Finite Group Databasebeta

← #34495796

Subgroups — #34495796

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099180C211yesmaximal, characteristic, complemented
2C2×#19099148C211yesmaximal, characteristic, complemented
3#23771726C211yesmaximal, characteristic, complemented
4#23771697C211yesmaximal, characteristic, complemented
5#23770322C211yesmaximal, characteristic, complemented
6#23770233C211yesmaximal, characteristic, complemented
7#23770206C211yesmaximal, characteristic, complemented
8#23770165C211yesmaximal, characteristic, complemented
9#23770004C211yesmaximal, characteristic, complemented
10#23769976C211yesmaximal, characteristic, complemented
11#23769951C211yesmaximal, characteristic, complemented
12#23769880C211yesmaximal, characteristic, complemented
13#23769830C211yesmaximal, characteristic, complemented
14#23769804C211yesmaximal, characteristic, complemented
15#23769795C211yesmaximal, characteristic, complemented
16#23769778C211yesmaximal, characteristic, complemented
17#23769695C211yesmaximal, characteristic, complemented
18#23769686C211yesmaximal, characteristic, complemented
19#23769622C211yesmaximal, characteristic, complemented
20#23769547C211yesmaximal, characteristic, complemented
21#23769525C211yesmaximal, characteristic, complemented
22#23769083C211yesmaximal, characteristic, complemented
23#23769039C211yesmaximal, characteristic, complemented
24#23769015C211yesmaximal, characteristic, complemented
25#23768993C211yesmaximal, characteristic, complemented
26#23768884C211yesmaximal, characteristic, complemented
27#23768555C211yesmaximal, characteristic, complemented
28#23766824C211yesmaximal, characteristic, complemented
29#23766781C211yesmaximal, characteristic, complemented
30#23765840C211yesmaximal, characteristic, complemented
31C79×#2668C211yesmaximal, characteristic, complemented
32#19099180—28no—
33#19099148—28no—
34C2×#14579160C2211yescharacteristic, complemented
35C2×#14579154C2211yescharacteristic
36C2×#14579154C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579154C2211yescharacteristic, complemented
39C2×#14579148C2211yescharacteristic
40C2×#14579148C2211yescharacteristic
41C2×#14579148C2211yescharacteristic
42C2×#14579148C2211yescharacteristic, complemented
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579142C2211yescharacteristic
47C2×#14579142C2211yescharacteristic
48C2×#14579142C2211yescharacteristic, complemented
49C2×#14579140C2211yescharacteristic, complemented
50C2×#14579139C2211yescharacteristic, complemented
51C2×#14579138C2211yescharacteristic
52C2×#14579138C2211yescharacteristic
53C2×#14579138C2211yescharacteristic, complemented
54C2×#14579133C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579132C2211yescharacteristic
57C2×#14579130C2211yescharacteristic
58C2×#14579126C2211yescharacteristic, complemented
59C2×D4×Dic79C2211yescharacteristic
60C2×(C22⋊D79)⋊C4C2211yescharacteristic
61C2×#14579120C2211yescharacteristic, complemented
62C2×#14579117C2211yescharacteristic
63C22×C22⋊Dic79C2211yescharacteristic
64C22×C4×Dic79C2211yescharacteristic, complemented
65#19098504C2211yescharacteristic, complemented
66#19098501C2211yescharacteristic, complemented
67#19098499C2211yescharacteristic
68#19098497C2211yescharacteristic, complemented
69#19098495C2211yescharacteristic, complemented
70#19098491C2211yescharacteristic
71#19098491C2211yescharacteristic
72#19098491C2211yescharacteristic
73#19098491C2211yescharacteristic
74#19098491C2211yescharacteristic, complemented
75#19098491C2211yescharacteristic, complemented
76#19098489C2211yescharacteristic, complemented
77#19098488C2211yescharacteristic, complemented
78#19098486C2211yescharacteristic
79#19098486C2211yescharacteristic
80#19098486C2211yescharacteristic
81#19098486C2211yescharacteristic, complemented
82#19098484C2211yescharacteristic, complemented
