Finite Group Databasebeta

← #32203362

Subgroups — #32203362

Order 18176.

3202 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986527C211yesmaximal, characteristic, complemented
2C22×C42×D71C211yesmaximal, characteristic, complemented
3#22596675C211yesmaximal, characteristic, complemented
4#22596667C211yesmaximal, characteristic, complemented
5#22596664C211yesmaximal, characteristic, complemented
6#22596660C211yesmaximal, characteristic, complemented
7#22596658C211yesmaximal, characteristic, complemented
8#22596657C211yesmaximal, characteristic, complemented
9#22596654C211yesmaximal, characteristic, complemented
10#22596653C211yesmaximal, characteristic, complemented
11#22596647C211yesmaximal, characteristic, complemented
12#22596646C211yesmaximal, characteristic, complemented
13#22596638C211yesmaximal, characteristic, complemented
14#22596637C211yesmaximal, characteristic, complemented
15#22596635C211yesmaximal, characteristic, complemented
16#22596631C211yesmaximal, characteristic, complemented
17#22596626C211yesmaximal, characteristic, complemented
18#22596621C211yesmaximal, characteristic
19C4×#14556106C211yesmaximal, characteristic, complemented
20C4×#14556105C211yesmaximal, characteristic, complemented
21C4×#14556113C211yesmaximal, characteristic, complemented
22C4×#14556110C211yesmaximal, characteristic, complemented
23C4×#14556101C211yesmaximal, characteristic, complemented
24C4×#14556100C211yesmaximal, characteristic, complemented
25C4×#14556098C211yesmaximal, characteristic, complemented
26C4×#14556096C211yesmaximal, characteristic, complemented
27#22590784C211yesmaximal, characteristic, complemented
28#22590783C211yesmaximal, characteristic, complemented
29#22590777C211yesmaximal, characteristic, complemented
30#22590732C211yesmaximal, characteristic, complemented
31C71×#2290C211yesmaximal, characteristic, complemented
32C23×C4×D71C2211yescharacteristic
33C23×C4×D71C2211yescharacteristic
34C23×C4×D71C2211yescharacteristic
35#17986527—28no—
36C2×#14556123C2211yescharacteristic, complemented
37C2×#14556121C2211yescharacteristic, complemented
38C2×#14556118C2211yescharacteristic, complemented
39C2×#14556114C2211yescharacteristic, complemented
40C2×#14556113C2211yescharacteristic
41C2×#14556113C2211yescharacteristic
42C2×#14556110C2211yescharacteristic
43C2×#14556110C2211yescharacteristic
44C2×#14556106C2211yescharacteristic
45C2×#14556106C2211yescharacteristic
46C2×#14556105C2211yescharacteristic
47C2×#14556101C2211yescharacteristic
48C2×#14556101C2211yescharacteristic
49C2×#14556100C2211yescharacteristic
50C2×#14556098C2211yescharacteristic
51C2×#14556096C2211yescharacteristic
52C2×C4×Dic142C2211yescharacteristic, complemented
53C2×C4×D284C2211yescharacteristic
54C2×C4×D284C2211yescharacteristic
55C2×C4×C22⋊D71C2211yescharacteristic
56C2×C4×C22⋊D71C2211yescharacteristic
57C2×C4×C22⋊D71C2211yescharacteristic
58C2×C4×C22⋊D71C2211yescharacteristic, complemented
59C2×#14556085C2211yescharacteristic, complemented
60C22×C4×Dic71C2211yescharacteristic
61C22×C4×Dic71C2211yescharacteristic
62C22×C4×Dic71C2211yescharacteristic
63C2×C42×D71—28no—
64C2×C42×D71C2211yescharacteristic
65C2×C42×D71C2211yescharacteristic
66C2×C42×D71C2211yescharacteristic
67C2×C42×D71C2211yescharacteristic
68C2×C42×D71C2211yescharacteristic
69C2×C42×D71C2211yescharacteristic
70C2×C42×D71C2211yescharacteristic
71C2×C42×D71C2211yescharacteristic
72#17985903C2211yescharacteristic, complemented
73#17985903C2211yescharacteristic, complemented
74#17985899C2211yescharacteristic, complemented
75#17985899C2211yescharacteristic, complemented
76#17985896C2211yescharacteristic, complemented
77#17985896C2211yescharacteristic, complemented
78#17985894C2211yescharacteristic, complemented
79#17985894C2211yescharacteristic, complemented
80#17985893C2211yescharacteristic, complemented
81#17985893C2211yescharacteristic, complemented
82#17985892C2211yescharacteristic, complemented
83#17985892C2211yescharacteristic, complemented
84#17985891C2211yescharacteristic, complemented
85#17985891C2211yescharacteristic, complemented
86#17985890C2211yescharacteristic, complemented
87#17985890C2211yescharacteristic, complemented
88#17985889C2211yescharacteristic, complemented
89#17985889C2211yescharacteristic, complemented
90#17985888C2211yescharacteristic, complemented
91#17985888C2211yescharacteristic, complemented
92#17985887C2211yescharacteristic, complemented
93#17985887C2211yescharacteristic, complemented
94#17985886C2211yescharacteristic, complemented
95#17985886C2211yescharacteristic, complemented
96#17985885C2211yescharacteristic, complemented
97#17985885C2211yescharacteristic, complemented
98#17985884C2211yescharacteristic, complemented
99#17985884C2211yescharacteristic, complemented
100#17985883C2211yescharacteristic, complemented
101#17985883C2211yescharacteristic, complemented
102#17985882C2211yescharacteristic, complemented
103#17985882C2211yescharacteristic, complemented
104#17985881C2211yescharacteristic, complemented
105#17985881C2211yescharacteristic, complemented
106#17985880C2211yescharacteristic, complemented
107#17985880C2211yescharacteristic, complemented
108#17985879C2211yescharacteristic
109#17985879C2211yescharacteristic
110#17985878C2211yescharacteristic
111#17985878C2211yescharacteristic
112#17985877C2211yescharacteristic
