Finite Group Databasebeta

← #34496600

Subgroups — #34496600

Order 20224.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771695C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic, complemented
3#23771025C211yesmaximal, characteristic, complemented
4#23771017C211yesmaximal, characteristic, complemented
5#23770778C211yesmaximal, characteristic, complemented
6#23770643C211yesmaximal, characteristic, complemented
7#23770630C211yesmaximal, characteristic, complemented
8#23770622C211yesmaximal, characteristic, complemented
9#23770532C211yesmaximal, characteristic, complemented
10#23770042C211yesmaximal, characteristic, complemented
11#23769958C211yesmaximal, characteristic, complemented
12#23769943C211yesmaximal, characteristic, complemented
13#23769843C211yesmaximal, characteristic, complemented
14#23769841C211yesmaximal, characteristic, complemented
15#23769782C211yesmaximal, characteristic, complemented
16#23769724C211yesmaximal, characteristic, complemented
17#23769707C211yesmaximal, characteristic, complemented
18#23769610C211yesmaximal, characteristic, complemented
19#23769328C211yesmaximal, characteristic, complemented
20#23767966C211yesmaximal, characteristic, complemented
21#23767531C211yesmaximal, characteristic, complemented
22#23767156C211yesmaximal, characteristic, complemented
23#23767065C211yesmaximal, characteristic, complemented
24#23766934C211yesmaximal, characteristic, complemented
25#23766773C211yesmaximal, characteristic, complemented
26#23766772C211yesmaximal, characteristic, complemented
27#23766712C211yesmaximal, characteristic, complemented
28#23766057C211yesmaximal, characteristic, complemented
29#23765974C211yesmaximal, characteristic, complemented
30C2×#19098441C211yesmaximal, characteristic, complemented
31C79×#2643C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic, complemented
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579146C2211yescharacteristic, complemented
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579140C2211yescharacteristic, complemented
39C2×#14579139C2211yescharacteristic, complemented
40C2×#14579136C2211yescharacteristic, complemented
41C2×#14579136C2211yescharacteristic, complemented
42C2×#14579136C2211yescharacteristic, complemented
43C2×#14579135C2211yescharacteristic
44C2×#14579134C2211yescharacteristic, complemented
45C2×#14579134C2211yescharacteristic, complemented
46C2×#14579133C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579131C2211yescharacteristic
51C2×#14579131C2211yescharacteristic, complemented
52C2×#14579131C2211yescharacteristic, complemented
53C2×#14579129C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
55C22×(C2×D79)⋊C4C2211yescharacteristic
56C22×(C2×D79)⋊C4C2211yescharacteristic
57C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
58C2×C22⋊C4×D79C2211yescharacteristic
59C79⋊#401C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098503C2211yescharacteristic, complemented
62#19098503C2211yescharacteristic, complemented
63#19098501C2211yescharacteristic, complemented
64#19098498C2211yescharacteristic, complemented
65#19098492C2211yescharacteristic, complemented
66#19098492C2211yescharacteristic, complemented
67#19098492C2211yescharacteristic, complemented
68#19098491C2211yescharacteristic, complemented
69#19098490C2211yescharacteristic, complemented
70#19098490C2211yescharacteristic, complemented
71#19098489C2211yescharacteristic, complemented
72#19098487C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098485C2211yescharacteristic, complemented
75#19098481C2211yescharacteristic, complemented
76#19098481C2211yescharacteristic, complemented
77#19098481C2211yescharacteristic, complemented
78#19098481C2211yescharacteristic, complemented
79#19098480C2211yescharacteristic
80#19098480C2211yescharacteristic
81#19098480C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic, complemented
83#19098479C2211yescharacteristic, complemented
84#19098478C2211yescharacteristic, complemented
85#19098478C2211yescharacteristic, complemented