83#19098484C2211yescharacteristic, complemented
84#19098483C2211yescharacteristic, complemented
85#19098479C2211yescharacteristic
86#19098479C2211yescharacteristic
87#19098479C2211yescharacteristic
88#19098479C2211yescharacteristic, complemented
89#19098478C2211yescharacteristic
90#19098478C2211yescharacteristic
91#19098477C2211yescharacteristic
92#19098477C2211yescharacteristic
93#19098477C2211yescharacteristic
94#19098477C2211yescharacteristic
95#19098477C2211yescharacteristic
96#19098476C2211yescharacteristic, complemented
97#19098475C2211yescharacteristic
98#19098475C2211yescharacteristic
99#19098475C2211yescharacteristic
100#19098475C2211yescharacteristic
101#19098475C2211yescharacteristic
102#19098475C2211yescharacteristic, complemented
103#19098471C2211yescharacteristic
104#19098471C2211yescharacteristic
105#19098471C2211yescharacteristic
106#19098471C2211yescharacteristic, complemented
107#19098467C2211yescharacteristic, complemented
108#19098467C2211yescharacteristic, complemented
109#19098467C2211yescharacteristic, complemented
110#19098467C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic
112#19098466C2211yescharacteristic
113#19098466C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic, complemented
118#19098460C2211yescharacteristic, complemented
119#19098460C2211yescharacteristic, complemented
120#19098459C2211yescharacteristic, complemented
121#19098459C2211yescharacteristic, complemented
122#19098459C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic
124#19098456C2211yescharacteristic
125#19098456C2211yescharacteristic
126#19098456C2211yescharacteristic
127#19098456C2211yescharacteristic
128#19098456C2211yescharacteristic, complemented
129#19098455C2211yescharacteristic, complemented
130#19098455C2211yescharacteristic, complemented
131#19098452C2211yescharacteristic, complemented
132#19098452C2211yescharacteristic, complemented
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic
136#19098451C2211yescharacteristic
137#19098451C2211yescharacteristic
138#19098451C2211yescharacteristic
139#19098451C2211yescharacteristic
140#19098451C2211yescharacteristic
141#19098451C2211yescharacteristic, complemented
142#19098451C2211yescharacteristic, complemented
143#19098449C2211yescharacteristic, complemented
144#19098449C2211yescharacteristic, complemented
145#19098448C2211yescharacteristic, complemented
146#19098448C2211yescharacteristic, complemented
147#19098446C2211yescharacteristic, complemented
148#19098445C2211yescharacteristic, complemented
149#19098443C2211yescharacteristic
150#19098443C2211yescharacteristic
151#19098443C2211yescharacteristic
152#19098443C2211yescharacteristic
153#19098443C2211yescharacteristic, complemented
154#19098442C2211yescharacteristic, complemented
155#19098442C2211yescharacteristic, complemented
156#19098440C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098438C2211yescharacteristic
159#19098436C2211yescharacteristic, complemented
160#19098436C2211yescharacteristic, complemented
161#19098435C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic, complemented
163#19098427C2211yescharacteristic, complemented
164#19098424C2211yescharacteristic
165#19098424C2211yescharacteristic
166#19098423C2211yescharacteristic, complemented
167#19098422C2211yescharacteristic, complemented
168#19098419C2211yescharacteristic
169#19098419C2211yescharacteristic
170#19098414C2211yescharacteristic, complemented
171C22⋊C4×Dic79C2211yescharacteristic
172C22⋊C4×Dic79C2211yescharacteristic, complemented
173#19098408C2211yescharacteristic, complemented
174C2×#121×C79C2211yescharacteristic
175C2×#121×C79C2211yescharacteristic
176C2×#120×C79C2211yescharacteristic
177C2×#120×C79C2211yescharacteristic
178#399×C79C2211yescharacteristic
179#397×C79C2211yescharacteristic
180#397×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#394×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#386×C79C2211yescharacteristic
