Finite Group Databasebeta

← #34496573

Subgroups — #34496573

Order 20224.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771692C211yesmaximal, characteristic, complemented
2#23771687C211yesmaximal, characteristic, complemented
3#23771073C211yesmaximal, characteristic, complemented
4#23770638C211yesmaximal, characteristic, complemented
5#23770588C211yesmaximal, characteristic, complemented
6#23770582C211yesmaximal, characteristic, complemented
7#23770537C211yesmaximal, characteristic, complemented
8#23770371C211yesmaximal, characteristic, complemented
9#23770118C211yesmaximal, characteristic, complemented
10#23770113C211yesmaximal, characteristic, complemented
11#23770091C211yesmaximal, characteristic, complemented
12#23769953C211yesmaximal, characteristic, complemented
13#23769930C211yesmaximal, characteristic, complemented
14#23769911C211yesmaximal, characteristic, complemented
15#23769906C211yesmaximal, characteristic, complemented
16#23769878C211yesmaximal, characteristic, complemented
17#23769825C211yesmaximal, characteristic, complemented
18#23769756C211yesmaximal, characteristic, complemented
19#23769370C211yesmaximal, characteristic, complemented
20#23769353C211yesmaximal, characteristic, complemented
21#23767901C211yesmaximal, characteristic, complemented
22#23767640C211yesmaximal, characteristic, complemented
23#23767224C211yesmaximal, characteristic, complemented
24#23767061C211yesmaximal, characteristic, complemented
25#23766862C211yesmaximal, characteristic, complemented
26#23766790C211yesmaximal, characteristic, complemented
27#23766774C211yesmaximal, characteristic
28#23766723C211yesmaximal, characteristic, complemented
29#23766058C211yesmaximal, characteristic, complemented
30#23766012C211yesmaximal, characteristic, complemented
31C2×#386×C79C211yesmaximal, characteristic, complemented
32C2×#14579154C2211yescharacteristic, complemented
33C2×#14579145C2211yescharacteristic, complemented
34C2×#14579144C2211yescharacteristic, complemented
35C2×#14579144C2211yescharacteristic, complemented
36C2×#14579143C2211yescharacteristic, complemented
37C2×#14579142C2211yescharacteristic
38C2×#14579142C2211yescharacteristic
39C2×#14579140C2211yescharacteristic
40C2×#14579140C2211yescharacteristic, complemented
41C2×#14579140C2211yescharacteristic, complemented
42C2×#14579138C2211yescharacteristic, complemented
43C2×#14579133C2211yescharacteristic
44C2×#14579133C2211yescharacteristic
45C2×#14579130C2211yescharacteristic
46C2×#14579130C2211yescharacteristic
47C2×C4×C22⋊D79C2211yescharacteristic
48C22×C22⋊Dic79C2211yescharacteristic
49C22×C22⋊Dic79C2211yescharacteristic
50C79⋊#401C2211yescharacteristic, complemented
51#19098505C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098504C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098504C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098503C2211yescharacteristic, complemented
62#19098499C2211yescharacteristic, complemented
63#19098499C2211yescharacteristic, complemented
64#19098497C2211yescharacteristic, complemented
65#19098497C2211yescharacteristic, complemented
66#19098497C2211yescharacteristic, complemented
67#19098497C2211yescharacteristic, complemented
68#19098497C2211yescharacteristic, complemented
69#19098497C2211yescharacteristic, complemented
70#19098492C2211yescharacteristic, complemented
71#19098492C2211yescharacteristic, complemented
72#19098492C2211yescharacteristic, complemented
73#19098491C2211yescharacteristic, complemented
74#19098491C2211yescharacteristic, complemented
75#19098491C2211yescharacteristic, complemented
76#19098488C2211yescharacteristic, complemented
77#19098488C2211yescharacteristic, complemented
78#19098488C2211yescharacteristic, complemented
79#19098487C2211yescharacteristic, complemented
80#19098487C2211yescharacteristic, complemented
81#19098486C2211yescharacteristic, complemented
82#19098486C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098479C2211yescharacteristic, complemented