113#17985877C2211yescharacteristic
114#17985877C2211yescharacteristic
115#17985877C2211yescharacteristic
116#17985877C2211yescharacteristic
117#17985877C2211yescharacteristic
118#17985876C2211yescharacteristic
119#17985876C2211yescharacteristic
120#17985875C2211yescharacteristic
121#17985875C2211yescharacteristic
122#17985875C2211yescharacteristic
123#17985875C2211yescharacteristic
124#17985875C2211yescharacteristic
125#17985875C2211yescharacteristic
126#17985874C2211yescharacteristic
127#17985874C2211yescharacteristic
128#17985873C2211yescharacteristic
129#17985873C2211yescharacteristic
130#17985873C2211yescharacteristic
131#17985873C2211yescharacteristic
132#17985873C2211yescharacteristic
133#17985873C2211yescharacteristic
134#17985872C2211yescharacteristic
135#17985872C2211yescharacteristic
136#17985871C2211yescharacteristic
137#17985871C2211yescharacteristic
138#17985870C2211yescharacteristic
139#17985870C2211yescharacteristic
140#17985870C2211yescharacteristic
141#17985870C2211yescharacteristic
142#17985870C2211yescharacteristic
143#17985870C2211yescharacteristic
144#17985866C2211yescharacteristic, complemented
145#17985866C2211yescharacteristic, complemented
146#17985863C2211yescharacteristic, complemented
147#17985863C2211yescharacteristic, complemented
148#17985861C2211yescharacteristic
149#17985861C2211yescharacteristic
150#17985861C2211yescharacteristic
151#17985861C2211yescharacteristic
152#17985858C2211yescharacteristic
153#17985858C2211yescharacteristic
154#17985858C2211yescharacteristic
155#17985858C2211yescharacteristic
156#17985857C2211yescharacteristic
157#17985857C2211yescharacteristic
158#17985854C2211yescharacteristic
159#17985854C2211yescharacteristic
160C4×Dic71⋊C4C2211yescharacteristic, complemented
161C4×Dic71⋊C4C2211yescharacteristic, complemented
162C4×Dic71⋊C4C2211yescharacteristic, complemented
163C4×Dic71⋊C4C2211yescharacteristic, complemented
164C4×C4⋊Dic71C2211yescharacteristic, complemented
165C4×(C2×D71)⋊C4C2211yescharacteristic
166C4×(C2×D71)⋊C4C2211yescharacteristic
167C4×(C2×D71)⋊C4C2211yescharacteristic
168C4×(C2×D71)⋊C4C2211yescharacteristic
169C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic71C2211yescharacteristic
172C4×C22⋊Dic71C2211yescharacteristic, complemented
173#17985845C2211yescharacteristic, complemented
174C2×C4×D4×C71C2211yescharacteristic
175C2×#117×C71C2211yescharacteristic, complemented
176C22×C42×C71C2211yescharacteristic
177#388×C71C2211yescharacteristic, complemented
178#388×C71C2211yescharacteristic, complemented
179#387×C71C2211yescharacteristic, complemented
180#387×C71C2211yescharacteristic, complemented
181#386×C71C2211yescharacteristic
182#386×C71C2211yescharacteristic
183#385×C71C2211yescharacteristic
184#385×C71C2211yescharacteristic
185C4×C4⋊C4×C71C2211yescharacteristic, complemented
186C4×C22⋊C4×C71C2211yescharacteristic
187C4×C22⋊C4×C71C2211yescharacteristic, complemented
188#376×C71C2211yescharacteristic, complemented
189C24×D71C2311yescharacteristic
190C22×Dic142C2311yescharacteristic
191C22×D284C2311yescharacteristic
192C22×D284C2311yescharacteristic
193C22×C22⋊D71C2311yescharacteristic
194C22×C22⋊D71C2311yescharacteristic
195C22×C22⋊D71C2311yescharacteristic
196C22×C22⋊D71C2311yescharacteristic
197C23×Dic71C2311yescharacteristic
198C23×Dic71C2311yescharacteristic
199C23×Dic71C2311yescharacteristic
200C22×C4×D71—24no—
201C22×C4×D71—24no—
202C22×C4×D71—24no—
203C22×C4×D71—24no—
204C22×C4×D71—24no—
205C22×C4×D71—24no—
206C22×C4×D71—24no—
207C22×C4×D71—24no—
208C22×C4×D71—24no—
209C22×C4×D71C2311yescharacteristic
210C22×C4×D71C2311yescharacteristic
211C22×C4×D71C2311yescharacteristic
212C22×C4×D71C2311yescharacteristic
213C22×C4×D71C2311yescharacteristic
214C22×C4×D71C2311yescharacteristic
215C22×C4×D71C2311yescharacteristic
216C22×C4×D71C2311yescharacteristic
217C22×C4×D71C2311yescharacteristic
218C22×C4×D71C2311yescharacteristic
219C22×C4×D71C2311yescharacteristic
220C22×C4×D71C2311yescharacteristic
221C22×C4×D71C2311yescharacteristic
222#14556123—24no—
223#14556121—24no—
224#14556118—24no—
225#14556114—24no—
226#14556113—24no—
227#14556113—24no—
228#14556110—24no—
229#14556110—24no—
230#14556106—24no—
231#14556106—24no—
232#14556105—24no—
233#14556101—24no—
234#14556101—24no—
235#14556100—24no—
236#14556098—24no—
237#14556096—24no—
238C4×Dic142—24no—
239C4×D284—24no—
240C4×D284—24no—
241C4×C22⋊D71—24no—
242C4×C22⋊D71—24no—
243C4×C22⋊D71—24no—
244C4×C22⋊D71—24no—
245#14556085—24no—
246C2×C4⋊Dic71C2311yescharacteristic
247C2×C4⋊Dic71C2311yescharacteristic
248C2×C4⋊Dic71C2311yescharacteristic
249C2×C4⋊Dic71C2311yescharacteristic
250C2×C4⋊Dic71C2311yescharacteristic
251C2×Dic71⋊C4C2311yescharacteristic
252C2×Dic71⋊C4C2311yescharacteristic
253C2×Dic71⋊C4C2311yescharacteristic
254C2×Dic71⋊C4C2311yescharacteristic
255C2×Dic71⋊C4C2311yescharacteristic
256C2×Dic71⋊C4C2311yescharacteristic
257C2×Dic71⋊C4C2311yescharacteristic
258C2×Dic71⋊C4C2311yescharacteristic
259C2×Dic71⋊C4C2311yescharacteristic
260C2×Dic71⋊C4C2311yescharacteristic
261C2×Dic71⋊C4C2311yescharacteristic
262C2×Dic71⋊C4C2311yescharacteristic
263C2×Dic71⋊C4C2311yescharacteristic
264C2×Dic71⋊C4C2311yescharacteristic
265C2×Dic71⋊C4C2311yescharacteristic
266C2×Dic71⋊C4C2311yescharacteristic
267C2×C22⋊Dic71C2311yescharacteristic
268C2×C22⋊Dic71C2311yescharacteristic
