Finite Group Databasebeta

← #33967903

Subgroups — #33967903

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623535C211yesmaximal, characteristic, complemented
2#22623417C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622633C211yesmaximal, characteristic, complemented
7#22622408C211yesmaximal, characteristic, complemented
8#22622399C211yesmaximal, characteristic, complemented
9#22622286C211yesmaximal, characteristic, complemented
10#22622079C211yesmaximal, characteristic, complemented
11#22622070C211yesmaximal, characteristic, complemented
12#22621896C211yesmaximal, characteristic, complemented
13#22621889C211yesmaximal, characteristic, complemented
14#22621753C211yesmaximal, characteristic, complemented
15#22621737C211yesmaximal, characteristic, complemented
16#22621601C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621404C211yesmaximal, characteristic, complemented
19#22620666C211yesmaximal, characteristic, complemented
20#22620627C211yesmaximal, characteristic, complemented
21#22620623C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620071C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620020C211yesmaximal, characteristic, complemented
26#22620020C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29C2×#17988697C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3109C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556615C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35C2×D8×D73C2211yescharacteristic
36#17989320C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989287C2211yescharacteristic, complemented
40#17989286—21no—
41#17989285C2211yescharacteristic, complemented
42#17989266—21no—
43#17989263—21no—
44#17989257C2211yescharacteristic, complemented
45#17989252C2211yescharacteristic, complemented
46#17989245—21no—
47#17989240C2211yescharacteristic, complemented
48#17989237C2211yescharacteristic
49#17989237C2211yescharacteristic, complemented
50#17989232C2211yescharacteristic, complemented
51#17989231C2211yescharacteristic, complemented
52#17989230—21no—
53#17989227—21no—
54#17989226—21no—
55#17989226—21no—
56#17989222C2211yescharacteristic, complemented
57#17989221C2211yescharacteristic
58#17989221C2211yescharacteristic, complemented
59D4×C22⋊D73C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic, complemented
61#17989134C2211yescharacteristic, complemented
62#17989134C2211yescharacteristic, complemented
63#17989121C2211yescharacteristic, complemented
64#17989119C2211yescharacteristic, complemented
65#17989117—21no—
66#17989098—21no—
67#17989096—21no—
68#17989096—21no—
69#17989096—21no—
70#17989094—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C2×C4×D292C2211yescharacteristic, complemented
74C2×C4×C22⋊D73—21no—
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988951C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988949C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988837C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988817C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic
128#17988781C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic, complemented
132#17988740C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988733C2211yescharacteristic, complemented
135#17988729C2211yescharacteristic, complemented
136#17988723C2211yescharacteristic
137#17988722C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic, complemented
145#17988700C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic
149#17988697C2211yescharacteristic
150#17988697C2211yescharacteristic, complemented
151#17988697C2211yescharacteristic, complemented
152#17988697C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177C2×#14556522C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181C2×#14556512C2211yescharacteristic, complemented
182C2×#14556511C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic, complemented
190#481×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#459×C73C2211yescharacteristic, complemented
195#459×C73C2211yescharacteristic, complemented
196#447×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028D411yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212#41×D73—48no—
213C2×Q8×D73—21no—
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C22×C4×D73—21no—
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226#14556615—24no—
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×#11924013—24no—