85#19098479C2211yescharacteristic, complemented
86#19098479C2211yescharacteristic, complemented
87#19098478C2211yescharacteristic, complemented
88#19098477C2211yescharacteristic
89#19098477C2211yescharacteristic
90#19098477C2211yescharacteristic
91#19098477C2211yescharacteristic
92#19098477C2211yescharacteristic
93#19098477C2211yescharacteristic
94#19098476C2211yescharacteristic, complemented
95#19098475C2211yescharacteristic, complemented
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic
98#19098467C2211yescharacteristic, complemented
99#19098463C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic, complemented
101#19098460C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic, complemented
106#19098456C2211yescharacteristic, complemented
107#19098456C2211yescharacteristic, complemented
108#19098451C2211yescharacteristic, complemented
109#19098451C2211yescharacteristic, complemented
110#19098451C2211yescharacteristic, complemented
111#19098448C2211yescharacteristic, complemented
112#19098445C2211yescharacteristic, complemented
113#19098445C2211yescharacteristic, complemented
114#19098443C2211yescharacteristic
115#19098443C2211yescharacteristic
116#19098443C2211yescharacteristic
117#19098443C2211yescharacteristic
118#19098442C2211yescharacteristic
119#19098442C2211yescharacteristic
120#19098442C2211yescharacteristic
121#19098442C2211yescharacteristic
122#19098442C2211yescharacteristic, complemented
123#19098442C2211yescharacteristic, complemented
124#19098440C2211yescharacteristic, complemented
125#19098439C2211yescharacteristic, complemented
126#19098439C2211yescharacteristic, complemented
127#19098439C2211yescharacteristic, complemented
128#19098438C2211yescharacteristic, complemented
129#19098438C2211yescharacteristic, complemented
130#19098437C2211yescharacteristic, complemented
131#19098436C2211yescharacteristic
132#19098436C2211yescharacteristic
133#19098436C2211yescharacteristic
134#19098436C2211yescharacteristic
135#19098436C2211yescharacteristic
136#19098436C2211yescharacteristic
137#19098436C2211yescharacteristic
138#19098436C2211yescharacteristic
139#19098436C2211yescharacteristic
140#19098436C2211yescharacteristic
141#19098436C2211yescharacteristic, complemented
142#19098436C2211yescharacteristic, complemented
143#19098436C2211yescharacteristic, complemented
144#19098436C2211yescharacteristic, complemented
145#19098436C2211yescharacteristic, complemented
146#19098436C2211yescharacteristic, complemented
147#19098435C2211yescharacteristic, complemented
148#19098435C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic, complemented
150#19098435C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic, complemented
152#19098427C2211yescharacteristic, complemented
153#19098426C2211yescharacteristic, complemented
154#19098426C2211yescharacteristic, complemented
155#19098424C2211yescharacteristic, complemented
156#19098423C2211yescharacteristic
157#19098423C2211yescharacteristic
158#19098423C2211yescharacteristic
159#19098423C2211yescharacteristic, complemented
160#19098423C2211yescharacteristic, complemented
161#19098422C2211yescharacteristic, complemented
162#19098421C2211yescharacteristic, complemented
163#19098421C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098419C2211yescharacteristic
168#19098419C2211yescharacteristic
169#19098419C2211yescharacteristic
170#19098419C2211yescharacteristic
171C4×C22⋊Dic79C2211yescharacteristic
172C23×D4×C79C2211yescharacteristic
173C24×C4×C79C2211yescharacteristic
174C22×C22⋊C4×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176C22×C22⋊C4×C79C2211yescharacteristic
177#386×C79C2211yescharacteristic
178#386×C79C2211yescharacteristic
179#386×C79C2211yescharacteristic
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185C2×#95×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×C22⋊D79C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C23×Dic79C2311yescharacteristic
194C23×Dic79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C22×C4×D79C2311yescharacteristic
