Finite Group Databasebeta

← #33968015

Subgroups — #33968015

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623544C211yesmaximal, characteristic, complemented
2#22623489C211yesmaximal, characteristic, complemented
3#22623009C211yesmaximal, characteristic, complemented
4#22622873C211yesmaximal, characteristic, complemented
5#22622776C211yesmaximal, characteristic, complemented
6#22622755C211yesmaximal, characteristic, complemented
7#22622443C211yesmaximal, characteristic, complemented
8#22622375C211yesmaximal, characteristic, complemented
9#22622297C211yesmaximal, characteristic, complemented
10#22622124C211yesmaximal, characteristic, complemented
11#22622024C211yesmaximal, characteristic, complemented
12#22621980C211yesmaximal, characteristic, complemented
13#22621896C211yesmaximal, characteristic, complemented
14#22621816C211yesmaximal, characteristic, complemented
15#22621770C211yesmaximal, characteristic, complemented
16#22621642C211yesmaximal, characteristic, complemented
17#22621492C211yesmaximal, characteristic, complemented
18#22621445C211yesmaximal, characteristic, complemented
19#22620658C211yesmaximal, characteristic, complemented
20#22620641C211yesmaximal, characteristic, complemented
21#22620636C211yesmaximal, characteristic, complemented
22#22620100C211yesmaximal, characteristic, complemented
23#22620089C211yesmaximal, characteristic, complemented
24#22620062C211yesmaximal, characteristic, complemented
25#22620036C211yesmaximal, characteristic, complemented
26#22620036C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618753C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30C2×#17988687C211yesmaximal, characteristic, complemented
31C73×#3114C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic
37#17989306C2211yescharacteristic, complemented
38#17989304—21no—
39#17989302C2211yescharacteristic
40#17989294C2211yescharacteristic
41#17989283—21no—
42#17989279C2211yescharacteristic
43#17989277—21no—
44#17989275C2211yescharacteristic, complemented
45#17989274—21no—
46#17989273—21no—
47#17989272C2211yescharacteristic
48#17989272C2211yescharacteristic
49#17989263—21no—
50#17989263—21no—
51#17989250C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic
54#17989241C2211yescharacteristic
55#17989237C2211yescharacteristic
56#17989235—21no—
57#17989231C2211yescharacteristic
58#17989231C2211yescharacteristic
59#17989144C2211yescharacteristic
60#17989141C2211yescharacteristic, complemented
61#17989140—21no—
62#17989119C2211yescharacteristic
63#17989119C2211yescharacteristic
64#17989119C2211yescharacteristic, complemented
65#17989117—21no—
66#17989117—21no—
67#17989117—21no—
68#17989115—21no—
69#17989098—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027—21no—
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C4×#11924027C2211yescharacteristic, complemented
75C2×C4×Dic146C2211yescharacteristic
76C4×Q8×D73C2211yescharacteristic, complemented
77C2×#14556550—21no—
78#17988997C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic
83#17988970C2211yescharacteristic
84#17988957C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic
88#17988940C2211yescharacteristic
89#17988940C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988926C2211yescharacteristic, complemented
94#17988924C2211yescharacteristic, complemented
95#17988918C2211yescharacteristic
96#17988918C2211yescharacteristic
97#17988910C2211yescharacteristic
98#17988910C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic
105#17988889C2211yescharacteristic, complemented
106#17988881C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic
108#17988873C2211yescharacteristic, complemented
109#17988873C2211yescharacteristic, complemented
110#17988846C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic
112#17988832C2211yescharacteristic
113#17988832C2211yescharacteristic, complemented
114#17988829C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic
117#17988826C2211yescharacteristic
118#17988815C2211yescharacteristic
119#17988814C2211yescharacteristic
120#17988814C2211yescharacteristic
121#17988813C2211yescharacteristic
122#17988808C2211yescharacteristic
123#17988808C2211yescharacteristic
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic
126#17988800C2211yescharacteristic
127#17988800C2211yescharacteristic
128#17988798C2211yescharacteristic, complemented
129#17988798C2211yescharacteristic, complemented
130#17988796C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic
132#17988750C2211yescharacteristic
133#17988750C2211yescharacteristic
134#17988750C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic
136#17988745C2211yescharacteristic
137#17988745C2211yescharacteristic
138#17988744C2211yescharacteristic, complemented
139#17988729C2211yescharacteristic
140#17988729C2211yescharacteristic