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240D8×D73—24no—
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556583C2311yescharacteristic
258#14556582C2311yescharacteristic
259#14556581—21no—
260#14556579C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556567—21no—
292#14556567—21no—
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556565—21no—
297#14556565—21no—
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556561—21no—
316#14556561—21no—
317#14556561—21no—
318#14556560—21no—
319#14556560—21no—
320#14556559—21no—
321#14556559—21no—
322#14556559—21no—
323#14556559—21no—
324#14556559—21no—
325C4×Dic146D411yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556C2311yescharacteristic
329C4×D292—21no—
330C4×D292—21no—
331C4×D292D411yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73D411yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556550—21no—
367#14556550D411yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548D411yescharacteristic
371#14556548D411yescharacteristic
372#14556547—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C2×C22⋊Dic73—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C22×D4×C73C2311yescharacteristic
441C23×C4×C73—21no—
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#124×C73—21no—
449#121×C73—21no—
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C22⋊C4×C73—21no—
463C2×C42×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485C23×D73—21no—
486#11924029—44no—
487#11924028—24no—
488#11924028—44no—
489#11924028—44no—
490#11924028—82no—
491#11924027—22no—
492#11924027—41no—
493#11924027—44no—
494#11924027—44no—
495#11924027—44no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—44no—
502C2×D292—22no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292C2×D411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—44no—
528C2×C22⋊D73C2×D411yescharacteristic
529C2×C22⋊D73C2×D411yescharacteristic
530D4×D73—22no—
531D4×D73—22no—
532D4×D73—22no—
533D4×D73—41no—
534D4×D73—41no—
535D4×D73—41no—
536D4×D73—44no—
537D4×D73—44no—
538D4×D73—44no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—44no—
557C2×C4×D73—44no—
558C2×C4×D73—44no—
559C2×C4×D73—82no—
560C2×C4×D73C2×D411yescharacteristic
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566#11924017—22no—
567#11924017—41no—
568#11924016—22no—
569#11924016—41no—
570D584—22no—
571D584—41no—
572#11924013—22no—
573#11924013—22no—
574#11924013—22no—
575#11924013—22no—
576#11924013—41no—
577#11924013#4114yescomplemented
578#11924011—22no—
579#11924011—41no—
580C2×#10596831—22no—
581C2×#10596831—41no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C8×D73—22no—
587C8×D73—41no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73C2×D411yescharacteristic
592C4⋊Dic73C2×D411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73C2×D411yescharacteristic
625C22⋊Dic73C2×D411yescharacteristic
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C24×C73—21no—
656#41×C73—44no—
657C2×Q8×C73—21no—
658C2×D4×C73—22no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—41no—
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—82no—
677C22×C4×C73C2×D411yescharacteristic
678C22×C4×C73C2×D411yescharacteristic
679C22×C4×C73C2411yescharacteristic
680D8×C73—22no—
681D8×C73—22no—
682D8×C73—41no—
683D8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73C22×D411yescharacteristic
730C22×D73C22×D411yescharacteristic
731Q8×C73—42no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—42no—
740D4×C73—42no—
741D4×C73—42no—
742D4×C73—42no—
743D4×C73—81no—
744D4×C73C2×#4112yescomplemented
745C2×C4×C73—22no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—41no—
753C2×C4×C73—42no—
754C2×C4×C73—42no—
755C2×C4×C73—42no—
756C2×C4×C73—42no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C2511yescharacteristic
766C22⋊D73—22no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73AGL(1,ℤ/8)14yescomplemented
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—42no—
789C2×Dic73—42no—
790C2×Dic73—42no—
791C2×Dic73—42no—
792C2×Dic73—42no—
793C2×Dic73—81no—
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800D292—22no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—42no—
807D292—42no—
808D292—42no—
809D292—81no—
810D292C2×#4112yes—
811C4×D73—22no—
812C4×D73—21no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—21no—
816C4×D73—22no—
817C4×D73—41no—
