Finite Group Databasebeta

← #25303506

Subgroups — #25303506

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×#14583501C211yesmaximal, characteristic, complemented
2C2×#14583407C211yesmaximal, characteristic, complemented
3#19142886C211yesmaximal, characteristic, complemented
4#19142878C211yesmaximal, characteristic, complemented
5#19141115C211yesmaximal, characteristic, complemented
6#19141063C211yesmaximal, characteristic, complemented
7#19141024C211yesmaximal, characteristic, complemented
8#19141021C211yesmaximal, characteristic, complemented
9#19140925C211yesmaximal, characteristic, complemented
10#19140902C211yesmaximal, characteristic, complemented
11#19140886C211yesmaximal, characteristic, complemented
12#19140865C211yesmaximal, characteristic, complemented
13#19140858C211yesmaximal, characteristic, complemented
14#19140847C211yesmaximal, characteristic, complemented
15#19140831C211yesmaximal, characteristic, complemented
16#19140831C211yesmaximal, characteristic, complemented
17#19140813C211yesmaximal, characteristic, complemented
18#19140806C211yesmaximal, characteristic, complemented
19#19140800C211yesmaximal, characteristic, complemented
20#19140488C211yesmaximal, characteristic, complemented
21#19140443C211yesmaximal, characteristic, complemented
22#19140268C211yesmaximal, characteristic, complemented
23#19140202C211yesmaximal, characteristic, complemented
24#19140164C211yesmaximal, characteristic, complemented
25#19140158C211yesmaximal, characteristic, complemented
26#19139559C211yesmaximal, characteristic, complemented
27#19139498C211yesmaximal, characteristic, complemented
28#19138209C211yesmaximal, characteristic, complemented
29#19138203C211yesmaximal, characteristic, complemented
30#19137223C211yesmaximal, characteristic, complemented
31C43×#2693C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583501—28no—
35C2×#13063321C2211yescharacteristic
36C2×#13063321C2211yescharacteristic
37C2×#13063315C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic, complemented
39#14583407—28no—
40C2×#13063310C2211yescharacteristic
41C2×#13063309C2211yescharacteristic, complemented
42C2×#13063308C2211yescharacteristic
43C2×#13063307C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063303C2211yescharacteristic
46C2×#13063303C2211yescharacteristic
47C2×#13063300C2211yescharacteristic
48C2×#13063300C2211yescharacteristic
49C2×#13063300C2211yescharacteristic
50C2×#13063299C2211yescharacteristic
51C2×#13063299C2211yescharacteristic
52C2×#13063299C2211yescharacteristic
53C2×#13063299C2211yescharacteristic
54C2×#13063299C2211yescharacteristic, complemented
55C2×#13063298C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063298C2211yescharacteristic
58C2×#13063298C2211yescharacteristic, complemented
59C2×#13063298C2211yescharacteristic, complemented
60C2×#13063297C2211yescharacteristic
61C2×#13063297C2211yescharacteristic
62C2×#13063297C2211yescharacteristic, complemented
63C2×#13063295C2211yescharacteristic
64C2×#13063295C2211yescharacteristic
65C2×#13063295C2211yescharacteristic
66C2×#13063293C2211yescharacteristic
67C2×#13063293C2211yescharacteristic
68C2×#13063287C2211yescharacteristic
69C2×#13063287C2211yescharacteristic
70C2×C4×C22⋊D43C2211yescharacteristic, complemented
71C2×(C22⋊D43)⋊C4C2211yescharacteristic
72C2×(C22⋊D43)⋊C4C2211yescharacteristic
73C2×#13063283C2211yescharacteristic, complemented
74C2×#13063281C2211yescharacteristic
75#14582840C2211yescharacteristic, complemented
76#14582835C2211yescharacteristic
77#14582834C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582832C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic
83#14582828C2211yescharacteristic
84#14582828C2211yescharacteristic, complemented
85#14582826C2211yescharacteristic
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582820C2211yescharacteristic, complemented
89#14582817C2211yescharacteristic
90#14582817C2211yescharacteristic
91#14582816C2211yescharacteristic
92#14582816C2211yescharacteristic
93#14582816C2211yescharacteristic, complemented
