Finite Group Databasebeta

← #25303665

Subgroups — #25303665

Order 11008.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583486C211yesmaximal, characteristic, complemented
2C2×#14583409C211yesmaximal, characteristic, complemented
3#19142888C211yesmaximal, characteristic, complemented
4#19142876C211yesmaximal, characteristic, complemented
5#19141265C211yesmaximal, characteristic, complemented
6#19141222C211yesmaximal, characteristic, complemented
7#19141193C211yesmaximal, characteristic, complemented
8#19141016C211yesmaximal, characteristic, complemented
9#19140963C211yesmaximal, characteristic, complemented
10#19140951C211yesmaximal, characteristic, complemented
11#19140945C211yesmaximal, characteristic, complemented
12#19140930C211yesmaximal, characteristic, complemented
13#19140926C211yesmaximal, characteristic, complemented
14#19140923C211yesmaximal, characteristic, complemented
15#19140923C211yesmaximal, characteristic, complemented
16#19140850C211yesmaximal, characteristic, complemented
17#19140823C211yesmaximal, characteristic, complemented
18#19140814C211yesmaximal, characteristic, complemented
19#19140806C211yesmaximal, characteristic, complemented
20#19140478C211yesmaximal, characteristic, complemented
21#19140433C211yesmaximal, characteristic, complemented
22#19140281C211yesmaximal, characteristic, complemented
23#19140220C211yesmaximal, characteristic, complemented
24#19140187C211yesmaximal, characteristic, complemented
25#19140178C211yesmaximal, characteristic, complemented
26#19139561C211yesmaximal, characteristic, complemented
27#19139490C211yesmaximal, characteristic, complemented
28#19137933C211yesmaximal, characteristic, complemented
29#19137913C211yesmaximal, characteristic, complemented
30#19137232C211yesmaximal, characteristic, complemented
31C43×#2699C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic, complemented
34#14583486—28no—
35C2×#13063321C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063320C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic
39C2×#13063311C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic, complemented
41#14583409—28no—
42C2×#13063309C2211yescharacteristic
43C2×#13063309C2211yescharacteristic, complemented
44C2×#13063308C2211yescharacteristic
45C2×#13063308C2211yescharacteristic
46C2×#13063307C2211yescharacteristic
47C2×#13063307C2211yescharacteristic, complemented
48C2×#13063305C2211yescharacteristic, complemented
49C2×#13063304C2211yescharacteristic, complemented
50C2×#13063304C2211yescharacteristic, complemented
51C2×#13063302C2211yescharacteristic, complemented
52C2×#13063298C2211yescharacteristic
53C2×#13063298C2211yescharacteristic
54C2×#13063297C2211yescharacteristic
55C2×#13063297C2211yescharacteristic
56C2×#13063297C2211yescharacteristic, complemented
57C2×#13063296C2211yescharacteristic
58C2×#13063295C2211yescharacteristic
59C2×#13063295C2211yescharacteristic
60C2×#13063295C2211yescharacteristic
61C2×#13063295C2211yescharacteristic
62C2×#13063293C2211yescharacteristic
63C2×#13063293C2211yescharacteristic
64C2×#13063293C2211yescharacteristic, complemented
65C2×#13063293C2211yescharacteristic, complemented
66C2×#13063293C2211yescharacteristic, complemented
67C2×#13063293C2211yescharacteristic, complemented
68C2×D4×Dic43C2211yescharacteristic
69C2×D4×Dic43C2211yescharacteristic, complemented
70C2×D4×Dic43C2211yescharacteristic, complemented
71C2×(C22⋊D43)⋊C4C2211yescharacteristic
72C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
73C2×#13063283C2211yescharacteristic, complemented
74C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
75#14582841C2211yescharacteristic, complemented
76#14582835C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582831C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582827C2211yescharacteristic, complemented
81#14582827C2211yescharacteristic, complemented