141#17988724C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic
145#17988695C2211yescharacteristic, complemented
146#17988695C2211yescharacteristic, complemented
147#17988695C2211yescharacteristic, complemented
148#17988695C2211yescharacteristic, complemented
149#17988693C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988692C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988687C2211yescharacteristic
155#17988687C2211yescharacteristic
156#17988687C2211yescharacteristic
157#17988687C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988687C2211yescharacteristic
160#17988687C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic
163#17988684C2211yescharacteristic, complemented
164#17988681C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988678C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic
171#17988655C2211yescharacteristic
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178C2×#14556524C2211yescharacteristic
179#17988594C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic
181#17988580C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic
184C2×#14556512C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189C2×C4×D4×C73C2211yescharacteristic
190#483×C73C2211yescharacteristic
191#480×C73C2211yescharacteristic
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#450×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202#432×C73C2211yescharacteristic
203C2×#11924028D411yescharacteristic
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210#14556620—24no—
211#14556610—24no—
212C2×Dic292C2311yescharacteristic
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924016—24no—
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C22×#10596831C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556590—21no—
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556578C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556570—21no—
284#14556570—21no—
285#14556570—21no—
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556567C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556564—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556560—21no—
308#14556560—21no—
309Q8×Dic73C2311yescharacteristic
310C4×Dic146—21no—
311C4×Dic146—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146D411yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329C4×D292D411yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73D411yescharacteristic
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73C2311yescharacteristic
344C4×C22⋊D73C2311yescharacteristic
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550—21no—
356#14556550—21no—
357#14556550—21no—
358#14556550D411yescharacteristic
359#14556549—21no—
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548D411yescharacteristic
365#14556548D411yescharacteristic
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371C2×C4⋊Dic73—21no—
372C2×C4⋊Dic73—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#124×C73C2311yescharacteristic
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#11924028—42no—
482#11924027—22no—
483#11924027—22no—
484#11924027—22no—
485#11924027—41no—
486#11924027—41no—
487#11924027—41no—
488#11924027—44no—
489C2×Dic146—22no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500Q8×D73—22no—
501Q8×D73—41no—
502C2×D292C2×D411yescharacteristic
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527Dic292—22no—
528Dic292—22no—
529Dic292—41no—
530Dic292—41no—
531#11924018—22no—
532#11924018—41no—
533#11924016—22no—
534#11924016—22no—
535#11924016—22no—
536#11924016—22no—
537#11924016—41no—
538#11924016#4114yescomplemented
539#11924011—22no—
540#11924011—41no—
541C2×#10596831—22no—
542C2×#10596831—41no—
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C8×D73—22no—
548C8×D73—41no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C2×Q8×C73C2411yescharacteristic
641C2×D4×C73—22no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—41no—
645C2×D4×C73C2411yescharacteristic
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—44no—
655C22×C4×C73C2×D411yescharacteristic
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658SD16×C73—22no—
659SD16×C73—41no—
660D8×C73—22no—
661D8×C73—41no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C23×C73—42no—
693C23×C73—42no—
694C23×C73—81no—
695C23×C73C22×D411yescharacteristic
696C22×D73C22×D411yescharacteristic
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700D4×C73—21no—
701D4×C73—21no—
702D4×C73—21no—
703D4×C73—21no—
704D4×C73—21no—
705D4×C73—42no—
706D4×C73—42no—
707D4×C73C2×#4112yes—
708C2×C4×C73—22no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—41no—
717C2×C4×C73—42no—
718C2×C4×C73—42no—
719C2×C4×C73—42no—
720C2×C4×C73—42no—
721C2×C4×C73—42no—
722C2×C4×C73—42no—
