Finite Group Databasebeta

← #2424×D71 #32164914

Subgroups — #2424×D71 #32164914

Order 18176.

5898 conjugacy classes of subgroups.

The subgroup lattice has 2356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D71C211yesmaximal, characteristic, complemented
2C2×#121×D71C211yesmaximal, characteristic, complemented
3C2×#120×D71C211yesmaximal, characteristic, complemented
4C2×#120×D71C211yesmaximal, characteristic, complemented
5C2×C4×D4×D71C211yesmaximal, characteristic, complemented
6C22×C22⋊C4×D71C211yesmaximal, characteristic, complemented
7#22591883C211yesmaximal, characteristic, complemented
8#22591882C211yesmaximal, characteristic, complemented
9#22591881C211yesmaximal, characteristic, complemented
10#22591880C211yesmaximal, characteristic, complemented
11#22591879C211yesmaximal, characteristic, complemented
12#22591878C211yesmaximal, characteristic, complemented
13#22591877C211yesmaximal, characteristic, complemented
14#22591876C211yesmaximal, characteristic, complemented
15#22591875C211yesmaximal, characteristic, complemented
16#22591874C211yesmaximal, characteristic, complemented
17#22591873C211yesmaximal, characteristic, complemented
18#22591872C211yesmaximal, characteristic, complemented
19#22591871C211yesmaximal, characteristic, complemented
20#22591870C211yesmaximal, characteristic, complemented
21#22591869C211yesmaximal, characteristic, complemented
22#396×D71C211yesmaximal, characteristic, complemented
23#394×D71C211yesmaximal, characteristic, complemented
24#394×D71C211yesmaximal, characteristic, complemented
25#392×D71C211yesmaximal, characteristic, complemented
26#390×D71C211yesmaximal, characteristic, complemented
27#388×D71C211yesmaximal, characteristic, complemented
28#386×D71C211yesmaximal, characteristic, complemented
29#386×D71C211yesmaximal, characteristic, complemented
30#385×D71C211yesmaximal, characteristic, complemented
31C71×#2424C211yesmaximal, characteristic, complemented
32C25×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C22×D4×D71C2211yescharacteristic
36C22×D4×D71C2211yescharacteristic
37C22×D4×D71C2211yescharacteristic
38C22×D4×D71C2211yescharacteristic
39C22×D4×D71C2211yescharacteristic, complemented
40C23×C4×D71C2211yescharacteristic
41C23×C4×D71C2211yescharacteristic
42C23×C4×D71C2211yescharacteristic, complemented
43C2×#14556103C2211yescharacteristic, complemented
44C2×#14556103C2211yescharacteristic, complemented
45C2×#14556102C2211yescharacteristic, complemented
46C2×#14556102C2211yescharacteristic, complemented
47C2×#14556101C2211yescharacteristic, complemented
48C2×#14556101C2211yescharacteristic, complemented
49C2×#14556101C2211yescharacteristic, complemented
50C2×#14556101C2211yescharacteristic, complemented
51C2×#14556100C2211yescharacteristic, complemented
52C2×#14556100C2211yescharacteristic, complemented
53C2×#14556100C2211yescharacteristic, complemented
54C2×#14556100C2211yescharacteristic, complemented
55C2×#14556099C2211yescharacteristic, complemented
56C2×#14556099C2211yescharacteristic, complemented
57#121×D71—28no—
58#121×D71—28no—
59C2×#14556098C2211yescharacteristic, complemented
60C2×#14556098C2211yescharacteristic, complemented
61C2×#14556098C2211yescharacteristic, complemented
62C2×#14556098C2211yescharacteristic, complemented
63C2×#14556098C2211yescharacteristic, complemented
64C2×#14556098C2211yescharacteristic, complemented
65C2×#14556097C2211yescharacteristic, complemented
66C2×#14556097C2211yescharacteristic, complemented
67C2×#14556096C2211yescharacteristic, complemented
68C2×#14556096C2211yescharacteristic, complemented
69C2×#14556096C2211yescharacteristic, complemented
70C2×#14556096C2211yescharacteristic, complemented
71C2×#14556096C2211yescharacteristic, complemented
72C2×#14556096C2211yescharacteristic, complemented
73#120×D71—28no—
74#120×D71—28no—
75C2×C4×D284C2211yescharacteristic, complemented
76C2×D4×Dic71C2211yescharacteristic, complemented
77C2×#14556090C2211yescharacteristic, complemented
78C2×C4×C22⋊D71C2211yescharacteristic, complemented
79C2×C4×C22⋊D71C2211yescharacteristic, complemented
80C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
81C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
82C4×D4×D71—28no—
83C2×C4⋊C4×D71C2211yescharacteristic, complemented
84C2×C4⋊C4×D71C2211yescharacteristic, complemented
85C2×C4⋊C4×D71C2211yescharacteristic, complemented
86C2×C4⋊C4×D71C2211yescharacteristic, complemented
87C22×C22⋊Dic71C2211yescharacteristic, complemented
88C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
89C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
90C2×C22⋊C4×D71—28no—
91C2×C22⋊C4×D71C2211yescharacteristic
92C2×C22⋊C4×D71C2211yescharacteristic
93C2×C22⋊C4×D71C2211yescharacteristic
94C2×C22⋊C4×D71C2211yescharacteristic
95C2×C22⋊C4×D71C2211yescharacteristic
96C2×C22⋊C4×D71C2211yescharacteristic
97C2×C22⋊C4×D71C2211yescharacteristic
98C2×C22⋊C4×D71C2211yescharacteristic
99C2×C22⋊C4×D71C2211yescharacteristic
100C2×C22⋊C4×D71C2211yescharacteristic
101C2×C22⋊C4×D71C2211yescharacteristic, complemented
102C2×C22⋊C4×D71C2211yescharacteristic, complemented
103C2×C22⋊C4×D71C2211yescharacteristic, complemented
104C2×C22⋊C4×D71C2211yescharacteristic, complemented
105C2×C22⋊C4×D71C2211yescharacteristic, complemented
106C2×C22⋊C4×D71C2211yescharacteristic, complemented
107C2×C22⋊C4×D71C2211yescharacteristic, complemented
108C2×C22⋊C4×D71C2211yescharacteristic, complemented
109C2×C22⋊C4×D71C2211yescharacteristic, complemented
110C2×C42×D71C2211yescharacteristic, complemented
111#17985923C2211yescharacteristic, complemented
112#17985922C2211yescharacteristic, complemented
113#17985922C2211yescharacteristic, complemented
114#17985922C2211yescharacteristic, complemented
115#17985921C2211yescharacteristic, complemented
116#17985921C2211yescharacteristic, complemented
117#17985921C2211yescharacteristic, complemented
118#17985917C2211yescharacteristic, complemented
119#17985917C2211yescharacteristic, complemented
120#17985916C2211yescharacteristic, complemented
121#17985916C2211yescharacteristic, complemented
122#17985915C2211yescharacteristic, complemented
123#17985915C2211yescharacteristic, complemented
124#17985915C2211yescharacteristic, complemented
125#17985915C2211yescharacteristic, complemented
126#17985914C2211yescharacteristic, complemented
127#17985914C2211yescharacteristic, complemented
128#17985914C2211yescharacteristic, complemented
129#17985914C2211yescharacteristic, complemented
130#17985913C2211yescharacteristic, complemented
131#17985913C2211yescharacteristic, complemented
132#17985909C2211yescharacteristic, complemented
133#17985908C2211yescharacteristic, complemented
134#17985908C2211yescharacteristic, complemented
135#17985908C2211yescharacteristic, complemented
136#17985907C2211yescharacteristic, complemented
137#17985907C2211yescharacteristic, complemented
138#17985907C2211yescharacteristic, complemented
139#17985902C2211yescharacteristic, complemented
140#17985901C2211yescharacteristic, complemented
141#17985900C2211yescharacteristic, complemented
142#17985899C2211yescharacteristic, complemented
143#17985899C2211yescharacteristic, complemented
144#17985899C2211yescharacteristic, complemented
145#17985899C2211yescharacteristic, complemented
146#17985893C2211yescharacteristic, complemented
147#17985892C2211yescharacteristic, complemented
148#17985891C2211yescharacteristic, complemented
149#17985890C2211yescharacteristic, complemented
150#17985889C2211yescharacteristic, complemented
151#17985888C2211yescharacteristic, complemented
152#17985887C2211yescharacteristic, complemented
153#17985879C2211yescharacteristic, complemented
154#17985879C2211yescharacteristic, complemented
155#17985878C2211yescharacteristic, complemented
156#17985878C2211yescharacteristic, complemented
157#17985877C2211yescharacteristic, complemented
158#17985877C2211yescharacteristic, complemented
159#17985877C2211yescharacteristic, complemented
160#17985877C2211yescharacteristic, complemented