269C2×C22⋊Dic71C2311yescharacteristic
270C2×C22⋊Dic71C2311yescharacteristic
271C2×C22⋊Dic71C2311yescharacteristic
272C2×C22⋊Dic71C2311yescharacteristic
273C2×C22⋊Dic71C2311yescharacteristic
274C2×C22⋊Dic71C2311yescharacteristic
275C2×(C2×D71)⋊C4C2311yescharacteristic
276C2×(C2×D71)⋊C4C2311yescharacteristic
277C2×(C2×D71)⋊C4C2311yescharacteristic
278C2×(C2×D71)⋊C4C2311yescharacteristic
279C2×(C2×D71)⋊C4C2311yescharacteristic
280C2×(C2×D71)⋊C4C2311yescharacteristic
281C2×(C2×D71)⋊C4C2311yescharacteristic
282C2×(C2×D71)⋊C4C2311yescharacteristic
283C2×(C2×D71)⋊C4C2311yescharacteristic
284C2×(C2×D71)⋊C4C2311yescharacteristic
285C2×(C2×D71)⋊C4C2311yescharacteristic
286C2×(C2×D71)⋊C4C2311yescharacteristic
287C2×(C2×D71)⋊C4C2311yescharacteristic
288C2×(C2×D71)⋊C4C2311yescharacteristic
289C2×(C2×D71)⋊C4C2311yescharacteristic
290C2×(C2×D71)⋊C4C2311yescharacteristic
291C2×(C2×D71)⋊C4C2311yescharacteristic
292C2×(C2×D71)⋊C4C2311yescharacteristic
293C2×(C2×D71)⋊C4C2311yescharacteristic
294C2×(C2×D71)⋊C4C2311yescharacteristic
295C2×(C2×D71)⋊C4C2311yescharacteristic
296C2×(C2×D71)⋊C4C2311yescharacteristic
297C2×C4×Dic71—24no—
298C2×C4×Dic71—24no—
299C2×C4×Dic71—24no—
300C2×C4×Dic71C2311yescharacteristic
301C2×C4×Dic71C2311yescharacteristic
302C2×C4×Dic71C2311yescharacteristic
303C2×C4×Dic71C2311yescharacteristic
304C2×C4×Dic71C2311yescharacteristic
305C2×C4×Dic71C2311yescharacteristic
306C2×C4×Dic71C2311yescharacteristic
307C2×C4×Dic71C2311yescharacteristic
308C2×C4×Dic71C2311yescharacteristic
309C2×C4×Dic71C2311yescharacteristic
310C2×C4×Dic71C2311yescharacteristic
311C2×C4×Dic71C2311yescharacteristic
312C2×C4×Dic71C2311yescharacteristic
313C2×C4×Dic71C2311yescharacteristic
314C2×C4×Dic71C2311yescharacteristic
315C42×D71—24no—
316C42×D71—24no—
317C42×D71—24no—
318C42×D71—24no—
319C42×D71—24no—
320C42×D71—24no—
321C42×D71—24no—
322C42×D71D418yescomplemented
323C71⋊#95C2311yescharacteristic
324C71⋊#95C2311yescharacteristic
325C71⋊#95C2311yescharacteristic
326C71⋊#95C2311yescharacteristic
327C71⋊#95C2311yescharacteristic
328C71⋊#95C2311yescharacteristic
329C71⋊#95C2311yescharacteristic
330C71⋊#95C2311yescharacteristic
331C71⋊#95C2311yescharacteristic
332C71⋊#95C2311yescharacteristic
333C71⋊#95C2311yescharacteristic
334C71⋊#95C2311yescharacteristic
335C71⋊#95C2311yescharacteristic
336C71⋊#95C2311yescharacteristic
337C71⋊#95C2311yescharacteristic
338C71⋊#95C2311yescharacteristic
339C71⋊#95C2311yescharacteristic
340C71⋊#95C2311yescharacteristic
341C71⋊#95C2311yescharacteristic
342C71⋊#95C2311yescharacteristic
343C71⋊#95C2311yescharacteristic
344C71⋊#95C2311yescharacteristic
345C71⋊#95C2311yescharacteristic
346C71⋊#95C2311yescharacteristic
347C71⋊#95C2311yescharacteristic
348C71⋊#95C2311yescharacteristic
349C71⋊#95C2311yescharacteristic
350C71⋊#95C2311yescharacteristic
351C71⋊#95C2311yescharacteristic
352C71⋊#95C2311yescharacteristic
353C22×D4×C71C2311yescharacteristic
354C23×C4×C71C2311yescharacteristic
355C23×C4×C71C2311yescharacteristic
356C23×C4×C71C2311yescharacteristic
357C23×C4×C71C2311yescharacteristic
358C4×D4×C71—24no—
359#117×C71—24no—
360C2×C4⋊C4×C71C2311yescharacteristic
361C2×C4⋊C4×C71C2311yescharacteristic
362C2×C4⋊C4×C71C2311yescharacteristic
363C2×C4⋊C4×C71C2311yescharacteristic
364C2×C4⋊C4×C71C2311yescharacteristic
365C2×C22⋊C4×C71C2311yescharacteristic
366C2×C22⋊C4×C71C2311yescharacteristic
367C2×C22⋊C4×C71C2311yescharacteristic
368C2×C22⋊C4×C71C2311yescharacteristic
369C2×C22⋊C4×C71C2311yescharacteristic
370C2×C22⋊C4×C71C2311yescharacteristic
371C2×C22⋊C4×C71C2311yescharacteristic
372C2×C22⋊C4×C71C2311yescharacteristic
373C2×C42×C71—24no—
374C2×C42×C71C2311yescharacteristic
375C2×C42×C71C2311yescharacteristic
376C2×C42×C71C2311yescharacteristic
377C2×C42×C71C2311yescharacteristic
378C2×C42×C71C2311yescharacteristic
379C2×C42×C71C2311yescharacteristic
380C2×C42×C71C2311yescharacteristic
381#95×C71C2311yescharacteristic
382#95×C71C2311yescharacteristic
383#95×C71C2311yescharacteristic
384#95×C71C2311yescharacteristic
385#95×C71C2311yescharacteristic
386#95×C71C2311yescharacteristic
387#95×C71C2311yescharacteristic
388#95×C71C2311yescharacteristic
389#95×C71C2311yescharacteristic
390#95×C71C2311yescharacteristic
391C23×D71—22no—
392C23×D71—22no—
393C23×D71—22no—
394C23×D71—22no—
395C23×D71—22no—
396C23×D71—22no—
397C23×D71#4114yes—
398C23×D71C2411yescharacteristic
399C23×D71C2411yescharacteristic
400C23×D71C2411yescharacteristic
401C2×Dic142—22no—
402C2×Dic142—22no—
403C2×Dic142—22no—
404C2×D284—22no—
405C2×D284—22no—
406C2×D284—22no—
407C2×D284—22no—
408C2×D284—22no—
409C2×D284—22no—
410C2×C22⋊D71—22no—
411C2×C22⋊D71—22no—
412C2×C22⋊D71—22no—
413C2×C22⋊D71—22no—
414C2×C22⋊D71—22no—
415C2×C22⋊D71—22no—
416C2×C22⋊D71—22no—
417C2×C22⋊D71—22no—
418C2×C22⋊D71—22no—
419C2×C22⋊D71—22no—
420C2×C22⋊D71—22no—
421C2×C22⋊D71—22no—
422C22×Dic71—22no—
423C22×Dic71—22no—
424C22×Dic71—22no—
425C22×Dic71—22no—
426C22×Dic71—22no—
427C22×Dic71—22no—
428C22×Dic71—22no—
429C22×Dic71—22no—
430C22×Dic71#4114yes—
431C22×Dic71C2411yescharacteristic
432C22×Dic71C2411yescharacteristic
433C22×Dic71C2411yescharacteristic
434C22×Dic71C2411yescharacteristic
435C22×Dic71C2411yescharacteristic
436C22×Dic71C2411yescharacteristic
437C22×Dic71C2411yescharacteristic
438C22×Dic71C2411yescharacteristic
439C22×Dic71C2411yescharacteristic
