Finite Group Databasebeta

← #32164989

Subgroups — #32164989

Order 18176.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986511C211yesmaximal, characteristic, complemented
2C2×#17986508C211yesmaximal, characteristic, complemented
3C2×C4×D4×D71C211yesmaximal, characteristic, complemented
4C2×C4×D4×D71C211yesmaximal, characteristic, complemented
5#22592332C211yesmaximal, characteristic, complemented
6#22592235C211yesmaximal, characteristic, complemented
7#22592225C211yesmaximal, characteristic, complemented
8#22592218C211yesmaximal, characteristic, complemented
9#22592150C211yesmaximal, characteristic, complemented
10#22592144C211yesmaximal, characteristic, complemented
11#22592076C211yesmaximal, characteristic, complemented
12#22592070C211yesmaximal, characteristic, complemented
13#22592002C211yesmaximal, characteristic, complemented
14#22591877C211yesmaximal, characteristic, complemented
15#22591871C211yesmaximal, characteristic, complemented
16#22591803C211yesmaximal, characteristic, complemented
17#22591797C211yesmaximal, characteristic, complemented
18#22591709C211yesmaximal, characteristic, complemented
19#22591709C211yesmaximal, characteristic, complemented
20#22591649C211yesmaximal, characteristic, complemented
21#22591619C211yesmaximal, characteristic, complemented
22#22591584C211yesmaximal, characteristic, complemented
23#22591555C211yesmaximal, characteristic, complemented
24C4×#14556103C211yesmaximal, characteristic, complemented
25C4×#14556101C211yesmaximal, characteristic, complemented
26C4×#14556098C211yesmaximal, characteristic, complemented
27C4×#14556098C211yesmaximal, characteristic, complemented
28C4×#14556096C211yesmaximal, characteristic, complemented
29#22590781C211yesmaximal, characteristic, complemented
30#22590777C211yesmaximal, characteristic, complemented
31C71×#2392C211yesmaximal, characteristic, complemented
32C22×#11765865C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic
36C23×C4×D71C2211yescharacteristic, complemented
37C23×C4×D71C2211yescharacteristic, complemented
38#17986511—28no—
39#17986508—28no—
40C2×#14556113C2211yescharacteristic, complemented
41C2×#14556112C2211yescharacteristic, complemented
42C2×#14556112C2211yescharacteristic, complemented
43C2×#14556110C2211yescharacteristic, complemented
44C2×#14556108C2211yescharacteristic, complemented
45C2×#14556108C2211yescharacteristic, complemented
46C2×#14556106C2211yescharacteristic, complemented
47C2×#14556105C2211yescharacteristic, complemented
48C2×#14556103C2211yescharacteristic
49C2×#14556103C2211yescharacteristic
50C2×#14556103C2211yescharacteristic, complemented
51C2×#14556101C2211yescharacteristic
52C2×#14556101C2211yescharacteristic
53C2×#14556100C2211yescharacteristic, complemented
54C2×#14556098C2211yescharacteristic
55C2×#14556098C2211yescharacteristic
56C2×#14556098C2211yescharacteristic
57C2×#14556098C2211yescharacteristic, complemented
58C2×#14556098C2211yescharacteristic, complemented
59C2×#14556096C2211yescharacteristic
60C2×#14556096C2211yescharacteristic
61C2×C4×D284C2211yescharacteristic
62C2×C4×D284C2211yescharacteristic
63C2×C4×D284C2211yescharacteristic, complemented
64C2×C4×D284C2211yescharacteristic, complemented
65C2×C4×D284C2211yescharacteristic, complemented
66C2×C4×D284C2211yescharacteristic, complemented
67C2×D4×Dic71C2211yescharacteristic, complemented
68C2×D4×Dic71C2211yescharacteristic, complemented
69C2×#14556090C2211yescharacteristic
70C2×#14556090C2211yescharacteristic
71C2×C4×C22⋊D71C2211yescharacteristic
72C2×C4×C22⋊D71C2211yescharacteristic
73C2×C4×C22⋊D71C2211yescharacteristic, complemented
74C2×C4×C22⋊D71C2211yescharacteristic, complemented
75C2×C4×C22⋊D71C2211yescharacteristic, complemented
76C2×C4×C22⋊D71C2211yescharacteristic, complemented
77C2×C4×C22⋊D71C2211yescharacteristic, complemented
78C2×(C22⋊D71)⋊C4C2211yescharacteristic
79C2×(C22⋊D71)⋊C4C2211yescharacteristic
80C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
81C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
82C4×D4×D71—28no—
83C4×D4×D71—28no—
84C2×#14556085C2211yescharacteristic, complemented
85C2×C4⋊C4×D71C2211yescharacteristic, complemented
86C2×C4⋊C4×D71C2211yescharacteristic, complemented
87C2×C22⋊C4×D71C2211yescharacteristic
88C2×C22⋊C4×D71C2211yescharacteristic
89C2×C22⋊C4×D71C2211yescharacteristic, complemented
90C2×C22⋊C4×D71C2211yescharacteristic, complemented
91C2×C42×D71C2211yescharacteristic, complemented
92C2×C42×D71C2211yescharacteristic, complemented
93#17985935C2211yescharacteristic, complemented
94#17985935C2211yescharacteristic, complemented
95#17985934C2211yescharacteristic, complemented
96#17985934C2211yescharacteristic, complemented
97#17985933C2211yescharacteristic, complemented
98#17985928C2211yescharacteristic, complemented
99#17985923C2211yescharacteristic, complemented
100#17985922C2211yescharacteristic, complemented
101#17985919C2211yescharacteristic, complemented
102#17985917C2211yescharacteristic, complemented
103#17985916C2211yescharacteristic, complemented
104#17985914C2211yescharacteristic, complemented
105#17985914C2211yescharacteristic, complemented
106#17985914C2211yescharacteristic, complemented
107#17985914C2211yescharacteristic, complemented
108#17985911C2211yescharacteristic, complemented
109#17985908C2211yescharacteristic
110#17985908C2211yescharacteristic, complemented
111#17985908C2211yescharacteristic, complemented
112#17985908C2211yescharacteristic, complemented
113#17985907C2211yescharacteristic
114#17985907C2211yescharacteristic
115#17985907C2211yescharacteristic, complemented
116#17985907C2211yescharacteristic, complemented
117#17985900C2211yescharacteristic, complemented
118#17985899C2211yescharacteristic, complemented
119#17985898C2211yescharacteristic, complemented
120#17985896C2211yescharacteristic, complemented
121#17985892C2211yescharacteristic, complemented
122#17985891C2211yescharacteristic, complemented
123#17985891C2211yescharacteristic, complemented
124#17985889C2211yescharacteristic, complemented
125#17985889C2211yescharacteristic, complemented
126#17985888C2211yescharacteristic, complemented
127#17985887C2211yescharacteristic, complemented
128#17985887C2211yescharacteristic, complemented
129#17985882C2211yescharacteristic, complemented
130#17985882C2211yescharacteristic, complemented
131#17985880C2211yescharacteristic, complemented