82#14582823C2211yescharacteristic, complemented
83#14582823C2211yescharacteristic, complemented
84#14582822C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582820C2211yescharacteristic, complemented
89#14582817C2211yescharacteristic
90#14582817C2211yescharacteristic
91#14582816C2211yescharacteristic
92#14582816C2211yescharacteristic
93#14582815C2211yescharacteristic
94#14582815C2211yescharacteristic
95#14582815C2211yescharacteristic
96#14582815C2211yescharacteristic
97#14582815C2211yescharacteristic, complemented
98#14582815C2211yescharacteristic, complemented
99#14582815C2211yescharacteristic, complemented
100#14582815C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582813C2211yescharacteristic, complemented
104#14582813C2211yescharacteristic, complemented
105#14582812C2211yescharacteristic, complemented
106#14582812C2211yescharacteristic, complemented
107#14582812C2211yescharacteristic, complemented
108#14582808C2211yescharacteristic
109#14582808C2211yescharacteristic
110#14582808C2211yescharacteristic
111#14582808C2211yescharacteristic
112#14582807C2211yescharacteristic
113#14582807C2211yescharacteristic
114#14582807C2211yescharacteristic
115#14582807C2211yescharacteristic
116#14582807C2211yescharacteristic, complemented
117#14582803C2211yescharacteristic, complemented
118#14582803C2211yescharacteristic, complemented
119#14582802C2211yescharacteristic
120#14582801C2211yescharacteristic
121#14582801C2211yescharacteristic
122#14582800C2211yescharacteristic
123#14582799C2211yescharacteristic, complemented
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582799C2211yescharacteristic, complemented
127#14582797C2211yescharacteristic, complemented
128#14582796C2211yescharacteristic, complemented
129#14582795C2211yescharacteristic, complemented
130#14582793C2211yescharacteristic, complemented
131#14582793C2211yescharacteristic, complemented
132#14582792C2211yescharacteristic, complemented
133#14582791C2211yescharacteristic, complemented
134#14582789C2211yescharacteristic, complemented
135#14582789C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582788C2211yescharacteristic, complemented
138#14582788C2211yescharacteristic, complemented
139#14582788C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic, complemented
141#14582787C2211yescharacteristic, complemented
142#14582785C2211yescharacteristic, complemented
143#14582782C2211yescharacteristic, complemented
144#14582779C2211yescharacteristic, complemented
145#14582778C2211yescharacteristic
146#14582778C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic
149#14582777C2211yescharacteristic
150#14582777C2211yescharacteristic
151#14582777C2211yescharacteristic
152#14582777C2211yescharacteristic
153#14582776C2211yescharacteristic, complemented
154#14582776C2211yescharacteristic, complemented
155#14582776C2211yescharacteristic, complemented
156#14582775C2211yescharacteristic, complemented
157#14582775C2211yescharacteristic, complemented
158#14582774C2211yescharacteristic, complemented
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582773C2211yescharacteristic, complemented
162#14582773C2211yescharacteristic, complemented
163#14582771C2211yescharacteristic, complemented
164#14582760C2211yescharacteristic, complemented
165#14582760C2211yescharacteristic, complemented
166#14582758C2211yescharacteristic, complemented
167#14582758C2211yescharacteristic, complemented
168#14582757C2211yescharacteristic, complemented
169#14582757C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic, complemented
172C4⋊C4×Dic43C2211yescharacteristic, complemented
173#14582745C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic, complemented
177C43×#394C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic, complemented
180C43×#392C2211yescharacteristic, complemented
181C43×#392C2211yescharacteristic, complemented
182C43×#390C2211yescharacteristic