161#17985876C2211yescharacteristic, complemented
162#17985876C2211yescharacteristic, complemented
163#17985875C2211yescharacteristic, complemented
164#17985875C2211yescharacteristic, complemented
165#17985875C2211yescharacteristic, complemented
166#17985875C2211yescharacteristic, complemented
167#17985874C2211yescharacteristic, complemented
168#17985873C2211yescharacteristic, complemented
169#17985873C2211yescharacteristic, complemented
170#17985872C2211yescharacteristic, complemented
171#17985871C2211yescharacteristic, complemented
172#17985870C2211yescharacteristic, complemented
173#17985870C2211yescharacteristic, complemented
174#95×D71C2211yescharacteristic, complemented
175#95×D71C2211yescharacteristic, complemented
176#95×D71C2211yescharacteristic, complemented
177#95×D71C2211yescharacteristic, complemented
178C2×#121×C71C2211yescharacteristic, complemented
179C2×#121×C71C2211yescharacteristic, complemented
180C2×#120×C71C2211yescharacteristic, complemented
181C2×#120×C71C2211yescharacteristic, complemented
182C2×C4×D4×C71C2211yescharacteristic, complemented
183C22×C22⋊C4×C71C2211yescharacteristic, complemented
184#396×C71C2211yescharacteristic, complemented
185#394×C71C2211yescharacteristic, complemented
186#394×C71C2211yescharacteristic, complemented
187#392×C71C2211yescharacteristic, complemented
188#390×C71C2211yescharacteristic, complemented
189#388×C71C2211yescharacteristic, complemented
190#386×C71C2211yescharacteristic, complemented
191#386×C71C2211yescharacteristic, complemented
192#385×C71C2211yescharacteristic, complemented
193C24×D71—24no—
194C24×D71—24no—
195C24×D71—24no—
196C24×D71—24no—
197C24×D71—24no—
198C24×D71—42no—
199C24×D71—42no—
200C24×D71C2311yescharacteristic
201C24×D71C2311yescharacteristic
202C24×D71C2311yescharacteristic
203C24×D71C2311yescharacteristic
204C24×D71C2311yescharacteristic
205C24×D71C2311yescharacteristic
206C24×D71C2311yescharacteristic
207C24×D71C2311yescharacteristic
208C22×D284C2311yescharacteristic
209C22×D284C2311yescharacteristic
210C22×D284C2311yescharacteristic
211C22×D284C2311yescharacteristic
212C22×D284C2311yescharacteristic
213C22×D284C2311yescharacteristic
214C22×D284C2311yescharacteristic, complemented
215C22×C22⋊D71C2311yescharacteristic
216C22×C22⋊D71C2311yescharacteristic
217C22×C22⋊D71C2311yescharacteristic
218C22×C22⋊D71C2311yescharacteristic
219C22×C22⋊D71C2311yescharacteristic
220C22×C22⋊D71C2311yescharacteristic
221C22×C22⋊D71C2311yescharacteristic
222C22×C22⋊D71C2311yescharacteristic
223C22×C22⋊D71C2311yescharacteristic
224C22×C22⋊D71C2311yescharacteristic
225C22×C22⋊D71C2311yescharacteristic
226C22×C22⋊D71C2311yescharacteristic
227C22×C22⋊D71C2311yescharacteristic, complemented
228C22×C22⋊D71C2311yescharacteristic, complemented
229C2×D4×D71—24no—
230C2×D4×D71—24no—
231C2×D4×D71—24no—
232C2×D4×D71—24no—
233C2×D4×D71—24no—
234C2×D4×D71—24no—
235C2×D4×D71—24no—
236C2×D4×D71—24no—
237C2×D4×D71—24no—
238C2×D4×D71—24no—
239C2×D4×D71—24no—
240C2×D4×D71—24no—
241C2×D4×D71—24no—
242C2×D4×D71—24no—
243C2×D4×D71—24no—
244C2×D4×D71—42no—
245C2×D4×D71—42no—
246C2×D4×D71—42no—
247C2×D4×D71—42no—
248C2×D4×D71—42no—
249C2×D4×D71D418yescomplemented
250C23×Dic71C2311yescharacteristic
251C23×Dic71C2311yescharacteristic
252C23×Dic71C2311yescharacteristic, complemented
253C22×C4×D71—24no—
254C22×C4×D71—24no—
255C22×C4×D71—24no—
256C22×C4×D71—24no—
257C22×C4×D71—24no—
258C22×C4×D71—24no—
259C22×C4×D71—42no—
260C22×C4×D71—42no—
261C22×C4×D71—42no—
262C22×C4×D71C2311yescharacteristic
263C22×C4×D71C2311yescharacteristic
264C22×C4×D71C2311yescharacteristic
265C22×C4×D71C2311yescharacteristic
266C22×C4×D71C2311yescharacteristic
267C22×C4×D71C2311yescharacteristic
268C22×C4×D71C2311yescharacteristic
269C22×C4×D71C2311yescharacteristic
270C22×C4×D71C2311yescharacteristic
271C22×C4×D71C2311yescharacteristic
272C22×C4×D71C2311yescharacteristic
273C22×C4×D71C2311yescharacteristic
274C22×C4×D71C2311yescharacteristic
275C22×C4×D71C2311yescharacteristic
276C22×C4×D71C2311yescharacteristic, complemented
277C22×C4×D71C2311yescharacteristic, complemented
278#14556103—24no—
279#14556103—24no—
280#14556102—24no—
281#14556102—24no—
282#14556101—24no—
283#14556101—24no—
284#14556101—24no—
285#14556101—24no—
286#14556100—24no—
287#14556100—24no—
288#14556100—24no—
289#14556100—24no—
290#14556099—24no—
291#14556099—24no—
292#14556098—24no—
293#14556098—24no—
294#14556098—24no—
295#14556098—24no—
296#14556098—24no—
297#14556098—24no—
298#14556097—24no—
299#14556097—24no—
300#14556096—24no—
301#14556096—24no—
302#14556096—24no—
303#14556096—24no—
304#14556096—24no—
305#14556096—24no—
306C4×D284—24no—
307D4×Dic71—24no—
308#14556090—24no—
309C4×C22⋊D71—24no—
310C4×C22⋊D71—24no—
311(C22⋊D71)⋊C4—24no—
312(C22⋊D71)⋊C4—24no—
313C2×C4⋊Dic71C2311yescharacteristic, complemented
314C2×C4⋊Dic71C2311yescharacteristic, complemented
315C2×C4⋊Dic71C2311yescharacteristic, complemented
316C2×C4⋊Dic71C2311yescharacteristic, complemented
317C2×Dic71⋊C4C2311yescharacteristic, complemented
318C2×Dic71⋊C4C2311yescharacteristic, complemented
319C2×Dic71⋊C4C2311yescharacteristic, complemented
320C2×Dic71⋊C4C2311yescharacteristic, complemented
321C2×Dic71⋊C4C2311yescharacteristic, complemented
322C2×Dic71⋊C4C2311yescharacteristic, complemented
323C2×Dic71⋊C4C2311yescharacteristic, complemented
324C2×Dic71⋊C4C2311yescharacteristic, complemented
325C4⋊C4×D71—24no—
326C4⋊C4×D71—24no—
327C4⋊C4×D71—24no—
328C4⋊C4×D71—42no—
329C2×C22⋊Dic71—24no—
330C2×C22⋊Dic71C2311yescharacteristic
331C2×C22⋊Dic71C2311yescharacteristic
332C2×C22⋊Dic71C2311yescharacteristic
333C2×C22⋊Dic71C2311yescharacteristic
334C2×C22⋊Dic71C2311yescharacteristic
335C2×C22⋊Dic71C2311yescharacteristic
336C2×C22⋊Dic71C2311yescharacteristic
337C2×C22⋊Dic71C2311yescharacteristic
338C2×C22⋊Dic71C2311yescharacteristic
339C2×C22⋊Dic71C2311yescharacteristic
340C2×C22⋊Dic71C2311yescharacteristic, complemented
341C2×C22⋊Dic71C2311yescharacteristic, complemented
342C2×C22⋊Dic71C2311yescharacteristic, complemented
343C2×C22⋊Dic71C2311yescharacteristic, complemented
344C2×C22⋊Dic71C2311yescharacteristic, complemented
345C2×(C2×D71)⋊C4—24no—
346C2×(C2×D71)⋊C4—24no—
347C2×(C2×D71)⋊C4C2311yescharacteristic
348C2×(C2×D71)⋊C4C2311yescharacteristic
349C2×(C2×D71)⋊C4C2311yescharacteristic
350C2×(C2×D71)⋊C4C2311yescharacteristic
351C2×(C2×D71)⋊C4C2311yescharacteristic
352C2×(C2×D71)⋊C4C2311yescharacteristic
353C2×(C2×D71)⋊C4C2311yescharacteristic
354C2×(C2×D71)⋊C4C2311yescharacteristic
355C2×(C2×D71)⋊C4C2311yescharacteristic
356C2×(C2×D71)⋊C4C2311yescharacteristic
357C2×(C2×D71)⋊C4C2311yescharacteristic
358C2×(C2×D71)⋊C4C2311yescharacteristic
359C2×(C2×D71)⋊C4C2311yescharacteristic
360C2×(C2×D71)⋊C4C2311yescharacteristic
361C2×(C2×D71)⋊C4C2311yescharacteristic
362C2×(C2×D71)⋊C4C2311yescharacteristic
363C2×(C2×D71)⋊C4C2311yescharacteristic
364C2×(C2×D71)⋊C4C2311yescharacteristic
365C2×(C2×D71)⋊C4C2311yescharacteristic
366C2×(C2×D71)⋊C4C2311yescharacteristic
367C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
368C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
369C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
370C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
371C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
372C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
373C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
374C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
375C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
376C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
377C22⋊C4×D71—24no—
378C22⋊C4×D71—24no—
379C22⋊C4×D71—24no—
380C22⋊C4×D71—24no—
381C22⋊C4×D71—24no—
382C22⋊C4×D71—24no—
383C22⋊C4×D71—24no—
384C22⋊C4×D71—24no—
385C22⋊C4×D71—24no—
386C22⋊C4×D71—24no—
387C22⋊C4×D71—24no—
388C22⋊C4×D71—24no—
389C22⋊C4×D71—24no—
390C22⋊C4×D71—24no—
391C22⋊C4×D71—24no—
392C22⋊C4×D71—24no—
393C22⋊C4×D71—42no—
394C22⋊C4×D71D418yescomplemented
395C22⋊C4×D71D418yescomplemented
396C2×C4×Dic71C2311yescharacteristic, complemented