94#14582815C2211yescharacteristic
95#14582815C2211yescharacteristic
96#14582815C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic
98#14582814C2211yescharacteristic
99#14582814C2211yescharacteristic, complemented
100#14582814C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic, complemented
102#14582812C2211yescharacteristic, complemented
103#14582809C2211yescharacteristic
104#14582809C2211yescharacteristic
105#14582809C2211yescharacteristic
106#14582809C2211yescharacteristic, complemented
107#14582808C2211yescharacteristic
108#14582808C2211yescharacteristic
109#14582808C2211yescharacteristic
110#14582808C2211yescharacteristic
111#14582808C2211yescharacteristic
112#14582808C2211yescharacteristic, complemented
113#14582808C2211yescharacteristic, complemented
114#14582807C2211yescharacteristic
115#14582807C2211yescharacteristic
116#14582807C2211yescharacteristic, complemented
117#14582803C2211yescharacteristic, complemented
118#14582800C2211yescharacteristic
119#14582799C2211yescharacteristic
120#14582796C2211yescharacteristic, complemented
121#14582793C2211yescharacteristic
122#14582792C2211yescharacteristic, complemented
123#14582791C2211yescharacteristic
124#14582791C2211yescharacteristic
125#14582789C2211yescharacteristic
126#14582788C2211yescharacteristic
127#14582788C2211yescharacteristic, complemented
128#14582788C2211yescharacteristic, complemented
129#14582788C2211yescharacteristic, complemented
130#14582788C2211yescharacteristic, complemented
131#14582786C2211yescharacteristic, complemented
132#14582785C2211yescharacteristic, complemented
133#14582782C2211yescharacteristic, complemented
134#14582780C2211yescharacteristic, complemented
135#14582779C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic, complemented
143#14582777C2211yescharacteristic, complemented
144#14582777C2211yescharacteristic, complemented
145#14582776C2211yescharacteristic
146#14582776C2211yescharacteristic
147#14582776C2211yescharacteristic
148#14582776C2211yescharacteristic, complemented
149#14582776C2211yescharacteristic, complemented
150#14582775C2211yescharacteristic
151#14582775C2211yescharacteristic
152#14582775C2211yescharacteristic
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic, complemented
155#14582774C2211yescharacteristic
156#14582774C2211yescharacteristic, complemented
157#14582773C2211yescharacteristic
158#14582773C2211yescharacteristic
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582772C2211yescharacteristic
162#14582772C2211yescharacteristic, complemented
163#14582770C2211yescharacteristic, complemented
164#14582766C2211yescharacteristic, complemented
165#14582764C2211yescharacteristic, complemented
166#14582761C2211yescharacteristic
167#14582761C2211yescharacteristic
168#14582756C2211yescharacteristic
169#14582756C2211yescharacteristic
170#14582756C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic
172C22⋊C4×Dic43C2211yescharacteristic, complemented
173C2×C43⋊#95C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×#123×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#400C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic
180C43×#396C2211yescharacteristic, complemented
181C43×#392C2211yescharacteristic
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621900—24no—
191C2×#10621900—42no—
192C2×#10621900—42no—
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
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
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C23×Dic43C2311yescharacteristic
217C23×Dic43C2311yescharacteristic
218C23×Dic43C2311yescharacteristic
219C22×C4×D43—24no—
220C22×C4×D43—42no—
221C22×C4×D43—42no—
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229#13063321—24no—
230#13063321—42no—
231#13063315—24no—
232#13063311—42no—
233#13063310—24no—
234#13063309—24no—
235#13063308—24no—
236#13063307—24no—
237#13063307—42no—
238#13063303—24no—
239#13063303—24no—
240#13063300—24no—
241#13063300—42no—
242#13063300—42no—
243#13063299—24no—
244#13063299—42no—
