Finite Group Databasebeta

← #25303675

Subgroups — #25303675

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×#14583488C211yesmaximal, characteristic, complemented
2C2×#14583407C211yesmaximal, characteristic, complemented
3#19142886C211yesmaximal, characteristic, complemented
4#19142878C211yesmaximal, characteristic, complemented
5#19141217C211yesmaximal, characteristic, complemented
6#19141194C211yesmaximal, characteristic, complemented
7#19141179C211yesmaximal, characteristic, complemented
8#19141017C211yesmaximal, characteristic, complemented
9#19140960C211yesmaximal, characteristic, complemented
10#19140952C211yesmaximal, characteristic, complemented
11#19140942C211yesmaximal, characteristic, complemented
12#19140930C211yesmaximal, characteristic, complemented
13#19140926C211yesmaximal, characteristic, complemented
14#19140925C211yesmaximal, characteristic, complemented
15#19140921C211yesmaximal, characteristic, complemented
16#19140851C211yesmaximal, characteristic, complemented
17#19140818C211yesmaximal, characteristic, complemented
18#19140814C211yesmaximal, characteristic, complemented
19#19140811C211yesmaximal, characteristic, complemented
20#19140485C211yesmaximal, characteristic, complemented
21#19140439C211yesmaximal, characteristic, complemented
22#19140279C211yesmaximal, characteristic, complemented
23#19140220C211yesmaximal, characteristic, complemented
24#19140193C211yesmaximal, characteristic, complemented
25#19140184C211yesmaximal, characteristic, complemented
26#19139561C211yesmaximal, characteristic, complemented
27#19139486C211yesmaximal, characteristic, complemented
28#19137938C211yesmaximal, characteristic, complemented
29#19137909C211yesmaximal, characteristic, complemented
30#19137234C211yesmaximal, characteristic, complemented
31C43×#2705C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic, complemented
34#14583488—28no—
35C2×#13063321C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063313C2211yescharacteristic
38C2×#13063311C2211yescharacteristic, complemented
39C2×#13063311C2211yescharacteristic, complemented
40#14583407—28no—
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic, complemented
43C2×#13063308C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063307C2211yescharacteristic
46C2×#13063305C2211yescharacteristic, complemented
47C2×#13063303C2211yescharacteristic, complemented
48C2×#13063303C2211yescharacteristic, complemented
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063300C2211yescharacteristic
51C2×#13063300C2211yescharacteristic
52C2×#13063300C2211yescharacteristic
53C2×#13063299C2211yescharacteristic
54C2×#13063298C2211yescharacteristic
55C2×#13063298C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063296C2211yescharacteristic, complemented
58C2×#13063295C2211yescharacteristic
59C2×#13063295C2211yescharacteristic
60C2×#13063295C2211yescharacteristic
61C2×#13063295C2211yescharacteristic
62C2×#13063295C2211yescharacteristic, complemented
63C2×#13063295C2211yescharacteristic, complemented
64C2×#13063293C2211yescharacteristic
65C2×#13063293C2211yescharacteristic
66C2×#13063293C2211yescharacteristic, complemented
67C2×#13063293C2211yescharacteristic, complemented
68C2×C4×D172C2211yescharacteristic, complemented
69C2×#13063287C2211yescharacteristic
70C2×#13063287C2211yescharacteristic
71C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
72C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
73C2×#13063281C2211yescharacteristic, complemented
74C2×C22⋊C4×D43C2211yescharacteristic, complemented
75#14582837C2211yescharacteristic, complemented
76#14582833C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582829C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582819C2211yescharacteristic, complemented
87#14582817C2211yescharacteristic, complemented
88#14582817C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic
90#14582816C2211yescharacteristic
91#14582816C2211yescharacteristic
92#14582816C2211yescharacteristic, complemented
93#14582816C2211yescharacteristic, complemented
94#14582815C2211yescharacteristic
95#14582815C2211yescharacteristic
96#14582815C2211yescharacteristic
97#14582815C2211yescharacteristic
98#14582815C2211yescharacteristic
99#14582815C2211yescharacteristic, complemented
100#14582815C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582814C2211yescharacteristic, complemented
104#14582812C2211yescharacteristic, complemented
105#14582811C2211yescharacteristic, complemented
106#14582811C2211yescharacteristic, complemented
107#14582809C2211yescharacteristic
108#14582808C2211yescharacteristic
109#14582808C2211yescharacteristic
110#14582808C2211yescharacteristic