397C2×C4×Dic71C2311yescharacteristic, complemented
398C2×C4×Dic71C2311yescharacteristic, complemented
399C42×D71—24no—
400C71⋊#95C2311yescharacteristic, complemented
401C71⋊#95C2311yescharacteristic, complemented
402C71⋊#95C2311yescharacteristic, complemented
403C71⋊#95C2311yescharacteristic, complemented
404C71⋊#95C2311yescharacteristic, complemented
405C71⋊#95C2311yescharacteristic, complemented
406C71⋊#95C2311yescharacteristic, complemented
407C71⋊#95C2311yescharacteristic, complemented
408C71⋊#95C2311yescharacteristic, complemented
409C71⋊#95C2311yescharacteristic, complemented
410C71⋊#95C2311yescharacteristic, complemented
411C71⋊#95C2311yescharacteristic, complemented
412C25×C71C2311yescharacteristic
413C22×D4×C71C2311yescharacteristic
414C22×D4×C71C2311yescharacteristic
415C22×D4×C71C2311yescharacteristic
416C22×D4×C71C2311yescharacteristic
417C22×D4×C71C2311yescharacteristic
418C22×D4×C71C2311yescharacteristic
419C22×D4×C71C2311yescharacteristic, complemented
420C23×C4×C71C2311yescharacteristic
421C23×C4×C71C2311yescharacteristic
422C23×C4×C71C2311yescharacteristic, complemented
423#121×C71—24no—
424#121×C71—24no—
425#120×C71—24no—
426#120×C71—24no—
427C4×D4×C71—24no—
428C2×C4⋊C4×C71C2311yescharacteristic, complemented
429C2×C4⋊C4×C71C2311yescharacteristic, complemented
430C2×C4⋊C4×C71C2311yescharacteristic, complemented
431C2×C4⋊C4×C71C2311yescharacteristic, complemented
432C2×C22⋊C4×C71—24no—
433C2×C22⋊C4×C71C2311yescharacteristic
434C2×C22⋊C4×C71C2311yescharacteristic
435C2×C22⋊C4×C71C2311yescharacteristic
436C2×C22⋊C4×C71C2311yescharacteristic
437C2×C22⋊C4×C71C2311yescharacteristic
438C2×C22⋊C4×C71C2311yescharacteristic
439C2×C22⋊C4×C71C2311yescharacteristic
440C2×C22⋊C4×C71C2311yescharacteristic
441C2×C22⋊C4×C71C2311yescharacteristic
442C2×C22⋊C4×C71C2311yescharacteristic
443C2×C22⋊C4×C71C2311yescharacteristic, complemented
444C2×C22⋊C4×C71C2311yescharacteristic, complemented
445C2×C22⋊C4×C71C2311yescharacteristic, complemented
446C2×C22⋊C4×C71C2311yescharacteristic, complemented
447C2×C22⋊C4×C71C2311yescharacteristic, complemented
448C2×C42×C71C2311yescharacteristic, complemented
449#95×C71C2311yescharacteristic, complemented
450#95×C71C2311yescharacteristic, complemented
451#95×C71C2311yescharacteristic, complemented
452#95×C71C2311yescharacteristic, complemented
453C23×D71—22no—
454C23×D71—22no—
455C23×D71—22no—
456C23×D71—22no—
457C23×D71—232no—
458C23×D71—22no—
459C23×D71—22no—
460C23×D71—22no—
461C23×D71—22no—
462C23×D71—22no—
463C23×D71—22no—
464C23×D71—22no—
465C23×D71—22no—
466C23×D71—22no—
467C23×D71—22no—
468C23×D71—22no—
469C23×D71—22no—
470C23×D71—22no—
471C23×D71—22no—
472C23×D71—22no—
473C23×D71—22no—
474C23×D71—22no—
475C23×D71—22no—
476C23×D71—22no—
477C23×D71—22no—
478C23×D71—22no—
479C23×D71—22no—
480C23×D71—22no—
481C23×D71—22no—
482C23×D71—22no—
483C23×D71—22no—
484C23×D71—22no—
485C23×D71—22no—
486C23×D71—22no—
487C23×D71—22no—
488C23×D71—22no—
489C23×D71—22no—
490C23×D71—22no—
491C23×D71—22no—
492C23×D71—22no—
493C23×D71—22no—
494C23×D71—22no—
495C23×D71—22no—
496C23×D71—22no—
497C23×D71—22no—
498C23×D71—41no—
499C23×D71—41no—
500C23×D71—41no—
501C23×D71—41no—
502C23×D71—41no—
503C23×D71—41no—
504C23×D71—416no—
505C23×D71—416no—
506C23×D71—416no—
507C23×D71—416no—
508C23×D71—416no—
509C23×D71—416no—
510C23×D71C2×D414yes—
511C23×D71C2×D414yes—
512C23×D71C2×D414yes—
513C23×D71C2×D414yes—
514C23×D71#4114yes—
515C23×D71#4114yes—
516C23×D71C2411yescharacteristic
517C23×D71C2411yescharacteristic
518C23×D71C2411yescharacteristic
519C23×D71C2411yescharacteristic
520C23×D71C2411yescharacteristic
521C23×D71C2411yescharacteristic
522C2×D284—22no—
523C2×D284—22no—
524C2×D284—22no—
525C2×D284—22no—
526C2×D284—22no—
527C2×D284—22no—
528C2×D284—22no—
529C2×D284—22no—
530C2×D284—22no—
531C2×D284—22no—
532C2×D284—22no—
533C2×D284—22no—
534C2×D284—22no—
535C2×D284—22no—
536C2×D284—22no—
537C2×D284—41no—
538C2×D284—41no—
539C2×D284—41no—
540C2×D284—41no—
541C2×D284—41no—
542C2×D284C2×D414yescomplemented
543C2×C22⋊D71—22no—
544C2×C22⋊D71—22no—
545C2×C22⋊D71—22no—
546C2×C22⋊D71—22no—
547C2×C22⋊D71—22no—
548C2×C22⋊D71—22no—
549C2×C22⋊D71—22no—
550C2×C22⋊D71—22no—
551C2×C22⋊D71—22no—
552C2×C22⋊D71—22no—
553C2×C22⋊D71—22no—
554C2×C22⋊D71—22no—
555C2×C22⋊D71—22no—
556C2×C22⋊D71—22no—
557C2×C22⋊D71—22no—
558C2×C22⋊D71—22no—
559C2×C22⋊D71—22no—
560C2×C22⋊D71—22no—
561C2×C22⋊D71—22no—
562C2×C22⋊D71—22no—
563C2×C22⋊D71—22no—
564C2×C22⋊D71—22no—
565C2×C22⋊D71—22no—
566C2×C22⋊D71—22no—
567C2×C22⋊D71—22no—
568C2×C22⋊D71—22no—
569C2×C22⋊D71—22no—
570C2×C22⋊D71—22no—
571C2×C22⋊D71—22no—
572C2×C22⋊D71—22no—
573C2×C22⋊D71—41no—
574C2×C22⋊D71—41no—
575C2×C22⋊D71—41no—
576C2×C22⋊D71—41no—
577C2×C22⋊D71—41no—
578C2×C22⋊D71—41no—
579C2×C22⋊D71—41no—
580C2×C22⋊D71—41no—
581C2×C22⋊D71—41no—
582C2×C22⋊D71—41no—
583C2×C22⋊D71C2×D414yescomplemented
584C2×C22⋊D71C2×D414yescomplemented
585D4×D71—232no—
586D4×D71—416no—
587D4×D71—416no—
588D4×D71—416no—
589D4×D71—416no—
590D4×D71—416no—
591D4×D71—416no—
592C22×Dic71—22no—
593C22×Dic71—22no—
594C22×Dic71—22no—
595C22×Dic71—22no—
596C22×Dic71—22no—
597C22×Dic71—22no—
598C22×Dic71—41no—
599C22×Dic71—41no—
600C22×Dic71—41no—
601C22×Dic71C2411yescharacteristic
602C22×Dic71C2411yescharacteristic
603C22×Dic71C2411yescharacteristic
604C22×Dic71C2411yescharacteristic
605C22×Dic71C2411yescharacteristic
606C22×Dic71C2411yescharacteristic
607C22×Dic71C2411yescharacteristic
608C22×Dic71C2411yescharacteristic
609C22×Dic71C2411yescharacteristic
610C22×Dic71C2411yescharacteristic
611C2×C4×D71—22no—
612C2×C4×D71—22no—
613C2×C4×D71—22no—
614C2×C4×D71—22no—
615C2×C4×D71—22no—
616C2×C4×D71—22no—
617C2×C4×D71—22no—
618C2×C4×D71—22no—
619C2×C4×D71—22no—
620C2×C4×D71—22no—
621C2×C4×D71—22no—
622C2×C4×D71—22no—
623C2×C4×D71—22no—
624C2×C4×D71—22no—
625C2×C4×D71—22no—
626C2×C4×D71—22no—
627C2×C4×D71—22no—
628C2×C4×D71—22no—
629C2×C4×D71—22no—
630C2×C4×D71—22no—
631C2×C4×D71—22no—
632C2×C4×D71—22no—
633C2×C4×D71—22no—
634C2×C4×D71—22no—
635C2×C4×D71—22no—
636C2×C4×D71—22no—
637C2×C4×D71—22no—
638C2×C4×D71—22no—
639C2×C4×D71—22no—
640C2×C4×D71—22no—
641C2×C4×D71—22no—
642C2×C4×D71—22no—
643C2×C4×D71—22no—
644C2×C4×D71—22no—
645C2×C4×D71—22no—
646C2×C4×D71—22no—
647C2×C4×D71—22no—
648C2×C4×D71—416no—
649C2×C4×D71—416no—
650C2×C4×D71—416no—
651C2×C4×D71—41no—
652C2×C4×D71—41no—
653C2×C4×D71—41no—
654C2×C4×D71—41no—
655C2×C4×D71—41no—
656C2×C4×D71—41no—
657C2×C4×D71C2×D414yes—
658C2×C4×D71C2×D414yes—
659C2×C4×D71C2×D414yes—
660C2×C4×D71C2×D414yes—
661C2×C4×D71C2×D414yes—
662C4⋊Dic71—22no—
663C4⋊Dic71—22no—
664C4⋊Dic71—22no—
665C4⋊Dic71—41no—
666Dic71⋊C4—22no—
667Dic71⋊C4—22no—
668Dic71⋊C4—22no—
669Dic71⋊C4—22no—
670Dic71⋊C4—22no—
671Dic71⋊C4—22no—
672Dic71⋊C4—41no—
673Dic71⋊C4—41no—
674C22⋊Dic71—22no—
675C22⋊Dic71—22no—
676C22⋊Dic71—22no—
677C22⋊Dic71—22no—
678C22⋊Dic71—22no—
679C22⋊Dic71—22no—
680C22⋊Dic71—22no—
681C22⋊Dic71—22no—
682C22⋊Dic71—22no—
683C22⋊Dic71—22no—
684C22⋊Dic71—22no—
685C22⋊Dic71—22no—
686C22⋊Dic71—41no—
687C22⋊Dic71C2×D414yescomplemented
688C22⋊Dic71C2×D414yescomplemented
689(C2×D71)⋊C4—22no—
690(C2×D71)⋊C4—22no—
691(C2×D71)⋊C4—22no—
692(C2×D71)⋊C4—22no—
693(C2×D71)⋊C4—22no—
694(C2×D71)⋊C4—22no—
695(C2×D71)⋊C4—22no—
696(C2×D71)⋊C4—22no—
697(C2×D71)⋊C4—22no—
698(C2×D71)⋊C4—22no—
699(C2×D71)⋊C4—22no—
700(C2×D71)⋊C4—22no—
701(C2×D71)⋊C4—22no—
702(C2×D71)⋊C4—22no—
703(C2×D71)⋊C4—22no—
704(C2×D71)⋊C4—22no—
705(C2×D71)⋊C4—22no—
706(C2×D71)⋊C4—22no—
707(C2×D71)⋊C4—22no—
708(C2×D71)⋊C4—22no—
709(C2×D71)⋊C4—22no—
710(C2×D71)⋊C4—22no—
711(C2×D71)⋊C4—22no—
712(C2×D71)⋊C4—22no—
713(C2×D71)⋊C4—41no—
714(C2×D71)⋊C4—41no—
715(C2×D71)⋊C4C2×D414yescomplemented
716(C2×D71)⋊C4C2×D414yescomplemented
717(C2×D71)⋊C4C2×D414yescomplemented
718(C2×D71)⋊C4C2×D414yescomplemented
719C4×Dic71—22no—
720C4×Dic71—22no—
721C4×Dic71—22no—
722C24×C71—22no—
723C24×C71—22no—
724C24×C71—22no—
725C24×C71—22no—
726C24×C71—22no—
727C24×C71—41no—
728C24×C71—41no—
729C24×C71C2411yescharacteristic