132#17985880C2211yescharacteristic, complemented
133#17985879C2211yescharacteristic, complemented
134#17985877C2211yescharacteristic
135#17985877C2211yescharacteristic
136#17985877C2211yescharacteristic
137#17985877C2211yescharacteristic
138#17985877C2211yescharacteristic, complemented
139#17985877C2211yescharacteristic, complemented
140#17985877C2211yescharacteristic, complemented
141#17985877C2211yescharacteristic, complemented
142#17985877C2211yescharacteristic, complemented
143#17985876C2211yescharacteristic, complemented
144#17985876C2211yescharacteristic, complemented
145#17985875C2211yescharacteristic
146#17985875C2211yescharacteristic
147#17985875C2211yescharacteristic
148#17985875C2211yescharacteristic
149#17985875C2211yescharacteristic, complemented
150#17985874C2211yescharacteristic, complemented
151#17985874C2211yescharacteristic, complemented
152#17985873C2211yescharacteristic, complemented
153#17985873C2211yescharacteristic, complemented
154#17985873C2211yescharacteristic, complemented
155#17985873C2211yescharacteristic, complemented
156#17985871C2211yescharacteristic, complemented
157#17985870C2211yescharacteristic, complemented
158#17985870C2211yescharacteristic, complemented
159#17985870C2211yescharacteristic, complemented
160#17985870C2211yescharacteristic, complemented
161#17985870C2211yescharacteristic, complemented
162#17985870C2211yescharacteristic, complemented
163#17985858C2211yescharacteristic, complemented
164#17985856C2211yescharacteristic, complemented
165#17985854C2211yescharacteristic
166#17985854C2211yescharacteristic, complemented
167#17985854C2211yescharacteristic, complemented
168C4×Dic71⋊C4C2211yescharacteristic, complemented
169C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
172C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
173C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
174C4×C22⋊Dic71C2211yescharacteristic, complemented
175#17985845C2211yescharacteristic, complemented
176C2×C4×D4×C71C2211yescharacteristic, complemented
177C2×C4×D4×C71C2211yescharacteristic, complemented
178C2×C4×D4×C71C2211yescharacteristic, complemented
179C2×#117×C71C2211yescharacteristic, complemented
180#398×C71C2211yescharacteristic, complemented
181#397×C71C2211yescharacteristic, complemented
182#396×C71C2211yescharacteristic, complemented
183#396×C71C2211yescharacteristic, complemented
184#394×C71C2211yescharacteristic, complemented
185#394×C71C2211yescharacteristic, complemented
186#394×C71C2211yescharacteristic, complemented
187#392×C71C2211yescharacteristic
188C4×C4⋊C4×C71C2211yescharacteristic, complemented
189C4×C22⋊C4×C71C2211yescharacteristic, complemented
190C4×C22⋊C4×C71C2211yescharacteristic, complemented
191C24×D71C2311yescharacteristic
192C24×D71C2311yescharacteristic
193C24×D71C2311yescharacteristic
194C2×#11765865—24no—
195C2×#11765865—24no—
196C2×#11765865—42no—
197C22×Dic142C2311yescharacteristic
198C22×D284C2311yescharacteristic
199C22×D284C2311yescharacteristic
200C22×D284C2311yescharacteristic
201C22×D284C2311yescharacteristic
202C22×D284C2311yescharacteristic
203C22×D284C2311yescharacteristic
204C22×D284C2311yescharacteristic
205C22×C22⋊D71C2311yescharacteristic
206C22×C22⋊D71C2311yescharacteristic
207C22×C22⋊D71C2311yescharacteristic
208C22×C22⋊D71C2311yescharacteristic
209C22×C22⋊D71C2311yescharacteristic
210C22×C22⋊D71C2311yescharacteristic
211C22×C22⋊D71C2311yescharacteristic
212C22×C22⋊D71C2311yescharacteristic
213C22×C22⋊D71C2311yescharacteristic
214C2×D4×D71—24no—
215C2×D4×D71—24no—
216C2×D4×D71—24no—
217C2×D4×D71—24no—
218C2×D4×D71—24no—
219C2×D4×D71—24no—
220C23×Dic71C2311yescharacteristic
221C23×Dic71C2311yescharacteristic
222C23×Dic71C2311yescharacteristic
223C22×C4×D71—24no—
224C22×C4×D71—24no—
225C22×C4×D71—24no—
226C22×C4×D71—24no—
227C22×C4×D71—24no—
228C22×C4×D71—24no—
229C22×C4×D71—42no—
230C22×C4×D71—42no—
231C22×C4×D71—42no—
232C22×C4×D71C2311yescharacteristic
233C22×C4×D71C2311yescharacteristic
234C22×C4×D71C2311yescharacteristic
235C22×C4×D71C2311yescharacteristic
236C22×C4×D71C2311yescharacteristic
237C22×C4×D71C2311yescharacteristic
238C22×C4×D71C2311yescharacteristic
239C22×C4×D71C2311yescharacteristic
240C22×C4×D71C2311yescharacteristic
241C22×C4×D71C2311yescharacteristic
242C22×C4×D71C2311yescharacteristic
243C22×C4×D71C2311yescharacteristic
244C22×C4×D71C2311yescharacteristic
245C22×C4×D71C2311yescharacteristic
246C22×C4×D71C2311yescharacteristic
247#14556113—24no—
248#14556112—24no—
249#14556112—24no—
250#14556110—24no—
251#14556108—24no—
252#14556108—24no—
253#14556106—24no—
254#14556105—24no—
255#14556103—24no—
256#14556103—24no—
257#14556103—24no—
258#14556101—24no—
259#14556101—24no—
260#14556100—24no—
261#14556098—24no—
262#14556098—24no—
263#14556098—24no—
264#14556098—24no—
265#14556098—24no—
266#14556096—24no—
267#14556096—24no—
268C4×D284—24no—
269C4×D284—24no—
270C4×D284—24no—
271C4×D284—24no—
272C4×D284—24no—
273C4×D284D418yescomplemented
274D4×Dic71—24no—
275D4×Dic71—24no—
276#14556090—24no—
277#14556090—24no—
278C4×C22⋊D71—24no—
279C4×C22⋊D71—24no—
280C4×C22⋊D71—24no—
281C4×C22⋊D71—24no—
282C4×C22⋊D71—42no—
283C4×C22⋊D71—42no—
284C4×C22⋊D71D418yescomplemented
285(C22⋊D71)⋊C4—24no—
286(C22⋊D71)⋊C4—24no—
287(C22⋊D71)⋊C4—24no—
288(C22⋊D71)⋊C4—24no—
289#14556085—24no—
290C2×C4⋊Dic71C2311yescharacteristic
291C2×C4⋊Dic71C2311yescharacteristic
292C2×C4⋊Dic71C2311yescharacteristic
293C2×C4⋊Dic71C2311yescharacteristic
294C2×C4⋊Dic71C2311yescharacteristic
295C2×C4⋊Dic71C2311yescharacteristic
296C2×Dic71⋊C4C2311yescharacteristic
297C2×Dic71⋊C4C2311yescharacteristic
298C2×Dic71⋊C4C2311yescharacteristic
299C2×Dic71⋊C4C2311yescharacteristic
300C2×Dic71⋊C4C2311yescharacteristic
301C2×Dic71⋊C4C2311yescharacteristic
302C2×Dic71⋊C4C2311yescharacteristic
303C2×Dic71⋊C4C2311yescharacteristic
304C2×Dic71⋊C4C2311yescharacteristic
305C2×Dic71⋊C4C2311yescharacteristic
306C2×Dic71⋊C4C2311yescharacteristic
307C4⋊C4×D71—24no—
308C4⋊C4×D71—24no—
309C2×C22⋊Dic71C2311yescharacteristic
310C2×C22⋊Dic71C2311yescharacteristic
311C2×C22⋊Dic71C2311yescharacteristic
312C2×C22⋊Dic71C2311yescharacteristic
313C2×C22⋊Dic71C2311yescharacteristic
314C2×C22⋊Dic71C2311yescharacteristic
315C2×C22⋊Dic71C2311yescharacteristic
316C2×C22⋊Dic71C2311yescharacteristic
317C2×C22⋊Dic71C2311yescharacteristic
318C2×(C2×D71)⋊C4C2311yescharacteristic