183C43×#388C2211yescharacteristic, complemented
184C43×#388C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic, complemented
187C43×#381C2211yescharacteristic, complemented
188C43×#381C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C2×#10621900—24no—
192C2×#10621900—42no—
193C2×#10621900—42no—
194C22×Dic86C2311yescharacteristic
195C22×Dic86C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C23×Dic43C2311yescharacteristic
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2311yescharacteristic
216C22×C4×D43—24no—
217C22×C4×D43—42no—
218C22×C4×D43—42no—
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223#13063321—42no—
224#13063320—24no—
225#13063320—24no—
226#13063311—24no—
227#13063311—24no—
228#13063311—42no—
229#13063309—24no—
230#13063309—24no—
231#13063308—42no—
232#13063308—42no—
233#13063307—24no—
234#13063307—24no—
235#13063305—24no—
236#13063304—24no—
237#13063304—24no—
238#13063302—42no—
239#13063298—42no—
240#13063298—42no—
241#13063297—24no—
242#13063297—24no—
243#13063297—42no—
244#13063296—24no—
245#13063295—42no—
246#13063295—42no—
247#13063295—42no—
248#13063295—42no—
249#13063293—24no—
250#13063293—24no—
251#13063293—24no—
252#13063293—24no—
253#13063293—42no—
254#13063293—42no—
255D4×Dic43—24no—
256D4×Dic43—24no—
257D4×Dic43D418yescomplemented
258(C22⋊D43)⋊C4—24no—
259(C22⋊D43)⋊C4—24no—
260#13063283—24no—
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×C4⋊Dic43C2311yescharacteristic
264C2×C4⋊Dic43C2311yescharacteristic
265C2×C4⋊Dic43C2311yescharacteristic
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×(C2×D43)⋊C4—24no—
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C2×C4×Dic43C2311yescharacteristic
330C2×C4×Dic43C2311yescharacteristic
331C2×C4×Dic43C2311yescharacteristic
332C2×C4×Dic43C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×D4×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C22×D4×C43C2311yescharacteristic
358C22×D4×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C23×C4×C43C2311yescharacteristic
361C23×C4×C43C2311yescharacteristic
362#121×C43—24no—
363#121×C43—24no—
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C42×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—22no—
417C2×D4×C43—22no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
428C2×D4×C43—41no—
429C2×D4×C43—41no—
430C2×D4×C43C2×D414yes—
431C22×C4×C43—22no—
432C22×C4×C43—22no—
433C22×C4×C43—22no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C2×C22⋊D43—41no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
483C2×C22⋊D43—41no—
484C22×Dic43—22no—
485C22×Dic43—22no—
486C22×Dic43—41no—
487C22×Dic43—41no—
488C22×Dic43—41no—
489C22×Dic43—41no—
490C22×Dic43—41no—
491C22×Dic43—41no—
492C22×Dic43—41no—
493C22×Dic43—41no—
494C22×Dic43C2×D414yes—
495C22×Dic43C2×D414yes—
496C22×Dic43C2411yescharacteristic
497C22×Dic43C2411yescharacteristic
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2411yescharacteristic
504C22×Dic43C2411yescharacteristic
505C22×Dic43C2411yescharacteristic
506C22×Dic43C2411yescharacteristic
507C22×Dic43C2411yescharacteristic
508#10621900—416no—
509C2×D172—22no—
510C2×D172—22no—
511C2×D172—22no—
512C2×D172—22no—
513C2×D172—41no—
514C2×D172—41no—
515C2×D172—41no—
516C2×D172—41no—
517C2×D172—41no—
518C2×D172—41no—
519C2×D172—41no—
520C2×D172—41no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—416no—
534C2×Dic86—22no—
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—41no—
538C2×Dic86—41no—
539C2×Dic86—41no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—41no—
543C4⋊C4×C43—41no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C42×C43—41no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—22no—
563C22⋊Dic43—41no—
564C22⋊Dic43—41no—
565C22⋊Dic43—41no—
566C22⋊Dic43—41no—
567C22⋊Dic43—41no—
568C22⋊Dic43—41no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
571C22⋊Dic43C2×D414yes—