730C24×C71C2411yescharacteristic
731C24×C71C2411yescharacteristic
732C24×C71C2411yescharacteristic
733C24×C71C2411yescharacteristic
734C2×D4×C71—22no—
735C2×D4×C71—22no—
736C2×D4×C71—22no—
737C2×D4×C71—22no—
738C2×D4×C71—22no—
739C2×D4×C71—22no—
740C2×D4×C71—22no—
741C2×D4×C71—22no—
742C2×D4×C71—22no—
743C2×D4×C71—22no—
744C2×D4×C71—22no—
745C2×D4×C71—22no—
746C2×D4×C71—22no—
747C2×D4×C71—22no—
748C2×D4×C71—22no—
749C2×D4×C71—41no—
750C2×D4×C71—41no—
751C2×D4×C71—41no—
752C2×D4×C71—41no—
753C2×D4×C71—41no—
754C2×D4×C71C2×D414yescomplemented
755C22×C4×C71—22no—
756C22×C4×C71—22no—
757C22×C4×C71—22no—
758C22×C4×C71—22no—
759C22×C4×C71—22no—
760C22×C4×C71—22no—
761C22×C4×C71—41no—
762C22×C4×C71—41no—
763C22×C4×C71—41no—
764C22×C4×C71C2411yescharacteristic
765C22×C4×C71C2411yescharacteristic
766C22×C4×C71C2411yescharacteristic
767C22×C4×C71C2411yescharacteristic
768C22×C4×C71C2411yescharacteristic
769C22×C4×C71C2411yescharacteristic
770C22×C4×C71C2411yescharacteristic
771C22×C4×C71C2411yescharacteristic
772C22×C4×C71C2411yescharacteristic
773C22×C4×C71C2411yescharacteristic
774C4⋊C4×C71—22no—
775C4⋊C4×C71—22no—
776C4⋊C4×C71—22no—
777C4⋊C4×C71—41no—
778C22⋊C4×C71—22no—
779C22⋊C4×C71—22no—
780C22⋊C4×C71—22no—
781C22⋊C4×C71—22no—
782C22⋊C4×C71—22no—
783C22⋊C4×C71—22no—
784C22⋊C4×C71—22no—
785C22⋊C4×C71—22no—
786C22⋊C4×C71—22no—
787C22⋊C4×C71—22no—
788C22⋊C4×C71—22no—
789C22⋊C4×C71—22no—
790C22⋊C4×C71—41no—
791C22⋊C4×C71C2×D414yescomplemented
792C22⋊C4×C71C2×D414yescomplemented
793C42×C71—22no—
794C23×C71—21no—
795C23×C71—21no—
796C23×C71—21no—
797C23×C71—21no—
798C23×C71—28no—
799C23×C71—21no—
800C23×C71—21no—
801C23×C71—21no—
802C23×C71—21no—
803C23×C71—21no—
804C23×C71—21no—
805C23×C71—21no—
806C23×C71—21no—
807C23×C71—21no—
808C23×C71—21no—
809C23×C71—21no—
810C23×C71—21no—
811C23×C71—21no—
812C23×C71—21no—
813C23×C71—21no—
814C23×C71—21no—
815C23×C71—21no—
816C23×C71—21no—
817C23×C71—21no—
818C23×C71—21no—
819C23×C71—21no—
820C23×C71—21no—
821C23×C71—21no—
822C23×C71—21no—
823C23×C71—21no—
824C23×C71—44no—
825C23×C71—44no—
826C23×C71—44no—
827C23×C71—44no—
828C23×C71—44no—
829C23×C71—44no—
830C23×C71C22×D412yes—
831C23×C71C22×D412yes—
832C23×C71C22×D412yes—
833C23×C71C22×D412yes—
834C23×C71C2×#4112yes—
835C23×C71C2×#4112yes—
836C23×C71C2511yescharacteristic
837C22×D71—21no—
838C22×D71—21no—
839C22×D71—21no—
840C22×D71—21no—
841C22×D71—28no—
842C22×D71—28no—
843C22×D71—28no—
844C22×D71—28no—
845C22×D71—28no—
846C22×D71—28no—
847C22×D71—28no—
848C22×D71—28no—
849C22×D71—28no—
850C22×D71—21no—
851C22×D71—21no—
852C22×D71—21no—
853C22×D71—21no—
854C22×D71—21no—
855C22×D71—21no—
856C22×D71—21no—
857C22×D71—21no—
858C22×D71—21no—
859C22×D71—21no—
860C22×D71—21no—
861C22×D71—21no—
862C22×D71—21no—
863C22×D71—21no—
864C22×D71—21no—
865C22×D71—21no—
866C22×D71—21no—
867C22×D71—21no—
868C22×D71—28no—
869C22×D71—28no—
870C22×D71—28no—
871C22×D71—28no—
872C22×D71—28no—
873C22×D71—28no—
874C22×D71—28no—
875C22×D71—28no—
876C22×D71—28no—
877C22×D71—21no—
878C22×D71—21no—
879C22×D71—21no—
880C22×D71—21no—
881C22×D71—21no—
882C22×D71—21no—
883C22×D71—21no—
884C22×D71—44no—
885C22×D71—44no—
886C22×D71—44no—
887C22×D71—44no—
888C22×D71—44no—
889C22×D71—44no—
890C22×D71—44no—
891C22×D71—44no—
892C22×D71—44no—
893C22×D71—44no—
894C22×D71—44no—
895C22×D71—44no—
896C22×D71—44no—
897C22×D71—44no—
898C22×D71—4128no—
899C22×D71—44no—
900C22×D71—44no—
901C22×D71—44no—
902C22×D71—44no—
903C22×D71—44no—
904C22×D71—44no—
905C22×D71—44no—
906C22×D71—44no—
907C22×D71—44no—
908C22×D71—44no—
909C22×D71—44no—
910C22×D71—44no—
911C22×D71—44no—
912C22×D71—44no—
913C22×D71—44no—
914C22×D71—44no—
915C22×D71—44no—
916C22×D71—44no—
917C22×D71—44no—
918C22×D71—44no—
919C22×D71—44no—
920C22×D71—44no—
921C22×D71—44no—
922C22×D71#121116yescomplemented
923C22×D71C22×D412yes—
924C22×D71C22×D412yes—
925C22×D71C22×D412yes—
926C22×D71C22×D412yes—
927C22×D71C22×D412yes—
928C22×D71C22×D412yes—
929C22×D71C22×D412yes—
930C22×D71C2×#4112yes—
931C22×D71C2×#4112yes—
932C22×D71C2×#4112yes—
933C22×D71C2×#4112yes—
934C22×D71H(5,𝔽2)12yes—
935C22×D71H(5,𝔽2)12yes—
936D4×C71—28no—
937D4×C71—44no—
938D4×C71—44no—
939D4×C71—44no—
940D4×C71—44no—
941D4×C71—44no—
942D4×C71—44no—
943C2×C4×C71—21no—
944C2×C4×C71—21no—
945C2×C4×C71—21no—
946C2×C4×C71—21no—
947C2×C4×C71—21no—
948C2×C4×C71—21no—
949C2×C4×C71—21no—
950C2×C4×C71—21no—
951C2×C4×C71—21no—
952C2×C4×C71—21no—
953C2×C4×C71—21no—
954C2×C4×C71—21no—
955C2×C4×C71—21no—
956C2×C4×C71—21no—
957C2×C4×C71—21no—
958C2×C4×C71—21no—
959C2×C4×C71—21no—
960C2×C4×C71—21no—
961C2×C4×C71—21no—
962C2×C4×C71—21no—
963C2×C4×C71—21no—
964C2×C4×C71—21no—
965C2×C4×C71—21no—
966C2×C4×C71—21no—
967C2×C4×C71—21no—
968C2×C4×C71—44no—
969C2×C4×C71—44no—
970C2×C4×C71—44no—
971C2×C4×C71C22×D412yes—
972C2×C4×C71C22×D412yes—
973C2×C4×C71C22×D412yes—
974C2×C4×C71C22×D412yes—
975C2×C4×C71C22×D412yes—
976C22⋊D71—28no—
977C22⋊D71—28no—
978C22⋊D71—44no—
979C22⋊D71—44no—
980C22⋊D71—44no—
981C22⋊D71—44no—
982C22⋊D71—44no—
983C22⋊D71—44no—
984C22⋊D71—44no—
985C22⋊D71—44no—
986C22⋊D71—44no—
987C22⋊D71—44no—
988C22⋊D71—44no—
989C22⋊D71—44no—
990C2×Dic71—21no—
991C2×Dic71—21no—
992C2×Dic71—21no—
993C2×Dic71—21no—
994C2×Dic71—21no—
995C2×Dic71—21no—
996C2×Dic71—21no—
997C2×Dic71—21no—
998C2×Dic71—21no—
999C2×Dic71—21no—
1000C2×Dic71—21no—
1001C2×Dic71—21no—
1002C2×Dic71—21no—
1003C2×Dic71—21no—
1004C2×Dic71—21no—
1005C2×Dic71—21no—
1006C2×Dic71—21no—
1007C2×Dic71—21no—
1008C2×Dic71—21no—
1009C2×Dic71—21no—
1010C2×Dic71—21no—
1011C2×Dic71—21no—
1012C2×Dic71—21no—
1013C2×Dic71—21no—
1014C2×Dic71—21no—
1015C2×Dic71—44no—
1016C2×Dic71—44no—
1017C2×Dic71—44no—
1018C2×Dic71C22×D412yes—
1019C2×Dic71C22×D412yes—
1020C2×Dic71C22×D412yes—
1021C2×Dic71C22×D412yes—
1022C2×Dic71C22×D412yes—
1023D284—28no—
1024D284—44no—
1025D284—44no—
1026D284—44no—
1027D284—44no—
1028D284—44no—
1029D284—44no—
1030C4×D71—28no—
1031C4×D71—28no—
1032C4×D71—28no—
1033C4×D71—28no—
1034C4×D71—28no—
1035C4×D71—44no—
1036C4×D71—44no—
1037C4×D71—44no—
1038C4×D71—44no—
1039C4×D71—44no—
1040C4×D71—44no—
1041C4×D71—44no—
1042C4×D71—44no—
1043C4×D71—44no—
1044C4×D71—44no—
1045C4×D71—44no—
1046C22×C71—22no—
1047C22×C71—22no—
1048C22×C71—22no—
1049C22×C71—22no—
1050C22×C71—22no—
1051C22×C71—22no—
1052C22×C71—22no—
1053C22×C71—22no—
1054C22×C71—22no—
1055C22×C71—22no—
1056C22×C71—22no—
1057C22×C71—22no—
1058C22×C71—22no—
1059C22×C71—22no—
1060C22×C71—22no—
1061C22×C71—416no—
1062C22×C71—41no—
1063C22×C71—41no—
1064C22×C71—41no—
1065C22×C71—41no—
1066C22×C71—41no—
1067C22×C71—41no—
1068C22×C71—41no—
1069C22×C71—41no—
1070C22×C71—41no—
1071C22×C71—41no—
1072C22×C71—41no—
1073C22×C71—41no—
1074C22×C71—41no—
1075C22×C71—41no—
1076C22×C71—41no—
1077C22×C71—41no—
1078C22×C71—41no—
1079C22×C71—41no—
1080C22×C71—41no—
1081C22×C71C2×#12114yescomplemented
1082C22×C71C23×D411yescharacteristic
1083C22×C71C23×D411yescharacteristic
1084C22×C71C23×D411yescharacteristic
1085C22×C71C22×#4111yescharacteristic
1086C22×C71C22×#4111yescharacteristic
1087C22×C71C2×H(5,𝔽2)11yescharacteristic
1088C22×C71C2×H(5,𝔽2)11yescharacteristic
1089C2×D71—22no—
1090C2×D71—22no—
1091C2×D71—22no—
1092C2×D71—22no—
1093C2×D71—22no—
1094C2×D71—22no—
1095C2×D71—232no—
1096C2×D71—22no—
1097C2×D71—22no—
1098C2×D71—22no—
1099C2×D71—22no—
1100C2×D71—22no—
1101C2×D71—22no—
1102C2×D71—22no—
1103C2×D71—22no—
1104C2×D71—22no—
1105C2×D71—416no—
1106C2×D71—416no—
1107C2×D71—416no—
1108C2×D71—41no—
1109C2×D71—41no—
1110C2×D71—41no—
1111C2×D71—41no—
1112C2×D71—41no—
1113C2×D71—41no—
1114C2×D71—41no—
1115C2×D71—41no—
1116C2×D71—41no—
1117C2×D71—41no—
1118C2×D71—41no—
1119C2×D71—41no—
1120C2×D71—416no—
1121C2×D71—416no—
1122C2×D71—416no—
1123C2×D71—41no—
1124C2×D71—41no—
1125C2×D71—41no—
1126C2×D71—41no—
1127C2×D71—41no—
1128C2×D71—41no—
1129C2×D71—41no—
1130C2×D71—88no—
1131C2×D71C2×#12114yes—
1132C2×D71C2×#12114yescomplemented
1133C2×D71#52514yes—
1134C2×D71#53814yes—
1135C2×D71D4214yes—
1136C2×D71D4214yes—
1137C2×D71#54614yes—
1138C2×D71#54614yes—
1139C4×C71—22no—