86#19098476C2211yescharacteristic, complemented
87#19098476C2211yescharacteristic, complemented
88#19098476C2211yescharacteristic, complemented
89#19098476C2211yescharacteristic, complemented
90#19098473C2211yescharacteristic
91#19098473C2211yescharacteristic
92#19098473C2211yescharacteristic
93#19098473C2211yescharacteristic
94#19098473C2211yescharacteristic, complemented
95#19098473C2211yescharacteristic, complemented
96#19098472C2211yescharacteristic
97#19098472C2211yescharacteristic
98#19098472C2211yescharacteristic, complemented
99#19098464C2211yescharacteristic, complemented
100#19098464C2211yescharacteristic, complemented
101#19098464C2211yescharacteristic, complemented
102#19098463C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098455C2211yescharacteristic, complemented
105#19098455C2211yescharacteristic, complemented
106#19098453C2211yescharacteristic, complemented
107#19098453C2211yescharacteristic, complemented
108#19098453C2211yescharacteristic, complemented
109#19098452C2211yescharacteristic, complemented
110#19098452C2211yescharacteristic, complemented
111#19098452C2211yescharacteristic, complemented
112#19098452C2211yescharacteristic, complemented
113#19098445C2211yescharacteristic, complemented
114#19098444C2211yescharacteristic, complemented
115#19098443C2211yescharacteristic
116#19098442C2211yescharacteristic
117#19098442C2211yescharacteristic
118#19098442C2211yescharacteristic, complemented
119#19098442C2211yescharacteristic, complemented
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic, complemented
127#19098441C2211yescharacteristic, complemented
128#19098441C2211yescharacteristic, complemented
129#19098441C2211yescharacteristic, complemented
130#19098441C2211yescharacteristic, complemented
131#19098441C2211yescharacteristic, complemented
132#19098441C2211yescharacteristic, complemented
133#19098441C2211yescharacteristic, complemented
134#19098441C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic, complemented
136#19098441C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic, complemented
140#19098441C2211yescharacteristic, complemented
141#19098441C2211yescharacteristic, complemented
142#19098440C2211yescharacteristic
143#19098440C2211yescharacteristic
144#19098439C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic, complemented
147#19098439C2211yescharacteristic, complemented
148#19098439C2211yescharacteristic, complemented
149#19098437C2211yescharacteristic, complemented
150#19098437C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098434C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic, complemented
155#19098430C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic, complemented
157#19098425C2211yescharacteristic, complemented
158#19098425C2211yescharacteristic, complemented
159#19098425C2211yescharacteristic, complemented
160#19098425C2211yescharacteristic, complemented
161#19098422C2211yescharacteristic, complemented
162#19098422C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic, complemented
167#19098418C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic, complemented
170C22⋊C4×Dic79C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172#401×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#400×C79C2211yescharacteristic, complemented
175#400×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#397×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186C2×#95×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316—24no—
192C22×D316—42no—
193C22×D316—42no—
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
202C22×D316C2311yescharacteristic
203C22×D316C2311yescharacteristic
204C22×D316C2311yescharacteristic
205C22×D316C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C22×C22⋊D79C2311yescharacteristic
211C22×C22⋊D79C2311yescharacteristic
212C2×D4×D79—24no—
213C2×D4×D79—42no—
214C2×D4×D79—42no—
215C23×Dic79C2311yescharacteristic
216C23×Dic79C2311yescharacteristic
217C22×C4×D79—42no—
218C22×C4×D79—42no—
219C22×C4×D79—42no—