319C2×(C2×D71)⋊C4C2311yescharacteristic
320C2×(C2×D71)⋊C4C2311yescharacteristic
321C2×(C2×D71)⋊C4C2311yescharacteristic
322C2×(C2×D71)⋊C4C2311yescharacteristic
323C2×(C2×D71)⋊C4C2311yescharacteristic
324C2×(C2×D71)⋊C4C2311yescharacteristic
325C2×(C2×D71)⋊C4C2311yescharacteristic
326C2×(C2×D71)⋊C4C2311yescharacteristic
327C2×(C2×D71)⋊C4C2311yescharacteristic
328C2×(C2×D71)⋊C4C2311yescharacteristic
329C2×(C2×D71)⋊C4C2311yescharacteristic
330C2×(C2×D71)⋊C4C2311yescharacteristic
331C2×(C2×D71)⋊C4C2311yescharacteristic
332C2×(C2×D71)⋊C4C2311yescharacteristic
333C2×(C2×D71)⋊C4C2311yescharacteristic
334C2×(C2×D71)⋊C4C2311yescharacteristic
335C2×(C2×D71)⋊C4C2311yescharacteristic
336C2×(C2×D71)⋊C4C2311yescharacteristic
337C2×(C2×D71)⋊C4C2311yescharacteristic
338C2×(C2×D71)⋊C4C2311yescharacteristic
339C2×(C2×D71)⋊C4C2311yescharacteristic
340C2×(C2×D71)⋊C4C2311yescharacteristic
341C2×(C2×D71)⋊C4C2311yescharacteristic
342C2×(C2×D71)⋊C4C2311yescharacteristic
343C2×(C2×D71)⋊C4C2311yescharacteristic
344C2×(C2×D71)⋊C4C2311yescharacteristic
345C2×(C2×D71)⋊C4C2311yescharacteristic
346C2×(C2×D71)⋊C4C2311yescharacteristic
347C2×(C2×D71)⋊C4C2311yescharacteristic
348C2×(C2×D71)⋊C4C2311yescharacteristic
349C22⋊C4×D71—24no—
350C22⋊C4×D71—24no—
351C22⋊C4×D71—24no—
352C22⋊C4×D71—24no—
353C2×C4×Dic71C2311yescharacteristic
354C2×C4×Dic71C2311yescharacteristic
355C2×C4×Dic71C2311yescharacteristic
356C2×C4×Dic71C2311yescharacteristic
357C2×C4×Dic71C2311yescharacteristic
358C2×C4×Dic71C2311yescharacteristic
359C2×C4×Dic71C2311yescharacteristic
360C42×D71—24no—
361C42×D71—24no—
362C71⋊#95C2311yescharacteristic
363C71⋊#95C2311yescharacteristic
364C71⋊#95C2311yescharacteristic
365C71⋊#95C2311yescharacteristic
366C71⋊#95C2311yescharacteristic
367C71⋊#95C2311yescharacteristic
368C71⋊#95C2311yescharacteristic
369C71⋊#95C2311yescharacteristic
370C71⋊#95C2311yescharacteristic
371C71⋊#95C2311yescharacteristic
372C71⋊#95C2311yescharacteristic
373C71⋊#95C2311yescharacteristic
374C71⋊#95C2311yescharacteristic
375C71⋊#95C2311yescharacteristic
376C71⋊#95C2311yescharacteristic
377C71⋊#95C2311yescharacteristic
378C71⋊#95C2311yescharacteristic
379C71⋊#95C2311yescharacteristic
380C22×D4×C71C2311yescharacteristic
381C22×D4×C71C2311yescharacteristic
382C22×D4×C71C2311yescharacteristic
383C23×C4×C71C2311yescharacteristic
384C23×C4×C71C2311yescharacteristic
385C23×C4×C71C2311yescharacteristic
386C4×D4×C71—24no—
387C4×D4×C71—24no—
388C4×D4×C71—24no—
389#117×C71—24no—
390C2×C4⋊C4×C71C2311yescharacteristic
391C2×C4⋊C4×C71C2311yescharacteristic
392C2×C4⋊C4×C71C2311yescharacteristic
393C2×C4⋊C4×C71C2311yescharacteristic
394C2×C4⋊C4×C71C2311yescharacteristic
395C2×C4⋊C4×C71C2311yescharacteristic
396C2×C4⋊C4×C71C2311yescharacteristic
397C2×C22⋊C4×C71C2311yescharacteristic
398C2×C22⋊C4×C71C2311yescharacteristic
399C2×C22⋊C4×C71C2311yescharacteristic
400C2×C22⋊C4×C71C2311yescharacteristic
401C2×C22⋊C4×C71C2311yescharacteristic
402C2×C22⋊C4×C71C2311yescharacteristic
403C2×C22⋊C4×C71C2311yescharacteristic
404C2×C22⋊C4×C71C2311yescharacteristic
405C2×C22⋊C4×C71C2311yescharacteristic
406C2×C22⋊C4×C71C2311yescharacteristic
407C2×C22⋊C4×C71C2311yescharacteristic
408C2×C22⋊C4×C71C2311yescharacteristic
409C2×C42×C71C2311yescharacteristic
410C2×C42×C71C2311yescharacteristic
411C2×C42×C71C2311yescharacteristic
412C2×C42×C71C2311yescharacteristic
413#95×C71C2311yescharacteristic
414#95×C71C2311yescharacteristic
415#95×C71C2311yescharacteristic
416#95×C71C2311yescharacteristic
417#95×C71C2311yescharacteristic
418#95×C71C2311yescharacteristic
419C23×D71—22no—
420C23×D71—22no—
421C23×D71—22no—
422C23×D71—22no—
423C23×D71—22no—
424C23×D71—22no—
425C23×D71—22no—
426C23×D71—22no—
427C23×D71—22no—
428C23×D71—22no—
429C23×D71—22no—
430C23×D71—22no—
431C23×D71—22no—
432C23×D71—22no—
433C23×D71—41no—
434C23×D71—41no—
435C23×D71—41no—
436C23×D71—41no—
437C23×D71—41no—
438C23×D71—41no—
439C23×D71#4114yescomplemented
440C23×D71C2411yescharacteristic
441C23×D71C2411yescharacteristic
442C23×D71C2411yescharacteristic
443C23×D71C2411yescharacteristic
444C23×D71C2411yescharacteristic
445#11765865—416no—
446C2×Dic142—22no—
447C2×Dic142—22no—
448C2×Dic142—41no—
449C2×D284—22no—
450C2×D284—22no—
451C2×D284—22no—
452C2×D284—22no—
453C2×D284—22no—
454C2×D284—22no—
455C2×D284—22no—
456C2×D284—22no—
457C2×D284—22no—
458C2×D284—22no—
459C2×D284—22no—
460C2×D284—22no—
461C2×D284—22no—
462C2×D284—22no—
463C2×D284—22no—
464C2×D284—22no—
465C2×D284—41no—
466C2×D284—41no—
467C2×D284—41no—
468C2×D284C2×D414yes—
469C2×D284#4114yescomplemented
470C2×C22⋊D71—22no—
471C2×C22⋊D71—22no—
472C2×C22⋊D71—22no—
473C2×C22⋊D71—22no—
474C2×C22⋊D71—22no—
475C2×C22⋊D71—22no—
476C2×C22⋊D71—22no—
477C2×C22⋊D71—22no—
478C2×C22⋊D71—22no—
479C2×C22⋊D71—22no—
480C2×C22⋊D71—22no—
481C2×C22⋊D71—22no—
482C2×C22⋊D71—22no—
483C2×C22⋊D71—22no—
484C2×C22⋊D71—22no—
485C2×C22⋊D71—22no—
486C2×C22⋊D71—22no—
487C2×C22⋊D71—22no—
488C2×C22⋊D71—22no—
489C2×C22⋊D71—41no—
490C2×C22⋊D71—41no—
491C2×C22⋊D71—41no—
492C2×C22⋊D71—41no—
493C2×C22⋊D71—41no—
494C2×C22⋊D71—41no—
495C2×C22⋊D71C2×D414yes—
496C2×C22⋊D71#4114yescomplemented
497D4×D71—232no—
498D4×D71—232no—
499C22×Dic71—22no—
500C22×Dic71—22no—
501C22×Dic71—22no—
502C22×Dic71—22no—
503C22×Dic71—22no—
504C22×Dic71—22no—
505C22×Dic71—41no—
506C22×Dic71—41no—
507C22×Dic71—41no—
508C22×Dic71C2411yescharacteristic
509C22×Dic71C2411yescharacteristic
510C22×Dic71C2411yescharacteristic
511C22×Dic71C2411yescharacteristic
512C22×Dic71C2411yescharacteristic
513C22×Dic71C2411yescharacteristic
514C22×Dic71C2411yescharacteristic
515C22×Dic71C2411yescharacteristic
516C22×Dic71C2411yescharacteristic
517C22×Dic71C2411yescharacteristic
518C22×Dic71C2411yescharacteristic
519C2×C4×D71—22no—
520C2×C4×D71—22no—
521C2×C4×D71—22no—
522C2×C4×D71—22no—
523C2×C4×D71—22no—
524C2×C4×D71—22no—
525C2×C4×D71—22no—
526C2×C4×D71—22no—
527C2×C4×D71—22no—
528C2×C4×D71—22no—
529C2×C4×D71—22no—
530C2×C4×D71—22no—
531C2×C4×D71—22no—
532C2×C4×D71—22no—
533C2×C4×D71—22no—
534C2×C4×D71—22no—
535C2×C4×D71—22no—
536C2×C4×D71—22no—
537C2×C4×D71—22no—
538C2×C4×D71—22no—
539C2×C4×D71—22no—
540C2×C4×D71—22no—
541C2×C4×D71—22no—
542C2×C4×D71—22no—
543C2×C4×D71—22no—
544C2×C4×D71—22no—
545C2×C4×D71—22no—
546C2×C4×D71—22no—
547C2×C4×D71—22no—
548C2×C4×D71—22no—
549C2×C4×D71—22no—
550C2×C4×D71—22no—
551C2×C4×D71—22no—
