271#95C22×D7911yescharacteristic
1272C24—3161no—
1273C24—3161no—
1274C24—3161no—
1275C24—3161no—
1276C24—3161no—
1277C24—3161no—
1278C24—791no—
1279C24—791no—
1280C24—791no—
1281C24—791no—
1282C24—1582no—
1283C24—1582no—
1284C24—1582no—
1285C24—1582no—
1286C24—1582no—
1287C24—1582no—
1288C24—1582no—
1289C24—1582no—
1290C24C23×D7911yescharacteristic
1291C24C23×D7911yescharacteristic
1292C24C23×D7911yescharacteristic
1293C2×Q8—22no—
1294C2×Q8—41no—
1295C2×Q8—41no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—3161no—
1306C2×D4—3161no—
1307C2×D4—3161no—
1308C2×D4—3161no—
1309C2×D4—3161no—
1310C2×D4—3161no—
1311C2×D4—31616no—
1312C2×D4—3161no—
1313C2×D4—3161no—
1314C2×D4—3161no—
1315C2×D4—3161no—
1316C2×D4—3161no—
1317C2×D4—3161no—
1318C2×D4—3161no—
1319C2×D4—3161no—
1320C2×D4—3161no—
1321C2×D4—3161no—
1322C2×D4—3161no—
1323C2×D4—3161no—
1324C2×D4—3161no—
1325C2×D4—3161no—
1326C2×D4—1582no—
1327C2×D4—1582no—
1328C2×D4—1582no—
1329C2×D4—1582no—
1330C2×D4—1582no—
1331C2×D4—1582no—
1332C2×D4—1582no—
1333C2×D4—1582no—
1334C2×D4—1582no—
1335C2×D4—1582no—
1336C2×D4—1582no—
1337C2×D4—1582no—
1338C2×D4—1582no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1582no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—3161no—
1349C22×C4—3161no—
1350C22×C4—3161no—
1351C22×C4—3161no—
1352C22×C4—3161no—
1353C22×C4—3161no—
1354C22×C4—3161no—
1355C22×C4—3161no—
1356C22×C4—3161no—
1357C22×C4—3161no—
1358C22×C4—3161no—
1359C22×C4—3161no—
1360C22×C4—31616no—
1361C22×C4—3161no—
1362C22×C4—794no—
1363C22×C4—794no—
1364C22×C4—791no—
1365C22×C4—791no—
1366C22×C4—791no—
1367C22×C4—794no—
1368C22×C4—791no—
1369C22×C4—791no—
1370C22×C4—791no—
1371C22×C4—791no—
1372C22×C4—791no—
1373C22×C4—791no—
1374C22×C4—791no—
1375C22×C4—791no—
1376C22×C4—791no—
1377C22×C4—1582no—
1378C22×C4—1582no—
1379C22×C4—1582no—
1380C22×C4—1582no—
1381C22×C4—1582no—
1382C22×C4—1582no—
1383C22×C4—1582no—
1384C22×C4—1582no—
1385C22×C4—1582no—
1386C22×C4—1582no—
1387C22×C4—1582no—
1388C22×C4C23×D7911yescharacteristic
1389C22×C4C23×D7911yescharacteristic
1390C22×C4C23×D7911yescharacteristic
1391C22×C4C23×D7911yescharacteristic
1392C22×C4C23×D7911yescharacteristic
1393C22×C4C23×D7911yescharacteristic
1394C22×C4C23×D7911yescharacteristic
1395C22×C4C23×D7911yescharacteristic
1396C22×C4C23×D7911yescharacteristic
1397C22×C4C23×D7911yescharacteristic
1398C22×C4C23×D7911yescharacteristic
1399C22×C4C23×D7911yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—3161no—
1409C4⋊C4—3161no—
1410C4⋊C4—3161no—
1411C4⋊C4—3161no—
1412C4⋊C4—3161no—
1413C4⋊C4—3161no—
1414C4⋊C4—3161no—
1415C4⋊C4—3161no—
1416C4⋊C4—3161no—
1417C4⋊C4—3161no—
1418C4⋊C4—3161no—
1419C4⋊C4—3161no—
1420C4⋊C4—3161no—
1421C4⋊C4—3161no—
1422C4⋊C4—3161no—
1423C4⋊C4—794no—
1424C4⋊C4—794no—
1425C4⋊C4—794no—
1426C4⋊C4—1582no—
1427C4⋊C4—1582no—
1428C4⋊C4—1582no—
1429C4⋊C4—1582no—
1430C4⋊C4—1582no—
1431C4⋊C4—1582no—
1432C4⋊C4—1582no—
1433C4⋊C4—1582no—
1434C4⋊C4—1582no—
1435C4⋊C4—1582no—
1436C4⋊C4—1582no—
1437C4⋊C4D4×D7914yes—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—3161no—
1452C22⋊C4—3161no—
1453C22⋊C4—3161no—
1454C22⋊C4—3161no—
1455C22⋊C4—3161no—
1456C22⋊C4—3161no—
1457C22⋊C4—3161no—
1458C22⋊C4—3161no—
1459C22⋊C4—3161no—
1460C22⋊C4—3161no—
1461C22⋊C4—3161no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—3161no—
1473C22⋊C4—1582no—
1474C22⋊C4—1582no—
1475C22⋊C4—1582no—
1476C22⋊C4—1582no—
1477C22⋊C4—1582no—
1478C22⋊C4—1582no—
1479C22⋊C4—1582no—
1480C22⋊C4—1582no—
1481C22⋊C4—1582no—
1482C22⋊C4—1582no—
1483C22⋊C4—1582no—
1484C22⋊C4—1582no—
1485C22⋊C4—1582no—
1486C22⋊C4—1582no—
1487C22⋊C4—1582no—
1488C22⋊C4—1582no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C42—41no—
1497C42—3161no—
1498C42—3161no—
1499C42—3161no—