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2311yescharacteristic
227C22×C4×D79C2311yescharacteristic
228#14579147—42no—
229#14579146—42no—
230#14579146—42no—
231#14579140—42no—
232#14579139—42no—
233#14579136—42no—
234#14579136—42no—
235#14579136—42no—
236#14579135—42no—
237#14579134—42no—
238#14579134—42no—
239#14579133—42no—
240#14579131—24no—
241#14579131—42no—
242#14579131—42no—
243#14579131—42no—
244#14579131—42no—
245#14579131—42no—
246#14579129—42no—
247(C22⋊D79)⋊C4—42no—
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×(C2×D79)⋊C4—42no—
264C2×(C2×D79)⋊C4—42no—
265C2×(C2×D79)⋊C4—42no—
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
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
312C22⋊C4×D79—42no—
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C22×D4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375C23×D79—22no—
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—22no—
379C23×D79—22no—
380C23×D79—22no—
381C23×D79—22no—
382C23×D79—22no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79—41no—
387C23×D79—41no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79#4114yes—
396C23×D79C2411yescharacteristic
397C23×D79C2411yescharacteristic
398C23×D79C2411yescharacteristic
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401C23×D79C2411yescharacteristic
402C2×Dic158—41no—
403C2×Dic158—41no—
404C2×Dic158—41no—
405C2×D316—22no—
406C2×D316—22no—
407C2×D316—22no—
408C2×D316—22no—
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—22no—
415C2×D316—22no—
416C2×D316—22no—
417C2×D316—22no—
418C2×D316—22no—
419C2×D316—22no—
420C2×D316—41no—
421C2×D316—41no—
422C2×D316—41no—
423C2×D316—41no—
424C2×D316—41no—
425C2×D316—41no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×D316—41no—
432C2×D316—41no—
433C2×D316—41no—
434C2×D316—41no—
435C2×D316—41no—
436C2×D316—41no—
437C2×D316—41no—
438C2×D316—41no—
439C2×D316—41no—
440C2×D316—41no—
441C2×D316—416no—
442C2×C22⋊D79—22no—
443C2×C22⋊D79—22no—
444C2×C22⋊D79—22no—
445C2×C22⋊D79—22no—
446C2×C22⋊D79—22no—
447C2×C22⋊D79—22no—
448C2×C22⋊D79—22no—
449C2×C22⋊D79—22no—
450C2×C22⋊D79—22no—
451C2×C22⋊D79—22no—
452C2×C22⋊D79—41no—
453C2×C22⋊D79—41no—
454C2×C22⋊D79—41no—
455C2×C22⋊D79—41no—
456C2×C22⋊D79—41no—
457C2×C22⋊D79—41no—
458C2×C22⋊D79—41no—
459C2×C22⋊D79—41no—
460D4×D79—416no—
461C22×Dic79—22no—
462C22×Dic79—22no—
463C22×Dic79—22no—
464C22×Dic79—41no—
465C22×Dic79—41no—
466C22×Dic79—41no—
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2411yescharacteristic
476C22×Dic79C2411yescharacteristic
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—22no—
481C2×C4×D79—22no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—41no—
487C2×C4×D79—41no—
488C2×C4×D79—41no—
489C2×C4×D79—41no—
490C2×C4×D79—41no—
491C2×C4×D79—41no—
492C2×C4×D79—41no—
493C2×C4×D79—41no—
494C2×C4×D79—41no—
495C2×C4×D79—41no—
496C2×C4×D79—41no—
497C2×C4×D79—41no—
498C2×C4×D79—41no—
499C2×C4×D79—41no—
500C2×C4×D79—41no—
501C2×C4×D79—416no—
502C4⋊Dic79—41no—
503C4⋊Dic79—41no—
504Dic79⋊C4—22no—
505Dic79⋊C4—22no—
506Dic79⋊C4—41no—
507Dic79⋊C4—41no—
508Dic79⋊C4—41no—
509Dic79⋊C4—41no—
510Dic79⋊C4—41no—
511Dic79⋊C4—41no—
512C22⋊Dic79—22no—
513C22⋊Dic79—22no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
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—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
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—
560(C2×D79)⋊C4—41no—
561(C2×D79)⋊C4—41no—
562(C2×D79)⋊C4—41no—
563C4×Dic79—41no—
564C4×Dic79—41no—
565C4×Dic79—41no—
566C24×C79C2411yescharacteristic
567C24×C79C2411yescharacteristic
568C2×D4×C79—22no—
569C2×D4×C79—22no—
570C2×D4×C79—22no—
571C22×C4×C79—22no—
572C22×C4×C79—22no—
573C22×C4×C79—22no—
574C22×C4×C79—41no—
575C22×C4×C79—41no—
576C22×C4×C79—41no—
577C22×C4×C79—41no—
578C22×C4×C79—41no—
579C22×C4×C79—41no—
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C4⋊C4×C79—41no—
594C4⋊C4×C79—41no—
595C4⋊C4×C79—41no—
596C4⋊C4×C79—41no—
597C4⋊C4×C79—41no—
598C4⋊C4×C79—41no—
599C22⋊C4×C79—22no—
600C22⋊C4×C79—22no—