440C22×Dic71C2411yescharacteristic
441C22×Dic71C2411yescharacteristic
442C22×Dic71C2411yescharacteristic
443C22×Dic71C2411yescharacteristic
444C2×C4×D71—232no—
445C2×C4×D71—232no—
446C2×C4×D71—232no—
447C2×C4×D71—22no—
448C2×C4×D71—22no—
449C2×C4×D71—22no—
450C2×C4×D71—22no—
451C2×C4×D71—22no—
452C2×C4×D71—22no—
453C2×C4×D71—22no—
454C2×C4×D71—22no—
455C2×C4×D71—22no—
456C2×C4×D71—22no—
457C2×C4×D71—22no—
458C2×C4×D71—22no—
459C2×C4×D71—22no—
460C2×C4×D71—22no—
461C2×C4×D71—22no—
462C2×C4×D71—22no—
463C2×C4×D71—22no—
464C2×C4×D71—22no—
465C2×C4×D71—22no—
466C2×C4×D71—22no—
467C2×C4×D71—22no—
468C2×C4×D71—22no—
469C2×C4×D71—22no—
470C2×C4×D71—22no—
471C2×C4×D71—22no—
472C2×C4×D71—22no—
473C2×C4×D71—22no—
474C2×C4×D71—22no—
475C2×C4×D71—22no—
476C2×C4×D71—22no—
477C2×C4×D71—22no—
478C2×C4×D71—22no—
479C2×C4×D71—22no—
480C2×C4×D71C2×D414yes—
481C2×C4×D71C2×D414yes—
482C2×C4×D71C2×D414yes—
483C2×C4×D71#4114yes—
484C2×C4×D71#4114yes—
485C2×C4×D71#4114yes—
486C4⋊Dic71—22no—
487C4⋊Dic71—22no—
488C4⋊Dic71—22no—
489C4⋊Dic71—22no—
490C4⋊Dic71—22no—
491Dic71⋊C4—22no—
492Dic71⋊C4—22no—
493Dic71⋊C4—22no—
494Dic71⋊C4—22no—
495Dic71⋊C4—22no—
496Dic71⋊C4—22no—
497Dic71⋊C4—22no—
498Dic71⋊C4—22no—
499Dic71⋊C4—22no—
500Dic71⋊C4—22no—
501Dic71⋊C4—22no—
502Dic71⋊C4—22no—
503Dic71⋊C4—22no—
504Dic71⋊C4—22no—
505Dic71⋊C4—22no—
506Dic71⋊C4—22no—
507C22⋊Dic71—22no—
508C22⋊Dic71—22no—
509C22⋊Dic71—22no—
510C22⋊Dic71—22no—
511C22⋊Dic71—22no—
512C22⋊Dic71—22no—
513C22⋊Dic71—22no—
514C22⋊Dic71—22no—
515(C2×D71)⋊C4—22no—
516(C2×D71)⋊C4—22no—
517(C2×D71)⋊C4—22no—
518(C2×D71)⋊C4—22no—
519(C2×D71)⋊C4—22no—
520(C2×D71)⋊C4—22no—
521(C2×D71)⋊C4—22no—
522(C2×D71)⋊C4—22no—
523(C2×D71)⋊C4—22no—
524(C2×D71)⋊C4—22no—
525(C2×D71)⋊C4—22no—
526(C2×D71)⋊C4—22no—
527(C2×D71)⋊C4—22no—
528(C2×D71)⋊C4—22no—
529(C2×D71)⋊C4—22no—
530(C2×D71)⋊C4—22no—
531(C2×D71)⋊C4—22no—
532(C2×D71)⋊C4—22no—
533(C2×D71)⋊C4—22no—
534(C2×D71)⋊C4—22no—
535(C2×D71)⋊C4—22no—
536(C2×D71)⋊C4—22no—
537C4×Dic71—22no—
538C4×Dic71—22no—
539C4×Dic71—22no—
540C4×Dic71—22no—
541C4×Dic71—22no—
542C4×Dic71—22no—
543C4×Dic71—22no—
544C4×Dic71—22no—
545C4×Dic71—22no—
546C4×Dic71—22no—
547C4×Dic71—22no—
548C4×Dic71—22no—
549C4×Dic71C2×D414yes—
550C4×Dic71C2×D414yes—
551C4×Dic71C2×D414yes—
552C24×C71C2411yescharacteristic
553C24×C71C2411yescharacteristic
554C2×D4×C71—22no—
555C2×D4×C71—22no—
556C2×D4×C71—22no—
557C22×C4×C71—22no—
558C22×C4×C71—22no—
559C22×C4×C71—22no—
560C22×C4×C71—22no—
561C22×C4×C71—22no—
562C22×C4×C71—22no—
563C22×C4×C71—22no—
564C22×C4×C71—22no—
565C22×C4×C71—22no—
566C22×C4×C71—22no—
567C22×C4×C71—22no—
568C22×C4×C71#4114yes—
569C22×C4×C71C2411yescharacteristic
570C22×C4×C71C2411yescharacteristic
571C22×C4×C71C2411yescharacteristic
572C22×C4×C71C2411yescharacteristic
573C22×C4×C71C2411yescharacteristic
574C22×C4×C71C2411yescharacteristic
575C22×C4×C71C2411yescharacteristic
576C22×C4×C71C2411yescharacteristic
577C22×C4×C71C2411yescharacteristic
578C22×C4×C71C2411yescharacteristic
579C22×C4×C71C2411yescharacteristic
580C22×C4×C71C2411yescharacteristic
581C22×C4×C71C2411yescharacteristic
582C4⋊C4×C71—22no—
583C4⋊C4×C71—22no—
584C4⋊C4×C71—22no—
585C4⋊C4×C71—22no—
586C4⋊C4×C71—22no—
587C22⋊C4×C71—22no—
588C22⋊C4×C71—22no—
589C22⋊C4×C71—22no—
590C22⋊C4×C71—22no—
591C22⋊C4×C71—22no—
592C22⋊C4×C71—22no—
593C22⋊C4×C71—22no—
594C22⋊C4×C71—22no—
595C42×C71—22no—
596C42×C71—22no—
597C42×C71—22no—
598C42×C71—22no—
599C42×C71—22no—
600C42×C71—22no—
601C42×C71C2×D414yes—
602C23×C71—21no—
603C23×C71—21no—
604C23×C71—21no—
605C23×C71—21no—
606C23×C71—21no—
607C23×C71—21no—
608C23×C71—21no—
609C23×C71—21no—
610C23×C71—21no—
611C23×C71—21no—
612C23×C71—21no—
613C23×C71C2×#4112yes—
614C23×C71C2×#4112yes—
615C23×C71C2×#4112yes—
616C23×C71C2511yescharacteristic
617C22×D71—28no—
618C22×D71—28no—
619C22×D71—28no—
620C22×D71—28no—
621C22×D71—28no—
622C22×D71—21no—
623C22×D71—21no—
624C22×D71—21no—
625C22×D71—21no—
626C22×D71—21no—
627C22×D71—21no—
628C22×D71—21no—
629C22×D71—21no—
630C22×D71—28no—
631C22×D71—28no—
632C22×D71—21no—
633C22×D71—21no—
634C22×D71—21no—
635C22×D71—21no—
636C22×D71—21no—
637C22×D71—21no—
638C22×D71—21no—
639C22×D71C22×D412yes—
640C22×D71C2×#4112yes—
641C22×D71C2×#4112yes—
642C22×D71C2×#4112yes—
643C22×D71C2×#4112yes—
644C22×D71C2×#4112yes—
645D4×C71—44no—
646C2×C4×C71—28no—
647C2×C4×C71—28no—
648C2×C4×C71—21no—
649C2×C4×C71—21no—
650C2×C4×C71—21no—
651C2×C4×C71—21no—
652C2×C4×C71—21no—
653C2×C4×C71—21no—
654C2×C4×C71—21no—
655C2×C4×C71—21no—
656C2×C4×C71—21no—
657C2×C4×C71—21no—
658C2×C4×C71—28no—
659C2×C4×C71—21no—
660C2×C4×C71—21no—
661C2×C4×C71—21no—
662C2×C4×C71—21no—
663C2×C4×C71—21no—
664C2×C4×C71—21no—
665C2×C4×C71—21no—
666C2×C4×C71—21no—
667C2×C4×C71—21no—
668C2×C4×C71—21no—
669C2×C4×C71—21no—
670C2×C4×C71—21no—
671C2×C4×C71—21no—
672C2×C4×C71—21no—
673C2×C4×C71—21no—
674C2×C4×C71—21no—
675C2×C4×C71—21no—
676C2×C4×C71—21no—
677C2×C4×C71—21no—
678C2×C4×C71—21no—
679C2×C4×C71—21no—
680C2×C4×C71—44no—
681C2×C4×C71C22×D412yes—
682C2×C4×C71C22×D412yes—
683C2×C4×C71C22×D412yes—
684C2×C4×C71C2×#4112yes—
685C2×C4×C71C2×#4112yes—
686C2×C4×C71C2×#4112yes—
687C2×C4×C71C2×#4112yes—
688C2×C4×C71C2×#4112yes—
689C22⋊D71—44no—
690C22⋊D71—44no—
691C22⋊D71—44no—
692C22⋊D71—44no—
693C2×Dic71—28no—
694C2×Dic71—28no—
695C2×Dic71—21no—
696C2×Dic71—21no—
697C2×Dic71—21no—