572C22⋊Dic43C2×D414yes—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605C4⋊Dic43—22no—
606C4⋊Dic43—22no—
607C4⋊Dic43—22no—
608C4⋊Dic43—22no—
609C4⋊Dic43—41no—
610C4⋊Dic43—41no—
611C4⋊Dic43—41no—
612C4⋊Dic43C2×D414yes—
613Dic43⋊C4—22no—
614Dic43⋊C4—22no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—41no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625C4×Dic43—22no—
626C4×Dic43—22no—
627C4×Dic43—41no—
628C4×Dic43—41no—
629C4×Dic43—41no—
630C4×Dic43C2×D414yes—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43C22×D412yes—
658C23×C43C22×D412yes—
659C23×C43C2511yescharacteristic
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—44no—
694C22×D43—82no—
695C22×D43—82no—
696C22×D43—82no—
697C22×D43—82no—
698C22×D43—82no—
699C22×D43—82no—
700C22×D43H(5,𝔽2)12yes—
701C22×D43H(5,𝔽2)12yes—
702D4×C43—44no—
703D4×C43—44no—
704D4×C43—44no—
705D4×C43—44no—
706D4×C43—82no—
707D4×C43—82no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—44no—
740C2×C4×C43—82no—
741C2×C4×C43C22×D412yes—
742C2×C4×C43H(5,𝔽2)12yes—
743C22⋊D43—44no—
744C22⋊D43—44no—
745C22⋊D43—44no—
746C22⋊D43—44no—
747C22⋊D43—82no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C22⋊D43—82no—
754C22⋊D43—82no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—44no—
788C2×Dic43—44no—
789C2×Dic43—44no—
790C2×Dic43—82no—
791C2×Dic43C22×D412yes—
792C2×Dic43C22×D412yes—
793C2×Dic43C22×D412yes—
794C2×Dic43C22×D412yes—
795D172—82no—
796D172—82no—
797D172—82no—
798D172—82no—
799C4×D43—28no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—44no—
803Dic86—44no—
804Dic86—82no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43C23×D411yescharacteristic
835C22×C43C2×H(5,𝔽2)11yescharacteristic
836C22×C43C2×H(5,𝔽2)11yescharacteristic
837C22×C43C2×H(5,𝔽2)11yescharacteristic
838C22×C43#58511yescharacteristic
839C22×C43#58511yescharacteristic
840C22×C43#58511yescharacteristic
841C2×D43—22no—
842C2×D43—22no—
843C2×D43—22no—
844C2×D43—22no—
845C2×D43—22no—
846C2×D43—22no—
847C2×D43—416no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—88no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882Dic43—22no—
883Dic43—22no—
884Dic43—22no—
885Dic43—22no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894C2×#538—431no—
895C2×#525—431no—
896#2849—431no—
897#2847—431no—
898#2705—431no—
899#2702—431no—
900#2700—431no—
901#2699D4311yescharacteristic, complemented
902#2687—431no—
903#2682—431no—
904#2681—431no—
905#2681—431no—
906#2679—431no—
907#2678—431no—
908#2678—431no—
909#2678—431no—
910#2672—431no—
911#2670—431no—
912#2669—431no—
913#2669—431no—
914#2635—431no—
915#2630—431no—
916#2610—431no—
917#2603—431no—
918#2601—431no—
919#2600—431no—
920#2544—431no—
921#2534—431no—
922#2407—431no—
923#2404—431no—
924#2319—431no—
925C2×C43—42no—
926C2×C43—42no—
927C2×C43—81no—
928C2×C43—81no—
929C2×C43#344911yescharacteristic
930C2×C43#348411yescharacteristic
931C2×C43#348811yescharacteristic
932C2×C43#353311yescharacteristic
933C2×C43#353411yescharacteristic
934C2×C43#354011yescharacteristic
935C2×C43#354211yescharacteristic
936D43—42no—
937D43—42no—
938D43—81no—
939D43—81no—
940C22×#41—431no—
941C24×C4—431no—
942#538—868no—
943C2×#127—431no—
944C2×#126—431no—
945C2×#126—431no—
946C2×#124—431no—
947C2×#124—431no—
948C2×#124—431no—
949#525—868no—
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123—431no—
955C2×#123—431no—
956C2×C22⋊Q8—431no—
957C2×C22⋊Q8—431no—
958C2×C22⋊Q8—431no—
959C2×C22⋊Q8—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121C2×D4311yescharacteristic
967C2×#121C2×D4311yescharacteristic
968C2×#120—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×#120—431no—
976C2×#120—431no—
977C2×#120—431no—
978C2×C4×D4—431no—
979C2×C4×D4—431no—
980C2×C4×D4—431no—
981C2×C4×D4—431no—
982C2×C4×D4—431no—
983C2×#117—431no—
984C22×C22⋊C4—431no—
985#400—431no—
986#399—431no—
987#398—431no—
988#398—431no—
989#398C2×D4311yescharacteristic, complemented