111#14582808C2211yescharacteristic, complemented
112#14582808C2211yescharacteristic, complemented
113#14582808C2211yescharacteristic, complemented
114#14582807C2211yescharacteristic
115#14582807C2211yescharacteristic
116#14582807C2211yescharacteristic
117#14582805C2211yescharacteristic, complemented
118#14582803C2211yescharacteristic, complemented
119#14582801C2211yescharacteristic
120#14582801C2211yescharacteristic
121#14582800C2211yescharacteristic
122#14582799C2211yescharacteristic
123#14582799C2211yescharacteristic, complemented
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582798C2211yescharacteristic, complemented
127#14582795C2211yescharacteristic, complemented
128#14582793C2211yescharacteristic, complemented
129#14582793C2211yescharacteristic, complemented
130#14582791C2211yescharacteristic, complemented
131#14582791C2211yescharacteristic, complemented
132#14582790C2211yescharacteristic, complemented
133#14582790C2211yescharacteristic, complemented
134#14582789C2211yescharacteristic, complemented
135#14582789C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582789C2211yescharacteristic, complemented
138#14582789C2211yescharacteristic, complemented
139#14582788C2211yescharacteristic, complemented
140#14582787C2211yescharacteristic, complemented
141#14582786C2211yescharacteristic, complemented
142#14582779C2211yescharacteristic
143#14582779C2211yescharacteristic, complemented
144#14582777C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic, complemented
149#14582776C2211yescharacteristic
150#14582776C2211yescharacteristic, complemented
151#14582776C2211yescharacteristic, complemented
152#14582776C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic
155#14582775C2211yescharacteristic
156#14582775C2211yescharacteristic, complemented
157#14582774C2211yescharacteristic, complemented
158#14582774C2211yescharacteristic, complemented
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582772C2211yescharacteristic, complemented
162#14582770C2211yescharacteristic, complemented
163#14582761C2211yescharacteristic, complemented
164#14582761C2211yescharacteristic, complemented
165#14582761C2211yescharacteristic, complemented
166#14582761C2211yescharacteristic, complemented
167#14582756C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582756C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic, complemented
172C4⋊C4×Dic43C2211yescharacteristic, complemented
173#14582745C2211yescharacteristic, complemented
174C2×#126×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic, complemented
176C43×#399C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic, complemented
181C43×#392C2211yescharacteristic
182C43×#390C2211yescharacteristic
183C43×#390C2211yescharacteristic, complemented
184C43×#389C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#387C2211yescharacteristic, complemented
187C43×#386C2211yescharacteristic
188C43×#380C2211yescharacteristic, 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×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×D172C2311yescharacteristic
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
215C23×Dic43C2311yescharacteristic
216C23×Dic43C2311yescharacteristic
217C22×C4×D43—24no—
218C22×C4×D43—42no—
219C22×C4×D43—42no—
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227#13063321—42no—
228#13063320—24no—
229#13063313—24no—
230#13063311—24no—
231#13063311—42no—
232#13063310—24no—
233#13063310—42no—
234#13063308—24no—
235#13063307—24no—
236#13063307—42no—
237#13063305—42no—
238#13063303—24no—
239#13063303—24no—
240#13063303—24no—
241#13063300—24no—
242#13063300—24no—
243#13063300—42no—
244#13063299—42no—
245#13063298—24no—
246#13063298—24no—
247#13063298—24no—
248#13063296—42no—
249#13063295—24no—
250#13063295—24no—
251#13063295—24no—
252#13063295—42no—
253#13063295—42no—
254#13063295—42no—
255#13063293—24no—
256#13063293—42no—
257#13063293—42no—
258#13063293—42no—
259C4×D172—24no—
260#13063287—24no—
261#13063287D418yescomplemented
262(C22⋊D43)⋊C4—24no—
263(C22⋊D43)⋊C4—24no—
264#13063281—24no—
265C2×C4⋊Dic43C2311yescharacteristic
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
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×(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×(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
326C22⋊C4×D43—24no—
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
358#126×C43—24no—
359#123×C43—24no—
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
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
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C42×C43C2311yescharacteristic
384C2×C42×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—22no—
398C23×D43—41no—
