Finite Group Databasebeta

← #25303487

Subgroups — #25303487

Order 11008.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583408C211yesmaximal, characteristic, complemented
2#19142884C211yesmaximal, characteristic, complemented
3#19142874C211yesmaximal, characteristic, complemented
4#19141109C211yesmaximal, characteristic, complemented
5#19141100C211yesmaximal, characteristic, complemented
6#19141055C211yesmaximal, characteristic, complemented
7#19141025C211yesmaximal, characteristic, complemented
8#19141010C211yesmaximal, characteristic, complemented
9#19140914C211yesmaximal, characteristic, complemented
10#19140890C211yesmaximal, characteristic, complemented
11#19140885C211yesmaximal, characteristic, complemented
12#19140856C211yesmaximal, characteristic, complemented
13#19140855C211yesmaximal, characteristic, complemented
14#19140840C211yesmaximal, characteristic, complemented
15#19140831C211yesmaximal, characteristic, complemented
16#19140826C211yesmaximal, characteristic, complemented
17#19140808C211yesmaximal, characteristic, complemented
18#19140807C211yesmaximal, characteristic, complemented
19#19140798C211yesmaximal, characteristic, complemented
20#19140480C211yesmaximal, characteristic, complemented
21#19140434C211yesmaximal, characteristic, complemented
22#19140267C211yesmaximal, characteristic, complemented
23#19140209C211yesmaximal, characteristic, complemented
24#19140161C211yesmaximal, characteristic, complemented
25#19140155C211yesmaximal, characteristic, complemented
26#19139557C211yesmaximal, characteristic, complemented
27#19139496C211yesmaximal, characteristic, complemented
28#19138215C211yesmaximal, characteristic, complemented
29#19138207C211yesmaximal, characteristic, complemented
30#19137228C211yesmaximal, characteristic, complemented
31C2×C43×#540C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063321C2211yescharacteristic
35C2×#13063312C2211yescharacteristic, complemented
36#14583408—28no—
37C2×#13063310C2211yescharacteristic
38C2×#13063307C2211yescharacteristic
39C2×#13063306C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063302C2211yescharacteristic
42C2×#13063299C2211yescharacteristic
43C2×#13063299C2211yescharacteristic
44C2×#13063298C2211yescharacteristic
45C2×#13063297C2211yescharacteristic
46C2×#13063297C2211yescharacteristic
47C2×#13063297C2211yescharacteristic
48C2×#13063297C2211yescharacteristic
49C2×#13063297C2211yescharacteristic, complemented
50C2×#13063296C2211yescharacteristic
51C2×#13063296C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063293C2211yescharacteristic
54C2×#13063293C2211yescharacteristic
55C2×#13063293C2211yescharacteristic
56C2×#13063293C2211yescharacteristic
57C2×C4×D172C2211yescharacteristic
58C2×C4×C22⋊D43C2211yescharacteristic
59C2×C4×C22⋊D43C2211yescharacteristic
60C2×#13063282C2211yescharacteristic
61#14582838C2211yescharacteristic, complemented
62#14582837C2211yescharacteristic, complemented
63#14582837C2211yescharacteristic, complemented
64#14582835C2211yescharacteristic, complemented
65#14582834C2211yescharacteristic
66#14582834C2211yescharacteristic, complemented
67#14582832C2211yescharacteristic, complemented
68#14582832C2211yescharacteristic, complemented
69#14582830C2211yescharacteristic, complemented
70#14582827C2211yescharacteristic
71#14582827C2211yescharacteristic, complemented
72#14582825C2211yescharacteristic
73#14582825C2211yescharacteristic
74#14582825C2211yescharacteristic, complemented
75#14582822C2211yescharacteristic, complemented
76#14582822C2211yescharacteristic, complemented
77#14582821C2211yescharacteristic
78#14582821C2211yescharacteristic, complemented
79#14582819C2211yescharacteristic, complemented
80#14582816C2211yescharacteristic
81#14582816C2211yescharacteristic
82#14582815C2211yescharacteristic
83#14582815C2211yescharacteristic, complemented
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582813C2211yescharacteristic
87#14582813C2211yescharacteristic
88#14582813C2211yescharacteristic