1140C4×C71—22no—
1141C4×C71—22no—
1142C4×C71—22no—
1143C4×C71—22no—
1144C4×C71—41no—
1145C4×C71—41no—
1146C4×C71—41no—
1147C4×C71—41no—
1148C4×C71—41no—
1149Dic71—22no—
1150Dic71—22no—
1151Dic71—22no—
1152Dic71—22no—
1153Dic71—22no—
1154Dic71—41no—
1155Dic71—41no—
1156Dic71—41no—
1157Dic71—41no—
1158Dic71—41no—
1159C2×#2424—711nomaximal, Sylow
1160C2×C71—24no—
1161C2×C71—42no—
1162C2×C71—42no—
1163C2×C71—42no—
1164C2×C71—81no—
1165C2×C71C22×#12111yescharacteristic
1166C2×C71C2×#52511yescharacteristic
1167C2×C71C2×#53811yescharacteristic
1168C2×C71C2×D4211yescharacteristic
1169C2×C71C2×D4211yescharacteristic
1170C2×C71C2×#54611yescharacteristic
1171C2×C71C2×#54611yescharacteristic
1172D71—24no—
1173D71—42no—
1174D71—42no—
1175D71—42no—
1176D71—81no—
1177D71#242418yesdirect product factor
1178C22×#121—711no—
1179C22×#121—711no—
1180C22×#120—711no—
1181C22×#120—711no—
1182C22×C4×D4—711no—
1183C23×C22⋊C4—711no—
1184#2424—711no—
1185#2424—711no—
1186#2424—711no—
1187#2424—711no—
1188#2424—711no—
1189#2424—711no—
1190#2424—711no—
1191#2424—711no—
1192#2424—711no—
1193#2424—711no—
1194#2424—711no—
1195#2424—711no—
1196#2424—711no—
1197#2424—711no—
1198#2424—711no—
1199#2424D7111yescharacteristic, direct product factor
1200C2×#396—711no—
1201C2×#394—711no—
1202C2×#394—711no—
1203C2×#392—711no—
1204C2×#390—711no—
1205C2×#388—711no—
1206C2×#386—711no—
1207C2×#386—711no—
1208C2×#385—711no—
1209C71C2×#242411yescharacteristic, complemented, Sylow
1210C26—711no—
1211C23×D4—711no—
1212C23×D4—711no—
1213C23×D4—711no—
1214C23×D4—711no—
1215C23×D4—711no—
1216C23×D4—711no—
1217C23×D4—711no—
1218C24×C4—711no—
1219C24×C4—711no—
1220C24×C4—711no—
1221C2×#121—711no—
1222C2×#121—711no—
1223C2×#121—711no—
1224C2×#121—711no—
1225C2×#121—711no—
1226C2×#121—711no—
1227C2×#121—711no—
1228C2×#121—711no—
1229C2×#121—711no—
1230C2×#121—711no—
1231C2×#121—711no—
1232C2×#121—711no—
1233C2×#121—711no—
1234C2×#121—711no—
1235C2×#121—1428no—
1236C2×#121—1428no—
1237C2×#121C2×D7111yescharacteristic, complemented
1238C2×#121C2×D7111yescharacteristic, complemented
1239C2×#120—711no—
1240C2×#120—711no—
1241C2×#120—711no—
1242C2×#120—711no—
1243C2×#120—711no—
1244C2×#120—711no—
1245C2×#120—711no—
1246C2×#120—711no—
1247C2×#120—711no—
1248C2×#120—711no—
1249C2×#120—711no—
1250C2×#120—711no—
1251C2×#120—711no—
1252C2×#120—711no—
1253C2×#120—1428no—
1254C2×#120—1428no—
1255C2×#120C2×D7111yescharacteristic, complemented
1256C2×#120C2×D7111yescharacteristic, complemented
1257C2×C4×D4—711no—
1258C2×C4×D4—711no—
1259C2×C4×D4—711no—
1260C2×C4×D4—711no—
1261C2×C4×D4—711no—
1262C2×C4×D4—711no—
1263C2×C4×D4—711no—
1264C2×C4×D4—1428no—
1265C2×C4×D4C2×D7111yescharacteristic, complemented
1266C22×C4⋊C4—711no—
1267C22×C4⋊C4—711no—
1268C22×C4⋊C4—711no—
1269C22×C4⋊C4—711no—
1270C22×C22⋊C4—711no—
1271C22×C22⋊C4—711no—
1272C22×C22⋊C4—711no—
1273C22×C22⋊C4—711no—
1274C22×C22⋊C4—711no—
1275C22×C22⋊C4—711no—
1276C22×C22⋊C4—711no—
1277C22×C22⋊C4—711no—
1278C22×C22⋊C4—711no—
1279C22×C22⋊C4—711no—
1280C22×C22⋊C4—711no—
1281C22×C22⋊C4—711no—
1282C22×C22⋊C4—711no—
1283C22×C22⋊C4—711no—
1284C22×C22⋊C4—711no—
1285C22×C22⋊C4—711no—
1286C22×C22⋊C4—711no—
1287C22×C22⋊C4—711no—
1288C22×C22⋊C4—711no—
1289C22×C22⋊C4—711no—
1290C22×C22⋊C4—711no—
1291C22×C22⋊C4—711no—
1292C22×C22⋊C4—1428no—
1293C22×C22⋊C4C2×D7111yescharacteristic, complemented
1294C22×C42—711no—
1295#396—711no—
1296#396—711no—
1297#396—711no—
1298#396—711no—
1299#396—711no—
1300#396—711no—
1301#396—711no—
1302#396C2×D7111yescharacteristic, complemented
1303#394—711no—
1304#394—711no—
1305#394—711no—
1306#394—711no—
1307#394—711no—
1308#394—711no—
1309#394—711no—
1310#394—711no—
1311#394—711no—
1312#394—711no—
1313#394—711no—
1314#394—711no—
1315#394—711no—
1316#394—711no—
1317#394C2×D7111yescharacteristic, complemented
1318#394C2×D7111yescharacteristic, complemented
1319#392—711no—
1320#392—711no—
1321#392—711no—
1322#392—711no—
1323#392—711no—
1324#392—711no—
1325#392—711no—
1326#392C2×D7111yescharacteristic, complemented
1327#390—711no—
1328#390—711no—
1329#390—711no—
1330#390—711no—
1331#390—711no—
1332#390—711no—
1333#390—711no—
1334#390C2×D7111yescharacteristic, complemented
1335#388—711no—
1336#388—711no—
1337#388—711no—
1338#388—711no—
1339#388—711no—
1340#388—711no—
1341#388—711no—
1342#388C2×D7111yescharacteristic, complemented
1343#386—711no—
1344#386—711no—
1345#386—711no—
1346#386—711no—
1347#386—711no—
1348#386—711no—
1349#386—711no—
1350#386—711no—
1351#386—711no—
1352#386—711no—
1353#386—711no—
1354#386—711no—
1355#386—711no—
1356#386—711no—
1357#386C2×D7111yescharacteristic, complemented
1358#386C2×D7111yescharacteristic, complemented
1359#385—711no—
1360#385—711no—
1361#385—711no—
1362#385—711no—
1363#385—711no—
1364#385—711no—
1365#385—711no—
1366#385C2×D7111yescharacteristic, complemented
1367C2×#95—711no—
1368C2×#95—711no—
1369C2×#95—711no—
1370C2×#95—711no—
1371C25—2842no—
1372C25—2842no—
1373C25—711no—
1374C25—711no—
1375C25—711no—
1376C25—711no—
1377C25—711no—
1378C25—711no—
1379C25—711no—
1380C25—711no—
1381C25—1424no—
1382C25—1424no—
1383C25—1424no—
1384C25—1424no—
1385C25—1424no—
1386C25C22×D7111yescharacteristic
1387C22×D4—2842no—
1388C22×D4—2842no—
1389C22×D4—2842no—
1390C22×D4—2842no—
1391C22×D4—2842no—
1392C22×D4—711no—
1393C22×D4—711no—
1394C22×D4—711no—
1395C22×D4—711no—
1396C22×D4—711no—
1397C22×D4—711no—
1398C22×D4—711no—
1399C22×D4—711no—
1400C22×D4—711no—
1401C22×D4—711no—
1402C22×D4—711no—
1403C22×D4—711no—
1404C22×D4—718no—
1405C22×D4—711no—
1406C22×D4—711no—
1407C22×D4—711no—
1408C22×D4—711no—
1409C22×D4—711no—
1410C22×D4—711no—
1411C22×D4—711no—
1412C22×D4—711no—
1413C22×D4—711no—
1414C22×D4—1424no—
1415C22×D4—1424no—
1416C22×D4—1424no—
1417C22×D4—1424no—
1418C22×D4—1424no—
1419C22×D4—1424no—
1420C22×D4—1424no—
1421C22×D4—1424no—
1422C22×D4—1424no—
1423C22×D4—1424no—
1424C22×D4—1424no—
1425C22×D4—1424no—
1426C22×D4—1424no—
1427C22×D4—1424no—
1428C22×D4—1424no—
1429C22×D4C22×D7111yescharacteristic
1430C22×D4C22×D7111yescharacteristic
1431C22×D4C22×D7111yescharacteristic
1432C22×D4C22×D7111yescharacteristic
1433C22×D4C22×D7111yescharacteristic
1434C22×D4C22×D7111yescharacteristic
1435C22×D4C22×D7111yescharacteristic, complemented
1436C23×C4—2842no—
1437C23×C4—2842no—
1438C23×C4—2842no—
1439C23×C4—711no—
1440C23×C4—711no—
1441C23×C4—711no—
1442C23×C4—711no—
1443C23×C4—711no—
1444C23×C4—711no—
1445C23×C4—711no—
1446C23×C4—711no—
1447C23×C4—711no—
1448C23×C4—711no—
1449C23×C4—711no—
1450C23×C4—711no—
1451C23×C4—711no—
1452C23×C4—711no—
1453C23×C4—711no—
1454C23×C4—711no—
1455C23×C4—711no—
1456C23×C4—711no—
1457C23×C4—711no—
1458C23×C4—1424no—
1459C23×C4—1424no—
1460C23×C4—1424no—
1461C23×C4—1424no—
1462C23×C4—1424no—
1463C23×C4—1424no—
1464C23×C4C22×D7111yescharacteristic
1465C23×C4C22×D7111yescharacteristic
1466C23×C4C22×D7111yescharacteristic, complemented
1467#121—24no—
1468#121—24no—
1469#121—1424no—
1470#121—1424no—
1471#121—1424no—
1472#121—1424no—
1473#121—1424no—
1474#121—1424no—
1475#121—1424no—
1476#121—1424no—
1477#121—1424no—
1478#121—1424no—
1479#121—1424no—
1480#121—1424no—
1481#121—1424no—
1482#121—1424no—
1483#120—24no—
1484#120—24no—
1485#120—1424no—
1486#120—1424no—
1487#120—1424no—
1488#120—1424no—
1489#120—1424no—
1490#120—1424no—
1491#120—1424no—
1492#120—1424no—
1493#120—1424no—
1494#120—1424no—
1495#120—1424no—
1496#120—1424no—
1497#120—1424no—
1498#120—1424no—
1499C4×D4—24no—
1500C4×D4—1424no—
1501C4×D4—1424no—
1502C4×D4—1424no—
1503C4×D4—1424no—
1504C4×D4—1424no—
1505C4×D4—1424no—
1506C4×D4—1424no—
1507C2×C4⋊C4—2842no—
1508C2×C4⋊C4—711no—
1509C2×C4⋊C4—711no—
1510C2×C4⋊C4—711no—
1511C2×C4⋊C4—711no—
1512C2×C4⋊C4—711no—
1513C2×C4⋊C4—711no—
1514C2×C4⋊C4—711no—
1515C2×C4⋊C4—711no—
1516C2×C4⋊C4—711no—
1517C2×C4⋊C4—711no—
1518C2×C4⋊C4—711no—
1519C2×C4⋊C4—711no—
1520C2×C4⋊C4—1424no—
1521C2×C4⋊C4—1424no—
1522C2×C4⋊C4—1424no—
1523C2×C4⋊C4C22×D7111yescharacteristic, complemented
1524C2×C4⋊C4C22×D7111yescharacteristic, complemented
1525C2×C4⋊C4C22×D7111yescharacteristic, complemented