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C2511yescharacteristic
729C22⋊D73—22no—
730C22⋊D73—22no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—42no—
735C22⋊D73—81no—
736C22⋊D73—81no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—42no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73—42no—
749C2×Dic73—42no—
750C2×Dic73—42no—
751C2×Dic73—81no—
752C2×Dic73—81no—
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759D292—41no—
760C4×D73—21no—
761C4×D73—21no—
762C4×D73—21no—
763C4×D73—21no—
764C4×D73—41no—
765C4×D73—41no—
766C4×D73—41no—
767C4×D73—41no—
768C4×D73—42no—
769C4×D73—42no—
770Dic146—21no—
771Dic146—21no—
772Dic146—21no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—41no—
778Dic146—42no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—22no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—84no—
803C22×C73#57512yes—
804C22×C73C23×D411yescharacteristic
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73C22×#4111yescharacteristic
822C4×C73#58511yescharacteristic
823Dic73—21no—
824Dic73—21no—
825Dic73—22no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—42no—
840C2×C73—81no—
841C2×C73—81no—
842C2×C73D4×#4111yescharacteristic
843C2×C73C2×#57511yescharacteristic
844C2×C73#358611yescharacteristic
845D73—41no—
846D73—41no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114D7311yescharacteristic, complemented
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—1461no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529C2×D7311yescharacteristic
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—1461no—
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4C2×D7311yescharacteristic
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483C2×D7311yescharacteristic
947#482—731no—
948#482—731no—
949#481—731no—
950#480C2×D7311yescharacteristic
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478C2×D7311yescharacteristic
958#478C2×D7311yescharacteristic
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463C2×D7311yescharacteristic
982#463C2×D7311yescharacteristic
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450C2×D7311yescharacteristic
995#449—731no—
996#449—731no—
997#448—731no—
998#447C2×D7311yescharacteristic
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442C2×D7311yescharacteristic
1003#442C2×D7311yescharacteristic
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440C2×D7311yescharacteristic
1024#440C2×D7311yescharacteristic
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432C2×D7311yescharacteristic
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41—1461no—
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4C22×D7311yescharacteristic
1058C23×C4—21no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—1464no—
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8C22×D7311yescharacteristic
1077C2×D8C22×D7311yescharacteristic
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8—731no—
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8—1461no—
1090#126—21no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—731no—
1103#125—731no—
1104#125—731no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125C22×D7311yescharacteristic
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4C22×D7311yescharacteristic
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—731no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117—1461no—
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—1461no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8C22×D7311yescharacteristic
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308#102C22×D7311yescharacteristic
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97C22×D7311yescharacteristic
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—21no—
1329#41—2922no—
1330#41—2924no—
1331#41—2921no—
1332#41—2921no—
1333#41—2921no—
1334#41—1462no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—2921no—
1338C2×Q8—2921no—
1339C2×Q8—731no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—1462no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1462no—
1348C2×Q8—1461no—
1349C2×Q8—1461no—
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—41no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4C23×D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—44no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—731no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4D4×D7311yescharacteristic
1391C22×C4D4×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—2921no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—41no—
1401SD16—2921no—
1402SD16—734no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—22no—
1408D8—41no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—2921no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—731no—