990#397—431no—
991#397—431no—
992#397—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#395—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394—431no—
1014#394—431no—
1015#394—431no—
1016#394C2×D4311yescharacteristic, complemented
1017#394C2×D4311yescharacteristic, complemented
1018#394C2×D4311yescharacteristic, complemented
1019#393—431no—
1020#393—431no—
1021#393—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392—431no—
1030#392—431no—
1031#392C2×D4311yescharacteristic, complemented
1032#392C2×D4311yescharacteristic, complemented
1033#391—431no—
1034#391—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#390—431no—
1042#390—431no—
1043#390C2×D4311yescharacteristic
1044#389—431no—
1045#389—431no—
1046#389—431no—
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388C2×D4311yescharacteristic, complemented
1060#388C2×D4311yescharacteristic, complemented
1061#387—431no—
1062#387—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386C2×D4311yescharacteristic, complemented
1078#386C2×D4311yescharacteristic, complemented
1079#385—431no—
1080#385—431no—
1081#385—431no—
1082#385—431no—
1083#385—431no—
1084#385—431no—
1085#381—431no—
1086#381—431no—
1087#381C2×D4311yescharacteristic, complemented
1088#381C2×D4311yescharacteristic, complemented
1089#380—431no—
1090#380—431no—
1091#380—431no—
1092#380—431no—
1093#379—431no—
1094#379—431no—
1095C4×C4⋊C4—431no—
1096#376—431no—
1097C43#3672411yescharacteristic, complemented, Sylow
1098C25—431no—
1099C25—431no—
1100C2×#41—864no—
1101C2×#41—1722no—
1102C2×#41—1722no—
1103C22×Q8—431no—
1104C22×Q8—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4C22×D4311yescharacteristic
1122C22×D4C22×D4311yescharacteristic
1123C22×D4C22×D4311yescharacteristic
1124C22×D4C22×D4311yescharacteristic
1125C22×D4C22×D4311yescharacteristic
1126C22×D4C22×D4311yescharacteristic
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4—1722no—
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—864no—
1142#126—864no—
1143#124—864no—
1144#124—864no—
1145#124—1722no—
1146#123—864no—
1147#123—864no—
1148#123—864no—
1149#123—864no—
1150#123—1722no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154C22⋊Q8—864no—
1155C22⋊Q8—1722no—
1156#121—24no—
1157#121—24no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—1722no—
1162#121—1722no—
1163#121—1722no—
1164#120—864no—
1165#120—864no—
1166#120—864no—
1167#120—864no—
1168#120—1722no—
1169#120—1722no—
1170#120—1722no—
1171#120—1722no—
1172#120—1722no—
1173#120—1722no—
1174C4×D4—438no—
1175C4×D4—864no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4—864no—
1179#117—864no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4—431no—
1198C2×C4⋊C4—431no—
1199C2×C4⋊C4—431no—
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—864no—
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4C22×D4311yescharacteristic
1262C2×C22⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4C22×D4311yescharacteristic
1264C2×C22⋊C4C22×D4311yescharacteristic
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—431no—
1268C2×C42—431no—
1269C2×C42—431no—
1270C2×C42—431no—
1271C2×C42C22×D4311yescharacteristic
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297#95C22×D4311yescharacteristic
1298#95C22×D4311yescharacteristic
1299#95C22×D4311yescharacteristic
1300C24—431no—
1301C24—431no—
1302C24—431no—
1303C24—431no—
1304C24—862no—
1305C24—862no—
1306C24—862no—
1307C24—862no—
1308C24—1721no—
1309C24—1721no—
1310C24—1721no—
1311C24—1721no—
1312C24—1721no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24—1721no—
1318C24C23×D4311yescharacteristic
1319C24C23×D4311yescharacteristic
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—17216no—
1323C2×Q8—862no—
1324C2×Q8—862no—
1325C2×Q8—862no—
1326C2×Q8—1721no—
1327C2×Q8—1721no—
1328C2×Q8—1721no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4D4×D4314yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—434no—