1526C2×C4⋊C4C22×D7111yescharacteristic, complemented
1527C2×C22⋊C4—24no—
1528C2×C22⋊C4—2842no—
1529C2×C22⋊C4—711no—
1530C2×C22⋊C4—711no—
1531C2×C22⋊C4—711no—
1532C2×C22⋊C4—711no—
1533C2×C22⋊C4—711no—
1534C2×C22⋊C4—711no—
1535C2×C22⋊C4—711no—
1536C2×C22⋊C4—711no—
1537C2×C22⋊C4—711no—
1538C2×C22⋊C4—718no—
1539C2×C22⋊C4—718no—
1540C2×C22⋊C4—711no—
1541C2×C22⋊C4—711no—
1542C2×C22⋊C4—711no—
1543C2×C22⋊C4—711no—
1544C2×C22⋊C4—711no—
1545C2×C22⋊C4—711no—
1546C2×C22⋊C4—711no—
1547C2×C22⋊C4—711no—
1548C2×C22⋊C4—711no—
1549C2×C22⋊C4—711no—
1550C2×C22⋊C4—711no—
1551C2×C22⋊C4—711no—
1552C2×C22⋊C4—711no—
1553C2×C22⋊C4—711no—
1554C2×C22⋊C4—711no—
1555C2×C22⋊C4—711no—
1556C2×C22⋊C4—711no—
1557C2×C22⋊C4—711no—
1558C2×C22⋊C4—711no—
1559C2×C22⋊C4—711no—
1560C2×C22⋊C4—711no—
1561C2×C22⋊C4—711no—
1562C2×C22⋊C4—711no—
1563C2×C22⋊C4—711no—
1564C2×C22⋊C4—711no—
1565C2×C22⋊C4—711no—
1566C2×C22⋊C4—711no—
1567C2×C22⋊C4—711no—
1568C2×C22⋊C4—711no—
1569C2×C22⋊C4—711no—
1570C2×C22⋊C4—711no—
1571C2×C22⋊C4—711no—
1572C2×C22⋊C4—711no—
1573C2×C22⋊C4—711no—
1574C2×C22⋊C4—711no—
1575C2×C22⋊C4—711no—
1576C2×C22⋊C4—1424no—
1577C2×C22⋊C4—1424no—
1578C2×C22⋊C4—1424no—
1579C2×C22⋊C4—1424no—
1580C2×C22⋊C4—1424no—
1581C2×C22⋊C4—1424no—
1582C2×C22⋊C4—1424no—
1583C2×C22⋊C4—1424no—
1584C2×C22⋊C4—1424no—
1585C2×C22⋊C4—1424no—
1586C2×C22⋊C4—1424no—
1587C2×C22⋊C4—1424no—
1588C2×C22⋊C4—1424no—
1589C2×C22⋊C4—1424no—
1590C2×C22⋊C4—1424no—
1591C2×C22⋊C4—1424no—
1592C2×C22⋊C4—1424no—
1593C2×C22⋊C4—1424no—
1594C2×C22⋊C4—1424no—
1595C2×C22⋊C4C22×D7111yescharacteristic
1596C2×C22⋊C4C22×D7111yescharacteristic
1597C2×C22⋊C4C22×D7111yescharacteristic
1598C2×C22⋊C4C22×D7111yescharacteristic
1599C2×C22⋊C4C22×D7111yescharacteristic
1600C2×C22⋊C4C22×D7111yescharacteristic
1601C2×C22⋊C4C22×D7111yescharacteristic
1602C2×C22⋊C4C22×D7111yescharacteristic
1603C2×C22⋊C4C22×D7111yescharacteristic
1604C2×C22⋊C4C22×D7111yescharacteristic
1605C2×C22⋊C4C22×D7111yescharacteristic, complemented
1606C2×C22⋊C4C22×D7111yescharacteristic, complemented
1607C2×C22⋊C4C22×D7111yescharacteristic, complemented
1608C2×C22⋊C4C22×D7111yescharacteristic, complemented
1609C2×C22⋊C4C22×D7111yescharacteristic, complemented
1610C2×C42—711no—
1611C2×C42—711no—
1612C2×C42—711no—
1613C2×C42—1424no—
1614C2×C42C22×D7111yescharacteristic, complemented
1615#95—711no—
1616#95—711no—
1617#95—711no—
1618#95—711no—
1619#95—711no—
1620#95—711no—
1621#95—711no—
1622#95—711no—
1623#95—711no—
1624#95—711no—
1625#95—711no—
1626#95—711no—
1627#95C22×D7111yescharacteristic, complemented
1628#95C22×D7111yescharacteristic, complemented
1629#95C22×D7111yescharacteristic, complemented
1630#95C22×D7111yescharacteristic, complemented
1631C24—22no—
1632C24—22no—
1633C24—22no—
1634C24—22no—
1635C24—22no—
1636C24—41no—
1637C24—41no—
1638C24—2841no—
1639C24—2841no—
1640C24—2841no—
1641C24—2841no—
1642C24—2841no—
1643C24—2841no—
1644C24—28416no—
1645C24—28416no—
1646C24—28416no—
1647C24—28416no—
1648C24—28416no—
1649C24—28416no—
1650C24—711no—
1651C24—714no—
1652C24—714no—
1653C24—714no—
1654C24—711no—
1655C24—714no—
1656C24—714no—
1657C24—714no—
1658C24—711no—
1659C24—711no—
1660C24—711no—
1661C24—711no—
1662C24—1422no—
1663C24—1422no—
1664C24—1422no—
1665C24—1422no—
1666C24—1422no—
1667C24—1422no—
1668C24—1422no—
1669C24—1422no—
1670C24—1422no—
1671C24—1422no—
1672C24—1422no—
1673C24—1422no—
1674C24—1422no—
1675C24—1422no—
1676C24—1422no—
1677C24—1422no—
1678C24—1422no—
1679C24—1422no—
1680C24—1422no—
1681C24—1422no—
1682C24—1422no—
1683C24—1422no—
1684C24—1422no—
1685C24—1422no—
1686C24—1422no—
1687C24—1422no—
1688C24—1422no—
1689C24—1422no—
1690C24—1422no—
1691C24—1422no—
1692C24—1422no—
1693C24—1422no—
1694C24—1422no—
1695C24—1422no—
1696C24—1422no—
1697C24—14232no—
1698C24—1422no—
1699C24—1422no—
1700C24—1422no—
1701C24—1422no—
1702C24—1422no—
1703C24—1422no—
1704C24—1422no—
1705C24—1422no—
1706C24—1422no—
1707C24C23×D7111yescharacteristic
1708C24C23×D7111yescharacteristic
1709C24C23×D7111yescharacteristic
1710C24C23×D7111yescharacteristic
1711C24C23×D7111yescharacteristic
1712C2×D4—22no—
1713C2×D4—22no—
1714C2×D4—22no—
1715C2×D4—22no—
1716C2×D4—22no—
1717C2×D4—22no—
1718C2×D4—22no—
1719C2×D4—22no—
1720C2×D4—22no—
1721C2×D4—22no—
1722C2×D4—22no—
1723C2×D4—22no—
1724C2×D4—22no—
1725C2×D4—22no—
1726C2×D4—22no—
1727C2×D4—41no—
1728C2×D4—41no—
1729C2×D4—41no—
1730C2×D4—41no—
1731C2×D4—41no—
1732C2×D4—2841no—
1733C2×D4—2841no—
1734C2×D4—2841no—
1735C2×D4—2841no—
1736C2×D4—2841no—
1737C2×D4—28416no—
1738C2×D4—28416no—
1739C2×D4—28416no—
1740C2×D4—28416no—
1741C2×D4—28416no—
1742C2×D4—28416no—
1743C2×D4—2841no—
1744C2×D4—2841no—
1745C2×D4—2841no—
1746C2×D4—2841no—
1747C2×D4—2841no—
1748C2×D4—2841no—
1749C2×D4—2841no—
1750C2×D4—2841no—
1751C2×D4—2841no—
1752C2×D4—2841no—
1753C2×D4—714no—
1754C2×D4—714no—
1755C2×D4—714no—
1756C2×D4—1422no—
1757C2×D4—1422no—
1758C2×D4—1422no—
1759C2×D4—1422no—
1760C2×D4—1422no—
1761C2×D4—1422no—
1762C2×D4—1422no—
1763C2×D4—1422no—
1764C2×D4—1422no—
1765C2×D4—1422no—
1766C2×D4—1422no—
1767C2×D4—1422no—
1768C2×D4—1422no—
1769C2×D4—1422no—
1770C2×D4—1422no—
1771C2×D4—1422no—
1772C2×D4—1422no—
1773C2×D4—1422no—
1774C2×D4—14232no—
1775C2×D4—1422no—
1776C2×D4—1422no—
1777C2×D4—1422no—
1778C2×D4—1422no—
1779C2×D4—1422no—
1780C2×D4—1422no—
1781C2×D4—1422no—
1782C2×D4—1422no—
1783C2×D4—1422no—
1784C2×D4—1422no—
1785C2×D4—1422no—
1786C2×D4—1422no—
1787C2×D4—1422no—
1788C2×D4—1422no—
1789C2×D4—1422no—
1790C2×D4—1422no—
1791C2×D4—1422no—
1792C2×D4—1422no—
1793C2×D4—1422no—
1794C2×D4—1422no—
1795C2×D4—1422no—
1796C2×D4—1422no—
1797C2×D4—1422no—
1798C2×D4—1422no—
1799C2×D4—1422no—
1800C2×D4—1422no—
1801C2×D4—1422no—
1802C2×D4D4×D7114yescomplemented
1803C22×C4—22no—
1804C22×C4—22no—
1805C22×C4—22no—
1806C22×C4—22no—
1807C22×C4—22no—
1808C22×C4—22no—
1809C22×C4—41no—
1810C22×C4—41no—
1811C22×C4—41no—
1812C22×C4—2841no—
1813C22×C4—2841no—
1814C22×C4—2841no—
1815C22×C4—2841no—
1816C22×C4—2841no—
1817C22×C4—2841no—
1818C22×C4—28416no—
1819C22×C4—28416no—
1820C22×C4—28416no—
1821C22×C4—2841no—
1822C22×C4—2841no—
1823C22×C4—2841no—
1824C22×C4—711no—
1825C22×C4—711no—
1826C22×C4—711no—
1827C22×C4—711no—
1828C22×C4—711no—
1829C22×C4—714no—
1830C22×C4—714no—
1831C22×C4—714no—
1832C22×C4—714no—
1833C22×C4—714no—
1834C22×C4—711no—
1835C22×C4—711no—
1836C22×C4—711no—
1837C22×C4—711no—
1838C22×C4—711no—
1839C22×C4—1422no—
1840C22×C4—1422no—
1841C22×C4—1422no—
1842C22×C4—1422no—
1843C22×C4—1422no—
1844C22×C4—1422no—
1845C22×C4—1422no—
1846C22×C4—1422no—
1847C22×C4—1422no—
1848C22×C4—1422no—
1849C22×C4—1422no—
1850C22×C4—1422no—
1851C22×C4—1422no—
1852C22×C4—1422no—
1853C22×C4—1422no—
1854C22×C4—1422no—
1855C22×C4—1422no—
1856C22×C4—1422no—
1857C22×C4—1422no—
1858C22×C4—1422no—
1859C22×C4—1422no—
1860C22×C4—1422no—
1861C22×C4—1422no—
1862C22×C4—1422no—
1863C22×C4—1422no—
1864C22×C4—1422no—
1865C22×C4—1422no—
1866C22×C4—1422no—
1867C22×C4—1422no—
1868C22×C4—1422no—
1869C22×C4—1422no—
1870C22×C4—1422no—
1871C22×C4—1422no—
1872C22×C4—1422no—
1873C22×C4—1422no—
1874C22×C4—1422no—
1875C22×C4—1422no—
1876C22×C4—1422no—
1877C22×C4—1422no—
1878C22×C4—1422no—
1879C22×C4—1422no—
1880C22×C4—1422no—
1881C22×C4—1422no—
1882C22×C4C23×D7111yescharacteristic
1883C22×C4C23×D7111yescharacteristic
1884C22×C4C23×D7111yescharacteristic
1885C22×C4C23×D7111yescharacteristic
1886C22×C4C23×D7111yescharacteristic
1887C22×C4C23×D7111yescharacteristic
1888C22×C4C23×D7111yescharacteristic
1889C22×C4C23×D7111yescharacteristic
1890C22×C4C23×D7111yescharacteristic
1891C22×C4C23×D7111yescharacteristic
1892C4⋊C4—22no—
1893C4⋊C4—22no—
1894C4⋊C4—22no—
1895C4⋊C4—41no—
1896C4⋊C4—2841no—
1897C4⋊C4—2841no—
1898C4⋊C4—2841no—
1899C4⋊C4—1422no—
1900C4⋊C4—1422no—
1901C4⋊C4—1422no—
1902C4⋊C4—1422no—
1903C4⋊C4—1422no—
1904C4⋊C4—1422no—
1905C4⋊C4—1422no—
1906C4⋊C4—1422no—
1907C4⋊C4—1422no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—22no—
1911C22⋊C4—22no—
1912C22⋊C4—22no—
1913C22⋊C4—22no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—22no—