552C2×C4×D71—22no—
553C2×C4×D71—416no—
554C2×C4×D71—416no—
555C2×C4×D71—416no—
556C2×C4×D71—41no—
557C2×C4×D71—41no—
558C2×C4×D71—41no—
559C2×C4×D71—41no—
560C2×C4×D71—41no—
561C2×C4×D71—41no—
562C2×C4×D71—41no—
563C2×C4×D71—41no—
564C2×C4×D71C2×D414yes—
565C2×C4×D71C2×D414yes—
566C2×C4×D71C2×D414yescomplemented
567C4⋊Dic71—22no—
568C4⋊Dic71—22no—
569C4⋊Dic71—22no—
570C4⋊Dic71—22no—
571C4⋊Dic71—22no—
572C4⋊Dic71C2×D414yescomplemented
573Dic71⋊C4—22no—
574Dic71⋊C4—22no—
575Dic71⋊C4—22no—
576Dic71⋊C4—22no—
577Dic71⋊C4—22no—
578Dic71⋊C4—22no—
579Dic71⋊C4—22no—
580Dic71⋊C4—41no—
581Dic71⋊C4—41no—
582Dic71⋊C4—41no—
583Dic71⋊C4C2×D414yescomplemented
584C22⋊Dic71—22no—
585C22⋊Dic71—22no—
586C22⋊Dic71—22no—
587C22⋊Dic71—22no—
588C22⋊Dic71—22no—
589C22⋊Dic71—41no—
590C22⋊Dic71—41no—
591C22⋊Dic71—41no—
592C22⋊Dic71C2×D414yescomplemented
593(C2×D71)⋊C4—22no—
594(C2×D71)⋊C4—22no—
595(C2×D71)⋊C4—22no—
596(C2×D71)⋊C4—22no—
597(C2×D71)⋊C4—22no—
598(C2×D71)⋊C4—22no—
599(C2×D71)⋊C4—22no—
600(C2×D71)⋊C4—22no—
601(C2×D71)⋊C4—22no—
602(C2×D71)⋊C4—22no—
603(C2×D71)⋊C4—22no—
604(C2×D71)⋊C4—22no—
605(C2×D71)⋊C4—22no—
606(C2×D71)⋊C4—22no—
607(C2×D71)⋊C4—22no—
608(C2×D71)⋊C4—22no—
609(C2×D71)⋊C4—22no—
610(C2×D71)⋊C4—22no—
611(C2×D71)⋊C4—22no—
612(C2×D71)⋊C4—22no—
613(C2×D71)⋊C4—22no—
614(C2×D71)⋊C4—22no—
615(C2×D71)⋊C4—22no—
616(C2×D71)⋊C4—22no—
617(C2×D71)⋊C4—22no—
618(C2×D71)⋊C4—41no—
619(C2×D71)⋊C4—41no—
620(C2×D71)⋊C4—41no—
621(C2×D71)⋊C4C2×D414yes—
622(C2×D71)⋊C4C2×D414yes—
623(C2×D71)⋊C4C2×D414yescomplemented
624C4×Dic71—22no—
625C4×Dic71—22no—
626C4×Dic71—22no—
627C4×Dic71—22no—
628C4×Dic71—22no—
629C4×Dic71—22no—
630C4×Dic71C2×D414yescomplemented
631C24×C71C2411yescharacteristic
632C24×C71C2411yescharacteristic
633C24×C71C2411yescharacteristic
634C2×D4×C71—22no—
635C2×D4×C71—22no—
636C2×D4×C71—22no—
637C2×D4×C71—22no—
638C2×D4×C71—22no—
639C2×D4×C71—22no—
640C2×D4×C71—22no—
641C2×D4×C71—22no—
642C2×D4×C71—41no—
643C22×C4×C71—22no—
644C22×C4×C71—22no—
645C22×C4×C71—22no—
646C22×C4×C71—22no—
647C22×C4×C71—22no—
648C22×C4×C71—22no—
649C22×C4×C71—22no—
650C22×C4×C71—22no—
651C22×C4×C71C2×D414yescomplemented
652C22×C4×C71C2411yescharacteristic
653C22×C4×C71C2411yescharacteristic
654C22×C4×C71C2411yescharacteristic
655C22×C4×C71C2411yescharacteristic
656C22×C4×C71C2411yescharacteristic
657C22×C4×C71C2411yescharacteristic
658C22×C4×C71C2411yescharacteristic
659C22×C4×C71C2411yescharacteristic
660C22×C4×C71C2411yescharacteristic
661C22×C4×C71C2411yescharacteristic
662C22×C4×C71C2411yescharacteristic
663C22×C4×C71C2411yescharacteristic
664C4⋊C4×C71—22no—
665C4⋊C4×C71—22no—
666C4⋊C4×C71—22no—
667C4⋊C4×C71—22no—
668C4⋊C4×C71—22no—
669C4⋊C4×C71—22no—
670C4⋊C4×C71—41no—
671C22⋊C4×C71—22no—
672C22⋊C4×C71—22no—
673C22⋊C4×C71—22no—
674C22⋊C4×C71—22no—
675C22⋊C4×C71—22no—
676C22⋊C4×C71—22no—
677C22⋊C4×C71—22no—
678C22⋊C4×C71—22no—
679C22⋊C4×C71—22no—
680C22⋊C4×C71—22no—
681C22⋊C4×C71—22no—
682C22⋊C4×C71—41no—
683C42×C71—22no—
684C42×C71—22no—
685C42×C71—22no—
686C42×C71C2×D414yescomplemented
687C23×C71—21no—
688C23×C71—21no—
689C23×C71—21no—
690C23×C71—21no—
691C23×C71—21no—
692C23×C71—21no—
693C23×C71—21no—
694C23×C71—21no—
695C23×C71—21no—
696C23×C71—21no—
697C23×C71—21no—
698C23×C71—21no—
699C23×C71—21no—
700C23×C71—21no—
701C23×C71—21no—
702C23×C71—21no—
703C23×C71—21no—
704C23×C71—21no—
705C23×C71C22×D412yes—
706C23×C71C2×#4112yes—
707C23×C71C2×#4112yes—
708C23×C71C2511yescharacteristic
709C22×D71—21no—
710C22×D71—21no—
711C22×D71—21no—
712C22×D71—21no—
713C22×D71—21no—
714C22×D71—21no—
715C22×D71—21no—
716C22×D71—21no—
717C22×D71—28no—
718C22×D71—28no—
719C22×D71—21no—
720C22×D71—21no—
721C22×D71—21no—
722C22×D71—21no—
723C22×D71—21no—
724C22×D71—21no—
725C22×D71—21no—
726C22×D71—21no—
727C22×D71—21no—
728C22×D71—21no—
729C22×D71—21no—
730C22×D71—21no—
731C22×D71—28no—
732C22×D71—28no—
733C22×D71—21no—
734C22×D71—21no—
735C22×D71—21no—
736C22×D71—21no—
737C22×D71—21no—
738C22×D71—21no—
739C22×D71—21no—
740C22×D71—44no—
741C22×D71—44no—
742C22×D71—44no—
743C22×D71—44no—
744C22×D71—44no—
745C22×D71—44no—
746C22×D71—44no—
747C22×D71—44no—
748C22×D71—44no—
749C22×D71—44no—
750C22×D71—44no—
751C22×D71—44no—
752C22×D71—44no—
753C22×D71—44no—
754C22×D71—44no—
755C22×D71—44no—
756C22×D71—44no—
757C22×D71C22×D412yes—
758C22×D71C22×D412yes—
759C22×D71C22×D412yes—
760C22×D71C2×#4112yes—
761C22×D71C2×#4112yes—
762C22×D71C2×#4112yes—
763C22×D71C2×#4112yes—
764C22×D71C2×#4112yes—
765D4×C71—28no—
766D4×C71—28no—
767D4×C71—44no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—28no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—21no—
790C2×C4×C71—21no—
791C2×C4×C71—21no—
792C2×C4×C71—21no—
793C2×C4×C71—21no—
794C2×C4×C71—21no—
795C2×C4×C71—21no—
796C2×C4×C71—21no—
797C2×C4×C71—21no—
798C2×C4×C71—44no—
799C2×C4×C71—44no—
800C2×C4×C71C22×D412yes—
801C2×C4×C71C22×D412yes—
802C2×C4×C71C22×D412yes—
803C2×C4×C71C22×D412yes—
804C2×C4×C71C22×D412yes—
805C2×C4×C71C2×#4112yes—
806C2×C4×C71H(5,𝔽2)12yes—
807C22⋊D71—28no—
808C22⋊D71—28no—
809C22⋊D71—28no—
810C22⋊D71—28no—
811C22⋊D71—44no—
812C22⋊D71—44no—
813C22⋊D71—44no—
814C22⋊D71—44no—
815C22⋊D71—44no—
816C2×Dic71—21no—
817C2×Dic71—21no—
818C2×Dic71—21no—
819C2×Dic71—21no—
820C2×Dic71—21no—
821C2×Dic71—21no—
822C2×Dic71—21no—
823C2×Dic71—21no—
824C2×Dic71—21no—
825C2×Dic71—21no—
826C2×Dic71—21no—
827C2×Dic71—21no—
828C2×Dic71—21no—
829C2×Dic71—21no—
830C2×Dic71—21no—
831C2×Dic71—21no—
832C2×Dic71—21no—
833C2×Dic71—21no—
834C2×Dic71—21no—
835C2×Dic71—21no—
836C2×Dic71—21no—
837C2×Dic71—21no—
838C2×Dic71—21no—
839C2×Dic71—21no—
840C2×Dic71—21no—
841C2×Dic71—21no—
842C2×Dic71—21no—
843C2×Dic71—44no—
844C2×Dic71—44no—
845C2×Dic71—44no—
846C2×Dic71C22×D412yes—
847C2×Dic71C22×D412yes—
848C2×Dic71C22×D412yes—
849C2×Dic71C22×D412yes—
850C2×Dic71C22×D412yes—
851C2×Dic71C2×#4112yes—
852D284—28no—
853D284—28no—
854D284—44no—
855D284—44no—
856D284—44no—
857D284—44no—
858D284—44no—
859C4×D71—28no—
860C4×D71—28no—
861C4×D71—28no—
862C4×D71—28no—
863C4×D71—28no—
864C4×D71—44no—
865C4×D71—44no—
866C4×D71—44no—
867C4×D71—44no—
868C4×D71—44no—
869C4×D71—44no—
870C4×D71—44no—
871C4×D71—44no—
872C4×D71—44no—
873C4×D71—44no—
874Dic142—44no—
875C22×C71—22no—
876C22×C71—22no—
877C22×C71—22no—
878C22×C71—22no—
879C22×C71—22no—
880C22×C71—22no—
881C22×C71—22no—
882C22×C71—22no—
883C22×C71—22no—
884C22×C71—41no—