698C2×Dic71—21no—
699C2×Dic71—21no—
700C2×Dic71—21no—
701C2×Dic71—21no—
702C2×Dic71—21no—
703C2×Dic71—21no—
704C2×Dic71—21no—
705C2×Dic71—28no—
706C2×Dic71—21no—
707C2×Dic71—21no—
708C2×Dic71—21no—
709C2×Dic71—21no—
710C2×Dic71—21no—
711C2×Dic71—21no—
712C2×Dic71—21no—
713C2×Dic71—21no—
714C2×Dic71—21no—
715C2×Dic71—21no—
716C2×Dic71—21no—
717C2×Dic71—21no—
718C2×Dic71—21no—
719C2×Dic71—21no—
720C2×Dic71—21no—
721C2×Dic71—21no—
722C2×Dic71—21no—
723C2×Dic71—21no—
724C2×Dic71—21no—
725C2×Dic71—21no—
726C2×Dic71—21no—
727C2×Dic71C22×D412yes—
728C2×Dic71C22×D412yes—
729C2×Dic71C22×D412yes—
730C2×Dic71C2×#4112yes—
731C2×Dic71C2×#4112yes—
732C2×Dic71C2×#4112yes—
733C2×Dic71C2×#4112yes—
734C2×Dic71C2×#4112yes—
735D284—44no—
736D284—44no—
737C4×D71—28no—
738C4×D71—28no—
739C4×D71—28no—
740C4×D71—28no—
741C4×D71—28no—
742C4×D71—28no—
743C4×D71—28no—
744C4×D71—28no—
745C4×D71—28no—
746C4×D71—28no—
747C4×D71—28no—
748C4×D71—28no—
749C4×D71—44no—
750Dic142—44no—
751C22×C71—22no—
752C22×C71—22no—
753C22×C71—22no—
754C22×C71—22no—
755C22×C71—22no—
756C22×C71—22no—
757C22×C71—41no—
758C22×C71—41no—
759C22×C71—41no—
760C22×C71—41no—
761C22×C71—41no—
762C22×C71—41no—
763C22×C71—41no—
764C22×C71#52914yescomplemented
765C22×C71C23×D411yescharacteristic
766C22×C71C22×#4111yescharacteristic
767C22×C71C22×#4111yescharacteristic
768C22×C71C22×#4111yescharacteristic
769C22×C71C22×#4111yescharacteristic
770C22×C71C22×#4111yescharacteristic
771C22×C71C22×#4111yescharacteristic
772C2×D71—232no—
773C2×D71—22no—
774C2×D71—22no—
775C2×D71—22no—
776C2×D71—22no—
777C2×D71—22no—
778C2×D71—22no—
779C2×D71—22no—
780C2×D71—22no—
781C2×D71—22no—
782C2×D71—22no—
783C2×D71—22no—
784C2×D71—22no—
785C2×D71—41no—
786C2×D71—41no—
787C2×D71—41no—
788C2×D71—41no—
789C2×D71—41no—
790C2×D71—41no—
791C2×D71—41no—
792C2×D71#52514yes—
793C2×D71#52914yescomplemented
794C4×C71—22no—
795C4×C71—22no—
796C4×C71—22no—
797C4×C71—22no—
798C4×C71—22no—
799C4×C71—41no—
800C4×C71—41no—
801C4×C71—41no—
802C4×C71—41no—
803C4×C71—41no—
804C4×C71—41no—
805C4×C71—41no—
806C4×C71#52514yes—
807Dic71—22no—
808Dic71—22no—
809Dic71—22no—
810Dic71—22no—
811Dic71—22no—
812Dic71—41no—
813Dic71—41no—
814Dic71—41no—
815Dic71—41no—
816Dic71—41no—
817Dic71—41no—
818Dic71—41no—
819Dic71#52514yes—
820#36621—711nomaximal, Sylow
821C2×C71—24no—
822C2×C71—81no—
823C2×C71C2×#52511yescharacteristic
824C2×C71C2×#52511yescharacteristic
825C2×C71C2×#52511yescharacteristic
826C2×C71C2×#52911yescharacteristic
827C2×C71C2×#52911yescharacteristic
828C2×C71#344411yescharacteristic
829C2×C71#344411yescharacteristic
830D71—24no—
831D71—24no—
832D71—81no—
833C2×#529—711no—
834C23×C42—711no—
835#2855—711no—
836#2854—711no—
837#2853—711no—
838#2853—711no—
839#2852—711no—
840#2852—711no—
841#2852—711no—
842#2852—711no—
843#2851—711no—
844#2851—711no—
845#2850—711no—
846#2850—711no—
847#2849—711no—
848#2849—711no—
849#2848—711no—
850#2847—711no—
851C4×C22⋊Q8—711no—
852C4×C22⋊Q8—711no—
853C4×#123—711no—
854C4×#123—711no—
855C4×#121—711no—
856C4×#121—711no—
857C4×#120—711no—
858C4×#120—711no—
859#2290—711no—
860#2290—711no—
861#2290—711no—
862#2290D7111yescharacteristic, complemented
863#2283—711no—
864C71#3662111yescharacteristic, complemented, Sylow
865C24×C4—711no—
866C24×C4—711no—
867C24×C4—711no—
868#529—1428no—
869C2×#126—711no—
870C2×#126—711no—
871C2×#125—711no—
872C2×#124—711no—
873C2×#123—711no—
874C2×#123—711no—
875C2×#123—711no—
876C2×#123—711no—
877C2×C22⋊Q8—711no—
878C2×C22⋊Q8—711no—
879C2×C22⋊Q8—711no—
880C2×#121—711no—
881C2×#121—711no—
882C2×#121—711no—
883C2×#120—711no—
884C2×#120—711no—
885C2×C4×Q8—711no—
886C2×C4×D4—711no—
887C2×C4×D4—711no—
888C2×C4×D4—711no—
889C2×C4×D4—711no—
890C2×C4×D4—711no—
891C2×C4×D4—711no—
892C2×C4×D4C2×D7111yescharacteristic
893C2×#117—711no—
894C2×#117C2×D7111yescharacteristic, complemented
895C22×C42—711no—
896C22×C42—711no—
897C22×C42—711no—
898C22×C42—711no—
899C22×C42—711no—
900C22×C42—711no—
901C22×C42—711no—
902C22×C42—711no—
903C22×C42—711no—
904C22×C42—711no—
905C22×C42—711no—
906C22×C42—1428no—
907C22×C42C2×D7111yescharacteristic
908#391—711no—
909#391—711no—
910#390—711no—
911#390—711no—
912#389—711no—
913#389—711no—
914#389—711no—
915#389—711no—
916#388—711no—
917#388—711no—
918#388—711no—
919#388—711no—
920#388—711no—
921#388—711no—
922#388—711no—
923#388—711no—
924#388—711no—
925#388—711no—
926#388—711no—
927#388—711no—
928#388—711no—
929#388—711no—
930#388C2×D7111yescharacteristic, complemented
931#388C2×D7111yescharacteristic, complemented
932#387—711no—
933#387—711no—
934#387—711no—
935#387—711no—
936#387—711no—
937#387—711no—
938#387—711no—
939#387—711no—
940#387—711no—
941#387—711no—
942#387—711no—
943#387—711no—
944#387—711no—
945#387—711no—
946#387C2×D7111yescharacteristic, complemented
947#387C2×D7111yescharacteristic, complemented
948#386—711no—
949#386—711no—
950#386—711no—
951#386—711no—
952#386—711no—
953#386—711no—
954#386—711no—
955#386—711no—
956#386—711no—
957#386—711no—
958#386—711no—
959#386—711no—
960#386—711no—
961#386—711no—
962#386—711no—
963#386—711no—
964#386—711no—
965#386—711no—
966#386C2×D7111yescharacteristic
967#386C2×D7111yescharacteristic
968#385—711no—
969#385—711no—
970#385—711no—
971#385—711no—
972#385—711no—
973#385—711no—
974#385—711no—
975#385—711no—
976#385—711no—
977#385—711no—
978#385—711no—