89#14582813C2211yescharacteristic, complemented
90#14582813C2211yescharacteristic, complemented
91#14582813C2211yescharacteristic, complemented
92#14582813C2211yescharacteristic, complemented
93#14582811C2211yescharacteristic, complemented
94#14582808C2211yescharacteristic
95#14582808C2211yescharacteristic
96#14582807C2211yescharacteristic
97#14582807C2211yescharacteristic
98#14582807C2211yescharacteristic
99#14582807C2211yescharacteristic
100#14582807C2211yescharacteristic
101#14582807C2211yescharacteristic
102#14582807C2211yescharacteristic
103#14582807C2211yescharacteristic
104#14582807C2211yescharacteristic
105#14582807C2211yescharacteristic, complemented
106#14582807C2211yescharacteristic, complemented
107#14582807C2211yescharacteristic, complemented
108#14582807C2211yescharacteristic, complemented
109#14582804C2211yescharacteristic, complemented
110#14582800C2211yescharacteristic
111#14582799C2211yescharacteristic
112#14582794C2211yescharacteristic, complemented
113#14582793C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic
115#14582792C2211yescharacteristic
116#14582790C2211yescharacteristic
117#14582790C2211yescharacteristic
118#14582790C2211yescharacteristic, complemented
119#14582789C2211yescharacteristic
120#14582787C2211yescharacteristic, complemented
121#14582787C2211yescharacteristic, complemented
122#14582787C2211yescharacteristic, complemented
123#14582785C2211yescharacteristic, complemented
124#14582785C2211yescharacteristic, complemented
125#14582783C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic, complemented
132#14582779C2211yescharacteristic, complemented
133#14582778C2211yescharacteristic
134#14582778C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic, complemented
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic, complemented
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic, complemented
149#14582775C2211yescharacteristic, complemented
150#14582775C2211yescharacteristic, complemented
151#14582774C2211yescharacteristic, complemented
152#14582774C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic
158#14582770C2211yescharacteristic
159#14582770C2211yescharacteristic
160#14582770C2211yescharacteristic, complemented
161#14582767C2211yescharacteristic, complemented
162#14582765C2211yescharacteristic, complemented
163#14582762C2211yescharacteristic
164#14582760C2211yescharacteristic
165#14582759C2211yescharacteristic
166#14582759C2211yescharacteristic, complemented
167#14582759C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic
169#14582756C2211yescharacteristic
170#14582754C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C43×#540—28no—
174C2×#127×C43C2211yescharacteristic
175C2×#125×C43C2211yescharacteristic, complemented
176C2×#123×C43C2211yescharacteristic
177C2×#123×C43C2211yescharacteristic
178C2×#123×C43C2211yescharacteristic, complemented
179C2×#123×C43C2211yescharacteristic, complemented
180C2×#121×C43C2211yescharacteristic
181C2×#121×C43C2211yescharacteristic
182C2×#121×C43C2211yescharacteristic
183C2×#121×C43C2211yescharacteristic, complemented
184C2×#121×C43C2211yescharacteristic, complemented
185C2×#121×C43C2211yescharacteristic, complemented
186C2×C4×D4×C43C2211yescharacteristic
187C2×C4×D4×C43C2211yescharacteristic, complemented
188C2×#117×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621898—24no—
191C2×#10621898—42no—
192C2×#10621898—42no—
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
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
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C22×C4×D43—24no—
213C22×C4×D43—42no—
214C22×C4×D43—42no—
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220#13063321—42no—
221#13063312—42no—
222#13063310—24no—
223#13063307—24no—
224#13063306—42no—
225#13063303—24no—
226#13063302—24no—
227#13063299—42no—
228#13063299—42no—
229#13063298—24no—
230#13063297—24no—
231#13063297—42no—
232#13063297—42no—
233#13063297—42no—
234#13063297—42no—
