Finite Group Databasebeta

← #32164999

Subgroups — #32164999

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×#17986508C211yesmaximal, characteristic, complemented
2C2×#17986508C211yesmaximal, characteristic, complemented
3C22×C4×D284C211yesmaximal, characteristic, complemented
4C2×C4×D4×D71C211yesmaximal, characteristic, complemented
5#22592334C211yesmaximal, characteristic, complemented
6#22592238C211yesmaximal, characteristic, complemented
7#22592231C211yesmaximal, characteristic, complemented
8#22592224C211yesmaximal, characteristic, complemented
9#22592156C211yesmaximal, characteristic, complemented
10#22592155C211yesmaximal, characteristic, complemented
11#22592082C211yesmaximal, characteristic, complemented
12#22592081C211yesmaximal, characteristic, complemented
13#22592008C211yesmaximal, characteristic, complemented
14#22591883C211yesmaximal, characteristic, complemented
15#22591882C211yesmaximal, characteristic, complemented
16#22591809C211yesmaximal, characteristic, complemented
17#22591808C211yesmaximal, characteristic, complemented
18#22591717C211yesmaximal, characteristic, complemented
19#22591711C211yesmaximal, characteristic, complemented
20#22591652C211yesmaximal, characteristic, complemented
21#22591619C211yesmaximal, characteristic, complemented
22#22591584C211yesmaximal, characteristic, complemented
23#22591580C211yesmaximal, characteristic, complemented
24#22591556C211yesmaximal, characteristic, complemented
25C4×#14556101C211yesmaximal, characteristic, complemented
26C4×#14556098C211yesmaximal, characteristic, complemented
27C4×#14556096C211yesmaximal, characteristic, complemented
28C4×#14556096C211yesmaximal, characteristic, complemented
29#22590783C211yesmaximal, characteristic, complemented
30#22590781C211yesmaximal, characteristic, complemented
31C4×#121×C71C211yesmaximal, characteristic, complemented
32C22×#11765865C2211yescharacteristic, complemented
33C23×D284C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic
36C23×C4×D71C2211yescharacteristic, complemented
37C23×C4×D71C2211yescharacteristic, complemented
38#17986508—28no—
39#17986508—28no—
40C2×#14556113C2211yescharacteristic, complemented
41C2×#14556113C2211yescharacteristic, complemented
42C2×#14556110C2211yescharacteristic, complemented
43C2×#14556110C2211yescharacteristic, complemented
44C2×#14556106C2211yescharacteristic, complemented
45C2×#14556106C2211yescharacteristic, complemented
46C2×#14556105C2211yescharacteristic, complemented
47C2×#14556105C2211yescharacteristic, complemented
48C2×#14556101C2211yescharacteristic
49C2×#14556101C2211yescharacteristic
50C2×#14556101C2211yescharacteristic, complemented
51C2×#14556100C2211yescharacteristic
52C2×#14556100C2211yescharacteristic, complemented
53C2×#14556098C2211yescharacteristic
54C2×#14556098C2211yescharacteristic
55C2×#14556098C2211yescharacteristic
56C2×#14556096C2211yescharacteristic
57C2×#14556096C2211yescharacteristic
58C2×#14556096C2211yescharacteristic, complemented
59C2×#14556096C2211yescharacteristic, complemented
60C2×C4×D284—28no—
61C2×C4×D284C2211yescharacteristic
62C2×C4×D284C2211yescharacteristic
63C2×C4×D284C2211yescharacteristic
64C2×C4×D284C2211yescharacteristic
65C2×C4×D284C2211yescharacteristic, complemented
66C2×C4×D284C2211yescharacteristic, complemented
67C2×C4×D284C2211yescharacteristic, complemented
68C2×C4×D284C2211yescharacteristic, complemented
69C2×C4×D284C2211yescharacteristic, complemented
70C2×C4×D284C2211yescharacteristic, complemented
71C2×D4×Dic71C2211yescharacteristic
72C2×#14556090C2211yescharacteristic, complemented
73C2×C4×C22⋊D71C2211yescharacteristic