601C22⋊C4×C79—22no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C22⋊C4×C79—41no—
606C22⋊C4×C79—41no—
607C22⋊C4×C79—41no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79C2×#4112yes—
620C23×C79H(5,𝔽2)12yes—
621C23×C79H(5,𝔽2)12yes—
622C23×C79C2511yescharacteristic
623C22×D79—28no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—28no—
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—44no—
664C22×D79—44no—
665C22×D79—44no—
666C22×D79—44no—
667C22×D79—44no—
668C22×D79—44no—
669C22×D79—44no—
670C22×D79—44no—
671C22×D79—44no—
672C22×D79—82no—
673C22×D79—82no—
674C22×D79—82no—
675C22×D79—82no—
676C22×D79—82no—
677C22×D79—82no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79—82no—
681C22×D79—82no—
682C22×D79C2×#4112yes—
683C22×D79C2×#4112yes—
684C22×D79H(5,𝔽2)12yes—
685C22×D79H(5,𝔽2)12yes—
686D4×C79—44no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
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—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—44no—
727C2×C4×C79—44no—
728C2×C4×C79—82no—
729C22⋊D79—44no—
730C22⋊D79—44no—
731C22⋊D79—44no—
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—44no—
765C2×Dic79—82no—
766C2×Dic79H(5,𝔽2)12yes—
767D316—44no—
768D316—44no—
769D316—44no—
770D316—44no—
771D316—44no—
772D316—82no—
773D316—82no—
774D316—82no—
775D316—82no—
776D316—82no—
777D316—82no—
778D316—82no—
779C4×D79—44no—
780C4×D79—44no—
781C4×D79—44no—
782C4×D79—44no—
783C4×D79—44no—
784C4×D79—82no—
785C4×D79—82no—
786C4×D79—82no—
787Dic158—82no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—22no—
792C22×C79—22no—
793C22×C79—22no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79#53814yes—
802C22×C79C22×#4111yescharacteristic
803C22×C79C2×H(5,𝔽2)11yescharacteristic
804C22×C79C2×H(5,𝔽2)11yescharacteristic
805C22×C79C2×H(5,𝔽2)11yescharacteristic
806C22×C79C2×H(5,𝔽2)11yescharacteristic
807C22×C79C2×H(5,𝔽2)11yescharacteristic
808C22×C79#58511yescharacteristic
809C2×D79—22no—
810C2×D79—22no—
811C2×D79—22no—
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—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—88no—
853C2×D79—88no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79—41no—
862C4×C79—41no—
863C4×C79—41no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79—41no—
867Dic79—22no—
868Dic79—41no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875Dic79—41no—
876Dic79—41no—
877#36776—791nomaximal, Sylow
878C2×C79—24no—
879C2×C79—81no—
880C2×C79C2×#53811yescharacteristic
881C2×C79#349011yescharacteristic
882C2×C79#350511yescharacteristic
883C2×C79#353211yescharacteristic
884C2×C79#353411yescharacteristic
885C2×C79#353411yescharacteristic
886C2×C79#353711yescharacteristic
887D79—42no—
888D79—42no—
889D79—42no—
890D79—42no—
891D79—81no—
892D79—81no—
893#2849—791no—
894#2847—791no—
895#2778—791no—
896#2778—791no—
897#2760—791no—
898#2750—791no—
899#2749—791no—
900#2749—791no—
901#2743—791no—
902#2703—791no—
903#2697—791no—
904#2696—791no—
905#2688—791no—
906#2688—791no—
907#2684—791no—
908#2678—791no—
909#2676—791no—
910#2668—791no—
911#2643D7911yescharacteristic, complemented
912#2639—791no—
913#2510—791no—
914#2472—791no—
915#2444—791no—
916#2437—791no—
917#2424—791no—
918#2410—791no—
919#2410—791no—
920#2403—791no—
921#2321—791no—
922#2308—791no—
923C2×#386—791no—
924C79#3677611yescharacteristic, complemented, Sylow
925C23×D4—791no—
926C23×D4—791no—
927C24×C4—791no—
928C2×#124—791no—
929C2×#123—791no—
930C2×#123—791no—
931C2×C22⋊Q8—791no—
932C2×C22⋊Q8—791no—
933C2×#121—791no—
934C2×#121—791no—
935C2×#121—791no—
936C2×#121—791no—
937C2×#121—791no—
938C2×#121—791no—
939C2×#121—791no—
940C2×#120—791no—
941C2×#120—791no—
942C2×#120—791no—
943C2×#120—791no—
944C2×#120—791no—
945C2×#120—791no—
946C2×#120—791no—
947C2×C4×D4—791no—
948C22×C22⋊C4—791no—
949C22×C22⋊C4—791no—
950C22×C22⋊C4—791no—
951C22×C22⋊C4—791no—
952#401—791no—
953#401C2×D7911yescharacteristic, complemented
954#400—791no—
955#400—791no—
956#400—791no—
957#400—791no—
958#400C2×D7911yescharacteristic, complemented