245#13063299—42no—
246#13063299—42no—
247#13063299—42no—
248#13063298—24no—
249#13063298—24no—
250#13063298—24no—
251#13063298—24no—
252#13063298—24no—
253#13063297—24no—
254#13063297—42no—
255#13063297—42no—
256#13063295—24no—
257#13063295—42no—
258#13063295—42no—
259#13063293—24no—
260#13063293—42no—
261#13063287—24no—
262#13063287—24no—
263C4×C22⋊D43—24no—
264(C22⋊D43)⋊C4—24no—
265(C22⋊D43)⋊C4D418yescomplemented
266#13063283—24no—
267#13063281—24no—
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×C4⋊Dic43C2311yescharacteristic
273C2×C4⋊Dic43C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
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×(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×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C2×C4×Dic43C2311yescharacteristic
330C2×C4×Dic43C2311yescharacteristic
331C2×C4×Dic43C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
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
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360#123×C43—24no—
361#123×C43—24no—
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊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
381#95×C43C2311yescharacteristic
382#95×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
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
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—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—22no—
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43—41no—
459C2×C22⋊D43—41no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
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⋊D43C2×D414yes—
475C22×Dic43—22no—
476C22×Dic43—22no—
477C22×Dic43—22no—
478C22×Dic43—41no—
479C22×Dic43—41no—
480C22×Dic43—41no—
481C22×Dic43—41no—
482C22×Dic43—41no—
483C22×Dic43C2×D414yes—
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2411yescharacteristic
490C22×Dic43C2411yescharacteristic
491C22×Dic43C2411yescharacteristic
492C22×Dic43C2411yescharacteristic
493C22×Dic43C2411yescharacteristic
494C22×Dic43C2411yescharacteristic
495#10621900—416no—
496C2×D172—22no—
497C2×D172—22no—
498C2×D172—22no—
499C2×D172—22no—
500C2×D172—22no—
501C2×D172—22no—
502C2×D172—22no—
503C2×D172—22no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172—41no—
512C2×D172—41no—
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×D172—41no—
522C2×D172—41no—
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—22no—
530C2×C4×D43—22no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—41no—
542C2×C4×D43—41no—
543C2×C4×D43—416no—
544C2×C4×D43C2×D414yes—
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—41no—
553C4⋊C4×C43—41no—
554C4⋊C4×C43—41no—
555C22⋊C4×C43—22no—
556C22⋊C4×C43—22no—
557C22⋊C4×C43—22no—
558C22⋊C4×C43—22no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C22⋊C4×C43—41no—
566C22⋊C4×C43C2×D414yes—
567C22⋊Dic43—22no—
568C22⋊Dic43—22no—
569C22⋊Dic43—22no—
570C22⋊Dic43—22no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43—41no—
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—41no—
590(C2×D43)⋊C4—41no—
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—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4C2×D414yes—
609C4⋊Dic43—22no—
610C4⋊Dic43—22no—
611C4⋊Dic43—22no—
612C4⋊Dic43—41no—
613C4⋊Dic43—41no—
614C4⋊Dic43—41no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625Dic43⋊C4C2×D414yes—
626C4×Dic43—22no—
627C4×Dic43—22no—
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×C43C22×D412yes—
651C23×C43H(5,𝔽2)12yes—
652C23×C43C2511yescharacteristic
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
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×D43C22×D412yes—
694C22×D43H(5,𝔽2)12yes—
695D4×C43—44no—
696D4×C43—82no—
697D4×C43—82no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
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—21no—
731C2×C4×C43—21no—
732C2×C4×C43—44no—
733C2×C4×C43—82no—
734C2×C4×C43—82no—
735C2×C4×C43C22×D412yes—
736C2×C4×C43C22×D412yes—
737C22⋊D43—44no—
738C22⋊D43—44no—