885C22×C71—41no—
886C22×C71—41no—
887C22×C71—41no—
888C22×C71—41no—
889C22×C71—41no—
890C22×C71—41no—
891C22×C71—41no—
892C22×C71—41no—
893C22×C71—41no—
894C22×C71—41no—
895C22×C71—41no—
896C22×C71C23×D411yescharacteristic
897C22×C71C23×D411yescharacteristic
898C22×C71C22×#4111yescharacteristic
899C22×C71C22×#4111yescharacteristic
900C22×C71C22×#4111yescharacteristic
901C22×C71C2×H(5,𝔽2)11yescharacteristic
902C22×C71#58511yescharacteristic
903C2×D71—22no—
904C2×D71—22no—
905C2×D71—22no—
906C2×D71—22no—
907C2×D71—22no—
908C2×D71—22no—
909C2×D71—22no—
910C2×D71—22no—
911C2×D71—22no—
912C2×D71—22no—
913C2×D71—22no—
914C2×D71—22no—
915C2×D71—22no—
916C2×D71—22no—
917C2×D71—22no—
918C2×D71—22no—
919C2×D71—22no—
920C2×D71—22no—
921C2×D71—416no—
922C2×D71—416no—
923C2×D71—416no—
924C2×D71—41no—
925C2×D71—41no—
926C2×D71—41no—
927C2×D71—41no—
928C2×D71—41no—
929C2×D71—41no—
930C2×D71—41no—
931C2×D71—41no—
932C2×D71—41no—
933C2×D71—41no—
934C2×D71—41no—
935C2×D71—41no—
936C2×D71—41no—
937C2×D71—41no—
938C2×D71—41no—
939C2×D71#52514yescomplemented
940C2×D71#52514yescomplemented
941C4×C71—22no—
942C4×C71—22no—
943C4×C71—22no—
944C4×C71—22no—
945C4×C71—41no—
946C4×C71—41no—
947C4×C71—41no—
948C4×C71—41no—
949C4×C71—41no—
950C4×C71—41no—
951C4×C71—41no—
952C4×C71D4214yes—
953Dic71—22no—
954Dic71—22no—
955Dic71—22no—
956Dic71—22no—
957Dic71—22no—
958Dic71—22no—
959Dic71—41no—
960Dic71—41no—
961Dic71—41no—
962Dic71—41no—
963Dic71—41no—
964#34655—711nomaximal, Sylow
965C2×C71—42no—
966C2×C71—42no—
967C2×C71—42no—
968C2×C71C2×#52511yescharacteristic
969C2×C71C2×#52511yescharacteristic
970C2×C71#345911yescharacteristic
971C2×C71C2×D4211yescharacteristic
972C2×C71D4×#4111yescharacteristic
973C2×C71D4×#4111yescharacteristic
974C2×C71#348111yescharacteristic
975D71—24no—
976D71—24no—
977D71—42no—
978D71—42no—
979D71—81no—
980C2×#525—711no—
981C2×#525—711no—
982C22×C4×D4—711no—
983C22×C4×D4—711no—
984#2463—711no—
985#2456—711no—
986#2456—711no—
987#2455—711no—
988#2449—711no—
989#2449—711no—
990#2443—711no—
991#2443—711no—
992#2437—711no—
993#2424—711no—
994#2424—711no—
995#2418—711no—
996#2418—711no—
997#2410—711no—
998#2410—711no—
999#2403—711no—
1000#2397—711no—
1001#2392—711no—
1002#2392D7111yescharacteristic, complemented
1003#2388—711no—
1004C4×#121—711no—
1005C4×#121—711no—
1006C4×#120—711no—
1007C4×#120—711no—
1008C4×#120—711no—
1009#2290—711no—
1010#2290—711no—
1011C71#3465511yescharacteristic, complemented, Sylow
1012C22×#41—711no—
1013C23×D4—711no—
1014C23×D4—711no—
1015C24×C4—711no—
1016C24×C4—711no—
1017C24×C4—711no—
1018#525—1428no—
1019#525—1428no—
1020C2×#123—711no—
1021C2×#123—711no—
1022C2×#123—711no—
1023C2×#123—711no—
1024C2×C22⋊Q8—711no—
1025C2×C22⋊Q8—711no—
1026C2×C22⋊Q8—711no—
1027C2×C22⋊Q8—711no—
1028C2×#121—711no—
1029C2×#121—711no—
1030C2×#121—711no—
1031C2×#121—711no—
1032C2×#121—711no—
1033C2×#121—711no—
1034C2×#120—711no—
1035C2×#120—711no—
1036C2×#120—711no—
1037C2×#120—711no—
1038C2×#120—711no—
1039C2×#120—711no—
1040C2×#120—711no—
1041C2×C4×D4—711no—
1042C2×C4×D4—711no—
1043C2×C4×D4—711no—
1044C2×C4×D4—711no—
1045C2×C4×D4—711no—
1046C2×C4×D4—711no—
1047C2×C4×D4—711no—
1048C2×C4×D4—711no—
1049C2×C4×D4—711no—
1050C2×C4×D4—711no—
1051C2×C4×D4—711no—
1052C2×C4×D4—711no—
1053C2×C4×D4—711no—
1054C2×C4×D4—711no—
1055C2×C4×D4—711no—
1056C2×C4×D4—711no—
1057C2×C4×D4—711no—
1058C2×C4×D4—711no—
1059C2×C4×D4—711no—
1060C2×C4×D4—711no—
1061C2×C4×D4—711no—
1062C2×C4×D4—1428no—
1063C2×C4×D4—1428no—
1064C2×C4×D4C2×D7111yescharacteristic, complemented
1065C2×C4×D4C2×D7111yescharacteristic, complemented
1066C2×C4×D4C2×D7111yescharacteristic, complemented
1067C2×#117—711no—
1068C2×#117C2×D7111yescharacteristic, complemented
1069C22×C4⋊C4—711no—
1070C22×C4⋊C4—711no—
1071C22×C22⋊C4—711no—
1072C22×C22⋊C4—711no—
1073C22×C22⋊C4—711no—
1074C22×C22⋊C4—711no—
1075C22×C42—711no—
1076C22×C42—711no—
1077#399—711no—
1078#399—711no—
1079#399—711no—
1080#399—711no—
1081#398—711no—
1082#398C2×D7111yescharacteristic, complemented
1083#397—711no—
1084#397C2×D7111yescharacteristic, complemented
1085#396—711no—
1086#396—711no—
1087#396C2×D7111yescharacteristic, complemented
1088#396C2×D7111yescharacteristic, complemented
1089#395—711no—
1090#394—711no—
1091#394—711no—
1092#394—711no—
1093#394—711no—
1094#394—711no—
1095#394—711no—
1096#394C2×D7111yescharacteristic, complemented
1097#394C2×D7111yescharacteristic, complemented
1098#394C2×D7111yescharacteristic, complemented
1099#393—711no—
1100#392—711no—
1101#392—711no—
1102#392—711no—
1103#392—711no—
1104#392—711no—
1105#392—711no—
1106#392—711no—
1107#392—711no—
1108#392C2×D7111yescharacteristic
1109#390—711no—
1110#390—711no—
1111#389—711no—
1112#389—711no—
1113#388—711no—
1114#388—711no—
1115#388—711no—
1116#388—711no—
1117#388—711no—
1118#388—711no—
1119#388—711no—
1120#388—711no—
1121#387—711no—
1122#387—711no—
1123#387—711no—
1124#387—711no—
1125#386—711no—
1126#386—711no—
1127#386—711no—
1128#386—711no—
1129#386—711no—
1130#386—711no—
1131#386—711no—
1132#386—711no—
1133#386—711no—
1134#386—711no—
1135#386—711no—
1136#386—711no—
1137#386—711no—
1138#386—711no—
1139#386—711no—
1140#386—711no—
1141#386—711no—
1142#385—711no—
1143#385—711no—
1144#385—711no—
1145#385—711no—
1146#385—711no—
1147#385—711no—
1148#385—711no—
1149#385—711no—
1150#385—711no—
1151#385—711no—
1152#385—711no—
1153#385—711no—
1154#385—711no—
1155#380—711no—
1156#380—711no—
1157#379—711no—
1158#379—711no—
1159#379—711no—
1160C4×C4⋊C4—711no—
1161C4×C4⋊C4C2×D7111yescharacteristic, complemented
1162C4×C22⋊C4—711no—
1163C4×C22⋊C4—711no—
1164C4×C22⋊C4—711no—
1165C4×C22⋊C4—711no—
1166C4×C22⋊C4—711no—
1167C4×C22⋊C4—711no—
1168C4×C22⋊C4C2×D7111yescharacteristic, complemented
1169C4×C22⋊C4C2×D7111yescharacteristic, complemented
1170#376—711no—
1171C25—711no—
1172C25—711no—
1173C25—711no—
1174C2×#41—2842no—
1175C2×#41—1424no—
1176C2×#41—1424no—
1177C22×Q8—711no—
1178C22×D4—711no—
1179C22×D4—711no—
1180C22×D4—711no—
1181C22×D4—711no—
1182C22×D4—711no—
1183C22×D4—711no—
1184C22×D4—711no—
1185C22×D4—711no—
1186C22×D4—711no—
1187C22×D4—711no—
1188C22×D4—711no—
1189C22×D4—711no—
1190C22×D4—711no—
1191C22×D4—711no—
1192C22×D4—711no—
1193C22×D4—711no—
1194C22×D4—1424no—
1195C22×D4—1424no—
1196C22×D4—1424no—
1197C22×D4—1424no—
1198C22×D4—1424no—
1199C22×D4—1424no—
1200C22×D4C22×D7111yescharacteristic