198#14579154—42no—
199#14579145—42no—
200#14579144—42no—
201#14579144—42no—
202#14579143—42no—
203#14579142—42no—
204#14579142—42no—
205#14579140—42no—
206#14579140—42no—
207#14579140—42no—
208#14579138—42no—
209#14579133—42no—
210#14579133—42no—
211#14579130—24no—
212#14579130—42no—
213C4×C22⋊D79—42no—
214C2×C4⋊Dic79C2311yescharacteristic
215C2×C4⋊Dic79C2311yescharacteristic
216C2×C4⋊Dic79C2311yescharacteristic
217C2×C4⋊Dic79C2311yescharacteristic
218C2×C4⋊Dic79C2311yescharacteristic
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×Dic79⋊C4C2311yescharacteristic
222C2×Dic79⋊C4C2311yescharacteristic
223C2×Dic79⋊C4C2311yescharacteristic
224C2×Dic79⋊C4C2311yescharacteristic
225C2×Dic79⋊C4C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×C22⋊Dic79—24no—
245C2×C22⋊Dic79—42no—
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C79⋊#95C2311yescharacteristic
290C79⋊#95C2311yescharacteristic
291C79⋊#95C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C25×C79C2311yescharacteristic
326C25×C79C2311yescharacteristic
327C22×D4×C79—24no—
328C22×D4×C79—42no—
329C22×D4×C79—42no—
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C23×C4×C79—42no—
335C23×C4×C79—42no—
336C23×C4×C79—42no—
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345C23×C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79—42no—
347C2×C22⋊C4×C79—42no—
348C2×C22⋊C4×C79—42no—
349C2×C22⋊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
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×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
369C23×D79C2411yescharacteristic
370C2×Dic158—22no—
371C2×Dic158—41no—
372C2×Dic158—41no—
373C2×C22⋊D79—22no—
374C2×C22⋊D79—22no—
375C2×C22⋊D79—22no—
376C2×C22⋊D79—22no—
377C2×C22⋊D79—22no—
378C2×C22⋊D79—22no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—41no—
381C2×C22⋊D79—41no—
382C2×C22⋊D79—41no—
383C2×C22⋊D79—41no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C22×Dic79—22no—
389C22×Dic79—22no—
390C22×Dic79—41no—
391C22×Dic79—41no—
392C22×Dic79—41no—
393C22×Dic79—41no—
394C22×Dic79—41no—
395C22×Dic79—41no—
396C22×Dic79—41no—
397C22×Dic79—41no—
398C22×Dic79—41no—
399C22×Dic79—41no—
400C22×Dic79C2411yescharacteristic
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2411yescharacteristic
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C2×C4×D79—41no—
416C2×C4×D79—41no—
417C2×C4×D79—41no—
418C4⋊Dic79—22no—
419C4⋊Dic79—41no—
420C4⋊Dic79—41no—
421C4⋊Dic79—41no—
422C4⋊Dic79—41no—
423C4⋊Dic79—41no—
424C4⋊Dic79—41no—
425Dic79⋊C4—22no—
426Dic79⋊C4—41no—
427Dic79⋊C4—41no—
428Dic79⋊C4—41no—
429Dic79⋊C4—41no—
430Dic79⋊C4—41no—
431Dic79⋊C4—41no—
432Dic79⋊C4—41no—
433Dic79⋊C4—41no—
434Dic79⋊C4—41no—
435Dic79⋊C4—41no—
436Dic79⋊C4—41no—
437Dic79⋊C4—41no—
438Dic79⋊C4—41no—
439Dic79⋊C4—41no—
440Dic79⋊C4—41no—
441Dic79⋊C4—41no—
442Dic79⋊C4—41no—
443Dic79⋊C4—41no—
444Dic79⋊C4—41no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448C22⋊Dic79—22no—
449C22⋊Dic79—22no—
450C22⋊Dic79—22no—
451C22⋊Dic79—22no—
452C22⋊Dic79—22no—
453C22⋊Dic79—22no—
454C22⋊Dic79—22no—
455C22⋊Dic79—22no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—22no—
464C22⋊Dic79—22no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479(C2×D79)⋊C4—22no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488C4×Dic79—41no—
489C4×Dic79—41no—
490C4×Dic79—41no—
491C24×C79—22no—
492C24×C79—22no—
493C24×C79—22no—
494C24×C79—22no—
495C24×C79—22no—
496C24×C79—22no—
497C24×C79—22no—
498C24×C79—41no—
499C24×C79—41no—
500C24×C79—41no—
501C24×C79—41no—
502C24×C79—41no—
503C24×C79—41no—
504C24×C79#4114yes—
505C24×C79C2411yescharacteristic
506C24×C79C2411yescharacteristic
507C24×C79C2411yescharacteristic
508C24×C79C2411yescharacteristic
509C24×C79C2411yescharacteristic
510C2×D4×C79—22no—
511C2×D4×C79—22no—
512C2×D4×C79—22no—
513C2×D4×C79—22no—
514C2×D4×C79—22no—
515C2×D4×C79—22no—
516C2×D4×C79—22no—
517C2×D4×C79—22no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C2×D4×C79—41no—