818C4×D73—41no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—42no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—81no—
829C4×D73—81no—
830Dic146—22no—
831Dic146—21no—
832Dic146—21no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73—21no—
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831C2×#4112yescomplemented
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—22no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—84no—
859C22×C73C2×AGL(1,ℤ/8)12yes—
860C22×C73C23×D411yescharacteristic
861C2×D73—21no—
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—22no—
866C2×D73—21no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—84no—
876C2×D73—84no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73C2×AGL(1,ℤ/8)12yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73C22×#4111yescharacteristic
890C4×C73#58511yescharacteristic
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73C2×AGL(1,ℤ/8)12yes—
902#61451—731nomaximal, Sylow
903C2×C73—22no—
904C2×C73—42no—
905C2×C73—81no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73D4×#4111yescharacteristic
909C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
910C2×C73#358511yescharacteristic
911D73—22no—
912D73—41no—
913D73—42no—
914D73—81no—
915D73—81no—
916#3481—731no—
917D4×#41—731no—
918#3399—731no—
919#3384—731no—
920#3373—731no—
921#3366—731no—
922#3345—731no—
923#3345—731no—
924#3335—731no—
925#3318—731no—
926#3318—731no—
927#3306—731no—
928#3306—731no—
929#3295—731no—
930#3294—731no—
931D4×D8—731no—
932#3264—731no—
933#3264—731no—
934#3184—731no—
935#3180—731no—
936#3180—731no—
937#3115—731no—
938#3114—731no—
939#3114—731no—
940#3109—731no—
941#3109—731no—
942#3109D7311yescharacteristic, complemented
943#2970—731no—
944C4×AGL(1,ℤ/8)—731no—
945C2×#442—731no—
946C2×#442—731no—
947C73#6145111yescharacteristic, complemented, Sylow
948C22×#41—1461no—
949C2×AGL(1,ℤ/8)—731no—
950C22×D8—731no—
951C22×D8—731no—
952#559—731no—
953#554—731no—
954#554—731no—
955#553—731no—
956#553—731no—
957#553—1461no—
958#551—1461no—
959#551—1461no—
960#550—731no—
961D4×Q8—731no—
962#548—1461no—
963#547—731no—
964#547—731no—
965#547—731no—
966#546—731no—
967#546—731no—
968#546—1461no—
969#546—1461no—
970#546—1461no—
971#546—1461no—
972D42—731no—
973D42—731no—
974D42—731no—
975D42—731no—
976#532—731no—
977#532—731no—
978#532—731no—
979#532C2×D7311yescharacteristic, complemented
980#529—731no—
981#529—731no—
982#529—1461no—
983#525—1461no—
984#525—1461no—
985#525—1461no—
986#525—1461no—
987#525—1461no—
988C4×#41—731no—
989C4×#41—731no—
990C2×C4×D4—731no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—731no—
994C2×C4×D4—1461no—
995C2×C4×D4C2×D7311yescharacteristic, complemented
996#501—731no—
997#501—731no—
998#498—731no—
999#496—731no—
1000#496—731no—
1001#493—731no—
1002#490—731no—
1003#490—731no—
1004#489—731no—
1005#489—731no—
1006#486—731no—
1007#486—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482—731no—
1012#481—731no—
1013#481—731no—
1014#481—731no—
1015#481—731no—
1016#481C2×D7311yescharacteristic, complemented
1017#481C2×D7311yescharacteristic, complemented
1018#480—731no—
1019#480—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#478—731no—
1024#476—731no—
1025#476—731no—
1026#476—731no—
1027#476—731no—
1028#476C2×D7311yescharacteristic, complemented
1029#476C2×D7311yescharacteristic, complemented
1030#475—731no—
1031#474—731no—
1032#469—731no—
1033#469—731no—
1034#469—731no—
1035#469—731no—
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#466—731no—
1040#465—731no—
1041#465—731no—
1042#465—731no—
1043#465—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#460—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#459C2×D7311yescharacteristic, complemented
1055#459C2×D7311yescharacteristic, complemented
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#447—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#447C2×D7311yescharacteristic, complemented
1067#447C2×D7311yescharacteristic, complemented
1068#446—731no—
1069#446—731no—
1070#442—731no—
1071#442—731no—
1072#442—731no—
1073#442—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442—731no—
1078#442—731no—
1079#442—731no—
1080#442—731no—
1081#442—731no—
1082#442—731no—
1083#442—731no—
1084#442—731no—
1085#442—731no—
1086#442C2×D7311yescharacteristic, complemented
1087#442C2×D7311yescharacteristic, complemented