1201C22×D4C22×D7111yescharacteristic
1202C22×D4C22×D7111yescharacteristic
1203C23×C4—2842no—
1204C23×C4—2842no—
1205C23×C4—2842no—
1206C23×C4—711no—
1207C23×C4—711no—
1208C23×C4—711no—
1209C23×C4—711no—
1210C23×C4—711no—
1211C23×C4—711no—
1212C23×C4—711no—
1213C23×C4—711no—
1214C23×C4—711no—
1215C23×C4—711no—
1216C23×C4—711no—
1217C23×C4—711no—
1218C23×C4—711no—
1219C23×C4—711no—
1220C23×C4—711no—
1221C23×C4—711no—
1222C23×C4—711no—
1223C23×C4—711no—
1224C23×C4—1424no—
1225C23×C4—1424no—
1226C23×C4—1424no—
1227C23×C4—1424no—
1228C23×C4—1424no—
1229C23×C4—1424no—
1230C23×C4C22×D7111yescharacteristic
1231C23×C4C22×D7111yescharacteristic
1232C23×C4C22×D7111yescharacteristic
1233#123—1424no—
1234#123—1424no—
1235#123—1424no—
1236#123—1424no—
1237C22⋊Q8—1424no—
1238C22⋊Q8—1424no—
1239C22⋊Q8—1424no—
1240C22⋊Q8—1424no—
1241#121—1424no—
1242#121—1424no—
1243#121—1424no—
1244#121—1424no—
1245#121—1424no—
1246#121—1424no—
1247#120—1424no—
1248#120—1424no—
1249#120—1424no—
1250#120—1424no—
1251#120—1424no—
1252#120—1424no—
1253#120—1424no—
1254C4×D4—24no—
1255C4×D4—24no—
1256C4×D4—24no—
1257C4×D4—2842no—
1258C4×D4—2842no—
1259C4×D4—718no—
1260C4×D4—718no—
1261C4×D4—1424no—
1262C4×D4—1424no—
1263C4×D4—1424no—
1264C4×D4—1424no—
1265C4×D4—1424no—
1266C4×D4—1424no—
1267C4×D4—1424no—
1268C4×D4—1424no—
1269C4×D4—1424no—
1270C4×D4—1424no—
1271C4×D4—1424no—
1272C4×D4—1424no—
1273C4×D4—1424no—
1274C4×D4—1424no—
1275C4×D4—1424no—
1276C4×D4—1424no—
1277C4×D4—1424no—
1278#117—24no—
1279#117—1424no—
1280C2×C4⋊C4—711no—
1281C2×C4⋊C4—711no—
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—711no—
1284C2×C4⋊C4—711no—
1285C2×C4⋊C4—711no—
1286C2×C4⋊C4—711no—
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—711no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4—711no—
1291C2×C4⋊C4—711no—
1292C2×C4⋊C4—711no—
1293C2×C4⋊C4—711no—
1294C2×C4⋊C4—711no—
1295C2×C4⋊C4—711no—
1296C2×C4⋊C4—711no—
1297C2×C4⋊C4—1424no—
1298C2×C4⋊C4—1424no—
1299C2×C4⋊C4C22×D7111yescharacteristic
1300C2×C4⋊C4C22×D7111yescharacteristic
1301C2×C4⋊C4C22×D7111yescharacteristic
1302C2×C4⋊C4C22×D7111yescharacteristic
1303C2×C4⋊C4C22×D7111yescharacteristic
1304C2×C4⋊C4C22×D7111yescharacteristic
1305C2×C4⋊C4C22×D7111yescharacteristic
1306C2×C22⋊C4—711no—
1307C2×C22⋊C4—711no—
1308C2×C22⋊C4—711no—
1309C2×C22⋊C4—711no—
1310C2×C22⋊C4—711no—
1311C2×C22⋊C4—711no—
1312C2×C22⋊C4—711no—
1313C2×C22⋊C4—711no—
1314C2×C22⋊C4—711no—
1315C2×C22⋊C4—711no—
1316C2×C22⋊C4—711no—
1317C2×C22⋊C4—711no—
1318C2×C22⋊C4—711no—
1319C2×C22⋊C4—711no—
1320C2×C22⋊C4—711no—
1321C2×C22⋊C4—711no—
1322C2×C22⋊C4—711no—
1323C2×C22⋊C4—711no—
1324C2×C22⋊C4—711no—
1325C2×C22⋊C4—711no—
1326C2×C22⋊C4—711no—
1327C2×C22⋊C4—711no—
1328C2×C22⋊C4—711no—
1329C2×C22⋊C4—711no—
1330C2×C22⋊C4—711no—
1331C2×C22⋊C4—711no—
1332C2×C22⋊C4—711no—
1333C2×C22⋊C4—711no—
1334C2×C22⋊C4—711no—
1335C2×C22⋊C4—711no—
1336C2×C22⋊C4—711no—
1337C2×C22⋊C4—711no—
1338C2×C22⋊C4—711no—
1339C2×C22⋊C4—711no—
1340C2×C22⋊C4—711no—
1341C2×C22⋊C4—711no—
1342C2×C22⋊C4—711no—
1343C2×C22⋊C4—711no—
1344C2×C22⋊C4—711no—
1345C2×C22⋊C4—711no—
1346C2×C22⋊C4—1424no—
1347C2×C22⋊C4—1424no—
1348C2×C22⋊C4—1424no—
1349C2×C22⋊C4—1424no—
1350C2×C22⋊C4C22×D7111yescharacteristic
1351C2×C22⋊C4C22×D7111yescharacteristic
1352C2×C22⋊C4C22×D7111yescharacteristic
1353C2×C22⋊C4C22×D7111yescharacteristic
1354C2×C22⋊C4C22×D7111yescharacteristic
1355C2×C22⋊C4C22×D7111yescharacteristic
1356C2×C22⋊C4C22×D7111yescharacteristic
1357C2×C22⋊C4C22×D7111yescharacteristic
1358C2×C22⋊C4C22×D7111yescharacteristic
1359C2×C22⋊C4C22×D7111yescharacteristic
1360C2×C22⋊C4C22×D7111yescharacteristic
1361C2×C22⋊C4C22×D7111yescharacteristic
1362C2×C42—711no—
1363C2×C42—711no—
1364C2×C42—711no—
1365C2×C42—711no—
1366C2×C42—711no—
1367C2×C42—711no—
1368C2×C42—711no—
1369C2×C42—1424no—
1370C2×C42—1424no—
1371C2×C42C22×D7111yescharacteristic
1372C2×C42C22×D7111yescharacteristic
1373C2×C42C22×D7111yescharacteristic
1374C2×C42C22×D7111yescharacteristic
1375#95—711no—
1376#95—711no—
1377#95—711no—
1378#95—711no—
1379#95—711no—
1380#95—711no—
1381#95—711no—
1382#95—711no—
1383#95—711no—
1384#95—711no—
1385#95—711no—
1386#95—711no—
1387#95—711no—
1388#95—711no—
1389#95—711no—
1390#95—711no—
1391#95—711no—
1392#95—711no—
1393#95C22×D7111yescharacteristic
1394#95C22×D7111yescharacteristic
1395#95C22×D7111yescharacteristic
1396#95C22×D7111yescharacteristic
1397#95C22×D7111yescharacteristic
1398#95C22×D7111yescharacteristic
1399C24—2841no—
1400C24—2841no—
1401C24—2841no—
1402C24—2841no—
1403C24—2841no—
1404C24—2841no—
1405C24—714no—
1406C24—711no—
1407C24—711no—
1408C24—711no—
1409C24—711no—
1410C24—711no—
1411C24—1422no—
1412C24—1422no—
1413C24—1422no—
1414C24—1422no—
1415C24—1422no—
1416C24—1422no—
1417C24—1422no—
1418C24—1422no—
1419C24—1422no—
1420C24—1422no—
1421C24—1422no—
1422C24—1422no—
1423C24—1422no—
1424C24—1422no—
1425C24C23×D7111yescharacteristic
1426C24C23×D7111yescharacteristic
1427C24C23×D7111yescharacteristic
1428#41—28416no—
1429C2×Q8—2841no—
1430C2×Q8—1422no—
1431C2×Q8—1422no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—41no—
1441C2×D4—2841no—
1442C2×D4—2841no—
1443C2×D4—2841no—
1444C2×D4—2841no—
1445C2×D4—2841no—
1446C2×D4—2841no—
1447C2×D4—2841no—
1448C2×D4—2841no—
1449C2×D4—2841no—
1450C2×D4—714no—
1451C2×D4—714no—
1452C2×D4—714no—
1453C2×D4—714no—
1454C2×D4—1422no—
1455C2×D4—1422no—
1456C2×D4—1422no—
1457C2×D4—1422no—
1458C2×D4—1422no—
1459C2×D4—1422no—
1460C2×D4—1422no—
1461C2×D4—1422no—
1462C2×D4—1422no—
1463C2×D4—1422no—
1464C2×D4—1422no—
1465C2×D4—1422no—
1466C2×D4—1422no—
1467C2×D4—1422no—
1468C2×D4—1422no—
1469C2×D4—1422no—
1470C2×D4—1422no—
1471C2×D4—1422no—
1472C2×D4—14232no—
1473C2×D4—14232no—
1474C2×D4—1422no—
1475C2×D4—1422no—
1476C2×D4—1422no—
1477C2×D4—1422no—
1478C2×D4—1422no—
1479C2×D4—1422no—
1480C2×D4—1422no—
1481C2×D4—1422no—
1482C2×D4—1422no—
1483C2×D4—1422no—
1484C2×D4—1422no—
1485C2×D4—1422no—
1486C2×D4—1422no—
1487C2×D4—1422no—
1488C2×D4—1422no—
1489C2×D4—1422no—
1490C2×D4—1422no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—28416no—
1500C22×C4—2841no—
1501C22×C4—2841no—
1502C22×C4—2841no—
1503C22×C4—2841no—
1504C22×C4—2841no—
1505C22×C4—2841no—
1506C22×C4—2841no—
1507C22×C4—2841no—
1508C22×C4—28416no—
1509C22×C4—28416no—
1510C22×C4—2841no—
1511C22×C4—2841no—
1512C22×C4—2841no—
1513C22×C4—711no—
1514C22×C4—711no—
1515C22×C4—711no—