235#13063296—42no—
236#13063296—42no—
237#13063295—24no—
238#13063293—24no—
239#13063293—42no—
240#13063293—42no—
241#13063293—42no—
242C4×D172—24no—
243C4×C22⋊D43—24no—
244C4×C22⋊D43—24no—
245#13063282—24no—
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C22×D4×C43C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C22×D4×C43C2311yescharacteristic
344C22×D4×C43C2311yescharacteristic
345C22×D4×C43C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354C23×C4×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356#127×C43—24no—
357#125×C43—24no—
358#123×C43—24no—
359#123×C43—24no—
360#123×C43—24no—
361#123×C43—24no—
362#121×C43—24no—
363#121×C43—24no—
364#121×C43—24no—
365#121×C43—24no—
366#121×C43—24no—
367#121×C43—24no—
368C4×D4×C43—24no—
369C4×D4×C43D418yescomplemented
370#117×C43—24no—
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C4⋊C4×C43C2311yescharacteristic
375C2×C4⋊C4×C43C2311yescharacteristic
376C2×C4⋊C4×C43C2311yescharacteristic
377C2×C4⋊C4×C43C2311yescharacteristic
378C2×C4⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C24×C43C2411yescharacteristic
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43C2411yescharacteristic
404C23×D43C2411yescharacteristic
405C23×D43C2411yescharacteristic
406C2×D4×C43—22no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43—22no—
410C2×D4×C43—22no—
411C2×D4×C43—22no—
412C2×D4×C43—22no—
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
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×C43—41no—
431C2×D4×C43—41no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C2×D4×C43—41no—
435C2×D4×C43C2×D414yes—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—41no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43C2×D414yes—
450C22×C4×C43C2×D414yes—
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C22×C4×C43C2411yescharacteristic
460C22×C4×C43C2411yescharacteristic
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—22no—
473C2×C22⋊D43—22no—
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—
484C2×C22⋊D43—41no—
485C2×C22⋊D43—41no—
486C2×C22⋊D43—41no—
487C2×C22⋊D43—41no—
488C2×C22⋊D43—41no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C2×C22⋊D43—41no—
498C2×C22⋊D43—41no—
499C2×C22⋊D43—41no—
500C22×Dic43—22no—
501C22×Dic43—22no—
502C22×Dic43—41no—
503C22×Dic43—41no—
504C22×Dic43—41no—
505C22×Dic43—41no—
506C22×Dic43—41no—
507C22×Dic43—41no—
508C22×Dic43—41no—
509C22×Dic43C2411yescharacteristic
510C22×Dic43C2411yescharacteristic
511C22×Dic43C2411yescharacteristic
512C22×Dic43C2411yescharacteristic
513C22×Dic43C2411yescharacteristic
514C22×Dic43C2411yescharacteristic
515C22×Dic43C2411yescharacteristic
516C22×Dic43C2411yescharacteristic
517C22×Dic43C2411yescharacteristic
518C22×Dic43C2411yescharacteristic
519C22×Dic43C2411yescharacteristic
520C22×Dic43C2411yescharacteristic
521C22×Dic43C2411yescharacteristic
522#10621898—416no—
523C2×D172—22no—
524C2×D172—22no—
525C2×D172—22no—
526C2×D172—22no—
527C2×D172—41no—
528C2×D172—41no—
529C2×C4×D43—22no—
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—22no—
535C2×C4×D43—22no—
536C2×C4×D43—22no—
537C2×C4×D43—22no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—41no—
542C2×C4×D43—41no—
543C2×C4×D43—41no—
544C2×C4×D43—416no—
545C2×Dic86—22no—
546C2×Dic86—22no—
547C2×Dic86—41no—
548C4⋊C4×C43—22no—
549C4⋊C4×C43—22no—
550C4⋊C4×C43—22no—
551C4⋊C4×C43—22no—
552C4⋊C4×C43—22no—
553C4⋊C4×C43—22no—
554C4⋊C4×C43—22no—
555C4⋊C4×C43C2×D414yes—
556C22⋊C4×C43—22no—
557C22⋊C4×C43—22no—
558C22⋊C4×C43—22no—
559C22⋊C4×C43—22no—
560C22⋊C4×C43—22no—
561C22⋊C4×C43—22no—
562C22⋊C4×C43—22no—
563C22⋊C4×C43—22no—
564C22⋊C4×C43C2×D414yes—
565C22⋊C4×C43C2×D414yes—
566C42×C43—22no—
567C42×C43C2×D414yes—
568C22⋊Dic43—22no—
569C22⋊Dic43—22no—
570C22⋊Dic43—22no—
571C22⋊Dic43—22no—
572C22⋊Dic43—22no—
573C22⋊Dic43—41no—
574C22⋊Dic43—41no—
575C22⋊Dic43—41no—
576C22⋊Dic43—41no—
577C22⋊Dic43—41no—
578C22⋊Dic43—41no—
579C22⋊Dic43—41no—
580C22⋊Dic43—41no—
581C22⋊Dic43—41no—
582C22⋊Dic43—41no—