74C2×C4×C22⋊D71C2211yescharacteristic, complemented
75C2×C4×C22⋊D71C2211yescharacteristic, complemented
76C2×C4×C22⋊D71C2211yescharacteristic, complemented
77C2×C4×C22⋊D71C2211yescharacteristic, complemented
78C2×C4×C22⋊D71C2211yescharacteristic, complemented
79C2×C4×C22⋊D71C2211yescharacteristic, complemented
80C2×(C22⋊D71)⋊C4C2211yescharacteristic
81C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
82C4×D4×D71—28no—
83C2×#14556085C2211yescharacteristic, complemented
84C2×#14556085C2211yescharacteristic, complemented
85C22×C4⋊Dic71C2211yescharacteristic, complemented
86C2×C4⋊C4×D71C2211yescharacteristic, complemented
87C22×(C2×D71)⋊C4C2211yescharacteristic
88C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
89C2×C22⋊C4×D71C2211yescharacteristic
90C2×C22⋊C4×D71C2211yescharacteristic, complemented
91C2×C42×D71C2211yescharacteristic, complemented
92#17985935C2211yescharacteristic, complemented
93#17985935C2211yescharacteristic, complemented
94#17985934C2211yescharacteristic, complemented
95#17985934C2211yescharacteristic, complemented
96#17985933C2211yescharacteristic, complemented
97#17985931C2211yescharacteristic, complemented
98#17985928C2211yescharacteristic, complemented
99#17985926C2211yescharacteristic, complemented
100#17985923C2211yescharacteristic, complemented
101#17985922C2211yescharacteristic, complemented
102#17985921C2211yescharacteristic, complemented
103#17985921C2211yescharacteristic, complemented
104#17985920C2211yescharacteristic, complemented
105#17985917C2211yescharacteristic, complemented
106#17985917C2211yescharacteristic, complemented
107#17985917C2211yescharacteristic, complemented
108#17985916C2211yescharacteristic, complemented
109#17985916C2211yescharacteristic, complemented
110#17985915C2211yescharacteristic, complemented
111#17985915C2211yescharacteristic, complemented
112#17985914C2211yescharacteristic, complemented
113#17985914C2211yescharacteristic, complemented
114#17985912C2211yescharacteristic, complemented
115#17985909C2211yescharacteristic
116#17985909C2211yescharacteristic
117#17985908C2211yescharacteristic
118#17985908C2211yescharacteristic
119#17985908C2211yescharacteristic, complemented
120#17985908C2211yescharacteristic, complemented
121#17985908C2211yescharacteristic, complemented
122#17985907C2211yescharacteristic, complemented
123#17985907C2211yescharacteristic, complemented
124#17985899C2211yescharacteristic, complemented
125#17985896C2211yescharacteristic, complemented
126#17985892C2211yescharacteristic, complemented
127#17985890C2211yescharacteristic, complemented
128#17985890C2211yescharacteristic, complemented
129#17985889C2211yescharacteristic, complemented
130#17985889C2211yescharacteristic, complemented
131#17985888C2211yescharacteristic, complemented
132#17985883C2211yescharacteristic, complemented
133#17985883C2211yescharacteristic, complemented
134#17985882C2211yescharacteristic, complemented
135#17985882C2211yescharacteristic, complemented
136#17985879C2211yescharacteristic
137#17985879C2211yescharacteristic, complemented
138#17985878C2211yescharacteristic
139#17985878C2211yescharacteristic
140#17985877C2211yescharacteristic
141#17985877C2211yescharacteristic
142#17985877C2211yescharacteristic
143#17985877C2211yescharacteristic
144#17985877C2211yescharacteristic, complemented
145#17985876C2211yescharacteristic, complemented
146#17985875C2211yescharacteristic, complemented
147#17985875C2211yescharacteristic, complemented
148#17985875C2211yescharacteristic, complemented
149#17985875C2211yescharacteristic, complemented
150#17985875C2211yescharacteristic, complemented