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×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C22×C4×C43—22no—
423C22×C4×C43—22no—
424C22×C4×C43—41no—
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
436C22×C4×C43C2411yescharacteristic
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—41no—
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—
470C22×Dic43—22no—
471C22×Dic43—22no—
472C22×Dic43—22no—
473C22×Dic43—22no—
474C22×Dic43—41no—
475C22×Dic43—41no—
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487#10621900—416no—
488C2×D172—22no—
489C2×D172—22no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—41no—
501C2×D172—41no—
502C2×D172—41no—
503C2×D172—41no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172C2×D414yes—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—416no—
532C2×C4×D43C2×D414yes—
533C2×C4×D43C2×D414yes—
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—22no—
543C4⋊C4×C43—41no—
544C4⋊C4×C43—41no—
545C4⋊C4×C43—41no—
546C4⋊C4×C43—41no—
547C4⋊C4×C43—41no—
548C4⋊C4×C43C2×D414yes—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C42×C43—22no—
564C42×C43—41no—
565C22⋊Dic43—22no—
566C22⋊Dic43—22no—
567C22⋊Dic43—22no—
568C22⋊Dic43—22no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
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—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—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4C2×D414yes—
610(C2×D43)⋊C4C2×D414yes—
611C4⋊Dic43—22no—
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—22no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625Dic43⋊C4—41no—
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×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—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—82no—
694C22×D43—82no—
695C22×D43—82no—
696C22×D43—82no—
697C22×D43—82no—
698C22×D43—82no—
699C22×D43C22×D412yes—
700C22×D43C22×D412yes—
701C22×D43H(5,𝔽2)12yes—
702D4×C43—44no—
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—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—44no—
739C2×C4×C43C22×D412yes—
740C2×C4×C43C22×D412yes—
741C2×C4×C43C22×D412yes—
742C22⋊D43—44no—
743C22⋊D43—44no—
744C22⋊D43—44no—
745C22⋊D43—44no—
746C22⋊D43—82no—
747C22⋊D43—82no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C2×Dic43—28no—
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—44no—
785C2×Dic43C22×D412yes—
786C2×Dic43C22×D412yes—
787C2×Dic43H(5,𝔽2)12yes—
788D172—44no—
789D172—44no—
790D172—44no—
791D172—82no—
792D172—82no—
793D172—82no—
794D172—82no—
795D172—82no—
796C4×D43—44no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—82no—
802C4×D43—82no—
803Dic86—44no—
804Dic86—82no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—41no—
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×C43C23×D411yescharacteristic
828C22×C43C2×H(5,𝔽2)11yescharacteristic
829C22×C43C2×H(5,𝔽2)11yescharacteristic
830C22×C43C2×H(5,𝔽2)11yescharacteristic
831C22×C43#58511yescharacteristic
832C22×C43#58511yescharacteristic
833C22×C43#58511yescharacteristic
834C2×D43—22no—
835C2×D43—22no—
836C2×D43—22no—
837C2×D43—22no—
838C2×D43—22no—
839C2×D43—22no—
840C2×D43—22no—
841C2×D43—22no—
842C2×D43—22no—
843C2×D43—416no—
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—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—88no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882C4×C43—41no—
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#2705D4311yescharacteristic, complemented
899#2702—431no—
900#2700—431no—
901#2699—431no—
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—81no—
927C2×C43—81no—
928C2×C43#344911yescharacteristic
929C2×C43#348411yescharacteristic
930C2×C43#348811yescharacteristic
931C2×C43#353311yescharacteristic
932C2×C43#353411yescharacteristic
933C2×C43#354011yescharacteristic
934C2×C43#354211yescharacteristic
935D43—42no—
936D43—42no—
937D43—42no—
938D43—81no—
939D43—81no—
940C22×#41—431no—
941C24×C4—431no—
942#538—868no—
943C2×#127—431no—
944C2×#126—431no—
945C2×#126C2×D4311yescharacteristic, complemented
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×#123C2×D4311yescharacteristic, complemented
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×#121—431no—
967C2×#121—431no—
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#399C2×D4311yescharacteristic, complemented
987#398—431no—
988#398—431no—
989#398—431no—
990#397—431no—
991#397—431no—
992#397—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396C2×D4311yescharacteristic, complemented
998#396C2×D4311yescharacteristic, complemented
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#394—431no—
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#392—431no—