1088#442C2×D7311yescharacteristic, complemented
1089#442C2×D7311yescharacteristic, complemented
1090#440—731no—
1091#440—731no—
1092#440—731no—
1093#440—731no—
1094C4×SD16—731no—
1095C4×SD16—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098#435—731no—
1099#435—731no—
1100#435—731no—
1101#435—731no—
1102C8×D4—731no—
1103C8×D4—731no—
1104#432—731no—
1105#432—731no—
1106#432C2×D7311yescharacteristic, complemented
1107#428—731no—
1108C2×#106—731no—
1109C2×#106—731no—
1110#418—731no—
1111#417—731no—
1112C2×#102—731no—
1113C2×#102—731no—
1114C2×#102—731no—
1115C2×#102—731no—
1116C4×M16—731no—
1117C2×#97—731no—
1118C2×#97—731no—
1119C2×#41—21no—
1120C2×#41—2928no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—1461no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×Q8—1461no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4—1461no—
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—21no—
1141C23×C4—1461no—
1142C23×C4—1461no—
1143C23×C4—1461no—
1144C23×C4—1461no—
1145AGL(1,ℤ/8)—1464no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×D8—731no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—731no—
1158C2×D8—1464no—
1159C2×D8—1464no—
1160C2×D8C22×D7311yescharacteristic
1161C2×D8C22×D7311yescharacteristic
1162C2×D8C22×D7311yescharacteristic
1163C2×D8C22×D7311yescharacteristic
1164C2×M16—731no—
1165C2×M16—731no—
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8—731no—
1169C22×C8—731no—
1170C4⋊Q8—731no—
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8C22×D7311yescharacteristic
1174#127—731no—
1175#127—731no—
1176#127—731no—
1177#127C22×D7311yescharacteristic
1178#126—1461no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—731no—
1184#125—1461no—
1185#124—21no—
1186#124—731no—
1187#124—731no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219#121—21no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121C22×D7311yescharacteristic
1243#121C22×D7311yescharacteristic
1244#120—1461no—
1245#120—1461no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4C22×D7311yescharacteristic
1299C4×D4C22×D7311yescharacteristic
1300C4×D4C22×D7311yescharacteristic
1301C4×D4C22×D7311yescharacteristic
1302C4×D4C22×D7311yescharacteristic
1303C4×D4C22×D7311yescharacteristic
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—1461no—
1309#117—1461no—
1310#117—1461no—
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—731no—
1313C2×C4⋊C4—731no—
1314C2×C4⋊C4—731no—
1315C2×C4⋊C4—1461no—
1316C2×C4⋊C4C22×D7311yescharacteristic
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C42—731no—
1325C2×C42—731no—
1326C2×C42—1461no—
1327C2×C42C22×D7311yescharacteristic
1328#107—731no—
1329#107—731no—
1330#107—731no—
1331#107—731no—
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106C22×D7311yescharacteristic
1341#106C22×D7311yescharacteristic
1342#106C22×D7311yescharacteristic
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8C22×D7311yescharacteristic
1349C4⋊C8C22×D7311yescharacteristic
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102C22×D7311yescharacteristic
1375#102C22×D7311yescharacteristic
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8C22×D7311yescharacteristic
1387C22⋊C8C22×D7311yescharacteristic
1388#97—731no—
1389#97—731no—
1390#97—731no—
1391#97—731no—
1392#97—731no—
1393#97—731no—
1394#97C22×D7311yescharacteristic
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C24—21no—
1399C24—1461no—
1400C24—1461no—
1401C24—1461no—
1402C24—1461no—
1403#41—44no—
1404#41—2924no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2924no—
1410#41—2921no—
1411#41—5842no—
1412#41—1464no—
1413#41—1462no—
1414C2×Q8—21no—
1415C2×Q8—2924no—
1416C2×Q8—731no—
1417C2×Q8—731no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8—1461no—
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—2921no—
1429C2×D4—2924no—
1430C2×D4—2924no—
1431C2×D4—2924no—
1432C2×D4—2924no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2921no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1462no—
1445C2×D4—1461no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1462no—
1456C2×D4—1462no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1462no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4C23×D7311yescharacteristic
1466C2×D4C23×D7311yescharacteristic
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—82no—
1477C22×C4—2924no—
1478C22×C4—2924no—
1479C22×C4—2924no—