583C22⋊Dic43—41no—
584C22⋊Dic43—41no—
585C22⋊Dic43—41no—
586C22⋊Dic43—41no—
587C22⋊Dic43—41no—
588C22⋊Dic43—41no—
589C22⋊Dic43—41no—
590C22⋊Dic43—41no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
599(C2×D43)⋊C4—22no—
600(C2×D43)⋊C4—22no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612C4⋊Dic43—22no—
613C4⋊Dic43—41no—
614C4⋊Dic43—41no—
615C4⋊Dic43—41no—
616C4⋊Dic43—41no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—22no—
622Dic43⋊C4—41no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625Dic43⋊C4—41no—
626Dic43⋊C4—41no—
627Dic43⋊C4—41no—
628C4×Dic43—22no—
629C4×Dic43—41no—
630C4×Dic43—41no—
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×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D412yes—
665C23×C43C22×D412yes—
666C23×C43C2511yescharacteristic
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×D43H(5,𝔽2)12yes—
694C22×D43H(5,𝔽2)12yes—
695D4×C43—44no—
696D4×C43—44no—
697D4×C43—82no—
698D4×C43—82no—
699D4×C43—82no—
700D4×C43—82no—
701D4×C43—82no—
702D4×C43—82no—
703D4×C43—82no—
704D4×C43—82no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
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—44no—
731C2×C4×C43—44no—
732C2×C4×C43—44no—
733C2×C4×C43—82no—
734C2×C4×C43—82no—
735C2×C4×C43C22×D412yes—
736C2×C4×C43C22×D412yes—
737C2×C4×C43C22×D412yes—
738C2×C4×C43C22×D412yes—
739C2×C4×C43C22×D412yes—
740C22⋊D43—44no—
741C22⋊D43—44no—
742C22⋊D43—44no—
743C22⋊D43—44no—
744C22⋊D43—82no—
745C22⋊D43—82no—
746C22⋊D43—82no—
747C22⋊D43—82no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C2×Dic43—21no—
754C2×Dic43—21no—
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—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—44no—
792C2×Dic43—82no—
793C2×Dic43—82no—
794C2×Dic43H(5,𝔽2)12yes—
795D172—44no—
796D172—44no—
797C4×D43—28no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—44no—
802Dic86—44no—
803#36713—431nomaximal, Sylow
804C22×C43—22no—
805C22×C43—22no—
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—22no—
810C22×C43—41no—
811C22×C43—41no—
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×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43C23×D411yescharacteristic
840C22×C43C2×H(5,𝔽2)11yescharacteristic
841C22×C43C2×H(5,𝔽2)11yescharacteristic
842C22×C43C2×H(5,𝔽2)11yescharacteristic
843C22×C43#58511yescharacteristic
844C22×C43#58511yescharacteristic
845C22×C43#58511yescharacteristic
846C2×D43—22no—
847C2×D43—22no—
848C2×D43—22no—
849C2×D43—22no—
850C2×D43—22no—
851C2×D43—22no—
852C2×D43—416no—
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—
868C4×C43—22no—
869C4×C43—22no—
870C4×C43—22no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878Dic43—22no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891C2×#540D4311yescharacteristic, complemented
892C2×#525—431no—
893#2849—431no—
894#2847—431no—
895#2694—431no—
896#2693—431no—
897#2690—431no—
898#2688—431no—
899#2687—431no—
900#2678—431no—
901#2676—431no—
902#2675—431no—
903#2673—431no—
904#2673—431no—
905#2672—431no—
906#2671—431no—
907#2671—431no—
908#2669—431no—
909#2669—431no—
910#2668—431no—
911#2635—431no—
912#2630—431no—
913#2609—431no—
914#2602—431no—
915#2598—431no—
916#2598—431no—
917#2543—431no—
918#2535—431no—
919#2431—431no—
920#2430—431no—
921#2318—431no—
922C2×C43—42no—
923C2×C43—42no—
924C2×C43—81no—
925C2×C43—81no—
926C2×C43—81no—
927C2×C43#344911yescharacteristic
928C2×C43#348411yescharacteristic
929C2×C43#348811yescharacteristic
930C2×C43#353311yescharacteristic
931C2×C43#353411yescharacteristic
932C2×C43#353911yescharacteristic
933C2×C43#354211yescharacteristic
934D43—42no—
935D43—42no—
936D43—81no—
937C22×#41—431no—
938C24×C4—431no—
939#540—28no—
940C2×#127—431no—
941C2×#127C2×D4311yescharacteristic
942C2×#125C2×D4311yescharacteristic, complemented
943C2×#124—431no—
944#525—868no—
945C2×#123—431no—
946C2×#123—431no—
947C2×#123—431no—
948C2×#123C2×D4311yescharacteristic
949C2×#123C2×D4311yescharacteristic
950C2×#123C2×D4311yescharacteristic, complemented