1032#392C2×D4311yescharacteristic
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#390C2×D4311yescharacteristic
1043#390C2×D4311yescharacteristic, complemented
1044#389—431no—
1045#389—431no—
1046#389C2×D4311yescharacteristic, complemented
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#388—431no—
1060#388C2×D4311yescharacteristic, complemented
1061#387—431no—
1062#387C2×D4311yescharacteristic, complemented
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#386—431no—
1078#386C2×D4311yescharacteristic
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#381—431no—
1088#381—431no—
1089#380—431no—
1090#380—431no—
1091#380—431no—
1092#380C2×D4311yescharacteristic, complemented
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×D4—431no—
1122C22×D4—431no—
1123C22×D4—431no—
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—431no—
1136C23×C4—864no—
1137C23×C4—1722no—
1138C23×C4—1722no—
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—24no—
1142#126—864no—
1143#124—864no—
1144#124—864no—
1145#124—1722no—
1146#123—24no—
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—864no—
1157#121—864no—
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⋊C4C22×D4311yescharacteristic
1196C2×C4⋊C4C22×D4311yescharacteristic
1197C2×C4⋊C4C22×D4311yescharacteristic
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×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×C42C22×D4311yescharacteristic
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#95—431no—
1293#95—431no—
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—431no—
1305C24—862no—
1306C24—862no—
1307C24—862no—
1308C24—862no—
1309C24—1721no—
1310C24—1721no—
1311C24—1721no—
1312C24—1721no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24—1721no—
1318C24—1721no—
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—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—434no—
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—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—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—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4—1721no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—434no—
1402C22×C4—434no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—862no—
1412C22×C4—862no—
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—1721no—
1423C22×C4—1721no—
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—17216no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4C23×D4311yescharacteristic
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—22no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—1721no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4D4×D4314yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
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—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⋊C4—1721no—
1532C22⋊C4—1721no—
1533C42—22no—
1534C42—41no—
1535C42—434no—
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—432no—
1561C23—432no—
1562C23—432no—
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—861no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—3442no—
1596C23—3442no—
1597C23—3442no—
1598C23—3442no—
1599C23—3442no—
1600C23—3442no—
1601C23—1724no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23—1724no—
1609C23#1306337112yes—
1610C23C24×D4311yescharacteristic
1611Q8—3442no—
1612Q8—1724no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—3442no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—3442no—
1628D4—1724no—
1629D4—1724no—
1630D4—1724no—
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—21no—
1667C2×C4—21no—
1668C2×C4—44no—
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—3442no—
1704C2×C4—3442no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4—1724no—
1709C2×C4—1724no—
1710C2×C4—1724no—
1711C2×C4C2×D4×D4312yes—
1712C2×C4C2×D4×D4312yes—
1713C2×C4C2×D4×D4312yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
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—862no—
1736C22—862no—
1737C22—862no—
1738C22—862no—
1739C22—862no—
1740C22—862no—
1741C22—862no—
1742C22—862no—
1743C22—862no—
1744C22—3448no—
1745C22—17216no—
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—
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#1458373511yescharacteristic
1778C22#1458373611yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
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—81no—
1804C2—81no—
1805C2—3441no—
1806C2—3441no—
1807C2—1722no—
1808C2—1722no—
1809C2—1722no—
1810C2#1914792311yescharacteristic
1811C2#1914822511yescharacteristic
1812C2#1914826311yescharacteristic
1813C2#1914876711yescharacteristic