522C2×D4×C79—416no—
523C22×C4×C79—22no—
524C22×C4×C79—22no—
525C22×C4×C79—22no—
526C22×C4×C79—22no—
527C22×C4×C79—22no—
528C22×C4×C79—22no—
529C22×C4×C79—22no—
530C22×C4×C79—22no—
531C22×C4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—41no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—416no—
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—28no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—28no—
603C23×C79—44no—
604C23×C79—44no—
605C23×C79—44no—
606C23×C79—44no—
607C23×C79—44no—
608C23×C79—44no—
609C23×C79—44no—
610C23×C79—44no—
611C23×C79—82no—
612C23×C79—82no—
613C23×C79—82no—
614C23×C79—82no—
615C23×C79C2×#4112yes—
616C23×C79C2×#4112yes—
617C23×C79C2×#4112yes—
618C23×C79H(5,𝔽2)12yes—
619C23×C79H(5,𝔽2)12yes—
620C23×C79H(5,𝔽2)12yes—
621C23×C792−1+412yes—
622C23×C79C2511yescharacteristic
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630D4×C79—44no—
631D4×C79—44no—
632D4×C79—44no—
633D4×C79—44no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—44no—
664C2×C4×C79—44no—
665C2×C4×C79—44no—
666C2×C4×C79—44no—
667C2×C4×C79—44no—
668C2×C4×C79—44no—
669C2×C4×C79—44no—
670C2×C4×C79—82no—
671C2×C4×C79—82no—
672C2×C4×C79H(5,𝔽2)12yes—
673C22⋊D79—44no—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—82no—
724C2×Dic79—82no—
725C2×Dic79—82no—
726C2×Dic79—82no—
727C4×D79—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—22no—
741C22×C79—22no—
742C22×C79—22no—
743C22×C79—22no—
744C22×C79—22no—
745C22×C79—22no—
746C22×C79—22no—
747C22×C79—416no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—88no—
765C22×C79#53914yes—
766C22×C79C22×#4111yescharacteristic
767C22×C79C2×H(5,𝔽2)11yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79C2×2−1+411yescharacteristic
772C22×C79#58511yescharacteristic
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C4×C79—22no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805#36775—791nomaximal, Sylow
806C2×C79—24no—
807C2×C79—42no—
808C2×C79—42no—
809C2×C79—42no—
810C2×C79—42no—
811C2×C79C2×#53911yescharacteristic
812C2×C79#349011yescharacteristic
813C2×C79#350511yescharacteristic
814C2×C79#353211yescharacteristic
815C2×C79#353411yescharacteristic
816C2×C79#353511yescharacteristic
817C2×C79#353611yescharacteristic
818D79—81no—
819#2849—791no—
820#2848—791no—
821#2782—791no—
822#2750—791no—
823#2746—791no—
824#2746—791no—
825#2743—791no—
826#2728—791no—
827#2708—791no—
828#2708—791no—
829#2706—791no—
830#2696—791no—
831#2695—791no—
832#2693—791no—
833#2693—791no—
834#2691—791no—
835#2687—791no—
836#2681—791no—
837#2646—791no—
838#2643—791no—
839#2505—791no—
840#2480—791no—
841#2450—791no—
842#2437—791no—
843#2418—791no—
844#2412—791no—
845#2410—791no—
846#2405—791no—
847#2321—791no—
848#2315—791no—
849C2×#386D7911yescharacteristic, complemented
850C79#3677511yescharacteristic, complemented, Sylow
851C23×D4C2×D7911yescharacteristic
852C24×C4C2×D7911yescharacteristic
853C2×#126—791no—
854C2×#123—791no—
855C2×#123—791no—
856C2×#123—791no—
857C2×#123—791no—
858C2×#123—791no—
859C2×#123—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×#121—791no—
865C2×#121—791no—
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4C2×D7911yescharacteristic
872C22×C22⋊C4C2×D7911yescharacteristic
873C22×C22⋊C4C2×D7911yescharacteristic
874#401—791no—
875#400—791no—
876#400—791no—
877#400—791no—
878#400—791no—
879#400—791no—
880#400—791no—
881#400—791no—
882#400—791no—
883#400—791no—
884#400—791no—
885#400—791no—
886#399—791no—
887#399—791no—
888#398—791no—
889#398—791no—
890#398—791no—
891#398—791no—
892#398—791no—
893#398—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#393—791no—
919#393—791no—
920#392—791no—
921#392—791no—
922#391—791no—
923#390—791no—
924#390—791no—
925#389—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#387—791no—
936#387—791no—
937#387—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386C2×D7911yescharacteristic
953#386C2×D7911yescharacteristic
954#386C2×D7911yescharacteristic
955#386C2×D7911yescharacteristic