979#385—711no—
980#385—711no—
981#385—711no—
982#385—711no—
983#385—711no—
984#385—711no—
985#385—711no—
986#385C2×D7111yescharacteristic
987#385C2×D7111yescharacteristic
988#383—711no—
989#383—711no—
990#382—711no—
991#382—711no—
992#381—711no—
993#381—711no—
994#381—711no—
995#381—711no—
996#380—711no—
997#380—711no—
998#380—711no—
999#380—711no—
1000#380—711no—
1001#380—711no—
1002#379—711no—
1003#379—711no—
1004C4×C4⋊C4—711no—
1005C4×C4⋊C4—711no—
1006C4×C4⋊C4—711no—
1007C4×C4⋊C4—711no—
1008C4×C4⋊C4—711no—
1009C4×C4⋊C4C2×D7111yescharacteristic, complemented
1010C4×C22⋊C4—711no—
1011C4×C22⋊C4—711no—
1012C4×C22⋊C4—711no—
1013C4×C22⋊C4—711no—
1014C4×C22⋊C4—711no—
1015C4×C22⋊C4—711no—
1016C4×C22⋊C4—711no—
1017C4×C22⋊C4—711no—
1018C4×C22⋊C4C2×D7111yescharacteristic
1019C4×C22⋊C4C2×D7111yescharacteristic, complemented
1020#376—711no—
1021#376C2×D7111yescharacteristic, complemented
1022C25—711no—
1023C22×Q8—711no—
1024C22×D4—711no—
1025C22×D4—711no—
1026C22×D4—711no—
1027C22×D4—711no—
1028C22×D4—711no—
1029C22×D4—711no—
1030C22×D4C22×D7111yescharacteristic
1031C23×C4—711no—
1032C23×C4—711no—
1033C23×C4—711no—
1034C23×C4—711no—
1035C23×C4—711no—
1036C23×C4—711no—
1037C23×C4—711no—
1038C23×C4—711no—
1039C23×C4—711no—
1040C23×C4—711no—
1041C23×C4—711no—
1042C23×C4—711no—
1043C23×C4—711no—
1044C23×C4—711no—
1045C23×C4—711no—
1046C23×C4—711no—
1047C23×C4—1424no—
1048C23×C4—1424no—
1049C23×C4—1424no—
1050C23×C4—1424no—
1051C23×C4—1424no—
1052C23×C4—1424no—
1053C23×C4—1424no—
1054C23×C4—1424no—
1055C23×C4—1424no—
1056C23×C4C22×D7111yescharacteristic
1057C23×C4C22×D7111yescharacteristic
1058C23×C4C22×D7111yescharacteristic
1059C23×C4C22×D7111yescharacteristic
1060#126—1424no—
1061#126—1424no—
1062#125—1424no—
1063#124—1424no—
1064#123—1424no—
1065#123—1424no—
1066#123—1424no—
1067#123—1424no—
1068C22⋊Q8—1424no—
1069C22⋊Q8—1424no—
1070C22⋊Q8—1424no—
1071#121—1424no—
1072#121—1424no—
1073#121—1424no—
1074#120—1424no—
1075#120—1424no—
1076C4×Q8—1424no—
1077C4×D4—24no—
1078C4×D4—1424no—
1079C4×D4—1424no—
1080C4×D4—1424no—
1081C4×D4—1424no—
1082C4×D4—1424no—
1083C4×D4—1424no—
1084#117—24no—
1085#117—1424no—
1086C2×C4⋊C4—711no—
1087C2×C4⋊C4—711no—
1088C2×C4⋊C4—711no—
1089C2×C4⋊C4—711no—
1090C2×C4⋊C4—711no—
1091C2×C4⋊C4—711no—
1092C2×C4⋊C4—711no—
1093C2×C4⋊C4—711no—
1094C2×C4⋊C4—711no—
1095C2×C4⋊C4—711no—
1096C2×C4⋊C4—711no—
1097C2×C4⋊C4—711no—
1098C2×C4⋊C4—711no—
1099C2×C4⋊C4—711no—
1100C2×C4⋊C4—711no—
1101C2×C4⋊C4—711no—
1102C2×C4⋊C4—711no—
1103C2×C4⋊C4—711no—
1104C2×C4⋊C4—711no—
1105C2×C4⋊C4—711no—
1106C2×C4⋊C4—711no—
1107C2×C4⋊C4C22×D7111yescharacteristic
1108C2×C4⋊C4C22×D7111yescharacteristic
1109C2×C4⋊C4C22×D7111yescharacteristic
1110C2×C4⋊C4C22×D7111yescharacteristic
1111C2×C4⋊C4C22×D7111yescharacteristic
1112C2×C22⋊C4—711no—
1113C2×C22⋊C4—711no—
1114C2×C22⋊C4—711no—
1115C2×C22⋊C4—711no—
1116C2×C22⋊C4—711no—
1117C2×C22⋊C4—711no—
1118C2×C22⋊C4—711no—
1119C2×C22⋊C4—711no—
1120C2×C22⋊C4—711no—
1121C2×C22⋊C4—711no—
1122C2×C22⋊C4—711no—
1123C2×C22⋊C4—711no—
1124C2×C22⋊C4—711no—
1125C2×C22⋊C4—711no—
1126C2×C22⋊C4—711no—
1127C2×C22⋊C4—711no—
1128C2×C22⋊C4—711no—
1129C2×C22⋊C4—711no—
1130C2×C22⋊C4—711no—
1131C2×C22⋊C4—711no—
1132C2×C22⋊C4—711no—
1133C2×C22⋊C4—711no—
1134C2×C22⋊C4—711no—
1135C2×C22⋊C4—711no—
1136C2×C22⋊C4—711no—
1137C2×C22⋊C4—711no—
1138C2×C22⋊C4—711no—
1139C2×C22⋊C4—711no—
1140C2×C22⋊C4—711no—
1141C2×C22⋊C4—711no—
1142C2×C22⋊C4C22×D7111yescharacteristic
1143C2×C22⋊C4C22×D7111yescharacteristic
1144C2×C22⋊C4C22×D7111yescharacteristic
1145C2×C22⋊C4C22×D7111yescharacteristic
1146C2×C22⋊C4C22×D7111yescharacteristic
1147C2×C22⋊C4C22×D7111yescharacteristic
1148C2×C22⋊C4C22×D7111yescharacteristic
1149C2×C22⋊C4C22×D7111yescharacteristic
1150C2×C42—24no—
1151C2×C42—711no—
1152C2×C42—711no—
1153C2×C42—711no—
1154C2×C42—718no—
1155C2×C42—711no—
1156C2×C42—711no—
1157C2×C42—711no—
1158C2×C42—711no—
1159C2×C42—711no—
1160C2×C42—711no—
1161C2×C42—711no—
1162C2×C42—711no—
1163C2×C42—711no—
1164C2×C42—711no—
1165C2×C42—711no—
1166C2×C42—711no—
1167C2×C42—1424no—
1168C2×C42—1424no—
1169C2×C42—1424no—
1170C2×C42—1424no—
1171C2×C42—1424no—
1172C2×C42—1424no—
1173C2×C42—1424no—
1174C2×C42—1424no—
1175C2×C42—1424no—
1176C2×C42—1424no—
1177C2×C42C22×D7111yescharacteristic
1178C2×C42C22×D7111yescharacteristic
1179C2×C42C22×D7111yescharacteristic
1180C2×C42C22×D7111yescharacteristic
1181C2×C42C22×D7111yescharacteristic
1182C2×C42C22×D7111yescharacteristic
1183C2×C42C22×D7111yescharacteristic
1184#95—711no—
1185#95—711no—
1186#95—711no—
1187#95—711no—
1188#95—711no—
1189#95—711no—
1190#95—711no—
1191#95—711no—
1192#95—711no—
1193#95—711no—
1194#95—711no—
1195#95—711no—
1196#95—711no—
1197#95—711no—
1198#95—711no—
1199#95—711no—
1200#95—711no—
1201#95—711no—
1202#95—711no—
1203#95—711no—
1204#95—711no—
1205#95—711no—
1206#95—711no—
1207#95—711no—
1208#95—711no—
1209#95—711no—
1210#95—711no—
1211#95—711no—
1212#95—711no—
1213#95—711no—
1214#95C22×D7111yescharacteristic
1215#95C22×D7111yescharacteristic
1216#95C22×D7111yescharacteristic
1217#95C22×D7111yescharacteristic
1218#95C22×D7111yescharacteristic
1219#95C22×D7111yescharacteristic
1220#95C22×D7111yescharacteristic
1221#95C22×D7111yescharacteristic
1222#95C22×D7111yescharacteristic
1223#95C22×D7111yescharacteristic
1224C24—711no—
1225C24—711no—
1226C24—714no—
1227C24—711no—