959#400C2×D7911yescharacteristic, complemented
960#400C2×D7911yescharacteristic, complemented
961#399—791no—
962#397—791no—
963#397—791no—
964#397—791no—
965#397—791no—
966#397—791no—
967#397—791no—
968#397—791no—
969#397C2×D7911yescharacteristic, complemented
970#397C2×D7911yescharacteristic, complemented
971#397C2×D7911yescharacteristic, complemented
972#396—791no—
973#396—791no—
974#396—791no—
975#396C2×D7911yescharacteristic, complemented
976#394—791no—
977#394—791no—
978#394—791no—
979#394—791no—
980#394—791no—
981#394—791no—
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#393—791no—
988#393—791no—
989#393—791no—
990#393—791no—
991#392—791no—
992#392—791no—
993#392—791no—
994#392—791no—
995#392—791no—
996#392—791no—
997#392—791no—
998#392—791no—
999#392—791no—
1000#390—791no—
1001#390—791no—
1002#390—791no—
1003#390—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388—791no—
1012#388—791no—
1013#388—791no—
1014#387—791no—
1015#387—791no—
1016#386—791no—
1017#386—791no—
1018#386—791no—
1019#386—791no—
1020#386—791no—
1021#386—791no—
1022#386—791no—
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#386—791no—
1032#386—791no—
1033#386—791no—
1034#386—791no—
1035#386—791no—
1036#386—791no—
1037#386—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386—791no—
1046#386—791no—
1047#386—791no—
1048#386—791no—
1049#386—791no—
1050#386C2×D7911yescharacteristic
1051#386C2×D7911yescharacteristic
1052#386C2×D7911yescharacteristic
1053#385—791no—
1054#385—791no—
1055#385—791no—
1056#385—791no—
1057#385—791no—
1058#385—791no—
1059#385C2×D7911yescharacteristic, complemented
1060#385C2×D7911yescharacteristic, complemented
1061#385C2×D7911yescharacteristic, complemented
1062#383—791no—
1063#381—791no—
1064#381—791no—
1065#381—791no—
1066#381—791no—
1067#381—791no—
1068#380—791no—
1069#380—791no—
1070#380—791no—
1071#380—791no—
1072#379—791no—
1073#379—791no—
1074#379—791no—
1075#379—791no—
1076#379—791no—
1077C4×C22⋊C4—791no—
1078C2×#95—791no—
1079C2×#95C2×D7911yescharacteristic, complemented
1080C25—791no—
1081C25—791no—
1082C25—791no—
1083C22×Q8—791no—
1084C22×D4—3162no—
1085C22×D4—3162no—
1086C22×D4—3162no—
1087C22×D4—3162no—
1088C22×D4—791no—
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—791no—
1100C22×D4—791no—
1101C22×D4—791no—
1102C22×D4—791no—
1103C22×D4—791no—
1104C22×D4—791no—
1105C22×D4—791no—
1106C22×D4—1584no—
1107C22×D4—1584no—
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—3162no—
1110C23×C4—3162no—
1111C23×C4—3162no—
1112C23×C4—791no—
1113C23×C4—791no—
1114C23×C4—791no—
1115C23×C4—791no—
1116C23×C4—791no—
1117C23×C4—791no—
1118C23×C4—791no—
1119C23×C4—791no—
1120C23×C4—791no—
1121C23×C4—791no—
1122C23×C4C22×D7911yescharacteristic
1123C23×C4C22×D7911yescharacteristic
1124C23×C4C22×D7911yescharacteristic
1125#124—3162no—
1126#123—3162no—
1127#123—3162no—
1128C22⋊Q8—3162no—
1129C22⋊Q8—3162no—
1130#121—3162no—
1131#121—3162no—
1132#121—3162no—
1133#121—3162no—
1134#121—3162no—
1135#121—3162no—
1136#121—3162no—
1137#120—3162no—
1138#120—3162no—
1139#120—3162no—
1140#120—3162no—
1141#120—3162no—
1142#120—3162no—
1143#120—1584no—
1144C4×D4—3162no—
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⋊C4C22×D7911yescharacteristic
1156C2×C4⋊C4C22×D7911yescharacteristic
1157C2×C4⋊C4C22×D7911yescharacteristic
1158C2×C4⋊C4C22×D7911yescharacteristic
1159C2×C4⋊C4C22×D7911yescharacteristic
1160C2×C4⋊C4C22×D7911yescharacteristic
1161C2×C22⋊C4—3162no—
1162C2×C22⋊C4—3162no—
1163C2×C22⋊C4—3162no—
1164C2×C22⋊C4—3162no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C22⋊C4C22×D7911yescharacteristic
1220C2×C22⋊C4C22×D7911yescharacteristic
1221C2×C22⋊C4C22×D7911yescharacteristic
1222C2×C22⋊C4C22×D7911yescharacteristic
1223C2×C22⋊C4C22×D7911yescharacteristic
1224C2×C22⋊C4C22×D7911yescharacteristic
1225C2×C42—791no—
1226C2×C42—791no—
1227C2×C42—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95C22×D7911yescharacteristic
1253#95C22×D7911yescharacteristic
1254#95C22×D7911yescharacteristic
1255#95C22×D7911yescharacteristic