187#386×C79C2211yescharacteristic
188#379×C79C2211yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203#14579160—24no—
204#14579154—24no—
205#14579154—24no—
206#14579154—24no—
207#14579154—24no—
208#14579148—24no—
209#14579148—24no—
210#14579148—24no—
211#14579148—24no—
212#14579147—24no—
213#14579147—42no—
214#14579143—24no—
215#14579142—24no—
216#14579142—24no—
217#14579142—24no—
218#14579140—24no—
219#14579139—42no—
220#14579138—24no—
221#14579138—24no—
222#14579138—24no—
223#14579133—24no—
224#14579133—24no—
225#14579132—24no—
226#14579130—24no—
227#14579126—24no—
228D4×Dic79D418yescomplemented
229(C22⋊D79)⋊C4—24no—
230#14579120—24no—
231#14579117—42no—
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×C22⋊Dic79—24no—
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×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
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×(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×C4×Dic79—42no—
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
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
340C25×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2311yescharacteristic
346C22×D4×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C23×C4×C79C2311yescharacteristic
349C23×C4×C79C2311yescharacteristic
350#121×C79—24no—
351#121×C79—42no—
352#120×C79—24no—
353#120×C79—42no—
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379C23×D79C2411yescharacteristic
380C2×Dic158—22no—
381C2×Dic158—22no—
382C2×Dic158—22no—
383C2×Dic158—22no—
384C2×Dic158—41no—
385C2×Dic158—41no—
386C2×Dic158—41no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×Dic158—41no—
391C2×Dic158—41no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C22×Dic79—22no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79C2×D414yes—
418C22×Dic79C2×D414yes—
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C2×C4×D79—22no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C4⋊Dic79—22no—
438C4⋊Dic79—22no—
439C4⋊Dic79—22no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443C4⋊Dic79—41no—
444C4⋊Dic79C2×D414yes—
445Dic79⋊C4—22no—
446Dic79⋊C4—22no—
447Dic79⋊C4—22no—
448Dic79⋊C4—22no—
449Dic79⋊C4—22no—
450Dic79⋊C4—22no—
451Dic79⋊C4—22no—
452Dic79⋊C4—22no—
453Dic79⋊C4—22no—
454Dic79⋊C4—22no—
455Dic79⋊C4—22no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462C22⋊Dic79—22no—
463C22⋊Dic79—22no—
464C22⋊Dic79—22no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
467C22⋊Dic79—22no—
468C22⋊Dic79—22no—
469C22⋊Dic79—22no—
470C22⋊Dic79—22no—
471C22⋊Dic79—22no—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79C2×D414yes—
492C22⋊Dic79C2×D414yes—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502C4×Dic79—22no—
503C4×Dic79—22no—
504C4×Dic79—22no—
505C4×Dic79—22no—
506C4×Dic79—22no—
507C4×Dic79—22no—
508C4×Dic79—41no—
509C4×Dic79—41no—
510C4×Dic79—41no—
511C4×Dic79—41no—
512C4×Dic79C2×D414yes—
513C24×C79—22no—
514C24×C79—41no—
515C24×C79—41no—
516C24×C79—41no—
517C24×C79—41no—
518C24×C79—41no—
519C24×C79—41no—
520C24×C79C2411yescharacteristic
521C24×C79C2411yescharacteristic
522C24×C79C2411yescharacteristic
523C24×C79C2411yescharacteristic
524C24×C79C2411yescharacteristic
525C2×D4×C79—22no—
526C2×D4×C79—22no—
527C2×D4×C79—22no—
528C2×D4×C79—22no—
529C2×D4×C79—22no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79C2×D414yes—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
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×C79C2411yescharacteristic
562C4⋊C4×C79—22no—
563C4⋊C4×C79—22no—
564C4⋊C4×C79—41no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
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×C79—41no—
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—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—44no—
615C23×C79—82no—