151#17985874C2211yescharacteristic, complemented
152#17985873C2211yescharacteristic, complemented
153#17985873C2211yescharacteristic, complemented
154#17985872C2211yescharacteristic, complemented
155#17985872C2211yescharacteristic, complemented
156#17985871C2211yescharacteristic, complemented
157#17985871C2211yescharacteristic, complemented
158#17985870C2211yescharacteristic, complemented
159#17985870C2211yescharacteristic, complemented
160#17985870C2211yescharacteristic, complemented
161#17985870C2211yescharacteristic, complemented
162#17985870C2211yescharacteristic, complemented
163#17985870C2211yescharacteristic, complemented
164#17985858C2211yescharacteristic, 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×#121×C71C2211yescharacteristic
177C2×C4×D4×C71C2211yescharacteristic
178C2×C4×D4×C71C2211yescharacteristic, complemented
179C2×C4×D4×C71C2211yescharacteristic, complemented
180C22×C42×C71C2211yescharacteristic, complemented
181#390×C71C2211yescharacteristic, complemented
182#389×C71C2211yescharacteristic, complemented
183#388×C71C2211yescharacteristic, complemented
184#388×C71C2211yescharacteristic, complemented
185#386×C71C2211yescharacteristic
186#386×C71C2211yescharacteristic, complemented
187#380×C71C2211yescharacteristic, complemented
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×D284—24no—
199C22×D284—24no—
200C22×D284—24no—
201C22×D284C2311yescharacteristic
202C22×D284C2311yescharacteristic
203C22×D284C2311yescharacteristic
204C22×D284C2311yescharacteristic
205C22×D284C2311yescharacteristic
206C22×D284C2311yescharacteristic
207C22×D284C2311yescharacteristic
208C22×C22⋊D71C2311yescharacteristic
209C22×C22⋊D71C2311yescharacteristic
210C22×C22⋊D71C2311yescharacteristic
211C22×C22⋊D71C2311yescharacteristic
212C22×C22⋊D71C2311yescharacteristic
213C22×C22⋊D71C2311yescharacteristic
214C22×C22⋊D71C2311yescharacteristic
215C22×C22⋊D71C2311yescharacteristic
216C22×C22⋊D71C2311yescharacteristic
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
245#14556113—24no—
246#14556113—24no—
247#14556110—24no—
248#14556110—24no—
249#14556106—24no—
250#14556106—24no—
251#14556105—24no—
252#14556105—24no—
253#14556101—24no—
254#14556101—24no—
255#14556101—24no—
256#14556100—24no—
257#14556100—24no—
258#14556098—24no—
259#14556098—24no—
260#14556098—24no—
261#14556096—24no—
262#14556096—24no—
263#14556096—24no—
264#14556096—24no—
265C4×D284—24no—
266C4×D284—24no—
267C4×D284—24no—
268C4×D284—24no—
269C4×D284—24no—
270C4×D284—24no—
271C4×D284—24no—
272C4×D284—24no—
273C4×D284—24no—
274C4×D284D418yescomplemented
275D4×Dic71—24no—
276#14556090—24no—
277C4×C22⋊D71—24no—
278C4×C22⋊D71—24no—
279C4×C22⋊D71—24no—
280C4×C22⋊D71—24no—
281C4×C22⋊D71—42no—
282C4×C22⋊D71—42no—
283C4×C22⋊D71D418yescomplemented
284(C22⋊D71)⋊C4—24no—
285(C22⋊D71)⋊C4—24no—
286#14556085—24no—
287#14556085—24no—
288C2×C4⋊Dic71—24no—
289C2×C4⋊Dic71C2311yescharacteristic
290C2×C4⋊Dic71C2311yescharacteristic
291C2×C4⋊Dic71C2311yescharacteristic
292C2×C4⋊Dic71C2311yescharacteristic
293C2×C4⋊Dic71C2311yescharacteristic
294C2×C4⋊Dic71C2311yescharacteristic
295C2×Dic71⋊C4C2311yescharacteristic
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
307C2×Dic71⋊C4C2311yescharacteristic
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)⋊C4—24no—
319C2×(C2×D71)⋊C4—24no—
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
349C2×(C2×D71)⋊C4C2311yescharacteristic
350C2×(C2×D71)⋊C4C2311yescharacteristic
351C2×(C2×D71)⋊C4C2311yescharacteristic
352C2×(C2×D71)⋊C4C2311yescharacteristic
353C22⋊C4×D71—24no—
354C22⋊C4×D71—24no—
355C2×C4×Dic71C2311yescharacteristic
356C2×C4×Dic71C2311yescharacteristic