1256#95C22×D7911yescharacteristic
1257#95C22×D7911yescharacteristic
1258#95C22×D7911yescharacteristic
1259#95C22×D7911yescharacteristic
1260#95C22×D7911yescharacteristic
1261#95C22×D7911yescharacteristic
1262#95C22×D7911yescharacteristic
1263#95C22×D7911yescharacteristic
1264#95C22×D7911yescharacteristic
1265#95C22×D7911yescharacteristic
1266#95C22×D7911yescharacteristic
1267#95C22×D7911yescharacteristic
1268C24—3161no—
1269C24—3161no—
1270C24—3161no—
1271C24—3161no—
1272C24—3161no—
1273C24—3161no—
1274C24—3161no—
1275C24—3161no—
1276C24—3161no—
1277C24—3161no—
1278C24—3161no—
1279C24—3161no—
1280C24—794no—
1281C24—791no—
1282C24—791no—
1283C24—791no—
1284C24—791no—
1285C24—791no—
1286C24—791no—
1287C24—1582no—
1288C24—1582no—
1289C24—1582no—
1290C24—1582no—
1291C24—1582no—
1292C24—1582no—
1293C24—1582no—
1294C24—1582no—
1295C24C23×D7911yescharacteristic
1296C24C23×D7911yescharacteristic
1297C2×Q8—3161no—
1298C2×Q8—3161no—
1299C2×Q8—3161no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—3161no—
1304C2×D4—3161no—
1305C2×D4—3161no—
1306C2×D4—3161no—
1307C2×D4—3161no—
1308C2×D4—3161no—
1309C2×D4—3161no—
1310C2×D4—3161no—
1311C2×D4—3161no—
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—31616no—
1325C2×D4—31616no—
1326C2×D4—3161no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—3161no—
1332C2×D4—3161no—
1333C2×D4—3161no—
1334C2×D4—1582no—
1335C2×D4—1582no—
1336C2×D4—1582no—
1337C2×D4—1582no—
1338C2×D4—1582no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1582no—
1342C2×D4—1582no—
1343C2×D4—1582no—
1344C2×D4—1582no—
1345C2×D4—1582no—
1346C2×D4—1582no—
1347C2×D4—1582no—
1348C2×D4—1582no—
1349C2×D4—1582no—
1350C2×D4—1582no—
1351C2×D4—1582no—
1352C2×D4—1582no—
1353C2×D4—1582no—
1354C2×D4—1582no—
1355C2×D4—1582no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—3161no—
1369C22×C4—3161no—
1370C22×C4—3161no—
1371C22×C4—3161no—
1372C22×C4—3161no—
1373C22×C4—3161no—
1374C22×C4—3161no—
1375C22×C4—3161no—
1376C22×C4—3161no—
1377C22×C4—3161no—
1378C22×C4—3161no—
1379C22×C4—3161no—
1380C22×C4—3161no—
1381C22×C4—3161no—
1382C22×C4—3161no—
1383C22×C4—3161no—
1384C22×C4—3161no—
1385C22×C4—3161no—
1386C22×C4—3161no—
1387C22×C4—31616no—
1388C22×C4—3161no—
1389C22×C4—3161no—
1390C22×C4—3161no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—791no—
1398C22×C4—791no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—1582no—
1402C22×C4—1582no—
1403C22×C4—1582no—
1404C22×C4—1582no—
1405C22×C4—1582no—
1406C22×C4—1582no—
1407C22×C4—1582no—
1408C22×C4—1582no—
1409C22×C4C23×D7911yescharacteristic
1410C22×C4C23×D7911yescharacteristic
1411C22×C4C23×D7911yescharacteristic
1412C22×C4C23×D7911yescharacteristic
1413C22×C4C23×D7911yescharacteristic
1414C22×C4C23×D7911yescharacteristic
1415C22×C4C23×D7911yescharacteristic
1416C22×C4C23×D7911yescharacteristic
1417C22×C4C23×D7911yescharacteristic
1418C22×C4C23×D7911yescharacteristic
1419C22×C4C23×D7911yescharacteristic
1420C22×C4C23×D7911yescharacteristic
1421C22×C4C23×D7911yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—3161no—
1429C4⋊C4—3161no—
1430C4⋊C4—3161no—
1431C4⋊C4—3161no—
1432C4⋊C4—3161no—
1433C4⋊C4—3161no—
1434C4⋊C4—3161no—
1435C4⋊C4—3161no—
1436C4⋊C4—1582no—
1437C4⋊C4—1582no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—3161no—
1448C22⋊C4—3161no—
1449C22⋊C4—3161no—
1450C22⋊C4—3161no—
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—3161no—
1474C22⋊C4—3161no—
1475C22⋊C4—3161no—
1476C22⋊C4—3161no—
1477C22⋊C4—3161no—
1478C22⋊C4—3161no—
1479C22⋊C4—3161no—
1480C22⋊C4—3161no—
1481C22⋊C4—3161no—
1482C22⋊C4—3161no—
1483C22⋊C4—3161no—
1484C22⋊C4—3161no—
1485C22⋊C4—3161no—
1486C22⋊C4—3161no—
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—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C42—3161no—
1499C42—3161no—
1500C42—3161no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—3164no—
1513C23—3164no—
1514C23—3164no—
1515C23—3164no—
1516C23—3164no—
1517C23—3164no—
1518C23—3164no—
1519C23—3164no—
1520C23—3164no—
1521C23—792no—
1522C23—792no—