1917C22⋊C4—22no—
1918C22⋊C4—22no—
1919C22⋊C4—22no—
1920C22⋊C4—41no—
1921C22⋊C4—2841no—
1922C22⋊C4—2841no—
1923C22⋊C4—2841no—
1924C22⋊C4—714no—
1925C22⋊C4—714no—
1926C22⋊C4—714no—
1927C22⋊C4—714no—
1928C22⋊C4—714no—
1929C22⋊C4—714no—
1930C22⋊C4—1422no—
1931C22⋊C4—1422no—
1932C22⋊C4—1422no—
1933C22⋊C4—1422no—
1934C22⋊C4—1422no—
1935C22⋊C4—1422no—
1936C22⋊C4—1422no—
1937C22⋊C4—1422no—
1938C22⋊C4—1422no—
1939C22⋊C4—1422no—
1940C22⋊C4—1422no—
1941C22⋊C4—1422no—
1942C22⋊C4—1422no—
1943C22⋊C4—1422no—
1944C22⋊C4—1422no—
1945C22⋊C4—1422no—
1946C22⋊C4—1422no—
1947C22⋊C4—1422no—
1948C22⋊C4—1422no—
1949C22⋊C4—1422no—
1950C22⋊C4—1422no—
1951C22⋊C4—1422no—
1952C22⋊C4—1422no—
1953C22⋊C4—1422no—
1954C22⋊C4—1422no—
1955C22⋊C4—1422no—
1956C22⋊C4—1422no—
1957C22⋊C4—1422no—
1958C22⋊C4—1422no—
1959C22⋊C4—1422no—
1960C22⋊C4—1422no—
1961C22⋊C4—1422no—
1962C22⋊C4—1422no—
1963C22⋊C4—1422no—
1964C22⋊C4—1422no—
1965C22⋊C4—1422no—
1966C22⋊C4D4×D7114yescomplemented
1967C22⋊C4D4×D7114yescomplemented
1968C42—22no—
1969C42—1422no—
1970C42—1422no—
1971C42—1422no—
1972C23—21no—
1973C23—21no—
1974C23—21no—
1975C23—21no—
1976C23—28no—
1977C23—21no—
1978C23—21no—
1979C23—21no—
1980C23—21no—
1981C23—21no—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—21no—
2002C23—44no—
2003C23—44no—
2004C23—44no—
2005C23—44no—
2006C23—44no—
2007C23—44no—
2008C23—2844no—
2009C23—2844no—
2010C23—2844no—
2011C23—2844no—
2012C23—2844no—
2013C23—2844no—
2014C23—2844no—
2015C23—2844no—
2016C23—2844no—
2017C23—2844no—
2018C23—2844no—
2019C23—2844no—
2020C23—2844no—
2021C23—2844no—
2022C23—2844no—
2023C23—2844no—
2024C23—2844no—
2025C23—2844no—
2026C23—2844no—
2027C23—2844no—
2028C23—2844no—
2029C23—2844no—
2030C23—2844no—
2031C23—284128no—
2032C23—2844no—
2033C23—2844no—
2034C23—2844no—
2035C23—2844no—
2036C23—2844no—
2037C23—2844no—
2038C23—2844no—
2039C23—2844no—
2040C23—2844no—
2041C23—2844no—
2042C23—2844no—
2043C23—2844no—
2044C23—2844no—
2045C23—2844no—
2046C23—712no—
2047C23—712no—
2048C23—712no—
2049C23—712no—
2050C23—712no—
2051C23—712no—
2052C23—712no—
2053C23—712no—
2054C23—712no—
2055C23—712no—
2056C23—7116no—
2057C23—712no—
2058C23—712no—
2059C23—712no—
2060C23—1428no—
2061C23—1428no—
2062C23—1428no—
2063C23—1428no—
2064C23—1428no—
2065C23—1428no—
2066C23—1428no—
2067C23—1428no—
2068C23—1428no—
2069C23—1428no—
2070C23—1428no—
2071C23—1428no—
2072C23—1428no—
2073C23—1428no—
2074C23—1428no—
2075C23—1428no—
2076C23—1428no—
2077C23—1428no—
2078C23—1421no—
2079C23—1421no—
2080C23—1421no—
2081C23—1421no—
2082C23—1421no—
2083C23—1421no—
2084C23—1421no—
2085C23—1421no—
2086C23—1421no—
2087C23—1421no—
2088C23—1421no—
2089C23—1421no—
2090C23—1421no—
2091C23—1421no—
2092C23—1421no—
2093C23—1421no—
2094C23—1421no—
2095C23—1421no—
2096C23—1421no—
2097C23—1421no—
2098C23—1421no—
2099C23—1421no—
2100C23—1421no—
2101C23—1421no—
2102C23—1421no—
2103C23—1421no—
2104C23—1421no—
2105C23—1421no—
2106C23—1421no—
2107C23C2×D4×D7112yes—
2108C23C2×D4×D7112yes—
2109C23C2×D4×D7112yes—
2110C23C2×D4×D7112yes—
2111C23#41×D7112yes—
2112C23#41×D7112yes—
2113C23C24×D7111yescharacteristic
2114D4—28no—
2115D4—44no—
2116D4—44no—
2117D4—44no—
2118D4—44no—
2119D4—44no—
2120D4—44no—
2121D4—2844no—
2122D4—2844no—
2123D4—2844no—
2124D4—2844no—
2125D4—2844no—
2126D4—2844no—
2127D4—2844no—
2128D4—2844no—
2129D4—2844no—
2130D4—2844no—
2131D4—2844no—
2132D4—2844no—
2133D4—2844no—
2134D4—2844no—
2135D4—2844no—
2136D4—2844no—
2137D4—2844no—
2138D4—2844no—
2139D4—1428no—
2140D4—1428no—
2141D4—1428no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—21no—
2147C2×C4—21no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—21no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—21no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—21no—
2161C2×C4—21no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—21no—
2165C2×C4—21no—
2166C2×C4—21no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—2844no—
2171C2×C4—2844no—
2172C2×C4—2844no—
2173C2×C4—2844no—
2174C2×C4—2844no—
2175C2×C4—2844no—
2176C2×C4—2844no—
2177C2×C4—2844no—
2178C2×C4—2844no—
2179C2×C4—2844no—
2180C2×C4—2844no—
2181C2×C4—2844no—
2182C2×C4—2844no—
2183C2×C4—2844no—
2184C2×C4—712no—
2185C2×C4—712no—
2186C2×C4—712no—
2187C2×C4—712no—
2188C2×C4—712no—
2189C2×C4—1428no—
2190C2×C4—1428no—
2191C2×C4—1428no—
2192C2×C4—1428no—
2193C2×C4—1428no—
2194C2×C4—1421no—
2195C2×C4—1421no—
2196C2×C4—1421no—
2197C2×C4—1421no—
2198C2×C4—1421no—
2199C2×C4—1421no—
2200C2×C4—1421no—
2201C2×C4—1421no—
2202C2×C4—1421no—
2203C2×C4—1421no—
2204C2×C4—1421no—
2205C2×C4—1421no—
2206C2×C4—1421no—
2207C2×C4—1421no—
2208C2×C4—1421no—
2209C2×C4—1421no—
2210C2×C4—1421no—
2211C2×C4—1421no—
2212C2×C4—1421no—
2213C2×C4—1421no—
2214C2×C4—1421no—
2215C2×C4—1421no—
2216C2×C4—1421no—
2217C2×C4—1421no—
2218C2×C4—1421no—
2219C2×C4C2×D4×D7112yes—
2220C2×C4C2×D4×D7112yes—
2221C2×C4C2×D4×D7112yes—
2222C2×C4C2×D4×D7112yes—
2223C2×C4C2×D4×D7112yes—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—22no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—22no—
2233C22—22no—
2234C22—22no—
2235C22—22no—
2236C22—22no—
2237C22—22no—
2238C22—22no—
2239C22—416no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—41no—
2244C22—41no—
2245C22—41no—
2246C22—41no—
2247C22—41no—
2248C22—41no—
2249C22—41no—
2250C22—41no—
2251C22—41no—
2252C22—41no—
2253C22—41no—
2254C22—41no—
2255C22—41no—
2256C22—41no—
2257C22—41no—
2258C22—41no—
2259C22—28416no—
2260C22—28416no—
2261C22—28416no—
2262C22—28416no—
2263C22—28416no—
2264C22—28416no—
2265C22—2841no—
2266C22—2841no—
2267C22—2841no—
2268C22—2841no—
2269C22—2841no—
2270C22—2841no—
2271C22—2841no—
2272C22—2841no—
2273C22—2841no—
2274C22—2841no—
2275C22—2841no—
2276C22—2841no—
2277C22—2841no—
2278C22—2841no—
2279C22—2841no—
2280C22—2841no—
2281C22—2841no—
2282C22—2841no—
2283C22—2841no—
2284C22—5688no—
2285C22—714no—
2286C22—714no—
2287C22—714no—
2288C22—714no—
2289C22—714no—
2290C22—714no—
2291C22—714no—
2292C22—714no—
2293C22—14232no—
2294C22—1422no—
2295C22—1422no—
2296C22—1422no—
2297C22—1422no—
2298C22—1422no—
2299C22—1422no—
2300C22—1422no—
2301C22—1422no—
2302C22—1422no—
2303C22—1422no—
2304C22—1422no—
2305C22—1422no—
2306C22—1422no—
2307C22—1422no—
2308C22—1422no—
2309C22#121×D7114yescomplemented
2310C22C22×D4×D7111yescharacteristic
2311C22C22×D4×D7111yescharacteristic
2312C22C22×D4×D7111yescharacteristic
2313C22C2×#41×D7111yescharacteristic
2314C22C2×#41×D7111yescharacteristic
2315C22H(5,𝔽2)×D7111yescharacteristic
2316C22H(5,𝔽2)×D7111yescharacteristic
2317C4—22no—
2318C4—22no—
2319C4—22no—
2320C4—22no—
2321C4—22no—
2322C4—41no—
2323C4—41no—
2324C4—41no—
2325C4—41no—
2326C4—41no—
2327C4—2841no—
2328C4—2841no—
2329C4—2841no—
2330C4—2841no—
2331C4—2841no—
2332C4—1422no—
2333C4—1422no—
2334C4—1422no—
2335C4—1422no—
2336C4—1422no—
2337C2—24no—
2338C2—42no—
2339C2—42no—
2340C2—42no—
2341C2—81no—
2342C2—2842no—
2343C2—2842no—
2344C2—2842no—
2345C2—5681no—
2346C2—718no—
2347C2—1424no—
2348C2C2×#121×D7111yescharacteristic
2349C2#525×D7111yescharacteristic
2350C2#538×D7111yescharacteristic
2351C2D42×D7111yescharacteristic
2352C2D42×D7111yescharacteristic
2353C2#546×D7111yescharacteristic
2354C2#546×D7111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2424C2
hypercenter#2424D71
hypocenterC71C2×#2424
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#121×D71C2semidirect
2. C2×#121×D71C2semidirect
3. C2×#120×D71C2semidirect
4. C2×#120×D71C2semidirect
5. C2×C4×D4×D71C2semidirect
6. C22×C22⋊C4×D71C2semidirect
7. #22591883C2semidirect
8. #22591882C2semidirect
9. #22591881C2semidirect
10. #22591880C2semidirect
11. #22591879C2semidirect
12. #22591878C2semidirect
13. #22591877C2semidirect
14. #22591876C2semidirect
15. #22591875C2semidirect
16. #22591874C2semidirect
17. #22591873C2semidirect
18. #22591872C2semidirect
19. #22591871C2semidirect
20. #22591870C2semidirect
21. #22591869C2semidirect
22. #396×D71C2semidirect
23. #394×D71C2semidirect
24. #394×D71C2semidirect
25. #392×D71C2semidirect
26. #390×D71C2semidirect