357C2×C4×Dic71C2311yescharacteristic
358C2×C4×Dic71C2311yescharacteristic
359C2×C4×Dic71C2311yescharacteristic
360C42×D71—24no—
361C71⋊#95C2311yescharacteristic
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
379C22×D4×C71C2311yescharacteristic
380C22×D4×C71C2311yescharacteristic
381C22×D4×C71C2311yescharacteristic
382C23×C4×C71C2311yescharacteristic
383C23×C4×C71C2311yescharacteristic
384C23×C4×C71C2311yescharacteristic
385C23×C4×C71C2311yescharacteristic
386C23×C4×C71C2311yescharacteristic
387#121×C71—24no—
388C4×D4×C71—24no—
389C4×D4×C71—24no—
390C4×D4×C71—24no—
391C2×C4⋊C4×C71C2311yescharacteristic
392C2×C4⋊C4×C71C2311yescharacteristic
393C2×C4⋊C4×C71C2311yescharacteristic
394C2×C4⋊C4×C71C2311yescharacteristic
395C2×C4⋊C4×C71C2311yescharacteristic
396C2×C22⋊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×C42×C71—24no—
407C2×C42×C71C2311yescharacteristic
408C2×C42×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—232no—
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—22no—
466C2×D284—22no—
467C2×D284—41no—
468C2×D284—41no—
469C2×D284C2×D414yes—
470C2×D284#4114yescomplemented
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—22no—
490C2×C22⋊D71—41no—
491C2×C22⋊D71—41no—
492C2×C22⋊D71—41no—
493C2×C22⋊D71—41no—
494C2×C22⋊D71—41no—
495C2×C22⋊D71—41no—
496C2×C22⋊D71—41no—
497C2×C22⋊D71C2×D414yes—
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—416no—
549C2×C4×D71—416no—
550C2×C4×D71—416no—
551C2×C4×D71—41no—
552C2×C4×D71—41no—
553C2×C4×D71—41no—
554C2×C4×D71—41no—
555C2×C4×D71—41no—
556C2×C4×D71—41no—
557C2×C4×D71—41no—
558C2×C4×D71C2×D414yes—
559C2×C4×D71C2×D414yescomplemented
560C2×C4×D71C2×D414yescomplemented
561C4⋊Dic71—22no—
562C4⋊Dic71—22no—
563C4⋊Dic71—22no—
564C4⋊Dic71—22no—
565C4⋊Dic71—22no—
566C4⋊Dic71C2×D414yescomplemented
567Dic71⋊C4—22no—
568Dic71⋊C4—22no—
569Dic71⋊C4—22no—
570Dic71⋊C4—22no—
571Dic71⋊C4—22no—
572Dic71⋊C4—22no—
573Dic71⋊C4—22no—
574Dic71⋊C4—22no—
575Dic71⋊C4—22no—
576Dic71⋊C4—41no—
577Dic71⋊C4—41no—
578Dic71⋊C4—41no—
579Dic71⋊C4C2×D414yescomplemented
580C22⋊Dic71—22no—
581C22⋊Dic71—22no—
582C22⋊Dic71—22no—
583C22⋊Dic71—22no—
584C22⋊Dic71—22no—
585C22⋊Dic71—22no—
586C22⋊Dic71—41no—
587C22⋊Dic71—41no—
588C22⋊Dic71C2×D414yes—
589(C2×D71)⋊C4—22no—
590(C2×D71)⋊C4—22no—
591(C2×D71)⋊C4—22no—
592(C2×D71)⋊C4—22no—
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—41no—
615(C2×D71)⋊C4—41no—
616(C2×D71)⋊C4—41no—
617(C2×D71)⋊C4—41no—
618(C2×D71)⋊C4—41no—
619(C2×D71)⋊C4C2×D414yes—
620(C2×D71)⋊C4C2×D414yescomplemented
621(C2×D71)⋊C4C2×D414yescomplemented
622C4×Dic71—22no—
623C4×Dic71—22no—
624C4×Dic71—22no—
625C4×Dic71—22no—
626C4×Dic71C2×D414yescomplemented
627C24×C71C2411yescharacteristic
628C24×C71C2411yescharacteristic
629C24×C71C2411yescharacteristic
630C2×D4×C71—22no—
631C2×D4×C71—22no—
632C2×D4×C71—22no—
633C2×D4×C71—22no—
634C2×D4×C71—22no—
635C2×D4×C71—22no—
636C2×D4×C71—22no—
637C2×D4×C71—41no—
638C2×D4×C71#4114yescomplemented
639C22×C4×C71—22no—
640C22×C4×C71—22no—
641C22×C4×C71—22no—
642C22×C4×C71—22no—
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×C71—22no—
652C22×C4×C71—41no—
653C22×C4×C71C2×D414yes—
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
664C22×C4×C71C2411yescharacteristic
665C22×C4×C71C2411yescharacteristic
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—
681C42×C71—22no—
682C42×C71—22no—
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×C71C22×D412yes—
705C23×C71C2×#4112yes—
706C23×C71C2×#4112yes—
707C23×C71C2×#4112yes—
708C23×C71C2511yescharacteristic
709C22×D71—21no—
710C22×D71—21no—
711C22×D71—21no—
712C22×D71—21no—
713C22×D71—28no—
714C22×D71—28no—