616C23×C79—82no—
617C23×C79—82no—
618C23×C79—82no—
619C23×C79—82no—
620C23×C79—82no—
621C23×C79C22×D412yes—
622C23×C79C22×D412yes—
623C23×C79C2511yescharacteristic
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631D4×C79—44no—
632D4×C79—82no—
633D4×C79—82no—
634D4×C79—82no—
635D4×C79—82no—
636D4×C79—82no—
637D4×C79—82no—
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—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—44no—
667C2×C4×C79—44no—
668C2×C4×C79C22×D412yes—
669C2×C4×C79H(5,𝔽2)12yes—
670C22⋊D79—44no—
671C22⋊D79—82no—
672C22⋊D79—82no—
673C22⋊D79—82no—
674C22⋊D79—82no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—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—44no—
717C2×Dic79—44no—
718C2×Dic79—44no—
719C2×Dic79—82no—
720C2×Dic79C22×D412yes—
721C2×Dic79C22×D412yes—
722C2×Dic79C22×D412yes—
723C2×Dic79C22×D412yes—
724C4×D79—82no—
725Dic158—44no—
726Dic158—82no—
727Dic158—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
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×C79C23×D411yescharacteristic
766C22×C79C2×H(5,𝔽2)11yescharacteristic
767C22×C79#58511yescharacteristic
768C22×C79#58511yescharacteristic
769C22×C79#58511yescharacteristic
770C22×C79#58511yescharacteristic
771C22×C79#58511yescharacteristic
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C4×C79—22no—
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—
789Dic79—22no—
790Dic79—22no—
791Dic79—22no—
792Dic79—22no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804#36745—791nomaximal, Sylow
805C2×C79—42no—
806C2×C79—42no—
807C2×C79—81no—
808C2×C79—81no—
809C2×C79—81no—
810C2×C79#344911yescharacteristic
811C2×C79#349611yescharacteristic
812C2×C79#350011yescharacteristic
813C2×C79#353311yescharacteristic
814C2×C79#354011yescharacteristic
815C2×C79#356611yescharacteristic
816C2×C79#356811yescharacteristic
817D79—81no—
818C2×#542—791no—
819C2×#538—791no—
820#2854—791no—
821#2850—791no—
822#2723—791no—
823#2716—791no—
824#2715—791no—
825#2712—791no—
826#2700—791no—
827#2698—791no—
828#2696—791no—
829#2691—791no—
830#2688—791no—
831#2686—791no—
832#2685—791no—
833#2684—791no—
834#2676—791no—
835#2674—791no—
836#2670—791no—
837#2668D7911yescharacteristic, complemented
838#2663—791no—
839#2661—791no—
840#2610—791no—
841#2604—791no—
842#2602—791no—
843#2601—791no—
844#2592—791no—
845#2561—791no—
846#2415—791no—
847#2411—791no—
848#2290—791no—
849C79#3674511yescharacteristic, complemented, Sylow
850#542—1588no—
851#538—1588no—
852C2×C4⋊Q8—791no—
853C2×#126—791no—
854C2×#126—791no—
855C2×#126—791no—
856C2×#126—791no—
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#124—791no—
861C2×#124—791no—
862C2×#124—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123—791no—
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8—791no—
872C2×#121—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121C2×D7911yescharacteristic
876C2×#121C2×D7911yescharacteristic
877C2×#120—791no—
878C2×#120C2×D7911yescharacteristic
879C2×#120C2×D7911yescharacteristic
880C2×C4×Q8—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C2×#117—791no—
884C2×#117—791no—
885C22×C22⋊C4—791no—
886C22×C42—791no—
887#400—791no—
888#400—791no—
889#399—791no—
890#399C2×D7911yescharacteristic
891#398—791no—
892#398—791no—
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397C2×D7911yescharacteristic
902#397C2×D7911yescharacteristic
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#395—791no—
908#395—791no—
909#395—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#394—791no—
919#394—791no—
920#394—791no—
921#394C2×D7911yescharacteristic
922#394C2×D7911yescharacteristic
923#393—791no—
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#393—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392C2×D7911yescharacteristic
935#391—791no—
936#391—791no—
937#391—791no—
938#391—791no—
939#390—791no—