1500C42—1582no—
1501C42—1582no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—3164no—
1523C23—3164no—
1524C23—3164no—
1525C23—3164no—
1526C23—3164no—
1527C23—3164no—
1528C23—3164no—
1529C23—3164no—
1530C23—3164no—
1531C23—792no—
1532C23—792no—
1533C23—792no—
1534C23—792no—
1535C23—6322no—
1536C23—6322no—
1537C23—6322no—
1538C23—6322no—
1539C23—1588no—
1540C23—1581no—
1541C23—1581no—
1542C23—1581no—
1543C23—1581no—
1544C23—1581no—
1545C23—1581no—
1546C23—1581no—
1547C23—1581no—
1548C23—1581no—
1549C23—1581no—
1550C23—1581no—
1551C23—1581no—
1552C23—1581no—
1553C23—1581no—
1554C23—1581no—
1555C23—1581no—
1556C23—1581no—
1557C23—1581no—
1558C23—1581no—
1559C23—1581no—
1560C23—1581no—
1561C23—1581no—
1562C23—1581no—
1563C23—1581no—
1564C23#1457920612yes—
1565C23C24×D7911yescharacteristic
1566Q8—82no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—3164no—
1571D4—3164no—
1572D4—3164no—
1573D4—3164no—
1574D4—3164no—
1575D4—6322no—
1576D4—6322no—
1577D4—6322no—
1578D4—6322no—
1579D4—6322no—
1580D4—6322no—
1581D4—6322no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—44no—
1616C2×C4—82no—
1617C2×C4—3164no—
1618C2×C4—3164no—
1619C2×C4—3164no—
1620C2×C4—3164no—
1621C2×C4—3164no—
1622C2×C4—3164no—
1623C2×C4—3164no—
1624C2×C4—792no—
1625C2×C4—792no—
1626C2×C4—792no—
1627C2×C4—6322no—
1628C2×C4—1588no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4—1581no—
1636C2×C4—1581no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4—1581no—
1640C2×C4—1581no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4—1581no—
1655C2×C4—1581no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4—1581no—
1661C2×C4—1581no—
1662C2×C4C2×D4×D7912yes—
1663C2×C4C2×D4×D7912yes—
1664C2×C4C2×D4×D7912yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—31616no—
1687C22—3161no—
1688C22—3161no—
1689C22—3161no—
1690C22—3161no—
1691C22—3161no—
1692C22—3161no—
1693C22—3161no—
1694C22—3161no—
1695C22—3161no—
1696C22—3161no—
1697C22—3161no—
1698C22—3161no—
1699C22—3161no—
1700C22—3161no—
1701C22—3161no—
1702C22—3161no—
1703C22—3161no—
1704C22—3161no—
1705C22—794no—
1706C22—6328no—
1707C22—1582no—
1708C22—1582no—
1709C22—1582no—
1710C22—1582no—
1711C22—1582no—
1712C22—1582no—
1713C22—1582no—
1714C22—1582no—
1715C22—1582no—
1716C22C22×D4×D7911yescharacteristic
1717C22H(5,𝔽2)×D7911yescharacteristic
1718C22H(5,𝔽2)×D7911yescharacteristic
1719C22C2×#1457920611yescharacteristic
1720C222−1+4×D7911yescharacteristic
1721C22#1909939911yescharacteristic
1722C22#1909940011yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—3161no—
1736C4—3161no—
1737C4—3161no—
1738C4—3161no—
1739C4—3161no—
1740C4—3161no—
1741C4—3161no—
1742C4—3161no—
1743C4—3161no—
1744C4—1582no—
1745C4—1582no—
1746C4—1582no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—3162no—
1751C2—6321no—
1752C2—6321no—
1753C2—1584no—
1754C2#537×D7911yescharacteristic
1755C2#2377702811yescharacteristic
1756C2#2377705711yescharacteristic
1757C2#2377758211yescharacteristic
1758C2#2377759211yescharacteristic
1759C2#2377759911yescharacteristic
1760C2#2377760811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2681C2
hypercenter#2681D79
hypocenterC79#36722
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#19099159C2semidirect
2. C2×#123×D79C2semidirect
3. #23771684C2semidirect
4. #23771681C2semidirect
5. #23770110C2semidirect
6. #23770108C2semidirect
7. #23770098C2semidirect
8. #23770096C2semidirect
9. #23770079C2semidirect
10. #23770077C2semidirect
11. #23770071C2semidirect
12. #23770069C2semidirect
13. #23769768C2semidirect
14. #23769766C2semidirect
15. #23769763C2semidirect
16. #23769761C2semidirect
17. #23769759C2semidirect
18. #23769755C2semidirect
19. #23769748C2semidirect
20. #23769204C2semidirect