1814C2#1914878311yescharacteristic
1815C2#1914886011yescharacteristic
1816C2#1914890011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2705C2
hypercenter#2705D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#14583488C2semidirect
2. C2×#14583407C2semidirect
3. #19142886C2semidirect
4. #19142878C2semidirect
5. #19141217C2semidirect
6. #19141194C2semidirect
7. #19141179C2semidirect
8. #19141017C2semidirect
9. #19140960C2semidirect
10. #19140952C2semidirect
11. #19140942C2semidirect
12. #19140930C2semidirect
13. #19140926C2semidirect
14. #19140925C2semidirect
15. #19140921C2semidirect
16. #19140851C2semidirect
17. #19140818C2semidirect
18. #19140814C2semidirect
19. #19140811C2semidirect
20. #19140485C2semidirect
21. #19140439C2semidirect
22. #19140279C2semidirect
23. #19140220C2semidirect
24. #19140193C2semidirect
25. #19140184C2semidirect
26. #19139561C2semidirect
27. #19139486C2semidirect
28. #19137938C2semidirect
29. #19137909C2semidirect
30. #19137234C2semidirect
31. C43×#2705C2semidirect
33. C23×C4×D43C22semidirect
36. C2×#13063320C22semidirect
38. C2×#13063311C22semidirect
39. C2×#13063311C22semidirect
42. C2×#13063310C22semidirect
46. C2×#13063305C22semidirect
47. C2×#13063303C22semidirect
48. C2×#13063303C22semidirect
49. C2×#13063303C22semidirect
57. C2×#13063296C22semidirect
62. C2×#13063295C22semidirect
63. C2×#13063295C22semidirect
66. C2×#13063293C22semidirect
67. C2×#13063293C22semidirect
68. C2×C4×D172C22semidirect
71. C2×(C22⋊D43)⋊C4C22semidirect
72. C2×(C22⋊D43)⋊C4C22semidirect
73. C2×#13063281C22semidirect
74. C2×C22⋊C4×D43C22semidirect
75. #14582837C22semidirect
76. #14582833C22semidirect
77. #14582832C22semidirect
78. #14582829C22semidirect
79. #14582828C22semidirect
80. #14582828C22semidirect
81. #14582828C22semidirect
82. #14582822C22semidirect
83. #14582822C22semidirect
84. #14582821C22semidirect
85. #14582821C22semidirect
86. #14582819C22semidirect
87. #14582817C22semidirect
88. #14582817C22semidirect
92. #14582816C22semidirect
93. #14582816C22semidirect
99. #14582815C22semidirect
100. #14582815C22semidirect
101. #14582814C22semidirect
102. #14582814C22semidirect
103. #14582814C22semidirect
104. #14582812C22semidirect
105. #14582811C22semidirect
106. #14582811C22semidirect
111. #14582808C22semidirect
112. #14582808C22semidirect
113. #14582808C22semidirect
117. #14582805C22semidirect
118. #14582803C22semidirect
123. #14582799C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582798C22semidirect
127. #14582795C22semidirect
128. #14582793C22semidirect
129. #14582793C22semidirect
130. #14582791C22semidirect
131. #14582791C22semidirect
132. #14582790C22semidirect
133. #14582790C22semidirect
134. #14582789C22semidirect
135. #14582789C22semidirect
136. #14582789C22semidirect
137. #14582789C22semidirect
138. #14582789C22semidirect
139. #14582788C22semidirect
140. #14582787C22semidirect
141. #14582786C22semidirect
143. #14582779C22semidirect
146. #14582777C22semidirect
147. #14582777C22semidirect
148. #14582777C22semidirect
150. #14582776C22semidirect
151. #14582776C22semidirect
152. #14582776C22semidirect
156. #14582775C22semidirect
157. #14582774C22semidirect
158. #14582774C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
161. #14582772C22semidirect
162. #14582770C22semidirect
163. #14582761C22semidirect
164. #14582761C22semidirect
165. #14582761C22semidirect
166. #14582761C22semidirect
167. #14582756C22semidirect
168. #14582756C22semidirect
169. #14582756C22semidirect
170. #14582754C22semidirect
171. #14582754C22semidirect
172. C4⋊C4×Dic43C22semidirect
173. #14582745C22semidirect
174. C2×#126×C43C22semidirect
175. C2×#123×C43C22semidirect
176. C43×#399C22semidirect
177. C43×#396C22semidirect
178. C43×#396C22semidirect
179. C43×#394C22semidirect
180. C43×#394C22semidirect
183. C43×#390C22semidirect
184. C43×#389C22semidirect
185. C43×#388C22semidirect
186. C43×#387C22semidirect
188. C43×#380C22semidirect
261. #13063287D4semidirect
898. #2705D43semidirect
945. C2×#126C2×D43semidirect
955. C2×#123C2×D43semidirect
986. #399C2×D43semidirect
997. #396C2×D43semidirect
998. #396C2×D43semidirect
1017. #394C2×D43semidirect
1018. #394C2×D43semidirect
1043. #390C2×D43semidirect
1046. #389C2×D43semidirect
1060. #388C2×D43semidirect
1062. #387C2×D43semidirect
1092. #380C2×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×#145834882
C2×#145834072
#191428862
#191428782
#191412172
#191411942
#191411792
#191410172
#191409602
#191409522
#191409422
#191409302
#191409262
#191409252
#191409212
#191408512
#191408182
#191408142
#191408112
#191404852
#191404392
#191402792
#191402202
#191401932
#191401842
#191395612
#191394862
#191379382
#191379092
#191372342
C43×#27052
#3672443