956#386C2×D7911yescharacteristic
957#386C2×D7911yescharacteristic
958#386C2×D7911yescharacteristic
959#386C2×D7911yescharacteristic
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#385—791no—
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#382—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#379—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C22⋊C4—791no—
1004C2×#95C2×D7911yescharacteristic
1005C2×#95C2×D7911yescharacteristic
1006C25C22×D7911yescharacteristic
1007C25C22×D7911yescharacteristic
1008C22×Q8—791no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
1020C22×D4C22×D7911yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4C22×D7911yescharacteristic
1030C23×C4C22×D7911yescharacteristic
1031C23×C4C22×D7911yescharacteristic
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034C23×C4C22×D7911yescharacteristic
1035C23×C4C22×D7911yescharacteristic
1036C23×C4C22×D7911yescharacteristic
1037C23×C4C22×D7911yescharacteristic
1038#126—3162no—
1039#123—3162no—
1040#123—3162no—
1041#123—3162no—
1042#123—3162no—
1043#123—3162no—
1044#123—3162no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—3162no—
1047C22⋊Q8—3162no—
1048C22⋊Q8—3162no—
1049#121—3162no—
1050#121—3162no—
1051#120—3162no—
1052#120—1584no—
1053C4×D4—3162no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—3162no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—1584no—
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186#95C22×D7911yescharacteristic
1187#95C22×D7911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—791no—
1202C24#1192962414yes—
1203C24C23×D7911yescharacteristic
1204C24C23×D7911yescharacteristic
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—1582no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—416no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—791no—
1290C22×C4—791no—
1291C22×C4—791no—
1292C22×C4—791no—
1293C22×C4—791no—
1294C22×C4—791no—
1295C22×C4—1582no—
1296C22×C4—1582no—
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C22×C4C23×D7911yescharacteristic
1305C22×C4C23×D7911yescharacteristic
1306C22×C4C23×D7911yescharacteristic
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—1582no—
1336C4⋊C4—1582no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
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—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
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⋊C4—1582no—
1389C42—3161no—
1390C42—3161no—
1391C42—3161no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—28no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23C2×#1192962412yes—
1442C23C2×#1192962412yes—
1443C23C2×#1192962412yes—
1444C23#1457920612yes—
1445C23#1457920612yes—
1446C23#1457920612yes—
1447C23#1457920812yes—
1448C23C24×D7911yescharacteristic
1449Q8—6322no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—3164no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—6322no—
1498C2×C4—6322no—
1499C2×C4—6322no—
1500C2×C4—6322no—
1501C2×C4—6322no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4#1457920612yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—88no—
1584C22—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22—3161no—
1591C22#1909915514yes—
1592C22C22×#1192962411yescharacteristic
1593C22C2×#1457920611yescharacteristic
1594C22C2×#1457920611yescharacteristic
1595C22C2×#1457920611yescharacteristic
1596C22C2×#1457920611yescharacteristic
1597C22C2×#1457920811yescharacteristic
1598C22#1909939911yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—3161no—
1622C4—3161no—
1623C4—3161no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—42no—
1628C2—42no—
1629C2—6321no—
1630C2C2×#1909915511yescharacteristic
1631C2#2377708911yescharacteristic
1632C2#2377723911yescharacteristic
1633C2#2377755511yescharacteristic
1634C2#2377759011yescharacteristic
1635C2#2377761311yescharacteristic
1636C2#2377762211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC2×#386×C79C2
prime radical#23766774C2
hypercenterC2×#386D79