1406C22×C4—434no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—431no—
1412C22×C4—431no—
1413C22×C4—431no—
1414C22×C4—431no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—862no—
1423C22×C4—862no—
1424C22×C4—862no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—17216no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4C23×D4311yescharacteristic
1439C22×C4C23×D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—434no—
1454C4⋊C4—862no—
1455C4⋊C4—862no—
1456C4⋊C4—862no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—1721no—
1464C4⋊C4—1721no—
1465C4⋊C4—1721no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4—1721no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—434no—
1488C22⋊C4—434no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—862no—
1509C22⋊C4—862no—
1510C22⋊C4—862no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4—1721no—
1532C22⋊C4—1721no—
1533C42—41no—
1534C42—434no—
1535C42—862no—
1536C42—862no—
1537C42—1721no—
1538C42—1721no—
1539C42—1721no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—432no—
1567C23—432no—
1568C23—861no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—3442no—
1595C23—3442no—
1596C23—3442no—
1597C23—3442no—
1598C23—3442no—
1599C23—3442no—
1600C23—1724no—
1601C23—1724no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23C2×D4×D4312yes—
1609C23C2×D4×D4312yes—
1610C23C24×D4311yescharacteristic
1611Q8—3442no—
1612Q8—1724no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—82no—
1618D4—82no—
1619D4—3442no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—3442no—
1628D4—3442no—
1629D4—3442no—
1630D4—3442no—
1631D4—1724no—
1632D4—1724no—
1633D4—1724no—
1634D4—1724no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—44no—
1667C2×C4—82no—
1668C2×C4—432no—
1669C2×C4—432no—
1670C2×C4—432no—
1671C2×C4—432no—
1672C2×C4—868no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—3442no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4—1724no—
1709C2×C4—1724no—
1710C2×C4—1724no—
1711C2×C4—1724no—
1712C2×C4C2×D4×D4312yes—
1713C2×C4#1306337112yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—862no—
1743C22—862no—
1744C22—862no—
1745C22—862no—
1746C22—862no—
1747C22—862no—
1748C22—3448no—
1749C22—17216no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22—1721no—
1770C22—1721no—
1771C22—1721no—
1772C22C22×D4×D4311yescharacteristic
1773C22H(5,𝔽2)×D4311yescharacteristic
1774C22H(5,𝔽2)×D4311yescharacteristic
1775C22C2×#1306337111yescharacteristic
1776C22#1458373411yescharacteristic
1777C22#1458373411yescharacteristic
1778C22#1458373511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—862no—
1791C4—862no—
1792C4—862no—
1793C4—862no—
1794C4—1721no—
1795C4—1721no—
1796C4—1721no—
1797C4—1721no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—3441no—
1807C2—3441no—
1808C2—1722no—
1809C2—1722no—
1810C2#1914792111yescharacteristic
1811C2#1914822511yescharacteristic
1812C2#1914825811yescharacteristic
1813C2#1914875511yescharacteristic
1814C2#1914877611yescharacteristic
1815C2#1914886511yescharacteristic
1816C2#1914891711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2699C2
hypercenter#2699D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2699

Complements

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

NH ≅ G/Ntype
1. C2×#14583486C2semidirect
2. C2×#14583409C2semidirect
3. #19142888C2semidirect
4. #19142876C2semidirect
5. #19141265C2semidirect
6. #19141222C2semidirect
7. #19141193C2semidirect
8. #19141016C2semidirect
9. #19140963C2semidirect
10. #19140951C2semidirect
11. #19140945C2semidirect
12. #19140930C2semidirect
13. #19140926C2semidirect
14. #19140923C2semidirect
15. #19140923C2semidirect
16. #19140850C2semidirect
17. #19140823C2semidirect
18. #19140814C2semidirect
19. #19140806C2semidirect
20. #19140478C2semidirect
21. #19140433C2semidirect
22. #19140281C2semidirect