1516C22×C4—711no—
1517C22×C4—711no—
1518C22×C4—711no—
1519C22×C4—714no—
1520C22×C4—714no—
1521C22×C4—714no—
1522C22×C4—711no—
1523C22×C4—711no—
1524C22×C4—711no—
1525C22×C4—711no—
1526C22×C4—711no—
1527C22×C4—1422no—
1528C22×C4—1422no—
1529C22×C4—1422no—
1530C22×C4—1422no—
1531C22×C4—1422no—
1532C22×C4—1422no—
1533C22×C4—1422no—
1534C22×C4—1422no—
1535C22×C4—1422no—
1536C22×C4—1422no—
1537C22×C4—1422no—
1538C22×C4—1422no—
1539C22×C4—1422no—
1540C22×C4—1422no—
1541C22×C4—1422no—
1542C22×C4—1422no—
1543C22×C4—1422no—
1544C22×C4—1422no—
1545C22×C4—1422no—
1546C22×C4—1422no—
1547C22×C4—1422no—
1548C22×C4—1422no—
1549C22×C4—1422no—
1550C22×C4—1422no—
1551C22×C4—1422no—
1552C22×C4—1422no—
1553C22×C4—1422no—
1554C22×C4—1422no—
1555C22×C4—1422no—
1556C22×C4—1422no—
1557C22×C4—1422no—
1558C22×C4—1422no—
1559C22×C4—1422no—
1560C22×C4—1422no—
1561C22×C4—1422no—
1562C22×C4—1422no—
1563C22×C4—1422no—
1564C22×C4—1422no—
1565C22×C4—1422no—
1566C22×C4—1422no—
1567C22×C4D4×D7114yescomplemented
1568C22×C4C23×D7111yescharacteristic
1569C22×C4C23×D7111yescharacteristic
1570C22×C4C23×D7111yescharacteristic
1571C22×C4C23×D7111yescharacteristic
1572C22×C4C23×D7111yescharacteristic
1573C22×C4C23×D7111yescharacteristic
1574C22×C4C23×D7111yescharacteristic
1575C22×C4C23×D7111yescharacteristic
1576C22×C4C23×D7111yescharacteristic
1577C22×C4C23×D7111yescharacteristic
1578C22×C4C23×D7111yescharacteristic
1579C22×C4C23×D7111yescharacteristic
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—41no—
1587C4⋊C4—2841no—
1588C4⋊C4—2841no—
1589C4⋊C4—2841no—
1590C4⋊C4—714no—
1591C4⋊C4—714no—
1592C4⋊C4—1422no—
1593C4⋊C4—1422no—
1594C4⋊C4—1422no—
1595C4⋊C4—1422no—
1596C4⋊C4—1422no—
1597C4⋊C4—1422no—
1598C4⋊C4—1422no—
1599C4⋊C4—1422no—
1600C4⋊C4—1422no—
1601C4⋊C4—1422no—
1602C4⋊C4—1422no—
1603C4⋊C4—1422no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—22no—
1615C22⋊C4—41no—
1616C22⋊C4—2841no—
1617C22⋊C4—2841no—
1618C22⋊C4—2841no—
1619C22⋊C4—2841no—
1620C22⋊C4—2841no—
1621C22⋊C4—2841no—
1622C22⋊C4—714no—
1623C22⋊C4—714no—
1624C22⋊C4—714no—
1625C22⋊C4—714no—
1626C22⋊C4—1422no—
1627C22⋊C4—1422no—
1628C22⋊C4—1422no—
1629C22⋊C4—1422no—
1630C22⋊C4—1422no—
1631C22⋊C4—1422no—
1632C22⋊C4—1422no—
1633C22⋊C4—1422no—
1634C22⋊C4—1422no—
1635C22⋊C4—1422no—
1636C22⋊C4—1422no—
1637C22⋊C4—1422no—
1638C22⋊C4—1422no—
1639C22⋊C4—1422no—
1640C22⋊C4—1422no—
1641C22⋊C4—1422no—
1642C22⋊C4—1422no—
1643C22⋊C4—1422no—
1644C22⋊C4—1422no—
1645C22⋊C4—1422no—
1646C22⋊C4—1422no—
1647C22⋊C4—1422no—
1648C22⋊C4—1422no—
1649C22⋊C4—1422no—
1650C22⋊C4—1422no—
1651C22⋊C4—1422no—
1652C22⋊C4—1422no—
1653C22⋊C4—1422no—
1654C22⋊C4—1422no—
1655C22⋊C4—1422no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—714no—
1660C42—1422no—
1661C42—1422no—
1662C42—1422no—
1663C42—1422no—
1664C42—1422no—
1665C42—1422no—
1666C42D4×D7114yescomplemented
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—2844no—
1686C23—2844no—
1687C23—2844no—
1688C23—2844no—
1689C23—2844no—
1690C23—2844no—
1691C23—2844no—
1692C23—2844no—
1693C23—2844no—
1694C23—2844no—
1695C23—2844no—
1696C23—2844no—
1697C23—2844no—
1698C23—2844no—
1699C23—2844no—
1700C23—2844no—
1701C23—2844no—
1702C23—712no—
1703C23—712no—
1704C23—712no—
1705C23—712no—
1706C23—712no—
1707C23—712no—
1708C23—712no—
1709C23—712no—
1710C23—1428no—
1711C23—1428no—
1712C23—1428no—
1713C23—1428no—
1714C23—1421no—
1715C23—1421no—
1716C23—1421no—
1717C23—1421no—
1718C23—1421no—
1719C23—1421no—
1720C23—1421no—
1721C23—1421no—
1722C23—1421no—
1723C23—1421no—
1724C23—1421no—
1725C23—1421no—
1726C23—1421no—
1727C23—1421no—
1728C23—1421no—
1729C23—1421no—
1730C23—1421no—
1731C23—1421no—
1732C23—1421no—
1733C23—1421no—
1734C23—1421no—
1735C23—1421no—
1736C23—1421no—
1737C23—1421no—
1738C23—1421no—
1739C23—1421no—
1740C23—1421no—
1741C23C2×D4×D7112yes—
1742C23#41×D7112yes—
1743C23#41×D7112yes—
1744C23C24×D7111yescharacteristic
1745Q8—2844no—
1746D4—28no—
1747D4—28no—
1748D4—44no—
1749D4—2844no—
1750D4—2844no—
1751D4—2844no—
1752D4—2844no—
1753D4—2844no—
1754D4—2844no—
1755D4—2844no—
1756D4—2844no—
1757D4—2844no—
1758D4—2844no—
1759D4—1428no—
1760D4—1428no—
1761D4—1428no—
1762D4—1428no—
1763D4—1428no—
1764D4—1428no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—28no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—2844no—
1798C2×C4—2844no—
1799C2×C4—2844no—
1800C2×C4—2844no—
1801C2×C4—2844no—
1802C2×C4—2844no—
1803C2×C4—2844no—
1804C2×C4—2844no—
1805C2×C4—2844no—
1806C2×C4—2844no—
1807C2×C4—2844no—
1808C2×C4—2844no—
1809C2×C4—2844no—
1810C2×C4—712no—
1811C2×C4—712no—
1812C2×C4—712no—
1813C2×C4—712no—
1814C2×C4—712no—
1815C2×C4—712no—
1816C2×C4—1428no—
1817C2×C4—1428no—
1818C2×C4—1421no—
1819C2×C4—1421no—
1820C2×C4—1421no—
1821C2×C4—1421no—
1822C2×C4—1421no—
1823C2×C4—1421no—
1824C2×C4—1421no—
1825C2×C4—1421no—
1826C2×C4—1421no—
1827C2×C4—1421no—
1828C2×C4—1421no—
1829C2×C4—1421no—
1830C2×C4—1421no—
1831C2×C4—1421no—
1832C2×C4—1421no—
1833C2×C4—1421no—
1834C2×C4—1421no—
1835C2×C4—1421no—
1836C2×C4—1421no—
1837C2×C4—1421no—
1838C2×C4—1421no—
1839C2×C4—1421no—
1840C2×C4—1421no—
1841C2×C4—1421no—
1842C2×C4—1421no—
1843C2×C4—1421no—
1844C2×C4—1421no—
1845C2×C4—1428no—
1846C2×C4—1428no—
1847C2×C4—1428no—
1848C2×C4C2×D4×D7112yes—
1849C2×C4C2×D4×D7112yes—
1850C2×C4C2×D4×D7112yes—
1851C2×C4C2×D4×D7112yes—
1852C2×C4C2×D4×D7112yes—
1853C2×C4#41×D7112yes—
1854C2×C4#1455617412yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—28416no—
1877C22—28416no—
1878C22—28416no—
1879C22—2841no—
1880C22—2841no—
1881C22—2841no—
1882C22—2841no—
1883C22—2841no—
1884C22—2841no—
1885C22—2841no—
1886C22—2841no—
1887C22—2841no—
1888C22—2841no—
1889C22—2841no—
1890C22—2841no—
1891C22—2841no—
1892C22—2841no—
1893C22—2841no—
1894C22—714no—
1895C22—714no—
1896C22—1422no—
1897C22—1422no—
1898C22—1422no—
1899C22—1422no—
1900C22—1422no—
1901C22—1422no—
1902C22—1422no—
1903C22—1422no—
1904C22—1422no—
1905C22—1422no—
1906C22—1422no—
1907C22—1422no—
1908C22—1422no—
1909C22—1422no—
1910C22—1422no—
1911C22—1422no—
1912C22—1422no—
1913C22—1422no—
1914C22C22×D4×D7111yescharacteristic
1915C22C22×D4×D7111yescharacteristic
1916C22C2×#41×D7111yescharacteristic
1917C22C2×#41×D7111yescharacteristic
1918C22C2×#41×D7111yescharacteristic
1919C22C2×#1455617411yescharacteristic
1920C22#1798683511yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—2841no—
1933C4—2841no—