1228C24—1422no—
1229C24—1422no—
1230C24—1422no—
1231C24—1422no—
1232C24—1422no—
1233C24—1422no—
1234C24C23×D7111yescharacteristic
1235C24C23×D7111yescharacteristic
1236C2×Q8—1422no—
1237C2×Q8—1422no—
1238C2×Q8—1422no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—1422no—
1243C2×D4—1422no—
1244C2×D4—1422no—
1245C2×D4—1422no—
1246C2×D4—1422no—
1247C2×D4—1422no—
1248C2×D4—1422no—
1249C2×D4—1422no—
1250C2×D4—1422no—
1251C2×D4—1422no—
1252C2×D4—1422no—
1253C2×D4—1422no—
1254C2×D4—1422no—
1255C2×D4—1422no—
1256C2×D4—1422no—
1257C2×D4—1422no—
1258C2×D4—1422no—
1259C2×D4—1422no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—711no—
1272C22×C4—714no—
1273C22×C4—711no—
1274C22×C4—711no—
1275C22×C4—711no—
1276C22×C4—711no—
1277C22×C4—711no—
1278C22×C4—714no—
1279C22×C4—714no—
1280C22×C4—714no—
1281C22×C4—714no—
1282C22×C4—714no—
1283C22×C4—714no—
1284C22×C4—711no—
1285C22×C4—711no—
1286C22×C4—711no—
1287C22×C4—711no—
1288C22×C4—711no—
1289C22×C4—711no—
1290C22×C4—711no—
1291C22×C4—1422no—
1292C22×C4—1422no—
1293C22×C4—1422no—
1294C22×C4—1422no—
1295C22×C4—1422no—
1296C22×C4—1422no—
1297C22×C4—1422no—
1298C22×C4—1422no—
1299C22×C4—1422no—
1300C22×C4—1422no—
1301C22×C4—1422no—
1302C22×C4—1422no—
1303C22×C4—1422no—
1304C22×C4—1422no—
1305C22×C4—1422no—
1306C22×C4—1422no—
1307C22×C4—1422no—
1308C22×C4—1422no—
1309C22×C4—1422no—
1310C22×C4—1422no—
1311C22×C4—14232no—
1312C22×C4—14232no—
1313C22×C4—14232no—
1314C22×C4—1422no—
1315C22×C4—1422no—
1316C22×C4—1422no—
1317C22×C4—1422no—
1318C22×C4—1422no—
1319C22×C4—1422no—
1320C22×C4—1422no—
1321C22×C4—1422no—
1322C22×C4—1422no—
1323C22×C4—1422no—
1324C22×C4—1422no—
1325C22×C4—1422no—
1326C22×C4—1422no—
1327C22×C4—1422no—
1328C22×C4—1422no—
1329C22×C4—1422no—
1330C22×C4—1422no—
1331C22×C4—1422no—
1332C22×C4—1422no—
1333C22×C4—1422no—
1334C22×C4—1422no—
1335C22×C4#1176586514yes—
1336C22×C4C23×D7111yescharacteristic
1337C22×C4C23×D7111yescharacteristic
1338C22×C4C23×D7111yescharacteristic
1339C22×C4C23×D7111yescharacteristic
1340C22×C4C23×D7111yescharacteristic
1341C22×C4C23×D7111yescharacteristic
1342C22×C4C23×D7111yescharacteristic
1343C22×C4C23×D7111yescharacteristic
1344C22×C4C23×D7111yescharacteristic
1345C22×C4C23×D7111yescharacteristic
1346C22×C4C23×D7111yescharacteristic
1347C22×C4C23×D7111yescharacteristic
1348C22×C4C23×D7111yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—1422no—
1355C4⋊C4—1422no—
1356C4⋊C4—1422no—
1357C4⋊C4—1422no—
1358C4⋊C4—1422no—
1359C4⋊C4—1422no—
1360C4⋊C4—1422no—
1361C4⋊C4—1422no—
1362C4⋊C4—1422no—
1363C4⋊C4—1422no—
1364C4⋊C4—1422no—
1365C4⋊C4—1422no—
1366C4⋊C4—1422no—
1367C4⋊C4—1422no—
1368C4⋊C4—1422no—
1369C4⋊C4—1422no—
1370C4⋊C4—1422no—
1371C4⋊C4—1422no—
1372C4⋊C4—1422no—
1373C4⋊C4—1422no—
1374C4⋊C4—1422no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—1422no—
1384C22⋊C4—1422no—
1385C22⋊C4—1422no—
1386C22⋊C4—1422no—
1387C22⋊C4—1422no—
1388C22⋊C4—1422no—
1389C22⋊C4—1422no—
1390C22⋊C4—1422no—
1391C22⋊C4—1422no—
1392C22⋊C4—1422no—
1393C22⋊C4—1422no—
1394C22⋊C4—1422no—
1395C22⋊C4—1422no—
1396C22⋊C4—1422no—
1397C22⋊C4—1422no—
1398C22⋊C4—1422no—
1399C22⋊C4—1422no—
1400C22⋊C4—1422no—
1401C22⋊C4—1422no—
1402C22⋊C4—1422no—
1403C22⋊C4—1422no—
1404C22⋊C4—1422no—
1405C22⋊C4—1422no—
1406C22⋊C4—1422no—
1407C22⋊C4—1422no—
1408C22⋊C4—1422no—
1409C22⋊C4—1422no—
1410C22⋊C4—1422no—
1411C22⋊C4—1422no—
1412C22⋊C4—1422no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—714no—
1420C42—714no—
1421C42—714no—
1422C42—1422no—
1423C42—1422no—
1424C42—1422no—
1425C42—1422no—
1426C42—1422no—
1427C42—1422no—
1428C42—1422no—
1429C42—1422no—
1430C42—1422no—
1431C42—1422no—
1432C42—1422no—
1433C42—1422no—
1434C42D4×D7114yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—712no—
1447C23—712no—
1448C23—712no—
1449C23—712no—
1450C23—712no—
1451C23—712no—
1452C23—1428no—
1453C23—1428no—
1454C23—1428no—
1455C23—1428no—
1456C23—1428no—
1457C23—1428no—
1458C23—1421no—
1459C23—1421no—
1460C23—1421no—
1461C23—1421no—
1462C23—1421no—
1463C23—1421no—
1464C23—1421no—
1465C23—1421no—
1466C23—1421no—
1467C23—1421no—
1468C23—1421no—
1469C23—1421no—
1470C23—1421no—
1471C23—1421no—
1472C23—1421no—
1473C23—1428no—
1474C23#41×D7112yes—
1475C23#41×D7112yes—
1476C23C2×#1176586512yes—
1477C23C24×D7111yescharacteristic
1478Q8—2844no—
1479D4—44no—
1480D4—2844no—
1481D4—2844no—
1482D4—2844no—
1483D4—2844no—
1484D4—2844no—
1485D4—2844no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—28no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—44no—
1521C2×C4—2844no—
1522C2×C4—712no—
1523C2×C4—712no—
1524C2×C4—712no—
1525C2×C4—712no—
1526C2×C4—712no—
1527C2×C4—712no—
1528C2×C4—712no—
1529C2×C4—712no—
1530C2×C4—1428no—
1531C2×C4—1428no—
1532C2×C4—1428no—
1533C2×C4—1428no—
1534C2×C4—1428no—
1535C2×C4—1428no—
1536C2×C4—1428no—
1537C2×C4—1428no—
1538C2×C4—1428no—
1539C2×C4—1428no—
1540C2×C4—1421no—
1541C2×C4—1421no—
1542C2×C4—1421no—
1543C2×C4—1421no—
1544C2×C4—1421no—
1545C2×C4—1421no—
1546C2×C4—1421no—
1547C2×C4—1421no—
1548C2×C4—1421no—
1549C2×C4—1421no—
1550C2×C4—1421no—
1551C2×C4—1421no—
1552C2×C4—1421no—
1553C2×C4—1421no—
1554C2×C4—1421no—
1555C2×C4—1421no—
1556C2×C4—1421no—
1557C2×C4—1421no—
1558C2×C4—1421no—
1559C2×C4—1421no—
1560C2×C4—1421no—
1561C2×C4—1428no—
1562C2×C4—1428no—
1563C2×C4—1428no—
1564C2×C4—1421no—
1565C2×C4—1421no—
1566C2×C4—1421no—