23. #19140220C2semidirect
24. #19140187C2semidirect
25. #19140178C2semidirect
26. #19139561C2semidirect
27. #19139490C2semidirect
28. #19137933C2semidirect
29. #19137913C2semidirect
30. #19137232C2semidirect
31. C43×#2699C2semidirect
33. C23×C4×D43C22semidirect
36. C2×#13063320C22semidirect
37. C2×#13063320C22semidirect
39. C2×#13063311C22semidirect
40. C2×#13063311C22semidirect
43. C2×#13063309C22semidirect
47. C2×#13063307C22semidirect
48. C2×#13063305C22semidirect
49. C2×#13063304C22semidirect
50. C2×#13063304C22semidirect
51. C2×#13063302C22semidirect
56. C2×#13063297C22semidirect
64. C2×#13063293C22semidirect
65. C2×#13063293C22semidirect
66. C2×#13063293C22semidirect
67. C2×#13063293C22semidirect
69. C2×D4×Dic43C22semidirect
70. C2×D4×Dic43C22semidirect
72. C2×(C22⋊D43)⋊C4C22semidirect
73. C2×#13063283C22semidirect
74. C22×(C2×D43)⋊C4C22semidirect
75. #14582841C22semidirect
76. #14582835C22semidirect
77. #14582833C22semidirect
78. #14582831C22semidirect
79. #14582828C22semidirect
80. #14582827C22semidirect
81. #14582827C22semidirect
82. #14582823C22semidirect
83. #14582823C22semidirect
84. #14582822C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
88. #14582820C22semidirect
97. #14582815C22semidirect
98. #14582815C22semidirect
99. #14582815C22semidirect
100. #14582815C22semidirect
101. #14582814C22semidirect
102. #14582814C22semidirect
103. #14582813C22semidirect
104. #14582813C22semidirect
105. #14582812C22semidirect
106. #14582812C22semidirect
107. #14582812C22semidirect
116. #14582807C22semidirect
117. #14582803C22semidirect
118. #14582803C22semidirect
123. #14582799C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582799C22semidirect
127. #14582797C22semidirect
128. #14582796C22semidirect
129. #14582795C22semidirect
130. #14582793C22semidirect
131. #14582793C22semidirect
132. #14582792C22semidirect
133. #14582791C22semidirect
134. #14582789C22semidirect
135. #14582789C22semidirect
136. #14582789C22semidirect
137. #14582788C22semidirect
138. #14582788C22semidirect
139. #14582788C22semidirect
140. #14582787C22semidirect
141. #14582787C22semidirect
142. #14582785C22semidirect
143. #14582782C22semidirect
144. #14582779C22semidirect
153. #14582776C22semidirect
154. #14582776C22semidirect
155. #14582776C22semidirect
156. #14582775C22semidirect
157. #14582775C22semidirect
158. #14582774C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
161. #14582773C22semidirect
162. #14582773C22semidirect
163. #14582771C22semidirect
164. #14582760C22semidirect
165. #14582760C22semidirect
166. #14582758C22semidirect
167. #14582758C22semidirect
168. #14582757C22semidirect
169. #14582757C22semidirect
170. #14582754C22semidirect
171. #14582754C22semidirect
172. C4⋊C4×Dic43C22semidirect
173. #14582745C22semidirect
176. C43×#398C22semidirect
177. C43×#394C22semidirect
178. C43×#394C22semidirect
179. C43×#394C22semidirect
180. C43×#392C22semidirect
181. C43×#392C22semidirect
183. C43×#388C22semidirect
184. C43×#388C22semidirect
185. C43×#386C22semidirect
186. C43×#386C22semidirect
187. C43×#381C22semidirect
188. C43×#381C22semidirect
257. D4×Dic43D4semidirect
901. #2699D43semidirect
989. #398C2×D43semidirect
1016. #394C2×D43semidirect
1017. #394C2×D43semidirect
1018. #394C2×D43semidirect
1031. #392C2×D43semidirect
1032. #392C2×D43semidirect
1059. #388C2×D43semidirect
1060. #388C2×D43semidirect
1077. #386C2×D43semidirect
1078. #386C2×D43semidirect
1087. #381C2×D43semidirect
1088. #381C2×D43semidirect
1097. C43#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#145834862
C2×#145834092
#191428882
#191428762
#191412652
#191412222
#191411932
#191410162
#191409632
#191409512
#191409452
#191409302
#191409262
#191409232
#191408502
#191408232
#191408142
#191408062
#191404782
#191404332
#191402812
#191402202
#191401872
#191401782
#191395612
#191394902
#191379332
#191379132
#191372322
C43×#26992
#3672443