715C22×D71—28no—
716C22×D71—21no—
717C22×D71—21no—
718C22×D71—21no—
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—21no—
732C22×D71—21no—
733C22×D71—21no—
734C22×D71—21no—
735C22×D71—21no—
736C22×D71—21no—
737C22×D71—21no—
738C22×D71—21no—
739C22×D71—21no—
740C22×D71—28no—
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×D71—44no—
758C22×D71C22×D412yes—
759C22×D71C22×D412yes—
760C22×D71C22×D412yes—
761C22×D71C2×#4112yes—
762C22×D71C2×#4112yes—
763C22×D71C2×#4112yes—
764C22×D71C2×#4112yes—
765D4×C71—28no—
766D4×C71—44no—
767D4×C71—44no—
768C2×C4×C71—28no—
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—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—28no—
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×C71—44no—
801C2×C4×C71C22×D412yes—
802C2×C4×C71C22×D412yes—
803C2×C4×C71C22×D412yes—
804C2×C4×C71C22×D412yes—
805C2×C4×C71C22×D412yes—
806C2×C4×C71C2×#4112yes—
807C2×C4×C71C2×#4112yes—
808C2×C4×C71H(5,𝔽2)12yes—
809C22⋊D71—28no—
810C22⋊D71—28no—
811C22⋊D71—44no—
812C22⋊D71—44no—
813C22⋊D71—44no—
814C22⋊D71—44no—
815C22⋊D71—44no—
816C22⋊D71—44no—
817C22⋊D71—44no—
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—21no—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—44no—
847C2×Dic71—44no—
848C2×Dic71—44no—
849C2×Dic71C22×D412yes—
850C2×Dic71C22×D412yes—
851C2×Dic71C22×D412yes—
852C2×Dic71C22×D412yes—
853C2×Dic71C22×D412yes—
854D284—28no—
855D284—28no—
856D284—28no—
857D284—28no—
858D284—28no—
859D284—44no—
860D284—44no—
861C4×D71—28no—
862C4×D71—28no—
863C4×D71—28no—
864C4×D71—28no—
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#52514yescomplemented
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—41no—
940C2×D71#52514yescomplemented
941C4×C71—22no—
942C4×C71—22no—
943C4×C71—22no—
944C4×C71—22no—
945C4×C71—22no—
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—41no—
959Dic71—41no—
960Dic71—41no—
961Dic71—41no—
962Dic71—41no—
963Dic71—41no—
964#34655—711nomaximal, Sylow
965C2×C71—24no—
966C2×C71—42no—
967C2×C71—81no—
968C2×C71C2×#52511yescharacteristic
969C2×C71C2×#52511yescharacteristic
970C2×C71#345911yescharacteristic
971C2×C71C2×D4211yescharacteristic
972C2×C71D4×#4111yescharacteristic
973C2×C71D4×#4111yescharacteristic
974C2×C71#348111yescharacteristic
975D71—24no—
976D71—42no—
977D71—42no—
978D71—42no—
979D71—42no—
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#2392—711no—
1003#2388—711no—
1004C4×#121—711no—
1005C4×#121D7111yescharacteristic, complemented
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×#121C2×D7111yescharacteristic
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
1065C2×C4×D4C2×D7111yescharacteristic, complemented
1066C2×C4×D4C2×D7111yescharacteristic, complemented
1067C2×#117—711no—
1068C2×#117—711no—
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×C42C2×D7111yescharacteristic, complemented
1077#399—711no—
1078#399—711no—
1079#399—711no—
1080#399—711no—
1081#398—711no—
1082#398—711no—
1083#397—711no—
1084#397—711no—
1085#396—711no—
1086#396—711no—
1087#396—711no—
1088#396—711no—
1089#395—711no—
1090#394—711no—
1091#394—711no—
1092#394—711no—
1093#394—711no—
1094#394—711no—
1095#394—711no—
1096#394—711no—
1097#394—711no—
1098#394—711no—
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#392—711no—
1109#390—711no—
1110#390C2×D7111yescharacteristic, complemented
1111#389—711no—
1112#389C2×D7111yescharacteristic, complemented
1113#388—711no—
1114#388—711no—
1115#388—711no—
1116#388—711no—
1117#388—711no—
1118#388—711no—
1119#388C2×D7111yescharacteristic, complemented
1120#388C2×D7111yescharacteristic, complemented