951C2×#123C2×D4311yescharacteristic, complemented
952C2×C22⋊Q8—431no—
953C2×C22⋊Q8—431no—
954C2×#121—431no—
955C2×#121—431no—
956C2×#121—431no—
957C2×#121—431no—
958C2×#121—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121C2×D4311yescharacteristic
965C2×#121C2×D4311yescharacteristic
966C2×#121C2×D4311yescharacteristic
967C2×#121C2×D4311yescharacteristic, complemented
968C2×#121C2×D4311yescharacteristic, complemented
969C2×#121C2×D4311yescharacteristic, complemented
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×C4×D4—431no—
976C2×C4×D4—431no—
977C2×C4×D4—431no—
978C2×C4×D4C2×D4311yescharacteristic
979C2×C4×D4C2×D4311yescharacteristic, complemented
980C2×#117—431no—
981C2×#117C2×D4311yescharacteristic, complemented
982#400—431no—
983#400—431no—
984#400—431no—
985#399—431no—
986#399—431no—
987#399—431no—
988#398—431no—
989#398—431no—
990#398—431no—
991#397—431no—
992#397—431no—
993#397—431no—
994#397—431no—
995#397—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#396—431no—
1000#395—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#393—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—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#391—431no—
1031#390—431no—
1032#390—431no—
1033#389—431no—
1034#388—431no—
1035#388—431no—
1036#388—431no—
1037#388—431no—
1038#388—431no—
1039#388—431no—
1040#388—431no—
1041#388—431no—
1042#388—431no—
1043#388—431no—
1044#387—431no—
1045#387—431no—
1046#387—431no—
1047#387—431no—
1048#386—431no—
1049#386—431no—
1050#386—431no—
1051#386—431no—
1052#386—431no—
1053#386—431no—
1054#386—431no—
1055#386—431no—
1056#386—431no—
1057#386—431no—
1058#386—431no—
1059#386—431no—
1060#386—431no—
1061#386—431no—
1062#386—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#385—431no—
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#385—431no—
1081#385—431no—
1082#383—431no—
1083#382—431no—
1084#381—431no—
1085#381—431no—
1086#380—431no—
1087#380—431no—
1088#380—431no—
1089#380—431no—
1090#380—431no—
1091#379—431no—
1092C4×C22⋊C4—431no—
1093C2×#95—431no—
1094C43#3671311yescharacteristic, complemented, Sylow
1095C25—431no—
1096C2×#41—864no—
1097C2×#41—1722no—
1098C2×#41—1722no—
1099C22×Q8—431no—
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—431no—
1104C22×D4—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×D4C22×D4311yescharacteristic
1116C22×D4C22×D4311yescharacteristic
1117C22×D4C22×D4311yescharacteristic
1118C22×D4C22×D4311yescharacteristic
1119C22×D4C22×D4311yescharacteristic
1120C22×D4C22×D4311yescharacteristic
1121C22×D4C22×D4311yescharacteristic
1122C22×D4C22×D4311yescharacteristic
1123C22×D4C22×D4311yescharacteristic
1124C22×D4C22×D4311yescharacteristic
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—864no—
1134C23×C4—1722no—
1135C23×C4—1722no—
1136C23×C4C22×D4311yescharacteristic
1137C23×C4C22×D4311yescharacteristic
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140C23×C4C22×D4311yescharacteristic
1141#127—24no—
1142#127—1722no—
1143#125—24no—
1144#124—1722no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—864no—
1150#123—864no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—864no—
1161#121—864no—
1162#121—1722no—
1163#121—1722no—
1164#121—1722no—
1165#121—1722no—
1166#121—1722no—
1167#121—1722no—
1168#121—1722no—
1169#121—1722no—
1170#120—864no—
1171#120—864no—
1172#120—1722no—
1173#120—1722no—
1174#120—1722no—
1175C4×D4—24no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4—864no—
1179C4×D4C22⋊D4318yescomplemented
1180#117—24no—
1181#117—864no—
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⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C4⋊C4C22×D4311yescharacteristic
1205C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4C22×D4311yescharacteristic
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×C42—431no—
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42C22×D4311yescharacteristic
1264C2×C42C22×D4311yescharacteristic
1265#95—431no—
1266#95—431no—