1480C22×C4—5842no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4D4×D7311yescharacteristic
1505C22×C4D4×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507SD16—2921no—
1508SD16—2921no—
1509SD16—1462no—
1510SD16—1462no—
1511D8—22no—
1512D8—22no—
1513D8—41no—
1514D8—41no—
1515D8—2921no—
1516D8—2921no—
1517D8—734no—
1518D8—1462no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8—1462no—
1523M16—2921no—
1524M16—1462no—
1525C2×C8—2921no—
1526C2×C8—2921no—
1527C2×C8—731no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—1462no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—731no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4C23×D7311yescharacteristic
1565C4⋊C4C23×D7311yescharacteristic
1566C4⋊C4C23×D7311yescharacteristic
1567C4⋊C4C23×D7311yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—731no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—731no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C42—731no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—1461no—
1616C42—1461no—
1617C42—1461no—
1618C42D4×D7311yescharacteristic
1619C42D4×D7311yescharacteristic
1620C42C23×D7311yescharacteristic
1621C42C23×D7311yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—81no—
1629C23—2922no—
1630C23—2922no—
1631C23—2922no—
1632C23—2922no—
1633C23—2922no—
1634C23—2922no—
1635C23—2922no—
1636C23—2922no—
1637C23—5841no—
1638C23—5841no—
1639C23—5841no—
1640C23—5841no—
1641C23—731no—
1642C23—731no—
1643C23—1461no—
1644C23—1461no—
1645C23—1461no—
1646C23C2×D4×D7311yescharacteristic
1647Q8—42no—
1648Q8—2922no—
1649Q8—2922no—
1650Q8—5841no—
1651Q8—1462no—
1652Q8—1461no—
1653Q8—1461no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—81no—
1666D4—2922no—
1667D4—2922no—
1668D4—2922no—
1669D4—2922no—
1670D4—2922no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—5841no—
1681D4—5841no—
1682D4—5841no—
1683D4—5841no—
1684D4—5841no—
1685D4—734no—
1686D4—732no—
1687D4—1462no—
1688D4—1462no—
1689D4—1461no—
1690D4—1461no—
1691D4—1461no—
1692D4—1461no—
1693D4—1461no—
1694D4#41×D7312yescomplemented
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—41no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2921no—
1716C2×C4—2921no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—731no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—1462no—
1736C2×C4—1462no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—732no—
1757C8—1461no—
1758C8—1461no—
1759C8—1461no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—2921no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—5844no—
1784C22—5844no—
1785C22—5844no—
1786C22—5844no—
1787C22—732no—
1788C22—1461no—
1789C22—1461no—
1790C22—1462no—
1791C22—1461no—
1792C22—1461no—
1793C22—1461no—
1794C22AGL(1,ℤ/8)×D7312yes—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—2921no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—2921no—
1810C4—732no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C2×#41×D7311yescharacteristic
1817C4#1798942311yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—81no—
1821C2—81no—
1822C2—81no—
1823C2—2922no—
1824C2—2921no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2#2262341411yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1830C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3109C2
socleC22×C73C23×D4
hypercenter#3109D73
hypocenterC73#61451
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3109

Complements

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

NH ≅ G/Ntype
1. #22623535C2semidirect
2. #22623417C2semidirect
3. #22622976C2semidirect
4. #22622825C2semidirect
5. #22622726C2semidirect
6. #22622633C2semidirect
7. #22622408C2semidirect
8. #22622399C2semidirect
9. #22622286C2semidirect
10. #22622079C2semidirect
11. #22622070C2semidirect
12. #22621896C2semidirect
13. #22621889C2semidirect
14. #22621753C2semidirect
15. #22621737C2semidirect
16. #22621601C2semidirect
17. #22621406C2semidirect
18. #22621404C2semidirect
19. #22620666C2semidirect
20. #22620627C2semidirect
21. #22620623C2semidirect
22. #22620078C2semidirect
23. #22620071C2semidirect
24. #22620067C2semidirect
25. #22620020C2semidirect
26. #22620020C2semidirect
27. #22618940C2semidirect
28. #22618742C2semidirect
29. C2×#17988697C2semidirect
30. #442×D73C2semidirect
31. C73×#3109C2semidirect
36. #17989320C22semidirect
37. #17989296C22semidirect
38. #17989292C22semidirect
39. #17989287C22semidirect