27. #388×D71C2semidirect
28. #386×D71C2semidirect
29. #386×D71C2semidirect
30. #385×D71C2semidirect
31. C71×#2424C2semidirect
39. C22×D4×D71C22semidirect
42. C23×C4×D71C22semidirect
43. C2×#14556103C22semidirect
44. C2×#14556103C22semidirect
45. C2×#14556102C22semidirect
46. C2×#14556102C22semidirect
47. C2×#14556101C22semidirect
48. C2×#14556101C22semidirect
49. C2×#14556101C22semidirect
50. C2×#14556101C22semidirect
51. C2×#14556100C22semidirect
52. C2×#14556100C22semidirect
53. C2×#14556100C22semidirect
54. C2×#14556100C22semidirect
55. C2×#14556099C22semidirect
56. C2×#14556099C22semidirect
59. C2×#14556098C22semidirect
60. C2×#14556098C22semidirect
61. C2×#14556098C22semidirect
62. C2×#14556098C22semidirect
63. C2×#14556098C22semidirect
64. C2×#14556098C22semidirect
65. C2×#14556097C22semidirect
66. C2×#14556097C22semidirect
67. C2×#14556096C22semidirect
68. C2×#14556096C22semidirect
69. C2×#14556096C22semidirect
70. C2×#14556096C22semidirect
71. C2×#14556096C22semidirect
72. C2×#14556096C22semidirect
75. C2×C4×D284C22semidirect
76. C2×D4×Dic71C22semidirect
77. C2×#14556090C22semidirect
78. C2×C4×C22⋊D71C22semidirect
79. C2×C4×C22⋊D71C22semidirect
80. C2×(C22⋊D71)⋊C4C22semidirect
81. C2×(C22⋊D71)⋊C4C22semidirect
83. C2×C4⋊C4×D71C22semidirect
84. C2×C4⋊C4×D71C22semidirect
85. C2×C4⋊C4×D71C22semidirect
86. C2×C4⋊C4×D71C22semidirect
87. C22×C22⋊Dic71C22semidirect
88. C22×(C2×D71)⋊C4C22semidirect
89. C22×(C2×D71)⋊C4C22semidirect
101. C2×C22⋊C4×D71C22semidirect
102. C2×C22⋊C4×D71C22semidirect
103. C2×C22⋊C4×D71C22semidirect
104. C2×C22⋊C4×D71C22semidirect
105. C2×C22⋊C4×D71C22semidirect
106. C2×C22⋊C4×D71C22semidirect
107. C2×C22⋊C4×D71C22semidirect
108. C2×C22⋊C4×D71C22semidirect
109. C2×C22⋊C4×D71C22semidirect
110. C2×C42×D71C22semidirect
111. #17985923C22semidirect
112. #17985922C22semidirect
113. #17985922C22semidirect
114. #17985922C22semidirect
115. #17985921C22semidirect
116. #17985921C22semidirect
117. #17985921C22semidirect
118. #17985917C22semidirect
119. #17985917C22semidirect
120. #17985916C22semidirect
121. #17985916C22semidirect
122. #17985915C22semidirect
123. #17985915C22semidirect
124. #17985915C22semidirect
125. #17985915C22semidirect
126. #17985914C22semidirect
127. #17985914C22semidirect
128. #17985914C22semidirect
129. #17985914C22semidirect
130. #17985913C22semidirect
131. #17985913C22semidirect
132. #17985909C22semidirect
133. #17985908C22semidirect
134. #17985908C22semidirect
135. #17985908C22semidirect
136. #17985907C22semidirect
137. #17985907C22semidirect
138. #17985907C22semidirect
139. #17985902C22semidirect
140. #17985901C22semidirect
141. #17985900C22semidirect
142. #17985899C22semidirect
143. #17985899C22semidirect
144. #17985899C22semidirect
145. #17985899C22semidirect
146. #17985893C22semidirect
147. #17985892C22semidirect
148. #17985891C22semidirect
149. #17985890C22semidirect
150. #17985889C22semidirect
151. #17985888C22semidirect
152. #17985887C22semidirect
153. #17985879C22semidirect
154. #17985879C22semidirect
155. #17985878C22semidirect
156. #17985878C22semidirect
157. #17985877C22semidirect
158. #17985877C22semidirect
159. #17985877C22semidirect
160. #17985877C22semidirect
161. #17985876C22semidirect
162. #17985876C22semidirect
163. #17985875C22semidirect
164. #17985875C22semidirect
165. #17985875C22semidirect
166. #17985875C22semidirect
167. #17985874C22semidirect
168. #17985873C22semidirect
169. #17985873C22semidirect
170. #17985872C22semidirect
171. #17985871C22semidirect
172. #17985870C22semidirect
173. #17985870C22semidirect
174. #95×D71C22semidirect
175. #95×D71C22semidirect
176. #95×D71C22semidirect
177. #95×D71C22semidirect
178. C2×#121×C71C22semidirect
179. C2×#121×C71C22semidirect
180. C2×#120×C71C22semidirect
181. C2×#120×C71C22semidirect
182. C2×C4×D4×C71C22semidirect
183. C22×C22⋊C4×C71C22semidirect
184. #396×C71C22semidirect
185. #394×C71C22semidirect
186. #394×C71C22semidirect
187. #392×C71C22semidirect
188. #390×C71C22semidirect
189. #388×C71C22semidirect
190. #386×C71C22semidirect
191. #386×C71C22semidirect
192. #385×C71C22semidirect
214. C22×D284C23semidirect
227. C22×C22⋊D71C23semidirect
228. C22×C22⋊D71C23semidirect
249. C2×D4×D71D4semidirect
252. C23×Dic71C23semidirect
276. C22×C4×D71C23semidirect
277. C22×C4×D71C23semidirect
313. C2×C4⋊Dic71C23semidirect
314. C2×C4⋊Dic71C23semidirect
315. C2×C4⋊Dic71C23semidirect
316. C2×C4⋊Dic71C23semidirect
317. C2×Dic71⋊C4C23semidirect
318. C2×Dic71⋊C4C23semidirect
319. C2×Dic71⋊C4C23semidirect
320. C2×Dic71⋊C4C23semidirect
321. C2×Dic71⋊C4C23semidirect
322. C2×Dic71⋊C4C23semidirect
323. C2×Dic71⋊C4C23semidirect
324. C2×Dic71⋊C4C23semidirect
340. C2×C22⋊Dic71C23semidirect
341. C2×C22⋊Dic71C23semidirect
342. C2×C22⋊Dic71C23semidirect
343. C2×C22⋊Dic71C23semidirect
344. C2×C22⋊Dic71C23semidirect
367. C2×(C2×D71)⋊C4C23semidirect
368. C2×(C2×D71)⋊C4C23semidirect
369. C2×(C2×D71)⋊C4C23semidirect
370. C2×(C2×D71)⋊C4C23semidirect
371. C2×(C2×D71)⋊C4C23semidirect
372. C2×(C2×D71)⋊C4C23semidirect
373. C2×(C2×D71)⋊C4C23semidirect
374. C2×(C2×D71)⋊C4C23semidirect
375. C2×(C2×D71)⋊C4C23semidirect
376. C2×(C2×D71)⋊C4C23semidirect
394. C22⋊C4×D71D4semidirect
395. C22⋊C4×D71D4semidirect
396. C2×C4×Dic71C23semidirect
397. C2×C4×Dic71C23semidirect
398. C2×C4×Dic71C23semidirect
400. C71⋊#95C23semidirect
401. C71⋊#95C23semidirect
402. C71⋊#95C23semidirect
403. C71⋊#95C23semidirect
404. C71⋊#95C23semidirect
405. C71⋊#95C23semidirect
406. C71⋊#95C23semidirect
407. C71⋊#95C23semidirect
408. C71⋊#95C23semidirect
409. C71⋊#95C23semidirect
410. C71⋊#95C23semidirect
411. C71⋊#95C23semidirect
419. C22×D4×C71C23semidirect
422. C23×C4×C71C23semidirect
428. C2×C4⋊C4×C71C23semidirect
429. C2×C4⋊C4×C71C23semidirect
430. C2×C4⋊C4×C71C23semidirect
431. C2×C4⋊C4×C71C23semidirect
443. C2×C22⋊C4×C71C23semidirect
444. C2×C22⋊C4×C71C23semidirect
445. C2×C22⋊C4×C71C23semidirect
446. C2×C22⋊C4×C71C23semidirect
447. C2×C22⋊C4×C71C23semidirect
448. C2×C42×C71C23semidirect
449. #95×C71C23semidirect
450. #95×C71C23semidirect
451. #95×C71C23semidirect
452. #95×C71C23semidirect
542. C2×D284C2×D4semidirect
583. C2×C22⋊D71C2×D4semidirect
584. C2×C22⋊D71C2×D4semidirect
687. C22⋊Dic71C2×D4semidirect
688. C22⋊Dic71C2×D4semidirect
715. (C2×D71)⋊C4C2×D4semidirect
716. (C2×D71)⋊C4C2×D4semidirect
717. (C2×D71)⋊C4C2×D4semidirect
718. (C2×D71)⋊C4C2×D4semidirect
754. C2×D4×C71C2×D4semidirect
791. C22⋊C4×C71C2×D4semidirect
792. C22⋊C4×C71C2×D4semidirect
922. C22×D71#121semidirect
1081. C22×C71C2×#121semidirect
1132. C2×D71C2×#121semidirect
1177. D71#2424direct (N × H)
1199. #2424D71direct (N × H)
1209. C71C2×#2424semidirect
1237. C2×#121C2×D71semidirect
1238. C2×#121C2×D71semidirect
1255. C2×#120C2×D71semidirect
1256. C2×#120C2×D71semidirect
1265. C2×C4×D4C2×D71semidirect
1293. C22×C22⋊C4C2×D71semidirect
1302. #396C2×D71semidirect
1317. #394C2×D71semidirect
1318. #394C2×D71semidirect
1326. #392C2×D71semidirect
1334. #390C2×D71semidirect
1342. #388C2×D71semidirect
1357. #386C2×D71semidirect
1358. #386C2×D71semidirect
1366. #385C2×D71semidirect
1435. C22×D4C22×D71semidirect
1466. C23×C4C22×D71semidirect
1523. C2×C4⋊C4C22×D71semidirect
1524. C2×C4⋊C4C22×D71semidirect
1525. C2×C4⋊C4C22×D71semidirect
1526. C2×C4⋊C4C22×D71semidirect
1605. C2×C22⋊C4C22×D71semidirect
1606. C2×C22⋊C4C22×D71semidirect
1607. C2×C22⋊C4C22×D71semidirect
1608. C2×C22⋊C4C22×D71semidirect
1609. C2×C22⋊C4C22×D71semidirect
1614. C2×C42C22×D71semidirect
1627. #95C22×D71semidirect
1628. #95C22×D71semidirect
1629. #95C22×D71semidirect
1630. #95C22×D71semidirect
1802. C2×D4D4×D71semidirect
1966. C22⋊C4D4×D71semidirect
1967. C22⋊C4D4×D71semidirect
2309. C22#121×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D712
C2×#120×D712
C2×C4×D4×D712
C22×C22⋊C4×D712
#225918832
#225918822
#225918812
#225918802
#225918792
#225918782
#225918772
#225918762
#225918752
#225918742
#225918732
#225918722
#225918712
#225918702
#225918692
#396×D712
#394×D712
#392×D712
#390×D712
#388×D712
#386×D712
#385×D712
C71×#24242
C2×#242471