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
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#95—431no—
1293#95—431no—
1294#95—431no—
1295#95—431no—
1296#95—431no—
1297C24—431no—
1298C24—431no—
1299C24—431no—
1300C24—862no—
1301C24—862no—
1302C24—862no—
1303C24—1721no—
1304C24—1721no—
1305C24—1721no—
1306C24—1721no—
1307C24C23×D4311yescharacteristic
1308C24C23×D4311yescharacteristic
1309C24C23×D4311yescharacteristic
1310C24C23×D4311yescharacteristic
1311C24C23×D4311yescharacteristic
1312#41—17216no—
1313C2×Q8—862no—
1314C2×Q8—862no—
1315C2×Q8—1721no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
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—862no—
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—1721no—
1363C2×D4—1721no—
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×D4C2×C22⋊D4314yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
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—431no—
1416C22×C4—431no—
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—862no—
1426C22×C4—862no—
1427C22×C4—862no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—17216no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4—1721no—
1439C22×C4—1721no—
1440C22×C4—1721no—
1441C22×C4—1721no—
1442C22×C4C2×C22⋊D4314yes—
1443C22×C4C2×C22⋊D4314yes—
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C22×C4C23×D4311yescharacteristic
1450C22×C4C23×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453C22×C4C23×D4311yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—862no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4—1721no—
1473C4⋊C4—1721no—
1474C4⋊C4—1721no—
1475C4⋊C4—1721no—
1476C4⋊C4—1721no—
1477C4⋊C4C2×C22⋊D4314yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
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—1721no—
1502C22⋊C4—1721no—
1503C22⋊C4—1721no—
1504C22⋊C4—1721no—
1505C22⋊C4—1721no—
1506C22⋊C4—1721no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
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⋊C4C2×C22⋊D4314yes—
1531C22⋊C4C2×C22⋊D4314yes—
1532C42—22no—
1533C42—862no—
1534C42—1721no—
1535C42—1721no—
1536C42C2×C22⋊D4314yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
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—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—432no—
1571C23—432no—
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—1724no—
1592C23—1724no—
1593C23—1724no—
1594C23—1724no—
1595C23—1724no—
1596C23—1724no—
1597C23—1724no—
1598C23C22×C22⋊D4312yes—
1599C23C22×C22⋊D4312yes—
1600C23C24×D4311yescharacteristic
1601Q8—1724no—
1602D4—44no—
1603D4—44no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—3442no—
1613D4—3442no—
1614D4—3442no—
1615D4—3442no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—3442no—
1620D4—3442no—
1621D4—1724no—
1622D4—1724no—
1623D4—1724no—
1624D4—1724no—
1625D4—1724no—
1626D4—1724no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
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—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—432no—
1658C2×C4—868no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
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—3442no—
1698C2×C4—3442no—
1699C2×C4—1724no—
1700C2×C4—1724no—
1701C2×C4—1724no—
1702C2×C4—1724no—
1703C2×C4—1724no—
1704C2×C4C22×C22⋊D4312yes—
1705C2×C4C22×C22⋊D4312yes—
1706C2×C4C22×C22⋊D4312yes—
1707C2×C4C22×C22⋊D4312yes—
1708C2×C4C22×C22⋊D4312yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
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—41no—
1743C22—41no—
1744C22—862no—
1745C22—862no—
1746C22—862no—
1747C22—862no—
1748C22—862no—
1749C22—862no—
1750C22—17216no—
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—
1766C22C23×C22⋊D4311yescharacteristic
1767C22H(5,𝔽2)×D4311yescharacteristic
1768C22H(5,𝔽2)×D4311yescharacteristic
1769C22H(5,𝔽2)×D4311yescharacteristic
1770C22#1458373411yescharacteristic
1771C22#1458373511yescharacteristic
1772C22#1458373511yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—862no—