940#390—791no—
941#390—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#386—791no—
978#386—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386C2×D7911yescharacteristic
987#386C2×D7911yescharacteristic
988#386C2×D7911yescharacteristic
989#386C2×D7911yescharacteristic
990#385—791no—
991#385—791no—
992#385—791no—
993#385—791no—
994#385—791no—
995#382—791no—
996#381—791no—
997#381—791no—
998#380—791no—
999#380—791no—
1000#379—791no—
1001#379—791no—
1002#379C2×D7911yescharacteristic
1003C4×C4⋊C4—791no—
1004C4×C22⋊C4—791no—
1005C4×C22⋊C4—791no—
1006#376—791no—
1007C25C22×D7911yescharacteristic
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8—791no—
1011C22×Q8—791no—
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
1021C22×D4C22×D7911yescharacteristic
1022C22×D4C22×D7911yescharacteristic
1023C22×D4C22×D7911yescharacteristic
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4C22×D7911yescharacteristic
1030C23×C4C22×D7911yescharacteristic
1031C4⋊Q8—1584no—
1032#126—1584no—
1033#126—1584no—
1034#126—1584no—
1035#126—1584no—
1036#124—3162no—
1037#124—1584no—
1038#124—1584no—
1039#124—1584no—
1040#124—1584no—
1041#124—1584no—
1042#123—1584no—
1043#123—1584no—
1044#123—1584no—
1045#123—1584no—
1046C22⋊Q8—3162no—
1047C22⋊Q8—1584no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051#121—24no—
1052#121—42no—
1053#121—1584no—
1054#121—1584no—
1055#121—1584no—
1056#120—24no—
1057#120—42no—
1058#120—1584no—
1059C4×Q8—1584no—
1060C4×D4—798no—
1061C4×D4—1584no—
1062#117—3162no—
1063#117—1584no—
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×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C42—3162no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—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#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—791no—
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—1582no—
1219C2×Q8—1582no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—1582no—
1254C2×D4—1582no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4D4×D7914yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
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—794no—
1276C22×C4—794no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
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—1582no—
1293C22×C4—1582no—
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
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—794no—
1318C4⋊C4—1582no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
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—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—794no—
1369C22⋊C4—794no—
1370C22⋊C4—1582no—
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—
1388C42—3161no—
1389C42—3161no—
1390C42—3161no—
1391C42—3161no—
1392C42—794no—
1393C42—1582no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C42—1582no—
1398C42—1582no—
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—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—44no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23C2×D4×D7912yes—
1447C23C2×D4×D7912yes—
1448C23C24×D7911yescharacteristic
1449Q8—3164no—
1450Q8—6322no—
1451Q8—6322no—
1452Q8—6322no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—3164no—
1461D4—6322no—
1462D4—6322no—
1463D4—6322no—
1464D4—6322no—
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—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—3164no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—792no—
1499C2×C4—792no—
1500C2×C4—792no—
1501C2×C4—792no—
1502C2×C4—6322no—
1503C2×C4—6322no—
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×C4C2×D4×D7912yes—
1546C2×C4#1457920612yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
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—88no—
1583C22—3161no—
1584C22—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22C22×D4×D7911yescharacteristic