hypocenterC79#36775
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #23771692C2semidirect
2. #23771687C2semidirect
3. #23771073C2semidirect
4. #23770638C2semidirect
5. #23770588C2semidirect
6. #23770582C2semidirect
7. #23770537C2semidirect
8. #23770371C2semidirect
9. #23770118C2semidirect
10. #23770113C2semidirect
11. #23770091C2semidirect
12. #23769953C2semidirect
13. #23769930C2semidirect
14. #23769911C2semidirect
15. #23769906C2semidirect
16. #23769878C2semidirect
17. #23769825C2semidirect
18. #23769756C2semidirect
19. #23769370C2semidirect
20. #23769353C2semidirect
21. #23767901C2semidirect
22. #23767640C2semidirect
23. #23767224C2semidirect
24. #23767061C2semidirect
25. #23766862C2semidirect
26. #23766790C2semidirect
28. #23766723C2semidirect
29. #23766058C2semidirect
30. #23766012C2semidirect
31. C2×#386×C79C2semidirect
32. C2×#14579154C22semidirect
33. C2×#14579145C22semidirect
34. C2×#14579144C22semidirect
35. C2×#14579144C22semidirect
36. C2×#14579143C22semidirect
40. C2×#14579140C22semidirect
41. C2×#14579140C22semidirect
42. C2×#14579138C22semidirect
50. C79⋊#401C22semidirect
51. #19098505C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098505C22semidirect
55. #19098504C22semidirect
56. #19098504C22semidirect
57. #19098504C22semidirect
58. #19098504C22semidirect
59. #19098504C22semidirect
60. #19098504C22semidirect
61. #19098503C22semidirect
62. #19098499C22semidirect
63. #19098499C22semidirect
64. #19098497C22semidirect
65. #19098497C22semidirect
66. #19098497C22semidirect
67. #19098497C22semidirect
68. #19098497C22semidirect
69. #19098497C22semidirect
70. #19098492C22semidirect
71. #19098492C22semidirect
72. #19098492C22semidirect
73. #19098491C22semidirect
74. #19098491C22semidirect
75. #19098491C22semidirect
76. #19098488C22semidirect
77. #19098488C22semidirect
78. #19098488C22semidirect
79. #19098487C22semidirect
80. #19098487C22semidirect
81. #19098486C22semidirect
82. #19098486C22semidirect
83. #19098486C22semidirect
84. #19098479C22semidirect
85. #19098479C22semidirect
86. #19098479C22semidirect
87. #19098478C22semidirect
94. #19098476C22semidirect
95. #19098475C22semidirect
98. #19098467C22semidirect
99. #19098463C22semidirect
100. #19098463C22semidirect
101. #19098460C22semidirect
102. #19098457C22semidirect
103. #19098457C22semidirect
104. #19098457C22semidirect
105. #19098457C22semidirect
106. #19098456C22semidirect
107. #19098456C22semidirect
108. #19098451C22semidirect
109. #19098451C22semidirect
110. #19098451C22semidirect
111. #19098448C22semidirect
112. #19098445C22semidirect
113. #19098445C22semidirect
122. #19098442C22semidirect
123. #19098442C22semidirect
124. #19098440C22semidirect
125. #19098439C22semidirect
126. #19098439C22semidirect
127. #19098439C22semidirect
128. #19098438C22semidirect
129. #19098438C22semidirect
130. #19098437C22semidirect
141. #19098436C22semidirect
142. #19098436C22semidirect
143. #19098436C22semidirect
144. #19098436C22semidirect
145. #19098436C22semidirect
146. #19098436C22semidirect
147. #19098435C22semidirect
148. #19098435C22semidirect
149. #19098435C22semidirect
150. #19098435C22semidirect
151. #19098435C22semidirect
152. #19098427C22semidirect
153. #19098426C22semidirect
154. #19098426C22semidirect
155. #19098424C22semidirect
159. #19098423C22semidirect
160. #19098423C22semidirect
161. #19098422C22semidirect
162. #19098421C22semidirect
163. #19098421C22semidirect
164. #19098421C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
849. C2×#386D79semidirect
850. C79#36775semidirect

Maximal subgroups

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

subgroupindex
#237716922
#237716872
#237710732
#237706382
#237705882
#237705822
#237705372
#237703712
#237701182
#237701132
#237700912
#237699532
#237699302
#237699112
#237699062
#237698782
#237698252
#237697562
#237693702
#237693532
#237679012
#237676402
#237672242
#237670612
#237668622
#237667902
#237667742
#237667232
#237660582
#237660122
C2×#386×C792
#3677579