1784C4—1721no—
1785C4—1721no—
1786C4—1721no—
1787C4—1721no—
1788C4—1721no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4—1721no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—3441no—
1802C2—1722no—
1803C2—1722no—
1804C2#1914792411yescharacteristic
1805C2#1914822611yescharacteristic
1806C2#1914825711yescharacteristic
1807C2#1914875511yescharacteristic
1808C2#1914877811yescharacteristic
1809C2#1914884711yescharacteristic
1810C2#1914890211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC2×C43×#540C2
hypercenterC2×#540D43
hypocenterC43#36713
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#14583408C2semidirect
2. #19142884C2semidirect
3. #19142874C2semidirect
4. #19141109C2semidirect
5. #19141100C2semidirect
6. #19141055C2semidirect
7. #19141025C2semidirect
8. #19141010C2semidirect
9. #19140914C2semidirect
10. #19140890C2semidirect
11. #19140885C2semidirect
12. #19140856C2semidirect
13. #19140855C2semidirect
14. #19140840C2semidirect
15. #19140831C2semidirect
16. #19140826C2semidirect
17. #19140808C2semidirect
18. #19140807C2semidirect
19. #19140798C2semidirect
20. #19140480C2semidirect
21. #19140434C2semidirect
22. #19140267C2semidirect
23. #19140209C2semidirect
24. #19140161C2semidirect
25. #19140155C2semidirect
26. #19139557C2semidirect
27. #19139496C2semidirect
28. #19138215C2semidirect
29. #19138207C2semidirect
30. #19137228C2semidirect
31. C2×C43×#540C2semidirect
35. C2×#13063312C22semidirect
49. C2×#13063297C22semidirect
61. #14582838C22semidirect
62. #14582837C22semidirect
63. #14582837C22semidirect
64. #14582835C22semidirect
66. #14582834C22semidirect
67. #14582832C22semidirect
68. #14582832C22semidirect
69. #14582830C22semidirect
71. #14582827C22semidirect
74. #14582825C22semidirect
75. #14582822C22semidirect
76. #14582822C22semidirect
78. #14582821C22semidirect
79. #14582819C22semidirect
83. #14582815C22semidirect
89. #14582813C22semidirect
90. #14582813C22semidirect
91. #14582813C22semidirect
92. #14582813C22semidirect
93. #14582811C22semidirect
105. #14582807C22semidirect
106. #14582807C22semidirect
107. #14582807C22semidirect
108. #14582807C22semidirect
109. #14582804C22semidirect
112. #14582794C22semidirect
113. #14582793C22semidirect
118. #14582790C22semidirect
120. #14582787C22semidirect
121. #14582787C22semidirect
122. #14582787C22semidirect
123. #14582785C22semidirect
124. #14582785C22semidirect
125. #14582783C22semidirect
126. #14582780C22semidirect
131. #14582779C22semidirect
132. #14582779C22semidirect
137. #14582778C22semidirect
139. #14582776C22semidirect
148. #14582775C22semidirect
149. #14582775C22semidirect
150. #14582775C22semidirect
151. #14582774C22semidirect
152. #14582774C22semidirect
153. #14582772C22semidirect
154. #14582772C22semidirect
155. #14582772C22semidirect
160. #14582770C22semidirect
161. #14582767C22semidirect
162. #14582765C22semidirect
166. #14582759C22semidirect
167. #14582759C22semidirect
171. C4×C22⋊Dic43C22semidirect
172. C2×C43⋊#95C22semidirect
175. C2×#125×C43C22semidirect
178. C2×#123×C43C22semidirect
179. C2×#123×C43C22semidirect
183. C2×#121×C43C22semidirect
184. C2×#121×C43C22semidirect
185. C2×#121×C43C22semidirect
187. C2×C4×D4×C43C22semidirect
188. C2×#117×C43C22semidirect
369. C4×D4×C43D4semidirect
891. C2×#540D43semidirect
942. C2×#125C2×D43semidirect
950. C2×#123C2×D43semidirect
951. C2×#123C2×D43semidirect
967. C2×#121C2×D43semidirect
968. C2×#121C2×D43semidirect
969. C2×#121C2×D43semidirect
979. C2×C4×D4C2×D43semidirect
981. C2×#117C2×D43semidirect
1094. C43#36713semidirect
1179. C4×D4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834082
#191428842
#191428742
#191411092
#191411002
#191410552
#191410252
#191410102
#191409142
#191408902
#191408852
#191408562
#191408552
#191408402
#191408312
#191408262
#191408082
#191408072
#191407982
#191404802
#191404342
#191402672
#191402092
#191401612
#191401552
#191395572
#191394962
#191382152
#191382072
#191372282
C2×C43×#5402
#3671343