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#386C2×D7111yescharacteristic
1141#386C2×D7111yescharacteristic, complemented
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#380C2×D7111yescharacteristic, complemented
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—1424no—
1223C23×C4—1424no—
1224C23×C4—1424no—
1225C23×C4—1424no—
1226C23×C4—1424no—
1227C23×C4—1424no—
1228C23×C4C22×D7111yescharacteristic
1229C23×C4C22×D7111yescharacteristic
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—24no—
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—1424no—
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—711no—
1298C2×C4⋊C4—711no—
1299C2×C4⋊C4—1424no—
1300C2×C4⋊C4—1424no—
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—711no—
1347C2×C22⋊C4—711no—
1348C2×C22⋊C4—1424no—
1349C2×C22⋊C4—1424no—
1350C2×C22⋊C4—1424no—
1351C2×C22⋊C4—1424no—
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—24no—
1363C2×C42—711no—
1364C2×C42—711no—
1365C2×C42—711no—
1366C2×C42—711no—
1367C2×C42—711no—
1368C2×C42—1424no—
1369C2×C42C22×D7111yescharacteristic
1370C2×C42C22×D7111yescharacteristic
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—41no—
1440C2×D4—2841no—
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—714no—
1450C2×D4—714no—
1451C2×D4—714no—
1452C2×D4—1422no—
1453C2×D4—1422no—
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—14232no—
1467C2×D4—1422no—
1468C2×D4—1422no—
1469C2×D4—1422no—
1470C2×D4—1422no—
1471C2×D4—14232no—
1472C2×D4—1422no—
1473C2×D4—1422no—
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#1176586514yescomplemented
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—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—41no—
1505C22×C4—28416no—
1506C22×C4—28416no—
1507C22×C4—2841no—
1508C22×C4—2841no—
1509C22×C4—2841no—
1510C22×C4—2841no—
1511C22×C4—2841no—
1512C22×C4—2841no—
1513C22×C4—2841no—
1514C22×C4—28416no—
1515C22×C4—2841no—
1516C22×C4—2841no—
1517C22×C4—2841no—
1518C22×C4—711no—
1519C22×C4—711no—
1520C22×C4—711no—
1521C22×C4—711no—
1522C22×C4—711no—
1523C22×C4—714no—
1524C22×C4—714no—
1525C22×C4—714no—
1526C22×C4—711no—
1527C22×C4—711no—
1528C22×C4—711no—
1529C22×C4—711no—
1530C22×C4—711no—
1531C22×C4—711no—
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×D7114yes—
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—41no—
1585C4⋊C4—2841no—
1586C4⋊C4—2841no—
1587C4⋊C4—2841no—
1588C4⋊C4—714no—
1589C4⋊C4—714no—
1590C4⋊C4—1422no—
1591C4⋊C4—1422no—
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—2841no—
1615C22⋊C4—2841no—
1616C22⋊C4—2841no—
1617C22⋊C4—2841no—
1618C22⋊C4—2841no—
1619C22⋊C4—2841no—
1620C22⋊C4—2841no—
1621C22⋊C4—714no—
1622C22⋊C4—714no—
1623C22⋊C4—714no—
1624C22⋊C4—714no—
1625C22⋊C4—1422no—
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—22no—
1660C42—22no—
1661C42—714no—
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—2844no—
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—712no—
1702C23—712no—
1703C23—712no—
1704C23—712no—
1705C23—712no—
1706C23—712no—
1707C23—712no—
1708C23—1428no—
1709C23—1428no—
1710C23—1428no—
1711C23—1421no—
1712C23—1421no—
1713C23—1421no—
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—1428no—
1736C23—1421no—
1737C23—1421no—
1738C23—1421no—
1739C23—1421no—
1740C23C2×D4×D7112yes—
1741C23#41×D7112yes—
1742C23C2×#1176586512yes—
1743C23C2×#1176586512yes—
1744C23C24×D7111yescharacteristic
1745Q8—2844no—
1746D4—28no—
1747D4—44no—
1748D4—44no—
1749D4—2844no—
1750D4—2844no—
1751D4—2844no—
1752D4—2844no—
1753D4—2844no—
1754D4—2844no—
1755D4—2844no—
1756D4—2844no—
1757D4—2844no—
1758D4—1428no—
1759D4—1428no—
1760D4—1428no—
1761D4—1428no—