1523C23—792no—
1524C23—792no—
1525C23—6322no—
1526C23—6322no—
1527C23—6322no—
1528C23—6322no—
1529C23—6322no—
1530C23—6322no—
1531C23—6322no—
1532C23—6322no—
1533C23—6322no—
1534C23—6322no—
1535C23—1588no—
1536C23—1581no—
1537C23—1581no—
1538C23—1581no—
1539C23—1581no—
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—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23—1581no—
1568C23—1581no—
1569C23—1581no—
1570C23—1581no—
1571C23—1581no—
1572C23—1581no—
1573C23—1581no—
1574C23—1588no—
1575C23#41×D7912yes—
1576C23#1457920712yes—
1577C23#1457920712yes—
1578C23C24×D7911yescharacteristic
1579Q8—6322no—
1580D4—44no—
1581D4—3164no—
1582D4—3164no—
1583D4—3164no—
1584D4—3164no—
1585D4—3164no—
1586D4—3164no—
1587D4—3164no—
1588D4—3164no—
1589D4—6322no—
1590D4—6322no—
1591D4—6322no—
1592D4—6322no—
1593D4—6322no—
1594D4—6322no—
1595D4—6322no—
1596D4—6322no—
1597D4—6322no—
1598D4—6322no—
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—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—82no—
1641C2×C4—3164no—
1642C2×C4—3164no—
1643C2×C4—3164no—
1644C2×C4—3164no—
1645C2×C4—3164no—
1646C2×C4—3164no—
1647C2×C4—792no—
1648C2×C4—6322no—
1649C2×C4—6322no—
1650C2×C4—6322no—
1651C2×C4—6322no—
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×C4—1581no—
1663C2×C4—1581no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4—1581no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4—1581no—
1671C2×C4—1581no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—31616no—
1695C22—3161no—
1696C22—3161no—
1697C22—3161no—
1698C22—3161no—
1699C22—3161no—
1700C22—3161no—
1701C22—3161no—
1702C22—3161no—
1703C22—3161no—
1704C22—3161no—
1705C22—3161no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—3161no—
1717C22—3161no—
1718C22—3161no—
1719C22—3161no—
1720C22—3161no—
1721C22—3161no—
1722C22—3161no—
1723C22—3161no—
1724C22—3161no—
1725C22—6328no—
1726C22—6328no—
1727C22—1582no—
1728C22—1582no—
1729C22—1582no—
1730C22—1582no—
1731C22—1582no—
1732C22—1582no—
1733C22—1582no—
1734C22—1582no—
1735C22—1582no—
1736C22—1582no—
1737C22—1582no—
1738C22—1582no—
1739C22#1909915214yes—
1740C22C2×#41×D7911yescharacteristic
1741C22H(5,𝔽2)×D7911yescharacteristic
1742C22H(5,𝔽2)×D7911yescharacteristic
1743C22H(5,𝔽2)×D7911yescharacteristic
1744C22C2×#1457920711yescharacteristic
1745C22C2×#1457920711yescharacteristic
1746C22#1909940011yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—3161no—
1761C4—3161no—
1762C4—3161no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—3161no—
1769C4—1582no—
1770C2—24no—
1771C2—81no—
1772C2—3162no—
1773C2—3162no—
1774C2—3162no—
1775C2—3162no—
1776C2—6321no—
1777C2—6321no—
1778C2C2×#1909915211yescharacteristic
1779C2#2377708611yescharacteristic
1780C2#2377723211yescharacteristic
1781C2#2377755111yescharacteristic
1782C2#2377758811yescharacteristic
1783C2#2377759511yescharacteristic
1784C2#2377763211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2643C2
hypercenter#2643D79
hypocenterC79#36776
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2643

Complements

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

NH ≅ G/Ntype
1. #23771695C2semidirect
2. #23771681C2semidirect
3. #23771025C2semidirect
4. #23771017C2semidirect
5. #23770778C2semidirect
6. #23770643C2semidirect
7. #23770630C2semidirect
8. #23770622C2semidirect
9. #23770532C2semidirect
10. #23770042C2semidirect
11. #23769958C2semidirect
12. #23769943C2semidirect
13. #23769843C2semidirect
14. #23769841C2semidirect
15. #23769782C2semidirect
16. #23769724C2semidirect
17. #23769707C2semidirect
18. #23769610C2semidirect
19. #23769328C2semidirect
20. #23767966C2semidirect
21. #23767531C2semidirect
22. #23767156C2semidirect
23. #23767065C2semidirect
24. #23766934C2semidirect
25. #23766773C2semidirect
26. #23766772C2semidirect
27. #23766712C2semidirect
28. #23766057C2semidirect
29. #23765974C2semidirect
30. C2×#19098441C2semidirect
31. C79×#2643C2semidirect
34. C23×C4×D79C22semidirect
35. C2×#14579147C22semidirect
36. C2×#14579146C22semidirect