1591C22C2×#1457920611yescharacteristic
1592C22#1909939811yescharacteristic
1593C22#1909939811yescharacteristic
1594C22#1909939811yescharacteristic
1595C22#1909939811yescharacteristic
1596C22#1909939911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—1582no—
1619C4—1582no—
1620C4—1582no—
1621C4—1582no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—6321no—
1628C2#2377672611yescharacteristic
1629C2#2377715611yescharacteristic
1630C2#2377718611yescharacteristic
1631C2#2377756111yescharacteristic
1632C2#2377766411yescharacteristic
1633C2#2377805711yescharacteristic
1634C2#2377809311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2668C2
hypercenter#2668D79
hypocenterC79#36745
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#19099180C2semidirect
2. C2×#19099148C2semidirect
3. #23771726C2semidirect
4. #23771697C2semidirect
5. #23770322C2semidirect
6. #23770233C2semidirect
7. #23770206C2semidirect
8. #23770165C2semidirect
9. #23770004C2semidirect
10. #23769976C2semidirect
11. #23769951C2semidirect
12. #23769880C2semidirect
13. #23769830C2semidirect
14. #23769804C2semidirect
15. #23769795C2semidirect
16. #23769778C2semidirect
17. #23769695C2semidirect
18. #23769686C2semidirect
19. #23769622C2semidirect
20. #23769547C2semidirect
21. #23769525C2semidirect
22. #23769083C2semidirect
23. #23769039C2semidirect
24. #23769015C2semidirect
25. #23768993C2semidirect
26. #23768884C2semidirect
27. #23768555C2semidirect
28. #23766824C2semidirect
29. #23766781C2semidirect
30. #23765840C2semidirect
31. C79×#2668C2semidirect
34. C2×#14579160C22semidirect
38. C2×#14579154C22semidirect
42. C2×#14579148C22semidirect
48. C2×#14579142C22semidirect
49. C2×#14579140C22semidirect
50. C2×#14579139C22semidirect
53. C2×#14579138C22semidirect
58. C2×#14579126C22semidirect
61. C2×#14579120C22semidirect
64. C22×C4×Dic79C22semidirect
65. #19098504C22semidirect
66. #19098501C22semidirect
68. #19098497C22semidirect
69. #19098495C22semidirect
74. #19098491C22semidirect
75. #19098491C22semidirect
76. #19098489C22semidirect
77. #19098488C22semidirect
81. #19098486C22semidirect
82. #19098484C22semidirect
83. #19098484C22semidirect
84. #19098483C22semidirect
88. #19098479C22semidirect
96. #19098476C22semidirect
102. #19098475C22semidirect
106. #19098471C22semidirect
107. #19098467C22semidirect
108. #19098467C22semidirect
109. #19098467C22semidirect
110. #19098467C22semidirect
117. #19098463C22semidirect
118. #19098460C22semidirect
119. #19098460C22semidirect
120. #19098459C22semidirect
121. #19098459C22semidirect
122. #19098459C22semidirect
128. #19098456C22semidirect
129. #19098455C22semidirect
130. #19098455C22semidirect
131. #19098452C22semidirect
132. #19098452C22semidirect
141. #19098451C22semidirect
142. #19098451C22semidirect
143. #19098449C22semidirect
144. #19098449C22semidirect
145. #19098448C22semidirect
146. #19098448C22semidirect
147. #19098446C22semidirect
148. #19098445C22semidirect
153. #19098443C22semidirect
154. #19098442C22semidirect
155. #19098442C22semidirect
156. #19098440C22semidirect
157. #19098439C22semidirect
159. #19098436C22semidirect
160. #19098436C22semidirect
161. #19098435C22semidirect
162. #19098434C22semidirect
163. #19098427C22semidirect
166. #19098423C22semidirect
167. #19098422C22semidirect
170. #19098414C22semidirect
172. C22⋊C4×Dic79C22semidirect
173. #19098408C22semidirect
228. D4×Dic79D4semidirect
837. #2668D79semidirect
849. C79#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#190991802
C2×#190991482
#237717262
#237716972
#237703222
#237702332
#237702062
#237701652
#237700042
#237699762
#237699512
#237698802
#237698302
#237698042
#237697952
#237697782
#237696952
#237696862
#237696222
#237695472
#237695252
#237690832
#237690392
#237690152
#237689932
#237688842
#237685552
#237668242
#237667812
#237658402
C79×#26682
#3674579