1762D4—1428no—
1763D4—1428no—
1764D4—1428no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—28no—
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—44no—
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—1428no—
1816C2×C4—1421no—
1817C2×C4—1421no—
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—1428no—
1845C2×C4—1428no—
1846C2×C4—1428no—
1847C2×C4C2×D4×D7112yes—
1848C2×C4C2×D4×D7112yes—
1849C2×C4C2×D4×D7112yes—
1850C2×C4C2×D4×D7112yes—
1851C2×C4C2×D4×D7112yes—
1852C2×C4#41×D7112yes—
1853C2×C4C2×#1176586512yes—
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—28416no—
1876C22—28416no—
1877C22—28416no—
1878C22—2841no—
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—1422no—
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#1798650814yescomplemented
1914C22C22×D4×D7111yescharacteristic
1915C22C22×D4×D7111yescharacteristic
1916C22C2×#41×D7111yescharacteristic
1917C22C2×#41×D7111yescharacteristic
1918C22C22×#1176586511yescharacteristic
1919C22C2×#1455617411yescharacteristic
1920C22#1798683511yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—2841no—
1933C4—2841no—
1934C4—2841no—
1935C4—2841no—
1936C4—2841no—
1937C4—2841no—
1938C4—1422no—
1939C4—1422no—
1940C4—1422no—
1941C4—1422no—
1942C4—1422no—
1943C4#1798663314yes—
1944C2—24no—
1945C2—42no—
1946C2—81no—
1947C2—2842no—
1948C2—2842no—
1949C2—2842no—
1950C2—2842no—
1951C2—1424no—
1952C2#525×D7111yescharacteristic
1953C2C2×#1798650811yescharacteristic
1954C2#2260175011yescharacteristic
1955C2C2×#1798663311yescharacteristic
1956C2#2260182611yescharacteristic
1957C2D4×#1176586511yescharacteristic
1958C2#2260195011yescharacteristic
subgroupG/H
centerC22×C4C23×D71
commutator, socle, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC4×#121×C71C2
hypercenterC4×#121D71
hypocenterC71#34655
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#17986508C2semidirect
2. C2×#17986508C2semidirect
3. C22×C4×D284C2semidirect
4. C2×C4×D4×D71C2semidirect
5. #22592334C2semidirect
6. #22592238C2semidirect
7. #22592231C2semidirect
8. #22592224C2semidirect
9. #22592156C2semidirect
10. #22592155C2semidirect
11. #22592082C2semidirect
12. #22592081C2semidirect
13. #22592008C2semidirect
14. #22591883C2semidirect
15. #22591882C2semidirect
16. #22591809C2semidirect
17. #22591808C2semidirect
18. #22591717C2semidirect
19. #22591711C2semidirect
20. #22591652C2semidirect
21. #22591619C2semidirect
22. #22591584C2semidirect
23. #22591580C2semidirect
24. #22591556C2semidirect
25. C4×#14556101C2semidirect
26. C4×#14556098C2semidirect
27. C4×#14556096C2semidirect
28. C4×#14556096C2semidirect
29. #22590783C2semidirect
30. #22590781C2semidirect
31. C4×#121×C71C2semidirect
32. C22×#11765865C22semidirect
36. C23×C4×D71C22semidirect
37. C23×C4×D71C22semidirect
40. C2×#14556113C22semidirect
41. C2×#14556113C22semidirect
42. C2×#14556110C22semidirect
43. C2×#14556110C22semidirect
44. C2×#14556106C22semidirect
45. C2×#14556106C22semidirect
46. C2×#14556105C22semidirect
47. C2×#14556105C22semidirect
50. C2×#14556101C22semidirect
52. C2×#14556100C22semidirect
58. C2×#14556096C22semidirect
59. C2×#14556096C22semidirect
65. C2×C4×D284C22semidirect
66. C2×C4×D284C22semidirect
67. C2×C4×D284C22semidirect
68. C2×C4×D284C22semidirect
69. C2×C4×D284C22semidirect
70. C2×C4×D284C22semidirect
72. C2×#14556090C22semidirect
74. C2×C4×C22⋊D71C22semidirect
75. C2×C4×C22⋊D71C22semidirect
76. C2×C4×C22⋊D71C22semidirect
77. C2×C4×C22⋊D71C22semidirect
78. C2×C4×C22⋊D71C22semidirect
79. C2×C4×C22⋊D71C22semidirect
81. C2×(C22⋊D71)⋊C4C22semidirect
83. C2×#14556085C22semidirect
84. C2×#14556085C22semidirect
85. C22×C4⋊Dic71C22semidirect