1934C4—2841no—
1935C4—2841no—
1936C4—2841no—
1937C4—1422no—
1938C4—1422no—
1939C4—1422no—
1940C4—1422no—
1941C4—1422no—
1942C4—1422no—
1943C4#1798663314yes—
1944C2—42no—
1945C2—42no—
1946C2—42no—
1947C2—2842no—
1948C2—2842no—
1949C2—5681no—
1950C2—1424no—
1951C2—1424no—
1952C2#525×D7111yescharacteristic
1953C2#525×D7111yescharacteristic
1954C2#2260175011yescharacteristic
1955C2C2×#1798663311yescharacteristic
1956C2#2260182311yescharacteristic
1957C2#2260182611yescharacteristic
1958C2#2260194611yescharacteristic
subgroupG/H
centerC22×C4C23×D71
commutator, socle, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC71×#2392C2
hypercenter#2392D71
hypocenterC71#34655
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#17986511C2semidirect
2. C2×#17986508C2semidirect
3. C2×C4×D4×D71C2semidirect
4. C2×C4×D4×D71C2semidirect
5. #22592332C2semidirect
6. #22592235C2semidirect
7. #22592225C2semidirect
8. #22592218C2semidirect
9. #22592150C2semidirect
10. #22592144C2semidirect
11. #22592076C2semidirect
12. #22592070C2semidirect
13. #22592002C2semidirect
14. #22591877C2semidirect
15. #22591871C2semidirect
16. #22591803C2semidirect
17. #22591797C2semidirect
18. #22591709C2semidirect
19. #22591709C2semidirect
20. #22591649C2semidirect
21. #22591619C2semidirect
22. #22591584C2semidirect
23. #22591555C2semidirect
24. C4×#14556103C2semidirect
25. C4×#14556101C2semidirect
26. C4×#14556098C2semidirect
27. C4×#14556098C2semidirect
28. C4×#14556096C2semidirect
29. #22590781C2semidirect
30. #22590777C2semidirect
31. C71×#2392C2semidirect
32. C22×#11765865C22semidirect
36. C23×C4×D71C22semidirect
37. C23×C4×D71C22semidirect
40. C2×#14556113C22semidirect
41. C2×#14556112C22semidirect
42. C2×#14556112C22semidirect
43. C2×#14556110C22semidirect
44. C2×#14556108C22semidirect
45. C2×#14556108C22semidirect
46. C2×#14556106C22semidirect
47. C2×#14556105C22semidirect
50. C2×#14556103C22semidirect
53. C2×#14556100C22semidirect
57. C2×#14556098C22semidirect
58. C2×#14556098C22semidirect
63. C2×C4×D284C22semidirect
64. C2×C4×D284C22semidirect
65. C2×C4×D284C22semidirect
66. C2×C4×D284C22semidirect
67. C2×D4×Dic71C22semidirect
68. C2×D4×Dic71C22semidirect
73. C2×C4×C22⋊D71C22semidirect
74. C2×C4×C22⋊D71C22semidirect
75. C2×C4×C22⋊D71C22semidirect
76. C2×C4×C22⋊D71C22semidirect
77. C2×C4×C22⋊D71C22semidirect
80. C2×(C22⋊D71)⋊C4C22semidirect
81. C2×(C22⋊D71)⋊C4C22semidirect
84. C2×#14556085C22semidirect
85. C2×C4⋊C4×D71C22semidirect
86. C2×C4⋊C4×D71C22semidirect
89. C2×C22⋊C4×D71C22semidirect
90. C2×C22⋊C4×D71C22semidirect
91. C2×C42×D71C22semidirect
92. C2×C42×D71C22semidirect
93. #17985935C22semidirect
94. #17985935C22semidirect
95. #17985934C22semidirect
96. #17985934C22semidirect
97. #17985933C22semidirect
98. #17985928C22semidirect
99. #17985923C22semidirect
100. #17985922C22semidirect
101. #17985919C22semidirect
102. #17985917C22semidirect
103. #17985916C22semidirect
104. #17985914C22semidirect
105. #17985914C22semidirect
106. #17985914C22semidirect
107. #17985914C22semidirect
108. #17985911C22semidirect
110. #17985908C22semidirect
111. #17985908C22semidirect
112. #17985908C22semidirect
115. #17985907C22semidirect
116. #17985907C22semidirect
117. #17985900C22semidirect
118. #17985899C22semidirect
119. #17985898C22semidirect
120. #17985896C22semidirect
121. #17985892C22semidirect
122. #17985891C22semidirect
123. #17985891C22semidirect
124. #17985889C22semidirect
125. #17985889C22semidirect
126. #17985888C22semidirect
127. #17985887C22semidirect
128. #17985887C22semidirect
129. #17985882C22semidirect
130. #17985882C22semidirect
131. #17985880C22semidirect
132. #17985880C22semidirect
133. #17985879C22semidirect
138. #17985877C22semidirect
139. #17985877C22semidirect
140. #17985877C22semidirect
141. #17985877C22semidirect
142. #17985877C22semidirect
143. #17985876C22semidirect
144. #17985876C22semidirect
149. #17985875C22semidirect
150. #17985874C22semidirect
151. #17985874C22semidirect
152. #17985873C22semidirect
153. #17985873C22semidirect
154. #17985873C22semidirect
155. #17985873C22semidirect
156. #17985871C22semidirect
157. #17985870C22semidirect
158. #17985870C22semidirect
159. #17985870C22semidirect
160. #17985870C22semidirect
161. #17985870C22semidirect
162. #17985870C22semidirect
163. #17985858C22semidirect
164. #17985856C22semidirect
166. #17985854C22semidirect
167. #17985854C22semidirect
168. C4×Dic71⋊C4C22semidirect
169. C4×(C2×D71)⋊C4C22semidirect
170. C4×(C2×D71)⋊C4C22semidirect
171. C4×(C2×D71)⋊C4C22semidirect
172. C4×(C2×D71)⋊C4C22semidirect
173. C4×(C2×D71)⋊C4C22semidirect
174. C4×C22⋊Dic71C22semidirect
175. #17985845C22semidirect
176. C2×C4×D4×C71C22semidirect
177. C2×C4×D4×C71C22semidirect
178. C2×C4×D4×C71C22semidirect
179. C2×#117×C71C22semidirect
180. #398×C71C22semidirect
181. #397×C71C22semidirect
182. #396×C71C22semidirect
183. #396×C71C22semidirect
184. #394×C71C22semidirect
185. #394×C71C22semidirect
186. #394×C71C22semidirect
188. C4×C4⋊C4×C71C22semidirect
189. C4×C22⋊C4×C71C22semidirect
190. C4×C22⋊C4×C71C22semidirect
273. C4×D284D4semidirect
284. C4×C22⋊D71D4semidirect
439. C23×D71#41semidirect
469. C2×D284#41semidirect
496. C2×C22⋊D71#41semidirect
566. C2×C4×D71C2×D4semidirect
572. C4⋊Dic71C2×D4semidirect
583. Dic71⋊C4C2×D4semidirect
592. C22⋊Dic71C2×D4semidirect
623. (C2×D71)⋊C4C2×D4semidirect
630. C4×Dic71C2×D4semidirect
651. C22×C4×C71C2×D4semidirect
686. C42×C71C2×D4semidirect
939. C2×D71#525semidirect
940. C2×D71#525semidirect
1002. #2392D71semidirect
1011. C71#34655semidirect
1064. C2×C4×D4C2×D71semidirect
1065. C2×C4×D4C2×D71semidirect
1066. C2×C4×D4C2×D71semidirect
1068. C2×#117C2×D71semidirect
1082. #398C2×D71semidirect
1084. #397C2×D71semidirect
1087. #396C2×D71semidirect
1088. #396C2×D71semidirect
1096. #394C2×D71semidirect
1097. #394C2×D71semidirect
1098. #394C2×D71semidirect
1161. C4×C4⋊C4C2×D71semidirect
1168. C4×C22⋊C4C2×D71semidirect
1169. C4×C22⋊C4C2×D71semidirect
1567. C22×C4D4×D71semidirect
1666. C42D4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179865112
C2×#179865082
C2×C4×D4×D712
#225923322
#225922352
#225922252
#225922182
#225921502
#225921442
#225920762
#225920702
#225920022
#225918772
#225918712
#225918032
#225917972
#225917092
#225916492
#225916192
#225915842
#225915552
C4×#145561032
C4×#145561012
C4×#145560982
C4×#145560962
#225907812
#225907772
C71×#23922
#3465571