1567C2×C4—1421no—
1568C2×C4—1421no—
1569C2×C4—1421no—
1570C2×C4—1421no—
1571C2×C4—1421no—
1572C2×C4—1421no—
1573C2×C4—1421no—
1574C2×C4—1428no—
1575C2×C4—1428no—
1576C2×C4C2×D4×D7112yes—
1577C2×C4C2×D4×D7112yes—
1578C2×C4C2×D4×D7112yes—
1579C2×C4#41×D7112yes—
1580C2×C4#41×D7112yes—
1581C2×C4#41×D7112yes—
1582C2×C4C2×#1176586512yes—
1583C2×C4C2×#1176586512yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—2841no—
1598C22—2841no—
1599C22—2841no—
1600C22—2841no—
1601C22—2841no—
1602C22—2841no—
1603C22—2841no—
1604C22—714no—
1605C22—714no—
1606C22—14232no—
1607C22—1422no—
1608C22—1422no—
1609C22—1422no—
1610C22—1422no—
1611C22—1422no—
1612C22—1422no—
1613C22—1422no—
1614C22—1422no—
1615C22—1422no—
1616C22—1422no—
1617C22—1422no—
1618C22—1422no—
1619C22#1798652714yescomplemented
1620C22C22×D4×D7111yescharacteristic
1621C22C2×#41×D7111yescharacteristic
1622C22C2×#41×D7111yescharacteristic
1623C22C2×#41×D7111yescharacteristic
1624C22C2×#41×D7111yescharacteristic
1625C22C2×#41×D7111yescharacteristic
1626C22C22×#1176586511yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—2841no—
1640C4—2841no—
1641C4—2841no—
1642C4—2841no—
1643C4—2841no—
1644C4—2841no—
1645C4—2841no—
1646C4—714no—
1647C4—1422no—
1648C4—1422no—
1649C4—1422no—
1650C4—1422no—
1651C4—1422no—
1652C4#1798650814yes—
1653C2—24no—
1654C2—81no—
1655C2—5681no—
1656C2—1424no—
1657C2—1424no—
1658C2#525×D7111yescharacteristic
1659C2#525×D7111yescharacteristic
1660C2C2×#1798650811yescharacteristic
1661C2#529×D7111yescharacteristic
1662C2C2×#1798652711yescharacteristic
1663C2#2260163311yescharacteristic
1664C2#2260163411yescharacteristic
subgroupG/H
centerC22×C4C23×D71
commutator, socle, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC71×#2290C2
prime radical#22596621C2
hypercenter#2290D71
hypocenterC71#36621
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#17986527C2semidirect
2. C22×C42×D71C2semidirect
3. #22596675C2semidirect
4. #22596667C2semidirect
5. #22596664C2semidirect
6. #22596660C2semidirect
7. #22596658C2semidirect
8. #22596657C2semidirect
9. #22596654C2semidirect
10. #22596653C2semidirect
11. #22596647C2semidirect
12. #22596646C2semidirect
13. #22596638C2semidirect
14. #22596637C2semidirect
15. #22596635C2semidirect
16. #22596631C2semidirect
17. #22596626C2semidirect
19. C4×#14556106C2semidirect
20. C4×#14556105C2semidirect
21. C4×#14556113C2semidirect
22. C4×#14556110C2semidirect
23. C4×#14556101C2semidirect
24. C4×#14556100C2semidirect
25. C4×#14556098C2semidirect
26. C4×#14556096C2semidirect
27. #22590784C2semidirect
28. #22590783C2semidirect
29. #22590777C2semidirect
30. #22590732C2semidirect
31. C71×#2290C2semidirect
36. C2×#14556123C22semidirect
37. C2×#14556121C22semidirect
38. C2×#14556118C22semidirect
39. C2×#14556114C22semidirect
52. C2×C4×Dic142C22semidirect
58. C2×C4×C22⋊D71C22semidirect
59. C2×#14556085C22semidirect
72. #17985903C22semidirect
73. #17985903C22semidirect
74. #17985899C22semidirect
75. #17985899C22semidirect
76. #17985896C22semidirect
77. #17985896C22semidirect
78. #17985894C22semidirect
79. #17985894C22semidirect
80. #17985893C22semidirect
81. #17985893C22semidirect
82. #17985892C22semidirect
83. #17985892C22semidirect
84. #17985891C22semidirect
85. #17985891C22semidirect
86. #17985890C22semidirect
87. #17985890C22semidirect
88. #17985889C22semidirect
89. #17985889C22semidirect
90. #17985888C22semidirect
91. #17985888C22semidirect
92. #17985887C22semidirect
93. #17985887C22semidirect
94. #17985886C22semidirect
95. #17985886C22semidirect
96. #17985885C22semidirect
97. #17985885C22semidirect
98. #17985884C22semidirect
99. #17985884C22semidirect
100. #17985883C22semidirect
101. #17985883C22semidirect
102. #17985882C22semidirect
103. #17985882C22semidirect
104. #17985881C22semidirect
105. #17985881C22semidirect
106. #17985880C22semidirect
107. #17985880C22semidirect
144. #17985866C22semidirect
145. #17985866C22semidirect
146. #17985863C22semidirect
147. #17985863C22semidirect
160. C4×Dic71⋊C4C22semidirect
161. C4×Dic71⋊C4C22semidirect
162. C4×Dic71⋊C4C22semidirect
163. C4×Dic71⋊C4C22semidirect
164. C4×C4⋊Dic71C22semidirect
169. C4×(C2×D71)⋊C4C22semidirect
170. C4×(C2×D71)⋊C4C22semidirect
172. C4×C22⋊Dic71C22semidirect
173. #17985845C22semidirect
175. C2×#117×C71C22semidirect
177. #388×C71C22semidirect
178. #388×C71C22semidirect
179. #387×C71C22semidirect
180. #387×C71C22semidirect
185. C4×C4⋊C4×C71C22semidirect
187. C4×C22⋊C4×C71C22semidirect
188. #376×C71C22semidirect
322. C42×D71D4semidirect
764. C22×C71#529semidirect
793. C2×D71#529semidirect
862. #2290D71semidirect
864. C71#36621semidirect
894. C2×#117C2×D71semidirect
930. #388C2×D71semidirect
931. #388C2×D71semidirect
946. #387C2×D71semidirect
947. #387C2×D71semidirect
1009. C4×C4⋊C4C2×D71semidirect
1019. C4×C22⋊C4C2×D71semidirect
1021. #376C2×D71semidirect
1619. C22#17986527semidirect

Maximal subgroups

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

subgroupindex
C2×#179865272
C22×C42×D712
#225966752
#225966672
#225966642
#225966602
#225966582
#225966572
#225966542
#225966532
#225966472
#225966462
#225966382
#225966372
#225966352
#225966312
#225966262
#225966212
C4×#145561062
C4×#145561052
C4×#145561132
C4×#145561102
C4×#145561012
C4×#145561002
C4×#145560982
C4×#145560962
#225907842
#225907832
#225907772
#225907322
C71×#22902
#3662171