86. C2×C4⋊C4×D71C22semidirect
88. C22×(C2×D71)⋊C4C22semidirect
90. C2×C22⋊C4×D71C22semidirect
91. C2×C42×D71C22semidirect
92. #17985935C22semidirect
93. #17985935C22semidirect
94. #17985934C22semidirect
95. #17985934C22semidirect
96. #17985933C22semidirect
97. #17985931C22semidirect
98. #17985928C22semidirect
99. #17985926C22semidirect
100. #17985923C22semidirect
101. #17985922C22semidirect
102. #17985921C22semidirect
103. #17985921C22semidirect
104. #17985920C22semidirect
105. #17985917C22semidirect
106. #17985917C22semidirect
107. #17985917C22semidirect
108. #17985916C22semidirect
109. #17985916C22semidirect
110. #17985915C22semidirect
111. #17985915C22semidirect
112. #17985914C22semidirect
113. #17985914C22semidirect
114. #17985912C22semidirect
119. #17985908C22semidirect
120. #17985908C22semidirect
121. #17985908C22semidirect
122. #17985907C22semidirect
123. #17985907C22semidirect
124. #17985899C22semidirect
125. #17985896C22semidirect
126. #17985892C22semidirect
127. #17985890C22semidirect
128. #17985890C22semidirect
129. #17985889C22semidirect
130. #17985889C22semidirect
131. #17985888C22semidirect
132. #17985883C22semidirect
133. #17985883C22semidirect
134. #17985882C22semidirect
135. #17985882C22semidirect
137. #17985879C22semidirect
144. #17985877C22semidirect
145. #17985876C22semidirect
146. #17985875C22semidirect
147. #17985875C22semidirect
148. #17985875C22semidirect
149. #17985875C22semidirect
150. #17985875C22semidirect
151. #17985874C22semidirect
152. #17985873C22semidirect
153. #17985873C22semidirect
154. #17985872C22semidirect
155. #17985872C22semidirect
156. #17985871C22semidirect
157. #17985871C22semidirect
158. #17985870C22semidirect
159. #17985870C22semidirect
160. #17985870C22semidirect
161. #17985870C22semidirect
162. #17985870C22semidirect
163. #17985870C22semidirect
164. #17985858C22semidirect
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
178. C2×C4×D4×C71C22semidirect
179. C2×C4×D4×C71C22semidirect
180. C22×C42×C71C22semidirect
181. #390×C71C22semidirect
182. #389×C71C22semidirect
183. #388×C71C22semidirect
184. #388×C71C22semidirect
186. #386×C71C22semidirect
187. #380×C71C22semidirect
188. C4×C4⋊C4×C71C22semidirect
189. C4×C22⋊C4×C71C22semidirect
190. C4×C22⋊C4×C71C22semidirect
274. C4×D284D4semidirect
283. C4×C22⋊D71D4semidirect
439. C23×D71#41semidirect
470. C2×D284#41semidirect
559. C2×C4×D71C2×D4semidirect
560. C2×C4×D71C2×D4semidirect
566. C4⋊Dic71C2×D4semidirect
579. Dic71⋊C4C2×D4semidirect
620. (C2×D71)⋊C4C2×D4semidirect
621. (C2×D71)⋊C4C2×D4semidirect
626. C4×Dic71C2×D4semidirect
638. C2×D4×C71#41semidirect
686. C42×C71C2×D4semidirect
895. C22×C71#525semidirect
940. C2×D71#525semidirect
1005. C4×#121D71semidirect
1011. C71#34655semidirect
1065. C2×C4×D4C2×D71semidirect
1066. C2×C4×D4C2×D71semidirect
1076. C22×C42C2×D71semidirect
1110. #390C2×D71semidirect
1112. #389C2×D71semidirect
1119. #388C2×D71semidirect
1120. #388C2×D71semidirect
1141. #386C2×D71semidirect
1156. #380C2×D71semidirect
1161. C4×C4⋊C4C2×D71semidirect
1168. C4×C22⋊C4C2×D71semidirect
1169. C4×C22⋊C4C2×D71semidirect
1490. C2×D4#11765865semidirect
1666. C42D4×D71semidirect
1913. C22#17986508semidirect

Maximal subgroups

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

subgroupindex
C2×#179865082
C22×C4×D2842
C2×C4×D4×D712
#225923342
#225922382
#225922312
#225922242
#225921562
#225921552
#225920822
#225920812
#225920082
#225918832
#225918822
#225918092
#225918082
#225917172
#225917112
#225916522
#225916192
#225915842
#225915802
#225915562
C4×#145561012
C4×#145560982
C4×#145560962
#225907832
#225907812
C4×#121×C712
#3465571