37. C2×#14579146C22semidirect
38. C2×#14579140C22semidirect
39. C2×#14579139C22semidirect
40. C2×#14579136C22semidirect
41. C2×#14579136C22semidirect
42. C2×#14579136C22semidirect
44. C2×#14579134C22semidirect
45. C2×#14579134C22semidirect
51. C2×#14579131C22semidirect
52. C2×#14579131C22semidirect
54. C2×(C22⋊D79)⋊C4C22semidirect
57. C22×(C2×D79)⋊C4C22semidirect
59. C79⋊#401C22semidirect
60. #19098504C22semidirect
61. #19098503C22semidirect
62. #19098503C22semidirect
63. #19098501C22semidirect
64. #19098498C22semidirect
65. #19098492C22semidirect
66. #19098492C22semidirect
67. #19098492C22semidirect
68. #19098491C22semidirect
69. #19098490C22semidirect
70. #19098490C22semidirect
71. #19098489C22semidirect
72. #19098487C22semidirect
73. #19098485C22semidirect
74. #19098485C22semidirect
75. #19098481C22semidirect
76. #19098481C22semidirect
77. #19098481C22semidirect
78. #19098481C22semidirect
81. #19098480C22semidirect
82. #19098479C22semidirect
83. #19098479C22semidirect
84. #19098478C22semidirect
85. #19098478C22semidirect
86. #19098476C22semidirect
87. #19098476C22semidirect
88. #19098476C22semidirect
89. #19098476C22semidirect
94. #19098473C22semidirect
95. #19098473C22semidirect
98. #19098472C22semidirect
99. #19098464C22semidirect
100. #19098464C22semidirect
101. #19098464C22semidirect
102. #19098463C22semidirect
103. #19098457C22semidirect
104. #19098455C22semidirect
105. #19098455C22semidirect
106. #19098453C22semidirect
107. #19098453C22semidirect
108. #19098453C22semidirect
109. #19098452C22semidirect
110. #19098452C22semidirect
111. #19098452C22semidirect
112. #19098452C22semidirect
113. #19098445C22semidirect
114. #19098444C22semidirect
118. #19098442C22semidirect
119. #19098442C22semidirect
126. #19098441C22semidirect
127. #19098441C22semidirect
128. #19098441C22semidirect
129. #19098441C22semidirect
130. #19098441C22semidirect
131. #19098441C22semidirect
132. #19098441C22semidirect
133. #19098441C22semidirect
134. #19098441C22semidirect
135. #19098441C22semidirect
136. #19098441C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
139. #19098441C22semidirect
140. #19098441C22semidirect
141. #19098441C22semidirect
144. #19098439C22semidirect
145. #19098439C22semidirect
146. #19098439C22semidirect
147. #19098439C22semidirect
148. #19098439C22semidirect
149. #19098437C22semidirect
150. #19098437C22semidirect
151. #19098435C22semidirect
152. #19098434C22semidirect
153. #19098434C22semidirect
154. #19098434C22semidirect
155. #19098430C22semidirect
156. #19098425C22semidirect
157. #19098425C22semidirect
158. #19098425C22semidirect
159. #19098425C22semidirect
160. #19098425C22semidirect
161. #19098422C22semidirect
162. #19098422C22semidirect
163. #19098422C22semidirect
164. #19098421C22semidirect
166. #19098418C22semidirect
167. #19098418C22semidirect
168. #19098418C22semidirect
169. #19098418C22semidirect
170. C22⋊C4×Dic79C22semidirect
171. C2×C79⋊#95C22semidirect
172. #401×C79C22semidirect
173. #400×C79C22semidirect
174. #400×C79C22semidirect
175. #400×C79C22semidirect
176. #397×C79C22semidirect
177. #397×C79C22semidirect
178. #397×C79C22semidirect
179. #396×C79C22semidirect
183. #385×C79C22semidirect
184. #385×C79C22semidirect
185. #385×C79C22semidirect
186. C2×#95×C79C22semidirect
911. #2643D79semidirect
924. C79#36776semidirect
953. #401C2×D79semidirect
958. #400C2×D79semidirect
959. #400C2×D79semidirect
960. #400C2×D79semidirect
969. #397C2×D79semidirect
970. #397C2×D79semidirect
971. #397C2×D79semidirect
975. #396C2×D79semidirect
1059. #385C2×D79semidirect
1060. #385C2×D79semidirect
1061. #385C2×D79semidirect
1079. C2×#95C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716952
#237716812
#237710252
#237710172
#237707782
#237706432
#237706302
#237706222
#237705322
#237700422
#237699582
#237699432
#237698432
#237698412
#237697822
#237697242
#237697072
#237696102
#237693282
#237679662
#237675312
#237671562
#237670652
#237669342
#237667732
#237667722
#237667122
#237660572
#237659742
C2×#190984412
C79×#26432
#3677679