739C22⋊D43—44no—
740C22⋊D43—44no—
741C22⋊D43—44no—
742C22⋊D43—82no—
743C22⋊D43—82no—
744C22⋊D43—82no—
745C22⋊D43—82no—
746C22⋊D43—82no—
747C22⋊D43—82no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C2×Dic43—28no—
751C2×Dic43—21no—
752C2×Dic43—21no—
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—44no—
781C2×Dic43—82no—
782C2×Dic43C22×D412yes—
783C2×Dic43C22×D412yes—
784C2×Dic43C22×D412yes—
785C2×Dic43H(5,𝔽2)12yes—
786D172—44no—
787D172—44no—
788D172—82no—
789D172—82no—
790D172—82no—
791D172—82no—
792D172—82no—
793D172—82no—
794D172—82no—
795C4×D43—44no—
796C4×D43—44no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—82no—
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×C43C23×D411yescharacteristic
826C22×C43C2×H(5,𝔽2)11yescharacteristic
827C22×C43C2×H(5,𝔽2)11yescharacteristic
828C22×C43C2×H(5,𝔽2)11yescharacteristic
829C22×C43#58511yescharacteristic
830C22×C43#58511yescharacteristic
831C22×C43#58511yescharacteristic
832C2×D43—22no—
833C2×D43—22no—
834C2×D43—22no—
835C2×D43—22no—
836C2×D43—22no—
837C2×D43—22no—
838C2×D43—416no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
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—
868C4×C43—22no—
869C4×C43—22no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880Dic43—22no—
881Dic43—22no—
882Dic43—22no—
883Dic43—22no—
884Dic43—41no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891C2×#540—431no—
892C2×#525—431no—
893#2849—431no—
894#2847—431no—
895#2694—431no—
896#2693D4311yescharacteristic, complemented
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#344911yescharacteristic
926C2×C43#348411yescharacteristic
927C2×C43#348811yescharacteristic
928C2×C43#353311yescharacteristic
929C2×C43#353411yescharacteristic
930C2×C43#353911yescharacteristic
931C2×C43#354211yescharacteristic
932D43—42no—
933D43—42no—
934D43—81no—
935D43—81no—
936D43—81no—
937C22×#41—431no—
938C24×C4—431no—
939#540—868no—
940C2×#127—431no—
941C2×#127—431no—
942C2×#125—431no—
943C2×#124—431no—
944#525—868no—
945C2×#123—431no—
946C2×#123—431no—
947C2×#123—431no—
948C2×#123—431no—
949C2×#123—431no—
950C2×#123C2×D4311yescharacteristic
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×#121—431no—
965C2×#121—431no—
966C2×#121—431no—
967C2×#121—431no—
968C2×#121—431no—
969C2×#121—431no—
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×D4—431no—
979C2×C4×D4—431no—
980C2×#117—431no—
981C2×#117—431no—
982#400—431no—
983#400C2×D4311yescharacteristic, complemented
984#400C2×D4311yescharacteristic, complemented
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#397C2×D4311yescharacteristic, complemented
996#396—431no—
997#396—431no—
998#396C2×D4311yescharacteristic
999#396C2×D4311yescharacteristic, complemented
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#392C2×D4311yescharacteristic
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#386C2×D4311yescharacteristic
1069#386C2×D4311yescharacteristic
1070#386C2×D4311yescharacteristic
1071#386C2×D4311yescharacteristic, complemented
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#385C2×D4311yescharacteristic, complemented
1082#383—431no—
1083#382—431no—
1084#381—431no—
1085#381—431no—
1086#380—431no—
1087#380—431no—
1088#380—431no—
1089#380C2×D4311yescharacteristic
1090#380C2×D4311yescharacteristic, complemented
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×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
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—431no—
1134C23×C4—431no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4—1722no—
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140C23×C4C22×D4311yescharacteristic
1141#127—864no—
1142#127—1722no—
1143#125—864no—
1144#124—1722no—
1145#123—24no—
1146#123—24no—
1147#123—864no—
1148#123—864no—
1149#123—864no—
1150#123—864no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154#121—864no—
1155#121—864no—
1156#121—864no—
1157#121—864no—
1158#121—864no—
1159#121—864no—
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—438no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4—864no—