21. #23769139C2semidirect
22. #23768748C2semidirect
23. #23768745C2semidirect
24. #23766784C2semidirect
25. #23766782C2semidirect
26. #23766780C2semidirect
27. #23766778C2semidirect
28. #23766752C2semidirect
29. #23766751C2semidirect
30. #23766015C2semidirect
31. C79×#2681C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579151C22semidirect
38. C2×#14579151C22semidirect
44. C2×#14579144C22semidirect
48. C2×#14579143C22semidirect
52. C2×#14579137C22semidirect
53. C2×#14579137C22semidirect
58. C2×#14579134C22semidirect
59. C2×#14579133C22semidirect
73. #19098500C22semidirect
74. #19098499C22semidirect
75. #19098497C22semidirect
76. #19098496C22semidirect
77. #19098494C22semidirect
78. #19098492C22semidirect
79. #19098491C22semidirect
80. #19098487C22semidirect
81. #19098487C22semidirect
82. #19098487C22semidirect
83. #19098486C22semidirect
84. #19098486C22semidirect
85. #19098486C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098486C22semidirect
89. #19098486C22semidirect
90. #19098485C22semidirect
91. #19098485C22semidirect
92. #19098485C22semidirect
93. #19098485C22semidirect
94. #19098485C22semidirect
95. #19098481C22semidirect
97. #19098480C22semidirect
98. #19098480C22semidirect
99. #19098479C22semidirect
100. #19098479C22semidirect
101. #19098479C22semidirect
102. #19098479C22semidirect
105. #19098478C22semidirect
106. #19098478C22semidirect
107. #19098477C22semidirect
108. #19098474C22semidirect
110. #19098472C22semidirect
114. #19098471C22semidirect
116. #19098466C22semidirect
117. #19098465C22semidirect
119. #19098464C22semidirect
122. #19098463C22semidirect
123. #19098463C22semidirect
124. #19098463C22semidirect
125. #19098463C22semidirect
126. #19098462C22semidirect
127. #19098461C22semidirect
128. #19098460C22semidirect
129. #19098460C22semidirect
130. #19098459C22semidirect
131. #19098458C22semidirect
132. #19098458C22semidirect
133. #19098457C22semidirect
134. #19098456C22semidirect
135. #19098455C22semidirect
136. #19098454C22semidirect
137. #19098453C22semidirect
138. #19098452C22semidirect
139. #19098451C22semidirect
140. #19098450C22semidirect
141. #19098448C22semidirect
142. #19098446C22semidirect
143. #19098444C22semidirect
144. #19098442C22semidirect
147. #19098441C22semidirect
150. #19098439C22semidirect
153. #19098437C22semidirect
154. #19098436C22semidirect
155. #19098435C22semidirect
156. #19098435C22semidirect
159. #19098434C22semidirect
160. #19098434C22semidirect
161. #19098434C22semidirect
162. #19098423C22semidirect
165. #19098422C22semidirect
166. #19098421C22semidirect
169. #19098420C22semidirect
175. C2×C22⋊Q8×C79C22semidirect
176. C2×C22⋊Q8×C79C22semidirect
178. #398×C79C22semidirect
179. #396×C79C22semidirect
181. #394×C79C22semidirect
182. #394×C79C22semidirect
183. #393×C79C22semidirect
184. #390×C79C22semidirect
185. #389×C79C22semidirect
186. #388×C79C22semidirect
187. #386×C79C22semidirect
188. #385×C79C22semidirect
280. C4⋊C4×D79D4semidirect
900. #2681D79semidirect
912. C79#36722semidirect
936. C2×C22⋊Q8C2×D79semidirect
937. C2×C22⋊Q8C2×D79semidirect
963. #398C2×D79semidirect
981. #396C2×D79semidirect
996. #394C2×D79semidirect
997. #394C2×D79semidirect
999. #393C2×D79semidirect
1017. #390C2×D79semidirect
1025. #389C2×D79semidirect
1033. #388C2×D79semidirect
1045. #386C2×D79semidirect
1057. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991592
C2×#123×D792
#237716842
#237716812
#237701102
#237701082
#237700982
#237700962
#237700792
#237700772
#237700712
#237700692
#237697682
#237697662
#237697632
#237697612
#237697592
#237697552
#237697482
#237692042
#237691392
#237687482
#237687452
#237667842
#237667822
#237667802
#237667782
#237667522
#237667512
#237660152
C79×#26812
#3672279