41. #17989285C22semidirect
44. #17989257C22semidirect
45. #17989252C22semidirect
47. #17989240C22semidirect
49. #17989237C22semidirect
50. #17989232C22semidirect
51. #17989231C22semidirect
56. #17989222C22semidirect
58. #17989221C22semidirect
59. D4×C22⋊D73C22semidirect
60. #17989134C22semidirect
61. #17989134C22semidirect
62. #17989134C22semidirect
63. #17989121C22semidirect
64. #17989119C22semidirect
72. C4×#11924027C22semidirect
73. C2×C4×D292C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
77. C4×D4×D73C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988984C22semidirect
81. #17988975C22semidirect
82. #17988974C22semidirect
83. #17988962C22semidirect
84. #17988951C22semidirect
85. #17988950C22semidirect
86. #17988949C22semidirect
87. #17988945C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988919C22semidirect
91. #17988918C22semidirect
92. #17988913C22semidirect
93. #17988909C22semidirect
94. #17988907C22semidirect
95. #17988907C22semidirect
96. #17988904C22semidirect
97. #17988904C22semidirect
98. #17988901C22semidirect
99. #17988899C22semidirect
100. #17988888C22semidirect
101. #17988888C22semidirect
102. #17988886C22semidirect
103. #17988885C22semidirect
104. #17988876C22semidirect
105. #17988876C22semidirect
106. #17988875C22semidirect
107. #17988875C22semidirect
108. #17988871C22semidirect
109. #17988865C22semidirect
110. #17988841C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988837C22semidirect
114. #17988822C22semidirect
115. #17988821C22semidirect
116. #17988821C22semidirect
117. #17988820C22semidirect
118. #17988817C22semidirect
119. #17988815C22semidirect
120. #17988814C22semidirect
121. #17988814C22semidirect
122. #17988803C22semidirect
123. #17988803C22semidirect
124. #17988801C22semidirect
125. #17988800C22semidirect
126. #17988786C22semidirect
128. #17988781C22semidirect
129. #17988780C22semidirect
130. #17988780C22semidirect
131. #17988780C22semidirect
132. #17988740C22semidirect
133. #17988739C22semidirect
134. #17988733C22semidirect
135. #17988729C22semidirect
137. #17988722C22semidirect
138. #17988722C22semidirect
140. #17988719C22semidirect
141. #17988719C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
144. #17988700C22semidirect
145. #17988700C22semidirect
146. #17988699C22semidirect
147. #17988698C22semidirect
150. #17988697C22semidirect
151. #17988697C22semidirect
152. #17988697C22semidirect
153. #17988697C22semidirect
154. #17988697C22semidirect
155. #17988697C22semidirect
156. #17988697C22semidirect
157. #17988697C22semidirect
159. #17988696C22semidirect
160. #17988689C22semidirect
161. #17988689C22semidirect
162. #17988687C22semidirect
163. #17988687C22semidirect
164. #17988678C22semidirect
165. #17988674C22semidirect
166. D8×Dic73C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. C2×#14556522C22semidirect
178. #106×D73C22semidirect
179. #17988590C22semidirect
180. #17988585C22semidirect
181. C2×#14556512C22semidirect
182. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
188. #532×C73C22semidirect
189. C2×C4×D4×C73C22semidirect
190. #481×C73C22semidirect
191. #481×C73C22semidirect
192. #476×C73C22semidirect
193. #476×C73C22semidirect
194. #459×C73C22semidirect
195. #459×C73C22semidirect
196. #447×C73C22semidirect
197. #447×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #442×C73C22semidirect
201. #442×C73C22semidirect
202. #432×C73C22semidirect
577. #11924013#41semidirect
744. D4×C73C2×#41semidirect
782. C22⋊D73AGL(1,ℤ/8)semidirect
843. #10596831C2×#41semidirect
942. #3109D73semidirect
947. C73#61451semidirect
979. #532C2×D73semidirect
995. C2×C4×D4C2×D73semidirect
1016. #481C2×D73semidirect
1017. #481C2×D73semidirect
1028. #476C2×D73semidirect
1029. #476C2×D73semidirect
1054. #459C2×D73semidirect
1055. #459C2×D73semidirect
1066. #447C2×D73semidirect
1067. #447C2×D73semidirect
1086. #442C2×D73semidirect
1087. #442C2×D73semidirect
1088. #442C2×D73semidirect
1089. #442C2×D73semidirect
1106. #432C2×D73semidirect
1694. D4#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226235352
#226234172
#226229762
#226228252
#226227262
#226226332
#226224082
#226223992
#226222862
#226220792
#226220702
#226218962
#226218892
#226217532
#226217372
#226216012
#226214062
#226214042
#226206662
#226206272
#226206232
#226200782
#226200712
#226200672
#226200202
#226189402
#226187422
C2×#179886972
#442×D732
C73×#31092
#6145173