1179C4×D4—864no—
1180#117—864no—
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⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4C22×D4311yescharacteristic
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×C42—431no—
1264C2×C42—431no—
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#95C22×D4311yescharacteristic
1288#95C22×D4311yescharacteristic
1289#95C22×D4311yescharacteristic
1290#95C22×D4311yescharacteristic
1291#95C22×D4311yescharacteristic
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297C24—431no—
1298C24—431no—
1299C24—431no—
1300C24—431no—
1301C24—431no—
1302C24—862no—
1303C24—862no—
1304C24—862no—
1305C24—1721no—
1306C24—1721no—
1307C24—1721no—
1308C24—1721no—
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—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—434no—
1326C2×D4—862no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—862no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—1721no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—1721no—
1360C2×D4—1721no—
1361C2×D4—1721no—
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×D4—1721no—
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—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—434no—
1405C22×C4—434no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—431no—
1412C22×C4—431no—
1413C22×C4—862no—
1414C22×C4—862no—
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—1721no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—17216no—
1437C22×C4—1721no—
1438C22×C4—1721no—
1439C22×C4—1721no—
1440C22×C4—1721no—
1441C22×C4—1721no—
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
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—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—434no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—862no—
1467C4⋊C4—862no—
1468C4⋊C4—862no—
1469C4⋊C4—862no—
1470C4⋊C4—862no—
1471C4⋊C4—1721no—
1472C4⋊C4—1721no—
1473C4⋊C4—1721no—
1474C4⋊C4—1721no—
1475C4⋊C4—1721no—
1476C4⋊C4—1721no—
1477C4⋊C4—1721no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—434no—
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—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⋊C4—1721no—
1531C22⋊C4D4×D4314yes—
1532C42—434no—
1533C42—862no—
1534C42—862no—
1535C42—1721no—
1536C42—1721no—
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—432no—
1557C23—432no—
1558C23—861no—
1559C23—861no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
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—1724no—
1592C23—1724no—
1593C23—1724no—
1594C23—1724no—
1595C23—1724no—
1596C23—1724no—
1597C23—1724no—
1598C23C2×D4×D4312yes—
1599C23#1306337112yes—
1600C23C24×D4311yescharacteristic
1601Q8—1724no—
1602D4—44no—
1603D4—82no—
1604D4—82no—
1605D4—3442no—
1606D4—3442no—
1607D4—3442no—
1608D4—3442no—
1609D4—3442no—
1610D4—3442no—
1611D4—3442no—
1612D4—3442no—
1613D4—3442no—
1614D4—3442no—
1615D4—3442no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—3442no—
1620D4—1724no—
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—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—44no—
1662C2×C4—82no—
1663C2×C4—82no—
1664C2×C4—432no—
1665C2×C4—432no—
1666C2×C4—432no—
1667C2×C4—432no—
1668C2×C4—868no—
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—861no—
1698C2×C4—3442no—
1699C2×C4—3442no—
1700C2×C4—1724no—
1701C2×C4—1724no—
1702C2×C4—1724no—
1703C2×C4—1724no—
1704C2×C4—1724no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4C2×D4×D4312yes—
1708C2×C4C2×D4×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—862no—
1731C22—862no—
1732C22—862no—
1733C22—862no—
1734C22—862no—
1735C22—862no—
1736C22—17216no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
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—
1766C22C22×D4×D4311yescharacteristic
1767C22H(5,𝔽2)×D4311yescharacteristic
1768C22H(5,𝔽2)×D4311yescharacteristic
1769C22C2×#1306337111yescharacteristic
1770C22#1458373411yescharacteristic
1771C22#1458373511yescharacteristic