1487C22⋊C4—731no—
1488C22⋊C4—731no—
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⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C42—21no—
1512C42—731no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—1461no—
1519C42—1461no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42D4×D7311yescharacteristic
1533C42D4×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—42no—
1540C23—42no—
1541C23—81no—
1542C23—731no—
1543C23—731no—
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—2922no—
1548Q8—2921no—
1549Q8—2922no—
1550Q8—2922no—
1551Q8—5841no—
1552Q8—732no—
1553Q8—1461no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—42no—
1566D4—42no—
1567D4—2921no—
1568D4—2922no—
1569D4—2922no—
1570D4—2922no—
1571D4—2922no—
1572D4—5841no—
1573D4—5841no—
1574D4—1462no—
1575D4—1462no—
1576D4#41×D7312yes—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—41no—
1586C2×C4—42no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—2921no—
1593C2×C4—2921no—
1594C2×C4—2921no—
1595C2×C4—2921no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—5841no—
1605C2×C4—5841no—
1606C2×C4—731no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—84no—
1650C22—1461no—
1651C22—1461no—
1652C22—1461no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22#1798938312yes—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—2921no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—1461no—
1676C4—1461no—
1677C4—1461no—
1678C4—1462no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—22no—
1685C2—42no—
1686C2—81no—
1687C2—81no—
1688C2—2921no—
1689C2—2921no—
1690C2#2262341411yescharacteristic
1691C2C2×#1798938311yescharacteristic
1692C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3114C2
socleC22×C73C23×D4
hypercenter#3114D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #22623544C2semidirect
2. #22623489C2semidirect
3. #22623009C2semidirect
4. #22622873C2semidirect
5. #22622776C2semidirect
6. #22622755C2semidirect
7. #22622443C2semidirect
8. #22622375C2semidirect
9. #22622297C2semidirect
10. #22622124C2semidirect
11. #22622024C2semidirect
12. #22621980C2semidirect
13. #22621896C2semidirect
14. #22621816C2semidirect
15. #22621770C2semidirect
16. #22621642C2semidirect
17. #22621492C2semidirect
18. #22621445C2semidirect
19. #22620658C2semidirect
20. #22620641C2semidirect
21. #22620636C2semidirect
22. #22620100C2semidirect
23. #22620089C2semidirect
24. #22620062C2semidirect
25. #22620036C2semidirect
26. #22620036C2semidirect
27. #22618940C2semidirect
28. #22618753C2semidirect
29. #22618728C2semidirect
30. C2×#17988687C2semidirect
31. C73×#3114C2semidirect
35. #17989314C22semidirect
37. #17989306C22semidirect
44. #17989275C22semidirect
52. #17989245C22semidirect
60. #17989141C22semidirect
64. #17989119C22semidirect
74. C4×#11924027C22semidirect
76. C4×Q8×D73C22semidirect
78. #17988997C22semidirect
79. #17988995C22semidirect
80. #17988987C22semidirect
81. #17988982C22semidirect
84. #17988957C22semidirect
85. #17988954C22semidirect
86. #17988946C22semidirect
89. #17988940C22semidirect
90. #17988931C22semidirect
91. #17988931C22semidirect
92. #17988930C22semidirect
93. #17988926C22semidirect
94. #17988924C22semidirect
98. #17988910C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988893C22semidirect
103. #17988892C22semidirect
105. #17988889C22semidirect
106. #17988881C22semidirect
108. #17988873C22semidirect
109. #17988873C22semidirect
110. #17988846C22semidirect
113. #17988832C22semidirect
114. #17988829C22semidirect
115. #17988827C22semidirect
124. #17988808C22semidirect
128. #17988798C22semidirect
129. #17988798C22semidirect
130. #17988796C22semidirect
134. #17988750C22semidirect
138. #17988744C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
145. #17988695C22semidirect
146. #17988695C22semidirect
147. #17988695C22semidirect
148. #17988695C22semidirect
149. #17988693C22semidirect
150. #17988692C22semidirect
151. #17988692C22semidirect
160. #17988687C22semidirect
161. #17988687C22semidirect
163. #17988684C22semidirect
164. #17988681C22semidirect
165. #17988679C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988628C22semidirect
177. #17988622C22semidirect
179. #17988594C22semidirect
182. #17988580C22semidirect
185. #17988539C22semidirect
187. #97×D73C22semidirect
538. #11924016#41semidirect
870. #3114D73semidirect
878. C73#61455semidirect

Maximal subgroups

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

subgroupindex
#226235442
#226234892
#226230092
#226228732
#226227762
#226227552
#226224432
#226223752
#226222972
#226221242
#226220242
#226219802
#226218962
#226218162
#226217702
#226216422
#226214922
#226214452
#226206582
#226206412
#226206362
#226201002
#226200892
#226200622
#226200362
#226189402
#226187532
#226187282
C2×#179886872
C73×#31142
#6145573