1772C22#1458373611yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—862no—
1786C4—862no—
1787C4—862no—
1788C4—862no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4—1721no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—3441no—
1800C2—3441no—
1801C2—3441no—
1802C2—1722no—
1803C2—1722no—
1804C2#1914792311yescharacteristic
1805C2#1914822511yescharacteristic
1806C2#1914825811yescharacteristic
1807C2#1914876711yescharacteristic
1808C2#1914878311yescharacteristic
1809C2#1914885311yescharacteristic
1810C2#1914890011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2693C2
hypercenter#2693D43
hypocenterC43#36713
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2693

Complements

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

NH ≅ G/Ntype
1. C2×#14583501C2semidirect
2. C2×#14583407C2semidirect
3. #19142886C2semidirect
4. #19142878C2semidirect
5. #19141115C2semidirect
6. #19141063C2semidirect
7. #19141024C2semidirect
8. #19141021C2semidirect
9. #19140925C2semidirect
10. #19140902C2semidirect
11. #19140886C2semidirect
12. #19140865C2semidirect
13. #19140858C2semidirect
14. #19140847C2semidirect
15. #19140831C2semidirect
16. #19140831C2semidirect
17. #19140813C2semidirect
18. #19140806C2semidirect
19. #19140800C2semidirect
20. #19140488C2semidirect
21. #19140443C2semidirect
22. #19140268C2semidirect
23. #19140202C2semidirect
24. #19140164C2semidirect
25. #19140158C2semidirect
26. #19139559C2semidirect
27. #19139498C2semidirect
28. #19138209C2semidirect
29. #19138203C2semidirect
30. #19137223C2semidirect
31. C43×#2693C2semidirect
37. C2×#13063315C22semidirect
38. C2×#13063311C22semidirect
41. C2×#13063309C22semidirect
54. C2×#13063299C22semidirect
58. C2×#13063298C22semidirect
59. C2×#13063298C22semidirect
62. C2×#13063297C22semidirect
70. C2×C4×C22⋊D43C22semidirect
73. C2×#13063283C22semidirect
75. #14582840C22semidirect
77. #14582834C22semidirect
78. #14582834C22semidirect
79. #14582833C22semidirect
80. #14582832C22semidirect
81. #14582832C22semidirect
84. #14582828C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
88. #14582820C22semidirect
93. #14582816C22semidirect
96. #14582815C22semidirect
99. #14582814C22semidirect
100. #14582814C22semidirect
101. #14582814C22semidirect
102. #14582812C22semidirect
106. #14582809C22semidirect
112. #14582808C22semidirect
113. #14582808C22semidirect
116. #14582807C22semidirect
117. #14582803C22semidirect
120. #14582796C22semidirect
122. #14582792C22semidirect
127. #14582788C22semidirect
128. #14582788C22semidirect
129. #14582788C22semidirect
130. #14582788C22semidirect
131. #14582786C22semidirect
132. #14582785C22semidirect
133. #14582782C22semidirect
134. #14582780C22semidirect
142. #14582777C22semidirect
143. #14582777C22semidirect
144. #14582777C22semidirect
148. #14582776C22semidirect
149. #14582776C22semidirect
154. #14582775C22semidirect
156. #14582774C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
162. #14582772C22semidirect
163. #14582770C22semidirect
164. #14582766C22semidirect
165. #14582764C22semidirect
170. #14582756C22semidirect
172. C22⋊C4×Dic43C22semidirect
173. C2×C43⋊#95C22semidirect
175. C2×#123×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#400C22semidirect
178. C43×#397C22semidirect
180. C43×#396C22semidirect
185. C43×#386C22semidirect
186. C43×#385C22semidirect
188. C43×#380C22semidirect
265. (C22⋊D43)⋊C4D4semidirect
896. #2693D43semidirect
951. C2×#123C2×D43semidirect
983. #400C2×D43semidirect
984. #400C2×D43semidirect
995. #397C2×D43semidirect
999. #396C2×D43semidirect
1071. #386C2×D43semidirect
1081. #385C2×D43semidirect
1090. #380C2×D43semidirect
1094. C43#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#145835012
C2×#145834072
#191428862
#191428782
#191411152
#191410632
#191410242
#191410212
#191409252
#191409022
#191408862
#191408652
#191408582
#191408472
#191408312
#191408132
#191408062
#191408002
#191404882
#191404432
#191402682
#191402022
#191401642
#191401582
#191395592
#191394982
#191382092
#191382032
#191372232
C43×#26932
#3671343